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Call number: | 9783319448879:ONLINE Show nearby items on shelf |
Title: | Key Competences in Physics Teaching and Learning Selected Contributions from the International Conference GIREP EPEC 2015, Wrocław Poland, 6–10 July 2015 |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (XII, 230 p. 81 illus., 58 illus. in color p.) |
Contents: | Part I: Towards Shaping Key Competences -- Role of Key Competences in Physics Teaching and Learning -- Competence and Understanding: A Personal perspective -- Analysing the Competency of Mathematical Modelling in Physics -- |
Introduction of Current Scientific Results to Education: Experiences from the Case of Liquid Crystals -- The Influence of Epistemic Views about the Relationship between Physics and Mathematics in Understanding Physics Concepts and | |
Problem Solving -- Part II: Educational research and development -- Analysing the Conceptions on Modelling of Engineering Undergraduate Students: A Case Study Using Cluster Analysis -- Classroom Evidence of Teachers' PCK of the | |
Interplay of Physics and Mathematics -- Development of Research Based Teaching Materials: The Learning Output of a Course for Geometrical Optics for Lower Secondary Students | |
ISBN: | 9783319448879 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Mathematics , Science education , Teaching , Physics , Physics, general , Science Education , Teaching and Teacher Education , Mathematics Education |
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Call number: | 9783319428635:ONLINE Show nearby items on shelf |
Title: | Exploring Classical Greek Construction Problems with Interactive Geometry Software |
Author(s): |
Ad Meskens |
Date: | 2017 |
Size: | 1 online resource (XII, 185 p. 160 illus., 10 illus. in color p.) |
Contents: | 1 Introduction -- 2 The Genesis of Geometry -- 3 Straightedge and compass constructions -- 4 The Delian Problem -- 5 Trisecting an angle -- 6 Squaring the circle -- 7 Constructible numbers -- 8 The Cinderella of regular polygons -- |
Afterthoughts -- Solutions -- Index | |
ISBN: | 9783319428635 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Geometry , History , Mathematics , Mathematics , Geometry , History of Mathematical Sciences , Mathematics Education |
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Call number: | SPRINGER-2016-9788132227885:ONLINE Show nearby items on shelf |
Title: | Freedom in Mathematics |
Author(s): |
Pierre Cartier |
Date: | 2016 |
Size: | 1 online resource (117 p.) |
Note: | 10.1007/978-81-322-2788-5 |
Contents: | Presentation of the Authors (Pierre Cartier, Jean Dhombres, Gerhard Heinzmann, Cedric Villani) -- On the Origins of Mathematics -- The Relations between Mathématics and Reality -- Social and Political History of Mathematics Education -- Nature and Issues of the Mathematics Research -- Conclusion -- Annexure |
ISBN: | 9788132227885 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , History , Social sciences , Mathematics , History of Mathematical Sciences , Applications of Mathematics , Mathematics in the Humanities and Social Sciences |
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Call number: | SPRINGER-2016-9783319285825:ONLINE Show nearby items on shelf |
Title: | Mathematical Cultures The London Meetings 2012-2014 |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (24 p.) |
Note: | 10.1007/978-3-319-28582-5 |
Contents: | Introduction -- Understanding the cultural construction of school mathematics -- Envisioning Transformations – The Practice of Topology -- Creative Discomfort: The Culture of the Gelfand Seminar at Moscow University -- Mathematical Culture and Mat hematics Education in Hungary in the XXth Century -- On the Emergence of a New Mathematical Object: an Ethnography of a Duality Transform -- What are we like… -- Mathematics as a social differentiating factor: men of letters, politicians and engineers i n Brazil through the Nineteenth Century -- “The End of Proof”? The integration of different mathematical cultures as experimental mathematics comes of age -- Diversity in Proof Appraisal -- What would the mathematics curriculum look like if instead of concepts and techniques, values were the focus? -- Mathematics and Values -- Purity as a Value in the German-speaking area -- Values in Caring for Proof -- An empirical approach to the mathematical values of problem choice and argumentation -- The |
Notion of Fit as a Mathematical Value -- Mathematical Pull -- Mathematics and First Nations in Western Canada: from cultural destruction to a re-awakening of mathematical reflections -- Remunerative Combinatorics: Mathematicians and their Sponsors i n the Mid-Twentieth Century -- Calling a Spade a Spade: Mathematics in the New Pattern of Division of Labour -- Mathematics and mathematical cultures in fiction: the case of Catherine Shaw -- Morality and Mathematics -- The Great Gibberish - Mathematics i n Western Popular Culture -- Is Mathematics an issue of general education? | |
ISBN: | 9783319285825 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Philosophy and science , History , Mathematics , Mathematics , History of Mathematical Sciences , Mathematics Education , Philosophy of Science |
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Call number: | SPRINGER-2016-9783319218281:ONLINE Show nearby items on shelf |
Title: | A Student's Guide Through the Great Physics Texts Volume IV: Heat, Atoms and Quanta |
Author(s): |
Kerry Kuehn |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (463 p.) |
Note: | 10.1007/978-3-319-21828-1 |
Contents: | A New Science of Heat -- Heat, Symmetry and Mathematics -- Steam Engines and Heat Flow -- Carnot's Cycle -- Engines are Thermometers -- Temperature, Pressure and Reversibility -- The Language of Science -- Energy and Entropy -- |
Conduction of Heat -- On Radiation -- Atomism and Kinetic Theory -- Atomism and Kinetic Theory 2 -- Dynamical and Statistical Laws -- The Discovery of the Electron -- The Mass and Velocity of a-particles -- Identifying the a Particle | |
-- Targeting the Nucleus -- Nuclear Structure -- The Discovery of the Neutron -- The Nature of the Neutron -- Corpuscles of Light -- X-Ray Optics 1 -- X-Ray Optics 2 -- Electron diffraction 1 -- Electron diffraction 2 -- The Bohr model | |
of the atom -- Atomic spectra -- The periodic table -- The Birth of the Quantum -- Matter Waves -- Quantum Orthodoxy -- Causality and Chance in Quantum Theory -- Indeterminacy -- Bohm's critique of Copenhagen | |
ISBN: | 9783319218281 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Philosophy and science , Science education , Cosmology , Physics , History and Philosophical Foundations of Physics , Philosophy of Science , Science Education , Cosmology |
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Call number: | SPRINGER-2014-9789401786225:ONLINE Show nearby items on shelf |
Title: | Computational Experiment Approach to Advanced Secondary Mathematics Curriculum [electronic resource] |
Author(s): |
Sergei Abramovich |
Date: | 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digitaleducation era. This approac h, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allowsone (in the spirit of Freudenthal) to bridge seri ous mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When usedappropriately, the approach creates conditions for collateral learning (in t he spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teachereducation program, this book addresses a call for the preparation of teachers capable of utilizi ng modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the wholeSTEM education at the secondary level. By the same token, using the books pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation ofengineering profession |
Contents: | Preface |
1. Theoretical foundations of computational experiment approach to secondary mathematics | |
2. One | |
variable equations and inequalities: the unity of computational experiment and formal demonstration | |
3. Computationally supported study of quadratic functions depending on parameters | |
4. Computational experiment approach to equations with parameters | |
5. Inequalities with parameters as generators of new meanings | |
6. Computational experiments in trigonometry | |
7. Advancing stem education through temp: Geometric probabilities | |
8. Exploring topics in elementary number theory thr | |
ISBN: | 9789401786225 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics Education in the Digital Era, 2211-8136 : v3 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Education , Computer science Mathematics , Computer software , Mathematics |
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Call number: | SPRINGER-2014-9789400746381:ONLINE Show nearby items on shelf |
Title: | The Mathematics Teacher in the Digital Era [electronic resource] : An International Perspective on Technology Focused Professional Development |
Author(s): |
Alison Clark-Wilson Ornella Robutti Nathalie Sinclair |
Date: | 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | This volume addresses the key issue of the initial education and lifelong professional learning of teachers of mathematics to enable them to realize the affordances of educational technology for mathematics. With invitedcontributions from leading sch olars in the field, this volume contains a blend of research articles and descriptive texts. In the opening chapter John Mason invites the reader to engage in a number of mathematics tasks that highlightimportant features of technology-mediated mathematic al activity. This is followed by three main sections: An overview of current practices in teachers use of digital technologies in the classroom and explorations of thepossibilities for developing more effective practices drawing on a range of research per spectives (including grounded theory, enactivism and Valsiners zone theory). Aset of chapters that share many common constructs (such asinstrumental orchestration, instrumental distance and double instrumental genesis) and research settings that have emer ged from the French research community, but have also been taken up by other colleagues. Meta-level considerationsof research in the domain by contrasting different approaches and proposing connecting or uniting elements |
Contents: | Contents |
Opening section. Foreword: David Pimm | |
Introduction: Alison Clark | |
Wilson, Ornella Robutti and Nathalie Sinclair | |
Chapter 0: Interactions between teacher, student, software and mathematics: Getting a purchase on learning with technology: John Mason | |
Section A | |
Chapter 1: Exploring the quantitative and qualitative gap between expectation and implementation: A survey of English mathematics teachers uses of ICT: Nicola Bretscher | |
Chapter 2: Teaching with digital technology: Obstacles and opportunities: Michael Thomas and Joann Palmer | |
Chapter 3: A developmental model | |
ISBN: | 9789400746381 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics Education in the Digital Era, 2211-8136 : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Education , Mathematics , Education Psychology |
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Call number: | SPRINGER-2014-9783319081359:ONLINE Show nearby items on shelf |
Title: | Andr-Louis Cholesky [electronic resource] : Mathematician, Topographer and Army Officer |
Author(s): |
Claude Brezinski Dominique Tourns |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Outside the professional circles of topography and applied mathematics, the life and work of Andr-Louis Cholesky (18751918) are still relatively unknown to the scientific community. This new book appreciably widens theexposure of his remarkable perso nal achievements in topography and mathematics to a much larger international audience. Cholesky is also interesting to historians because he is a perfect representative of the scientistsengineers that, since the early 19th century, had issued from the F rench scientific high schools. Because they had received a high level of mathematical education, they were able to innovate in their practice of engineering. In thecase of Cholesky, this resulted in original contributions in artillery, topography, numeric al analysis and graphical calculation. In addition, the book places his education and works within the history of several European countriesthrough the 17th to 19th centuries. The book begins with Cholesky's biography, followed by his familys history and an introduction to topography. It continues with a historical analysis of an unpublished paper (translated intoEnglish) in which Cholesky explained his method for linear systems. Cholesky's other works are then described, such as his participation in tea ching at a superior school by correspondence founded by Lon Eyrolles. His importantunpublished book in French on graphical calculation, which is reproduced in its entirety, is analyzed in detail and compared to similar contemporary publications. The biogr aphy of Ernest Benoit, who wrote the first paper on Cholesky'smethod, is provided. Various documents, highlighting the life and the personality of Cholesky, round out his story and end the book |
Contents: | Preface |
Biography of Cholesky | |
Cholesky's family | |
On topography | |
The method of Cholesky for linear systems | |
Other works of Cholesky | |
Lon Eyrolles and his superior school | |
An unpublished book by Cholesky | |
Ernest Benot | |
Documents | |
Acknowledgments | |
Bibliography | |
Index | |
ISBN: | 9783319081359 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics |
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Call number: | SPRINGER-2014-9783319056548:ONLINE Show nearby items on shelf |
Title: | A Readable Introduction to Real Mathematics [electronic resource] |
Author(s): |
Daniel Rosenthal David Rosenthal Peter Rosenthal |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach areal understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and toother subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic highschool algebra some trigonometry is needed for Chapters 9 and 12. Topics covered include: * mathematical induction * modular arithmetic * the fundamental theorem of arithmetic * Fermat's little theorem * RSA encryption * the Euclideanalgorithm * rational and irrational numbers * complex numbers * cardinality * Euclidea n plane geometry * constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass) This textbookis suitable for a wide variety of courses and for a broad range of students in the fields of education, li beral arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able tofurther their understanding of mathematical thinking by reading this book |
Contents: | 1. Introduction to the Natural Numbers |
2. Mathematical Induction | |
3. Modular Arithmetic | |
4. The Fundamental Theorem of Arithmetic | |
5. Fermat's Theorem and Wilson's Theorem | |
6. Sending and Receiving Coded Messages | |
7. The Euclidean Algorithm and Applications | |
8. Rational Numbers and Irrational Numbers | |
9. The Complex Numbers | |
10. Sizes of Infinite Sets | |
11. Fundamentals of Euclidean Plane Geometry | |
12. Constructability | |
ISBN: | 9783319056548 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Undergraduate Texts in Mathematics, 0172-6056 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry , Number theory |
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Call number: | SPRINGER-2014-9783319053653:ONLINE Show nearby items on shelf |
Title: | Progress in Industrial Mathematics at ECMI 2012 [electronic resource] |
Author(s): |
Magnus Fontes Michael Gnther Nicole Marheineke |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book contains the proceedings of the 17th European Conference on Mathematics for Industry, ECMI2012, held in Lund, Sweden, July 2012, at which ECMI celebrated its 25th anniversary. It covers mathematics in a wide range ofapplications and methods , from circuit and electromagnetic devices, environment, fibers, flow, medicine, robotics and automotive industry, further applications to methods and education. The book includes contributions from leadingfigures in business, science and academia who pro mote the application of mathematics to industry and emphasize industrial sectors that offer the most exciting opportunities. The contributions reinforce the role of mathematics as beinga catalyst for innovation as well as an overarching resource for indus try and business. The book features an accessible presentation of real-world problems in industry and finance, provides insight and tools for engineers andscientists which will help them to solve similar problems, and offers modeling and simulation techni ques that will provide mathematicians with a source of fresh ideas and inspiration |
Contents: | Preface |
25 Years of ECMI: A View Back to its Childhood | |
Part I Circuits and Electromagnetic Devices | |
Part II Environment | |
Part III Fibers | |
Part IV Flow | |
Part V Medicine | |
Part VI Robotics and Automotive Industry | |
Part VII Further Applications | |
Part VIII Methods | |
Part IX Education | |
ISBN: | 9783319053653 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics in Industry, 1612-3956 : v19 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Finance , Computer science Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2014-9783319052601:ONLINE Show nearby items on shelf |
Title: | Excel 2010 for Health Services Management Statistics [electronic resource] : A Guide to Solving Practical Problems |
Author(s): |
Thomas J Quirk Simone Cummings |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This is the first book to show the capabilities of Microsoft Excel to teach health services management statistics effectively. It is a step-by-step exercise-driven guide for students and practitioners who need to master Excel tosolve practical health services management problems. If understanding statistics isnt your strongest suit, you are not especially mathematically-inclined, or if you are wary of computers, this is the right book for you. Excel, awidely available computer program for students a nd managers, is also an effective teaching and learning tool for quantitative analyses in health services management courses. Its powerful computational ability and graphical functionsmake learning statistics much easier than in years past. However, Excel 2010 for Health Services Management Statistics: A Guide to Solving Practical Problems is the first book to capitalize on these improvements by teaching studentsand managers how to apply Excel to statistical techniques necessary in their courses and work. Each chapter explains statistical formulas and directs the reader to use Excel commands to solve specific, easy-to-understand healthservices management problems. Practice problems are provided at the end of each chapter with their solutions in an Append ix. Separately, there is a full Practice Test (with answers in an Appendix) that allows readers to test what theyhave learned. Includes 160 illustrations in color Suitable for upper undergraduates or graduate students At the beginning of his academic c areer, Prof. Quirk spent six years in educational research at The American Institutesfor Research and Educational Testing Service. He is currently a Professor of Marketing in The Walker School of Business & Technology at Webster University in St. Louis, M issouri (USA), where he teaches Marketing Statistics, MarketingResearch, and Pricing Strategies. He holds a B.S. in Mathematics from John Carroll University, both an M.A. in Education a |
Contents: | Sample Size, Mean, Standard Deviation and StandardError of the Mean |
Random Number Generator | |
Confidence Interval About the Mean Using the TINVFunction and Hypothesis Testing | |
One | |
Group t | |
Test for the Mean | |
Two | |
Group t | |
Test of the Difference of the Means for Independent Groups | |
Correlation and Simple Linear Regression | |
Multiple Correlation and Multiple Regression | |
ANOVA | |
Appendices | |
Index | |
ISBN: | 9783319052601 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Practice of medicine |
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Call number: | SPRINGER-2014-9783319015958:ONLINE Show nearby items on shelf |
Title: | Data Analysis, Machine Learning and Knowledge Discovery [electronic resource] |
Author(s): |
Myra Spiliopoulou Lars Schmidt-Thieme Ruth Janning |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Data analysis, machine learning and knowledge discovery are research areas at the intersection of computer science, artificial intelligence, mathematics and statistics. They cover general methods and techniques that can be appliedto a vast set of app lications such as web and text mining, marketing, medicine, bioinformatics and business intelligence. This volume contains the revised versions of selected papers in the field of data analysis, machine learning andknowledge discovery presented during the 36th annual conference of the German Classification Society (GfKl). The conference was held at the University of Hildesheim (Germany) in August 2012 |
Contents: | AREA Statistics and Data Analysis: Classifcation, Cluster Analysis, Factor Analysis and Model Selection |
AREA Machine Learning and Knowledge Discovery: Clustering, Classifiers, Streams and Social Networks | |
AREA Data Analysis and Classification in Marketing | |
AREA Data Analysis in Finance | |
AREA Data Analysis in Biostatistics and Bioinformatics | |
AREA Interdisciplinary Domains: Data Analysis in Music, Education and Psychology | |
LIS Workshop: Workshop on Classification and Subject Indexing in Library and Information Science | |
ISBN: | 9783319015958 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Studies in Classification, Data Analysis, and Knowledge Organization, 1431-8814 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Data mining , Statistical methods , Mathematical statistics , Marketing , Philosophy (General) |
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Call number: | SPRINGER-2014-9783319008134:ONLINE Show nearby items on shelf |
Title: | Quantum Mechanics for Pedestrians 2: Applications and Extensions [electronic resource] |
Author(s): |
Jochen Pade |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The two-volume textbook Quantum Mechanics for Pedestrians provides an introduction to the basics of nonrelativistic quantum mechanics. Originally written as a course for students of science education, the book addresses all thosescience students and others who are looking for a reasonably simple, fresh and modern introduction to the field. The basic principles of quantum mechanics are presented in the first volume. This second volume discusses applications andextensions to more complex problems. In a ddition to topics traditionally dealt with in quantum mechanics texts, such as symmetries or many-body problems, here also issues of current interest such as entanglement, Bell's inequalities,decoherence and various aspects of quantum information are trea ted in detail. Furthermore, questions of the basis of quantum mechanics and epistemological issues are discussed explicitly these are relevant e.g. to the realism debate.A chapter on the interpretations of quantum mechanics completes this volume. The nece ssary mathematical tools are introduced step by step in the appendix, the most relevant mathematics is compiled in compact form. More advanced topicssuch as the Lenz vector, Hardy's experiment and Shor's algorithm are treated in more detail in the appendi x. As an essential aid to learning and teaching, 130 exercises are included, most of them with their solutions |
Contents: | One |
Dimensional Piecewise Constant Potentials | |
Angular Momentum | |
The Hydrogen Atom | |
Harmonic Oscillator | |
Perturbation Theory | |
Entanglement, EPR, Bell | |
Symmetries and Conservation Laws | |
Density Operator | |
Identical Particles | |
Decoherence | |
Scattering | |
Quantum Information | |
Is Quantum Mechanics Complete? | |
Discussion and Interpretations of Quantum Mechanics | |
ISBN: | 9783319008134 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2014-9781493914746:ONLINE Show nearby items on shelf |
Title: | Alfred Tarski [electronic resource] : Early Work in PolandGeometry and Teaching |
Author(s): |
Andrew McFarland Joanna McFarland James T Smith |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Alfred Tarski (19011983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic, and universal algebra.Throughout his career, he taug ht mathematics and logic at universities and sometimes in secondary schools. Many of his writings before 1939 were in Polish and remained inaccessible to most mathematicians and historians until now. Thisself-contained book focuses on Tarskis early contri butions to geometry and mathematics education, including the famous BanachTarski paradoxical decomposition of a sphere as well as high-school mathematical topics and pedagogy.These themes are significant since Tarskis later research on geometry and its fo undations stemmed in part from his early employment as a high-school mathematics teacher and teacher-trainer. The book contains careful translations andmuch newly uncovered social background of these works written during Tarskis years in Poland. Alfred Ta rski: Early Work in PolandGeometry and Teaching serves the mathematical, educational, philosophical, and historicalcommunities by publishing Tarskis early writings in a broadly accessible form, providing background from archival work in Poland, and updati ng Tarskis bibliography |
Contents: | 1 Tarskis first paper |
1.1 Introduction | |
1.2 Item 1 below (nearing completion) | |
2 Papers on equidecomposibility of polygons | |
2.1 Introduction | |
2.2 Item 2 below (nearing completion) | |
2.3 Item 6 below (old translation, needs redoing) | |
2.4 Item 8 below (old translation, needs redoing) | |
2.5 Exercise 31pc in item 11g below | |
3 Papers related to secondary teaching | |
3.1 Introduction | |
3.2 Item 4 below (meeting report) | |
3.3 Item 7 below (on circles, nearing completion) | |
3.4 Extract from Item 9 below (textbook) | |
3.5 Remainder of item 11 below (exercises) | |
4 Assorted cont | |
ISBN: | 9781493914746 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2014-9781461491552:ONLINE Show nearby items on shelf |
Title: | Handbook on the History of Mathematics Education [electronic resource] |
Author(s): |
Alexander Karp Gert Schubring |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and variedhistory of mathemati cs education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, howeverbrief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the informationthey need about historical developments in mathematics education, no t only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of thehistory of education in general, as well as specialists in cultural and even social hist ory |
Contents: | Part 1. History and Methodology of the Field |
1.On historiography of teaching and learning mathematics | |
2.The History of Mathematics Education: Developing a Research Methodology | |
Part 2.Mathematics Education in Different Epochs and in Different Regions: Antiquity and the Middle Ages | |
3.Mathematics Education in Antiquity | |
4.Mathematics Education in Oriental Antiquity and the Middle Ages | |
5.Teaching the Mathematical Sciences in Islamic Societies, 8th | |
17th Centuries | |
6.Mathematics Education in the European Middle Ages | |
Part 3.Mathematics Education in Different Epochs and in Differ | |
ISBN: | 9781461491552 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics |
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Call number: | SPRINGER-2013-9783319006307:ONLINE Show nearby items on shelf |
Title: | Excel 2010 for Physical Sciences Statistics [electronic resource] : A Guide to Solving Practical Problems |
Author(s): |
Thomas J Quirk Meghan Quirk Howard Horton |
Date: | 2013 |
Publisher: | Heidelberg : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is the first book to show the capabilities of Microsoft Excel to teach physical sciences statistics effectively. It is a step-by-step exercise-driven guide for students and practitioners who need to master Excel to solvepractical science problem s. If understanding statistics isnt your strongest suit, you are not especially mathematically-inclined, or if you are wary of computers, this is the right book for you. Each chapter explains statisticalformulas and directs the reader to use Excel command s to solve specific, easy-to-understand science problems. Practice problems are provided at the end of each chapter with their solutions in an appendix. Separately, there is a fullPractice Test (with answers in an Appendix) that allows readers to test wha t they have learned. Includes 159 illustrations in color. Suitable for undergraduates or graduate students. Professor.Thomas J. Quirk is currently a Professor of Marketing in the Walker School of Business and Technology at Webster University in St. Loui s, Missouri (USA). He has published over 20 articles in professional journals and presented morethan 20 papers at professional conferences. He holds a B.S. in Mathematics from John Carroll University, and both an M.A. in Education and a Ph.D. in Education al Psychology from Stanford University, as well as an M.B.A. from theUniversity of Missouri-St. Louis. Dr. Meghan H. Quirk holds both a Ph.D. in Biological Education and an M.A. in Biological Sciences from the University of Northern Colorado (UNC) and a B .A. in Biology and Religion at Principia Collegein Elsah, Illinois. She has done research on foodweb dynamics at Wind Cave National Park in South Dakota and research in agro-ecology in Southern Belize. She has co-authored an article on shortgrass steppe e cosystems in Photochemistry& Photobiology. She was a National Science Foundation Fellow GK-12, and currently teaches in Bailey, Colorado. Howard F. Horton holds an |
Note: | Springer eBooks |
ISBN: | 9783319006307 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics |
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Call number: | SPRINGER-2013-9781461482864:ONLINE Show nearby items on shelf |
Title: | Estimation and Control Problems for Stochastic Partial Differential Equations [electronic resource] |
Author(s): |
Pavel S Knopov Olena N Deriyeva |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partialdifferential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools for resolving specific applied problems, and presents researchthat has not previously been covered. More g enerally, this book is intended for scientists, graduate, and post-graduates specializing in probability theory and mathematical statistics. The models presented describe many processes inturbulence theory, fluid mechanics, hydrology, astronomy, and meteo rology, and are widely used in pattern recognition theory and parameter identification of stochastic systems. Therefore, this book may also be useful to appliedmathematicians who use probability and statistical methods in the selection of useful signals s ubject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Material presented in this monographcan be used for education courses on the estimation and control theory of random fields |
Note: | Springer eBooks |
Contents: | 1. Two Parameter Martingales and Their Properties |
2. Stochastic Differential Equations on the Plane | |
3. Filtration and Prediction Problems for Stochastic Fields | |
4. Control Problem for Diffusion | |
Type Random Fields | |
5. Stochastic Processes in a Hilbert Space | |
References | |
ISBN: | 9781461482864 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Optimization and Its Applications, 1931-6828 : v83 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Systems theory , Mathematical optimization |
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Call number: | SPRINGER-2013-9781461463337:ONLINE Show nearby items on shelf |
Title: | The Mathematics of Frobenius in Context [electronic resource] A Journey Through 18th to 20th Century Mathematics |
Author(s): |
Thomas Hawkins |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Frobenius is best known as creator of the theory of group characters and representations, but his name is attached to a multitude of theorems and concepts from a broad spectrum of mathematical disciplines. In this book hismathematicsis presented in c ontext in two senses. The first provides the reader with the historical background necessary to understand why Frobenius undertook to solve a particular problem and to appreciate the magnitude of hisachievement. Part of the context involves Frobenius trai ning in the Berlin school of mathematics presided over by Weierstrass, Kronecker, and Kummer, from whom he learned disciplinary ideals as well as theorems. Frobeniusmathematics is also presented in context in that the author traces the ways in which his w ork was subsequently applied, developed, and ultimately incorporated into present-day mathematics. As a consequence of the contextualapproach, the reader will encounter a broad swath of diverse and important strands of 18th20th century mathematics, rangin g from the work of Lagrange and Laplace on stability of linear systems of differential equations to the theoryof complex abelian varieties. The book is divided into three parts. Part I provides an overview of Frobenius entire mathematical career and thus serves as an introduction to the main body of the book. Here, within the framework ofhis educational and professional career, his contributions to mathematics and the attendant backgrounds are briefly sketched and their subsequent impact upon the developm ent of mathematics indicated. Part II presents the development ofcore aspects of linear algebra up to and including the work of Weierstrass and Kronecker. The chapters of Part III deal in depth with Frobenius major works and can be read independently of o ne another. Thomas Hawkins was awarded theMAA Chauvenet Prize for expository writing and was the first recipient of the AMS Whiteman Prize for historical exposition. His las |
Note: | Springer eBooks |
Contents: | 1. A Berlin Education |
2. Professor at the Zurich Polytechnic | |
3. Berlin Professor | |
4. The Paradigm | |
5. Further Development of the Paradigm | |
6. The Problem of Pfaff | |
7. The Cayley | |
Hermite Problem and Matrix Algebra | |
8. Arithmetical Investigations: Linear Algebra | |
9. Arithmetical Investigations: Groups | |
10. Abelian Functions | |
11. Frobenius' Generalized Theory of Theta Functions | |
12. The Group Determinant Problem | |
13. Group Characters and Representations | |
14. Alternate Routes to Representation Theory | |
15. Characters and Representations after 1897 | |
16. Loose Ends | |
ISBN: | 9781461463337 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Sources and Studies in the History of Mathematics and Physical Sciences, 2196-8810 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Matrix theory |
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Call number: | SPRINGER-2012-9784431541387:ONLINE Show nearby items on shelf |
Title: | Teaching and Learning of Knot Theory in School Mathematics [electronic resource] |
Author(s): |
Akio Kawauchi Tomoko Yanagimoto |
Date: | 2012 |
Publisher: | Tokyo : Springer Japan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor HirokazuOkamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear andconcise introduction to the fundamentals of knot th eory, an overview of curricular developments in Japan, and in particular a series of teaching experiments at all levels which not only demonstrate the creativity and the professionalexpertise of the members of the study group, but also give a lively impre ssion of students learning processes. In addition the reports show thatelementary knot theory is not just a preparation for advanced knot theory but also anexcellent means to develop spatial thinking. The book can be highly recommended for several reasons : First of all, and that is the main intention of the book, it serves as a comprehensive text for teaching and learning knot theory.Moreover it provides a model for cooperation between mathematicians and mathematics educators based on substantial mathemat ics. And finally it is a thorough introduction to the Japanese art of lesson studiesagain in the context ofsubstantial mathematics |
Note: | Springer eBooks |
ISBN: | 9784431541387 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry , Topology |
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Call number: | SPRINGER-2012-9783642256202:ONLINE Show nearby items on shelf |
Title: | A Theory of Branched Minimal Surfaces [electronic resource] |
Author(s): |
Anthony Tromba |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not i.e. does its derivative have maximal rank everywhere. The purpose of this monographis to present an elemen tary proof of this very fundamental and beautiful mathematical result. The exposition follows the original line of attack initiated by Jesse Douglas in his Fields medal work in 1931, namely use Dirichlet's energyas opposed to area. Remarkably, the author shows how to calculate arbitrarily high orders of derivatives of Dirichlet's energy defined on the infinite dimensional manifold of all surfaces spanning a contour, breaking new ground in theCalculus of Variations, where normally only the second derivativ e or variation is calculated. The monograph begins with easy examples leading to a proof in a large number of cases that can be presented in a graduate course in eithermanifolds or complex analysis. Thus this monograph requires only the most basic knowled ge of analysis, complex analysis and topology and can therefore be read by almost anyone with a basic graduate education |
Note: | Springer eBooks |
Contents: | 1.Introduction |
2.Higher order Derivatives of Dirichlets' Energy | |
3.Very Special Case The Theorem for n + 1 Even and m + 1 Odd | |
4.The First Main Theorem Non | |
Exceptional Branch Points | |
5.The Second Main Theorem: Exceptional Branch Points The Condition k > l | |
6.Exceptional Branch Points Without The Condition k > l | |
7.New Brief Proofs of the Gulliver | |
Osserman | |
Royden Theorem | |
8.Boundary Branch Points | |
Scholia | |
Appendix | |
Bibliography | |
ISBN: | 9783642256202 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions of complex variables , Global analysis , Sequences (Mathematics) , Global differential geometry |
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Call number: | SPRINGER-2012-9783642202360:ONLINE Show nearby items on shelf |
Title: | Analysis for Science, Engineering and Beyond [electronic resource] : The Tribute Workshop in Honour of Gunnar Sparr held in Lund, May 8-9, 2008 |
Author(s): |
Kalle strm Lars-Erik Persson Sergei D Silvestrov |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book project was initiated at The Tribute Workshop in Honour of Gunnar Sparr and the follow-up workshop Inequalities, Interpolation, Non-commutative Analysis, Non-commutative Geometry and Applications, held at the Centre forMathematical Sciences , Lund University in May and November of 2008. The resulting book is dedicated in celebration of Gunnar Sparr's sixty-fifth anniversary and more than forty years of exceptional service to mathematics and itsapplications in engineering and technology, math ematics and engineering education, as well as interdisciplinary, industrial and international cooperation. This book presents new advances in several areas of mathematics andengineering mathematics including applications in modern technology, engineering and life sciences. Thirteen high-quality chapters put forward many new methods and results, reviews of up to date research and open directions andproblems for future research. A special chapter by Gunnar Sparr and Georg Lindgren contains a historical acc ount and important aspects of engineering mathematics research and education, and the implementation of the highly successfuleducation programme in Engineering Mathematics at Lund Institute of Technology, where not only the mathematical sciences have play ed a role. This book will serve as a source of inspiration for a broad spectrum of researchers andresearch students |
Note: | Springer eBooks |
Contents: | 1 Gunnar Sparr |
the Remarkable Mathematician, Entrepreneur and Ambassador for Mathematics by Lars | |
Erik Persson | |
2 The Engineering Mathematics Study Programme in Lund | |
Background and Implementation by Georg Lindgren and Gunnar Sparr | |
3 Theory of EdgeDetection by Jan J. Koenderink | |
4 Shape Modeling by Optimising Description Length Using Gradients and Parameterisation Invariance by Johan Karlsson, Anders Ericsson and Kalle strm | |
5 On the Bijectivity of Thin | |
Plate Splines by Anders P. Erikson and Kalle strm | |
6 Statistical and Knowledge Supported Visualization of Multiv | |
ISBN: | 9783642202360 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics, 2190-5614 : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Engineering mathematics |
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Call number: | SPRINGER-2012-9783034804363:ONLINE Show nearby items on shelf |
Title: | Mathematical Optimization of Water Networks [electronic resource] |
Author(s): |
Alexander Martin Kathrin Klamroth Jens Lang Gnter Leugering Antonio Morsi Martin Oberlack Manfred Ostrowski Roland Rosen |
Date: | 2012 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particularrainfall, on the other hand. According to their size, water networks consist of hundreds or thousands of system elements. Moreover, different types of decisions (continuous and discrete) have to be taken in the water management. Thenetworks have to be optimized in terms of topology and operation by targeting a variety of criteria. Criteria may for example be economic, social or ecological ones and may compete with each other. The development of complex modelsystems and their use for deriving optimal decisions in water management is taking place at a rapid pace. Simulation and optimization methods originating in Operations Research have been used for several decades usually with verylimited direct cooperation with applied mathematics. The research presented here aims at bridging this gap, thereby opening up space for synergies and innovation. It is directly applicable for relevant practical problems and has beencarried out in cooperation with utility and dumping companies, infrastructure providers and planning offices. A close and di rect connection to the practice of water management has been established by involving application-orientedknow-how from the field of civil engineering. On the mathematical side all necessary disciplines were involved, including mixed-integer optimization, multi-objective and facility location optimization, numerics for cross-linked dynamictransportation systems and optimization as well as control of hybrid systems. Most of the presented research has been supported by the joint project Discret-continuous o ptimization of dynamic water systems of the federalministry of education and research (BMBF) |
Note: | Springer eBooks |
Contents: | Part I Optimization of Water Supply Networks |
Modelling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems | |
Simulation and Continuous Optimization | |
Mixed Integer Optimizationof Water Supply Networks | |
Nonlinear and Mixed Integer Linear Programming | |
Part II Optimal Control of Sewer Networks | |
Optimal Control of Sewer Networks Problem Description | |
Modelling of Channel Flows with Transition Interface Separating Free Surface and Pressurized Channel Flows | |
Optimal Control of Sewer Networks Engineers View | |
Real | |
Time Control of Urban Drainage Systems | |
Performance | |
ISBN: | 9783034804363 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v162 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2012-9783034802512:ONLINE Show nearby items on shelf |
Title: | Iris Runge [electronic resource] : A Life at the Crossroads of Mathematics, Science, and Industry |
Author(s): |
Renate Tobies |
Date: | 2012 |
Publisher: | Basel : Springer Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book concerns the origins of mathematical problem solving at the internationally active Osram and Telefunken Corporations during the golden years of broadcasting and electron tube research. The woman scientist Iris Runge,who received an interdis ciplinary education at the University of Gttingen, was long employed as the sole mathematical authority at these companies in Berlin. It will be shown how mathematical connections were made between statisticsand quality control, and between physical-chemi cal models and the actual problems of mass production. The organization of industrial laboratories, the relationship between theoretical and experimental work, and the role ofmathematicians in these settings will also be explained. By investigating the so cial, economic, and political conditions that unfolded from the time of the German Empire until the end of the Second World War, the book hopes to build abridge between specialized fields mathematics and engineering and the general culture of a particul ar era. It hopes, furthermore, to build a bridge between the history of science and industry, on the one hand, and the fields ofGender and Womens Studies on the other. Finally, by examining the life and work of numerous industrial researchers, insight wil l be offered into the conditions that enabled a woman to achieve a prominent professional position duringa time when women were typically excluded from the scientific workforce |
Note: | Springer eBooks |
Contents: | Foreword |
Authors Preface | |
1 Introduction | |
2 Formative Groups | |
3 Mathematics at The Osram and Telefunken Corporations | |
4 Interactions Between Science, Politics, And Society | |
5 Post | |
War Developments And Concluding Remarks | |
Appendix | |
Bibliography | |
Index of Names | |
ISBN: | 9783034802512 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Science Networks. Historical Studies : v43 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Science History |
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Call number: | SPRINGER-2012-9781461424079:ONLINE Show nearby items on shelf |
Title: | Henri Poincar [electronic resource] : Impatient Genius |
Author(s): |
Ferdinand Verhulst |
Date: | 2012 |
Publisher: | Boston, MA : Springer US : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book describes the life and work of Henri Poincar, detailing most of his unique achievements in mathematics and physics. It is divided into two partsthe first on Poincars life, and the second on his contributionsto the mathematical sciences. Apa rt from biographical details, attention is given to Poincars results on automorphic functions differential equations and dynamical systems celestial mechanics mathematical physics, in particularthe theory of the electron and relativity and topology (analy sis situs). A chapter on philosophy explains Poincars conventionalism in mathematics and his view of conventionalism in physics. The book shows how Poincar reachedhis fundamentally new results in many different fields, how he thought about problems, and h ow one should read his work. Simultaneously, it is made clear how analysis and geometry are intertwined in Poincars thinking and work. Indynamical systems, this becomes clear in his description of invariant manifolds, his association of differential equat ion flow with mappings, and his fixed-point theory. There is no comparable book on Poincar presenting such arelatively complete vision of his life and the working of his very original mind. Scientists and engineers as well as general readers interested in the history of science will find this book of interest. Reviews of this book:Thetitle of this biography is particularly well chosen : Henri Poincar was a true genius, and he was impatient. It gives a fair picture of both the man and the scientist, comple ted by particularly well chosen illustrations. Jean Mawhin,Universit Catholique de Louvain, Belgium Ferdinand Verhulst has written a true scientific biography, introducing Poincar the man, his cultural milieu, and his mathematics. This book shows why, a c entury after his death,Poincar's ideas still shape a substantial part of the mathematical sciences. Philip J Holmes, Princeton University, USA |
Note: | Springer eBooks |
Contents: | The early years |
Academic education, 1873 | |
1879 | |
Impressive results in Vesoul and Caen | |
Career in Paris | |
The prize competition of Oscar II | |
Philosophy and essays | |
At the end, what kind of a man? | |
Automorphic functions | |
Differential equations and dynamical systems | |
Analysis Situs | |
Mathematical Physics | |
Poincar | |
Historical data and biographical details | |
References | |
Index | |
ISBN: | 9781461424079 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Engineering |
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Call number: | SPRINGER-2012-9780817682958:ONLINE Show nearby items on shelf |
Title: | The Mathematical Experience, Study Edition [electronic resource] |
Author(s): |
Philip J Davis Reuben Hersh Elena Anne Marchisotto |
Date: | 2012 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Winner of the 1983National Book Award, The Mathematical Experience presented a highlyinsightful overview of mathematics that effectively conveyed its power and beauty to a largeaudience of mathematicians andnon-mathematicians alike. The study edition of the work followed about a decade later, supplementing the original material of the book with exercises to provide a self-contained treatment usable for the classroom. This softcoverversion reproduces the study edition andincludes epilogues by the thre e original authors to reflect on the book's content 15 years after its publication, and to demonstrate its continued applicability to the classroom.Moreover,The Companion Guide to the Mathematical Experienceoriginally published and sold separatelyis freel y available online to instructors who use the work, further enhancingits pedagogicalvalue and making itanexceptionally usefuland accessible resource for a wide range oflower-level courses inmathematics and mathematics education. A wealth of customizable o nline course materials for the bookcan be obtainedfrom Elena AnneMarchisotto (elena.marchisotto@csun.edu) upon request. Reviews [The authors] have tried to provide a book usable in a course for liberal arts students and for future secondary teachers. They have done much more! This course shouldbe required of every undergraduate major employing the mathematical sciences. It differs from the mathematics appreciation coursescourses that are merely a collection of amusing puzzles and toy problems giving an il lusion ofa mathematical encounterpresently found in many institutions. Students of this course are introduced to the context in which mathematics exists and the incredible magnitude of words devoted to communicating mathematics (hundredsof thousands of th eorems each year). How much mathematics can there be? they are asked. Instructors in a Mathematical Experience course must be prepared t |
Note: | Springer eBooks |
Contents: | Preface |
Preface to the Study Edition | |
Acknowledgements | |
Introduction | |
Overture | |
1. The Mathematical Landscape | |
2. Varieties of Mathematical Experience | |
3. Outer Issues | |
4. Inner Issues | |
5. Selected Topics in Mathematics | |
6. Teaching and Learning | |
7. From Certainty to Fallibility | |
8. Mathematical Reality | |
Glossary | |
Bibliography | |
Index | |
Epilogue | |
ISBN: | 9780817682958 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modern Birkhuser Classics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Education Philosophy , Science Philosophy , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2011-9783642177354:ONLINE Show nearby items on shelf |
Title: | Early Algebraization [electronic resource] : A Global Dialogue from Multiple Perspectives |
Author(s): |
Jinfa Cai Eric Knuth |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In recent years there has been increased interest in the development of students algebraic thinking in the elementary and middle school grades. This important and timely new volume contains the most comprehensive collection ofresearch focused on earl y algebraization. The volumes authorsleading international mathematics education scholarspresent perspectives on early algebraization that promote a global dialogue on the topic. Research is presentedfrom many parts of the world, including Asia, Australas ia, Western and Eastern Europe, and North America. The volume authors consider issues concerning early algebraization from three fundamental perspectivescurricular, cognitive,and instructional. The chapters in this volume not only represent the state of t he art about research on early algebraization, but also provide suggestions for future research. This volume on early algebraization reveals the richdiversity that characterizes the rapidly evolving field of early algebra . this volume offers to researche rs, teachers, curriculum developers, professional development educators, and policy makers alike some of the most recentthinking in the field. (Carolyn Kieran) |
Note: | Springer eBooks |
Contents: | Series Foreword. SECTION 1: Introduction. SECTION 2 |
Curricular Perspective | |
SECTION 3. Cognitive Perspective | |
SECTION 4. Instructional Perspective | |
SECTION 5. Perspectives for Research and Teaching | |
ISBN: | 9783642177354 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Advances in Mathematics Education, 1869-4918 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Education , Curriculum planning , Mathematics |
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Call number: | SPRINGER-2011-9783642010392:ONLINE Show nearby items on shelf |
Title: | Learning Spaces [electronic resource] : Interdisciplinary Applied Mathematics |
Author(s): |
Jean-Claude Falmagne Jean-Paul Doignon |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Learning spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning in Knowledge Spaces), a software for the assessmentof mathematical know ledge. From a mathematical standpoint, learning spaces as well as knowledge spaces (which made the title of the first edition) generalize partially ordered sets. They are investigated both from a combinatorial and astochastic viewpoint. The results are ap plied to real and simulated data. The book gives a systematic presentation of research and extends the results to new situations. It is of interest to mathematically oriented readers ineducation, computer science and combinatorics at research and graduate levels. The text contains numerous examples and exercises, and an extensive bibliography |
Note: | Springer eBooks |
Contents: | Overview and Mathematical Glossary |
Knowledge Structures and Learning Spaces | |
Knowledge Spaces | |
Well | |
Graded Families | |
Surmise Systems | |
Skill Maps, Labels and Filters | |
Entailments and the Maximal Mesh | |
Galois Connections | |
Descriptive and Assessment Languages | |
Greedoids, Learning Spaces, and Antimatroids | |
Learning Spaces and Media | |
Probabilistic Knowledge Structures | |
Stochastic Learning Paths | |
A Continuous Markov Procedure | |
A Markov Chain Procedure | |
Building a Knowledge Structure | |
Building a Learning Space | |
Applications | |
Open Problems | |
ISBN: | 9783642010392 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Multimedia systems , Artificial intelligence , Education |
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Call number: | SPRINGER-2011-9781441906670:ONLINE Show nearby items on shelf |
Title: | Reflections on Quanta, Symmetries, and Supersymmetries [electronic resource] |
Author(s): |
V.S Varadarajan |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Unitary representation theory has great intrinsic beauty which enters other parts of mathematics at a very deep level. In quantum physics it is the preferred language for describing symmetries and supersymmetries. Two of thegreatest figures in its hi story are Mackey and Harish-Chandra. Their work (to use the words of Weyl) affords shade to large parts of present day mathematics and high energy physics. It is to their memory that this volume is lovinglydedicated. Mackey and Harish-Chandra. Their work (to use the words of Weyl) affords shade to large parts of present day mathematics and high energy physics. It is to their memory that this volume is lovingly dedicated. The essays inthis volume are like a stroll through a garden of ideas of this rich sub ject: quantum algebras, super geometry, unitary supersymmetries, differential equations, non-archimedean physics, are a few of the topics encountered along theway. The author, whose mathematical education evolved out of his interactions with Mackey and Ha rish-Chandra, concludes this volume with brief portraits of their work, embedded in the context of personal reminiscences |
Note: | Springer eBooks |
Contents: | Prologue |
Quantum foundations | |
Quantum measurement | |
Probability in the quantum world | |
Spacetime in the ultra | |
small scale | |
The superworld | |
Symmetries and particles in the p | |
adic world | |
Representation theory: Conversations with Harish | |
Chandra | |
ISBN: | 9781441906670 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Topological Groups , Differential Equations , Distribution (Probability theory) , Quantum theory |
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Call number: | SPRINGER-2011-9780387721774:ONLINE Show nearby items on shelf |
Title: | The Real Numbers and Real Analysis [electronic resource] |
Author(s): |
Ethan D Bloch |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. The choice of material and the flexible organization,including three differe nt entryways into the study of the real numbers, making it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understandthe theory behind calculus. The Real Numbers a nd Real Analysis is accessible to students who have prior experience with mathematical proofs and who have not previously studied real analysis. The text includes over 350 exercises. Key features of this textbook: - provides an unusually thorough treatme nt of the real numbers, emphasizing their importance as the basis of real analysis - presents material in an order resembling that of standard calculuscourses, for the sake of student familiarity, and for helping future teachers use real analysis to bett er understand calculus - emphasizes the direct role of the Least Upper Bound Property in the study of limits, derivatives andintegrals, rather than relying upon sequences for proofs presents the equivalence of various important theorems of real analysis with the Least Upper Bound Property - includes a thorough discussion of some topics, such as decimalexpansion of real numbers, transcendental functions, area and the number p, that relate to calculus but that are not always treated in detail in real anal ysis texts - offers substantial historical material in each chapter Thisbook will serve as an excellent one-semester text for undergraduates majoring in mathematics, and for students in mathematics education who want a thorough understanding of the theo ry behind the real number system and calculus |
Note: | Springer eBooks |
Contents: | Preface |
To the Student | |
To the Instructor | |
1. Construction of the Real Numbers | |
2. Properties of the Real Numbers | |
3. Limits and Continuity | |
4. Differentiation | |
5. Integration | |
6. Limits to Infinity | |
7. Transcental Functions | |
8.Sequences | |
9. Series | |
10. Sequences and Series of Functions | |
Bibliography | |
Index | |
ISBN: | 9780387721774 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Sequences (Mathematics) |
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Call number: | SPRINGER-2010-9783642107917:ONLINE Show nearby items on shelf |
Title: | Non-Life Insurance Pricing with Generalized Linear Models [electronic resource] |
Author(s): |
Esbjrn Ohlsson Bjrn Johansson |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Setting the price of a non-life insurance policy involves the statistical analysis of insurance data, taking into consideration various properties of the insured object and the policy holder. Introduced by British actuaries,generalized linear models (GLMs) have by now become a standard approach used for pricing in many countries. The book focuses on methods based on GLMs that have been found useful in actuarial practice. Basic theory of GLMs in aninsurance setting is presented, with useful extensions that are not in common use. The book can be used in actuarial education designed to meet the European Core Syllabus and is written for actuarial students as well as practicingactuaries. To support the readers, it contains case studies using real data of some complexity that are available on the www |
Note: | Springer eBooks |
Contents: | Non |
life Insurance Pricing | |
The Basics of Pricing with GLMs | |
GLM Model Building | |
Multi | |
Level Factors and Credibility Theory | |
Generalized Additive Models | |
Appendix A: Some Results from Probability and Statistics | |
Appendix B: Some Results on Splines | |
Appendix C: Some SAS Syntax | |
ISBN: | 9783642107917 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | EAA Lecture Notes, 1869-6929 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Finance , Economics Statistics |
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Call number: | SPRINGER-2010-9783642011566:ONLINE Show nearby items on shelf |
Title: | Simula Research Laboratory [electronic resource] : by Thinking Constantly about it |
Author(s): |
Aslak Tveito Are Magnus Bruaset Olav Lysne |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Simula Research Laboratory, located just outside Oslo in Norway, is rightly famed as a highly successful research facility, despite being, at only eight years old, a very young institution. This fascinating book tells thehistory of Simula, detail ing the culture and values that have been the guiding principles of the laboratory throughout its existence. Dedicated to tackling scientific challenges of genuine social importance, the laboratory undertakesimportant research with long-term implications in networks, computing and software engineering, which includes offering a Centre of Excellence in biomedical computing. The text covers every angle: the laboratory's background andpolitical context, the work it has completed, its approach to the educatio n and development of its researchers, and the organisation's efforts to promote the application of its research results. The key research projects and resultsare covered in separate chapters, each of which is preceded by a thumbnail description of the pro ject and how the research is useful for society. As well as explanatory text, the other chapters feature interviews with major players inthe facility's history, both inside Simula, among its collaborators, and in Norwegian society at large |
Note: | Springer eBooks |
Contents: | Preface: Begin Simula. The Scene: The initial stage |
Forming a lab | |
About Simula the language, and about research | |
Basic Research: Networks and distributed systems | |
Scientific computing | |
Software engineering | |
Research Education | |
Research Applications | |
Interviews: Interviews with policymakers | |
Interviews with scientists | |
ISBN: | 9783642011566 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer network architectures , Software engineering , Physiology Mathematics , Computer science Mathematics |
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Call number: | SPRINGER-2010-9780387854618:ONLINE Show nearby items on shelf |
Title: | Elements of Adaptive Testing [electronic resource] |
Author(s): |
Wim J van der Linden Cees A.W Glas |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The arrival of the computer in educational and psychological testing has led to the current popularity of adaptive testing---a testing format in which the computer uses statistical information about the test items toautomatically adapt their selectio n to a real-time update of the test takers ability estimate. This book covers such key features of adaptive testing as item selection and ability estimation, adaptive testing with multidimensionalabilities, sequencing adaptive test batteries, multistage a daptive testing, item-pool design and maintenance, estimation of item and item-family parameters, item and person fit, as well as adaptive mastery and classification testing.It also shows how these features are used in the daily operations of several larg e-scale adaptive testing programs. Wim J. van der Linden is Chief Research Scientist at CTB/McGraw-Hill, Monterey, CA. His specialization is psychometrictheory and methods, and he has been an active researcher of adaptive testing throughout his career. Fo r Springer, he wrote Linear Models for Optimal Test Design (2005) and co-edited Handbook of Modern Item ResponseTheory (1997). He isa past president of the Psychometric Society and recipient of lifetime achievement awards from the National Council for Mea surement in Education (NCME) and the Association of Test Publishers (ATP). Cees A. W. Glas is Professor ofSocial Science Research Methodology, University of Twente, the Netherlands. His specialization is psychometric theory and methods, with an emphasis o n item response theory, adaptive testing, model fit analysis, and missing data.Professor Glas is a co-author of Educational Evaluation, Assessment, and Monitoring (Swets & Zetlinger, 2003). Currently, he is a member of the Editorial Board of Psychometrika and serves as a technical consultant to the OECD programsfor international student assessment (PISA) and the assessment of adult competencies (PIAAC) |
Note: | Springer eBooks |
Contents: | Item selection and ability estimation in adaptive testing |
Constrained adaptive testing with shadow tests | |
Principles of multidimensional adaptive testing | |
Multidimensional adaptive testing with Kullback | |
Liebler information item selection | |
Sequencing an adaptive test battery | |
Adaptive tests for measuring anxiety and depression | |
MATHCAT: A flexible testing system in mathematics education for adults | |
Implementing the Graduate Management admission test computerized adaptive test | |
Designing and implementing a multistage adaptive test: The uniform CPA exam | |
A Japanese adaptive tes | |
ISBN: | 9780387854618 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Statistics for Social and Behavioral Sciences |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Educational tests and measurements , Psychometrics |
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Call number: | SPRINGER-2009-9783764379902:ONLINE Show nearby items on shelf |
Title: | Collected Works of Charles Franois Sturm [electronic resource] |
Author(s): |
Jean-Claude Pont |
Date: | 2009 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Charles Franois Sturm was born in Geneva, Switzerland, on September 29, 1803. He obtained his scientific education in this city and began his rich scientific career there through significant research in sound propagation andcompressibility of fluids. In September of 2003, on the occasion of the 200th anniversary of his birth, his home city honoured his worldwide recognition with a colloquium and workshop under the sponsorship of the University of Geneva.This volume is based on lectures presented at t hat colloquium, which focused on C.F. Sturm's own work. The book contains a selection of reproductions of his scientific publications. Sturm contributed notably to geometry (theory ofpolygons, elementary geometry, projective geometry, conic sections), alg ebra, analysis (differential equations, series), optics (caustics, physiological optics), mechanics, and other areas of physics (particularly fluid mechanics andspeed of sound in water). These original papers are accompanied by contributions from internat ionally renowned experts who have worked on and deepened understanding of many topics of interest to Sturm, in particular differentialequations, optics and algebraic curves. The volume complements the book Sturm-Liouville Theory. Past and Present (ISBN 97 8-3-7643-7066-4) that also originates from that colloquium |
Note: | Springer eBooks |
Contents: | Charles Franois Sturm: notice biographique |
Charles Franois Sturm: notice biographique | |
Luvre algbrique de Charles Franois Sturm | |
Luvre algbrique de Charles Franois Sturm | |
Charles Franois Sturm and Differential Equations | |
Charles Franois Sturm and Differential Equations | |
Charles Franois Sturms Writings on Optics | |
Charles Franois Sturms Writings on Optics | |
Mcanique | |
Mcanique | |
Compressibilite des liquides et vitesse un son | |
Compressibilite des liquides et vitesse un son | |
Collected Works of Charles Franois Sturm | |
Solution du prob | |
ISBN: | 9783764379902 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematics_$xHistory |
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Call number: | SPRINGER-2009-9783540763796:ONLINE Show nearby items on shelf |
Title: | Handbook of Practical Astronomy [electronic resource] |
Author(s): |
Gnter D Roth |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | With amateurs, students, and teachers of astronomy in high schools and colleges particularly in mind, the Handbook of Practical Astronomy is an essential source to demonstrate trends and variety of astronomical observations. Thebook presents the subs tance of celestial bodies for the amateur observer: the planets, the stars, and the galaxies. The sun is the local link to the other stars, the nexus of cosmic evolution. The solar system is made up by the sun andall the celestial bodies orbit it. This sy stem is of special interest for the observing amateur. The Handbook of Practial Astronomy spans astronomy, education and computing. Like many other fields of science, astronomy has becomedigitized and data rich in recent years. Besides the references at t he end of each chapter, there are the notes in the margins with astronomical news and observing highlights on the web |
Note: | Springer eBooks |
Contents: | Why Astronomy (G.D. Roth) |
Fundamentals of Spherical Astronomy (M. Gottwald/F. Schmeidler) | |
Applied Mathematics and the Computer (M. Gottwald/F. Schmeidler) | |
Optics and Telescopes (B. Weisheit/H. Nicklas) | |
Mountings and Drives (B. Weisheit/H.G. Ziegler)) | |
Astrophotography (K | |
P. Schrder/H. Lthen) | |
Fundamentals of Spectral Analysis (G. Rupprecht/R.Hfner) | |
Principles of Photometry (H.W. Duerbeck) | |
Fundamentals of Radio Astronomy (M.J. Neumann/P. Wright) | |
Modern Sundials (F. Schmeidler) | |
Historical Exploration of Modern Astronomy (G.D. Roth) | |
The Social Astronomer (V | |
ISBN: | 9783540763796 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy |
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Call number: | SPRINGER-2009-9783034601559:ONLINE Show nearby items on shelf |
Title: | Hermann Gramann Roots and Traces [electronic resource] : Autographs and Unknown Documents |
Author(s): |
Hans-Joachim Petsche Gottfried Keler Lloyd Kannenberg Jolanta Liskowacka |
Date: | 2009 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Hermann Gnther Gramann was one of the 19th centurys most remarkable scientists, but many aspects of his life have remained in the dark. This book assembles essential, first-hand information on the Gramann family. Itsheds light on the familys struggle for scientific knowledge, progress and education. It puts a face on the protagonists of an exciting development in the history of science. And it highlights the peculiar set of influences whichled Hermann Gramann to brilliant insights in mathematics, phi lology and physics. This book of sources is meant to complement the biography of Gramann and the proceedings of the 2009 Gramann Bicentennial Conference (Birkhuser2010). Roots and Traces will interest all scholars working on Hermann Gramann and related to pics. It offers newly discovered pictures of family members, historical texts documenting life in this exceptional family and an Englishtranslation of these previously unpublished papers. Text in German and English |
Note: | Springer eBooks |
Contents: | Friedrich Heinrich Gotthilf Gramann, the uncle and foster |
father of Robert Gramann | |
Robert Gramann, the brother | |
Hermann Gnther Gramann | |
Hermann Gramann the Younger, the son | |
Three remarkable students of Hermann Gramann | |
ISBN: | 9783034601559 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematics_$xHistory |
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Call number: | SPRINGER-2009-9781848825390:ONLINE Show nearby items on shelf |
Title: | Dude, Can You Count? [electronic resource] : Stories, Challenges, and Adventures in Mathematics |
Author(s): |
Christian Constanda |
Date: | 2009 |
Publisher: | London : Springer London |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Imagine algebra class meets The Hitchhikers Guide to the Galaxy Meet JJ, an unusual character with a unique vantage position from which he can measure and monitor humanitys progress. Armed with a device that compels allaround it to tell the truth, JJ offers a satirical evaluation of our attitudes to numeracy and logic, touching upon several aspects of life on Earth along the way, from the criminal justice system and peoples use of language tohighway driving and modern art. A collection of mathematica lly-flavored stories and jokes, interlaced with puzzles, paradoxes and problems, fuse together in an entertaining, free-flowing narrative that will engage and amuse anyone withan interest in the issues confronting society today. JJ demonstrates how a lack of elementary mathematical knowledge can taint our work and general thinking and reflects upon the importance of what is arguably our most valuable weaponagainst ignorance: a sound mathematical education. What is JJs prognosis for our future? Theres only one way to find out... Numbers, logic, human behavior and aliens: this unique book blends them all into a captivatingnarrative of serious talk and satire, where wit and scholarly details are counterpointed by instructive puzzles and mathematical fun. A m ust read for anybody who appreciates humor and culture. Stanislav Potapenko, Department ofCivil and Environmental Engineering, University of Waterloo, Canada ... a real delight. Constanda has managed to intertwine stories, puzzles, logic and some very ric h mathematics concepts into a very readable, enjoyable novel... Ibelieve this book should be in the personal library of every high school mathematics teacher. Tom Becvar, St Louis University High School, USA a highly readable, unique and fascinating combi nation of humor, mathematics andsocial commentary that is factual, educational and, more importantly, understandable. Given what is taking place in todays society, J.J |
Note: | Springer eBooks |
Contents: | JJ and the MICQ |
The Mathematical Commandments | |
The Public School System | |
The School Mathematical Education | |
Language, Grammar, and Punctuation | |
Foreign Languages | |
Foreign Countries and Foreigners | |
Mathematics and the Public | |
The Question of Calculus | |
Political Correctness | |
TV Advertising | |
Highway Driving | |
Units of Measurement | |
Percentages and Living on Debt | |
Modern Art | |
Averages and Buying Cars | |
The Public Media | |
The Criminal Legal System | |
Civil Litigation | |
Statistics and Probability | |
Academic Politics | |
Antisocial Behavior | |
Mathematicians Versus Eng | |
ISBN: | 9781848825390 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Geometry , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2009-9780387922980:ONLINE Show nearby items on shelf |
Title: | Bayesian Computation with R [electronic resource] |
Author(s): |
Jim Albert |
Date: | 2009 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | There has been a dramatic growth in the development and application of Bayesian inferential methods. Some of this growth is due to the availability of powerful simulation-based algorithms to summarize posterior distributions.There has been also a gro wing interest in the use of the system R for statistical analyses. R's open source nature, free availability, and large number of contributor packages have made R the software of choice for many statisticiansin education and industry. Bayesian Computation with R introduces Bayesian modeling by the use of computation using the R language. The early chapters present the basic tenets of Bayesian thinking by use of familiar one andtwo-parameter inferential problems. Bayesian computational methods such as Lapl ace's method, rejection sampling, and the SIR algorithm are illustrated in the context of a random effects model. The construction and implementation ofMarkov Chain Monte Carlo (MCMC) methods is introduced. These simulation-based algorithms are implemente d for a variety of Bayesian applications such as normal and binary response regression, hierarchical modeling, order-restrictedinference, and robust modeling. Algorithms written in R are used to develop Bayesian tests and assess Bayesian models by use of the posterior predictive distribution. The use of R to interface with WinBUGS, a popular MCMC computinglanguage, is described with several illustrative examples. This book is a suitable companion book for an introductory course on Bayesian methods and is valuable to the statistical practitioner who wishes to learn more about the Rlanguage and Bayesian methodology. The LearnBayes package, written by the author and available from the CRAN website, contains all of the R functions described in the book. The s econd edition contains several new topics such as the useof mixtures of conjugate priors and the use of Zellners g priors to choose between models in linear regression. There are more illustrations o |
Note: | Springer eBooks |
Contents: | An introduction to R |
Introduction to Bayesian thinking | |
Single | |
parameter models | |
Multiparameter models | |
Introduction to Bayesian computation | |
Markov chain Monte Carlo methods | |
Hierarchical modeling | |
Model comparison | |
Regression models | |
Gibbs sampling | |
Using R to interface with WinBUGS | |
ISBN: | 9780387922980 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer simulation , Computer science Mathematics , Visualization , Mathematical optimization , Mathematical statistics |
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Call number: | SPRINGER-2008-9788847005808:ONLINE Show nearby items on shelf |
Title: | Algoritmi [electronic resource] : Lo spirito dellinformatica |
Author(s): |
David Harel Yishai Feldman |
Date: | 2008 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Gli algoritmi sono il cuore dellinformatica e della matematica, poich senza di loro luso del computer non sarebbe possibile. In questo libro, che nella sua edizione inglese un bestseller da molto tempo, Harel eFeldmann rispondono a tutte le domande relative a questo tema. Parlano della valutazione, della correttezza e dellefficacia degli algoritmi, ma chiariscono anche qualche dubbio sulle tecniche di programmazione e si riferisconoinoltre allattualissima discussione sul calcolo quantistico. Il libr o utile sia come testo base per un corso universitario introduttivo allinformatica, sia come introduzione generale alle scienze naturali, alla matematica oallingegneria. Questo libro un autentico tour de force. Harel scrive con una verve, una chiarezza e unimmaginazione fuori dal comune. Attraverso luso di domande stuzzicanti ed esempi selezionati con cura e spessodivertenti, lautore trasmette al lettore lentusiasmo e la soddisfazione intellettuale della ricerca nel campo dellinformatica. Senza usare la matematica formale, ma senza per questo motivo sacrificare lintegritintellettuale, egli comunica al lettore generale i profondi principi su cui si fonda linformatica principi che, prima dora, risultavano accessibili solo attraverso libri di testo e artic oli scientifici molto complessi.Rappresenta il meglio della scrittura scientifica. Dr. Stan Scott, Queens University Belfast The Times Higher Education Supplement |
Note: | Springer eBooks |
ISBN: | 9788847005808 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Unitext, 2038-5714 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Information theory , Algorithms |
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Call number: | SPRINGER-2008-9783764388409:ONLINE Show nearby items on shelf |
Title: | Patterns of Change [electronic resource] : Linguistic Innovations in the Development of Classical Mathematics |
Author(s): |
Ladislav Kvasz |
Date: | 2008 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book offers a reconstruction of linguistic innovations in the history of mathematics innovations which changed the ways in which mathematics was done, understood and philosophically interpreted. It argues that there are atleast three ways in whi ch the language of mathematics has been changed throughout its history, thus determining the lines of development that mathematics has followed. One of these patterns of change, called a re-coding, generates twodevelopmental lines. The first of them conne cting arithmetic, algebra, differential and integral calculus and predicate calculus led to a gradual increase of the power of our calculating tools, turning difficult problems of the pastinto easy exercises. The second developmental line connecting synth etic geometry, analytic geometry, fractal geometry, and set theory led to a sophistication of the ways we construct geometrical objects, altering our perception of formand increasing our sensitivity to complex visual patterns. Another important pattern of change, called relativization, is illustrated by the development of synthetic geometry, connecting Euclids geometry, projective geometry,non-Euclidean geometry, and Kleins Erlanger Programm up to Hilberts Grundlagen der Geometrie. In this development the notions of space and geometric object underwent deep and radical changes culminating in the liberation ofobjects from the supremacy of space and so bringing to existence geometric objects which space would never tolerate. The book offers tools of analysi s by means of which scholars and students of the history and philosophy of mathematicscan attain better understanding of the various changes, which the subject of their study underwent in the course of history. The book brings also important insights for mathematics education connecting growth of language with thedevelopment of mathematical thought |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Re | |
codings as the first pattern of change in mathematics | |
Historical description of re | |
codings | |
Philosophical reflections on re | |
codings | |
Relativizations as the second pattern of change in mathematics | |
A Historical description of relativizations in synthetic geometry | |
Historical description of relativizations in algebra | |
Philosophical reflections on relativizations | |
Re | |
formulations as a third pattern of change in mathematics | |
Re | |
formulations and concept | |
formation | |
Re | |
formulations and problem | |
solving | |
Re | |
formulations and theory | |
building | |
Mathemati | |
ISBN: | 9783764388409 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Science Networks. Historical Studies : v36 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematics_$xHistory , Humanities |
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Call number: | SPRINGER-2008-9783540740780:ONLINE Show nearby items on shelf |
Title: | Random Curves [electronic resource] : Journeys of a Mathematician |
Author(s): |
Neal Koblitz |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | These autobiographical memoirs of Neal Koblitz, coinventor of one of the two most popular forms of encryption and digital signature, cover many topics besides his own personal career in mathematics and cryptography - travels tothe Soviet Union, Latin America, Vietnam and elsewhere, political activism, and academic controversies relating to math education, the C. P. Snow two-culture problem, and mistreatment of women in academia. The stories speak forthemselves and reflect the experiences of a student and later a scientist caught up in the tumultuous events of his generation |
Note: | Springer eBooks |
Contents: | Early Years |
Harvard | |
SDS | |
The Army | |
Spring of 1972 | |
Academics | |
The Soviet Union | |
Racism and Apartheid | |
Vietnam. Part I | |
Vietnam. Part II | |
Nicaragua and Cuba | |
El Salvador | |
Two Cultures | |
Cryptography | |
Education | |
Arizona | |
Index | |
ISBN: | 9783540740780 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Data structures (Computer science) , Data encryption (Computer science) , Mathematics_$xHistory , Number theory |
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Call number: | SPRINGER-2008-9783540738497:ONLINE Show nearby items on shelf |
Title: | Unifying Themes in Complex Systems IV [electronic resource] : Proceedings of the Fourth International Conference on Complex Systems |
Author(s): |
Ali A Minai Yaneer Bar-Yam |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In June of 2002, over 500 professors, students and researchers met in Boston, Massachusetts for the Fourth International Conference on Complex Systems. The attendees represented a remarkably diverse collection of fields: biology,ecology, physics, eng ineering, computer science, economics, psychology and sociology, The goal of the conference was to encourage cross-fertilization between the many disciplines represented and to deepen understanding of theproperties common to all complex systems. This volu me contains 43 papers selected from the more than 200 presented at the conference. Topics include: cellular automata, neurology, evolution, computer science, network dynamics, andurban planning. About NECSI: For over 10 years, The New England Complex Syst ems Institute (NECSI) has been instrumental in the development of complex systems science and its applications. NECSI conducts research, education, knowledgedissemination, and community development around the world for the promotion of the study of comple x systems and its application for the betterment of society. NECSI hosts the International Conference on Complex Systems and publishesthe NECSI Book Series in conjunction with Springer Publishers. ALI MINAI is an Affiliate of the New England Complex Syste ms Institute and an Associate Professor in the Department of Electrical and Computer Engineering and ComputerScience at the University of Cincinnati. YANEER BAR-YAM is President and founder of the New England Complex Systems Institute. He is the author of Dynamics of Complex Systems and Making Things Work: Solving Complex Problems in aComplex World |
Note: | Springer eBooks |
Contents: | Methods |
A Complex Systems Perspective on Collaborative Design | |
RAn (Robustness Analyser) | |
Invariant Subsets of the Search Space, and the Universality of a Generalized Genetic Algorithm | |
Models | |
Cell | |
like space charge configurations formed by self | |
organization in laboratory | |
Local Complexity and Global Nonlinear Modes in Large Arrays of Elastic Rods in an Air Cross | |
Flow | |
Self | |
organization in Navier | |
Stokes turbulence | |
The Game (Introduction to Digital Physics) | |
Epsilon | |
Pseudo | |
Orbits and Applications | |
On the mystery of differential negative resistance | |
Dissipative Str | |
ISBN: | 9783540738497 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Artificial intelligence , Mathematics , Engineering |
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Call number: | SPRINGER-2008-9783540719922:ONLINE Show nearby items on shelf |
Title: | Progress in Industrial Mathematics at ECMI 2006 [electronic resource] |
Author(s): |
Luis L Bonilla Miguel Moscoso Gloria Platero Jose M Vega |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | ECMI is synonymous with European Mathematics for Industry and organizes successful biannual conferences. The 14th European Conference for Mathematics in Industry held in Legans (Madrid) focused on Aerospace, Information andCommunications, Materials, Energy and Environment, Imaging, Biology and Biotechnology, Life Sciences, Finances and other topics including Education in Industrial Mathematics and web learning. Attendees came from all over the world.Overall, these proceedings give a lively overview o f the importance of mathematical modeling, analysis and numerical methods when addressing and solving problems from todays real world applications. The accessible presentation ofreal problems from industry and finance, modeling, solutions via appropriate numerical and mathematical techniques are a source of fresh ideas and inspiration for mathematicians. Engineers and scientists in application fields may finduseful ideas and techniques presented in familiar contexts that may help them to solve related pro blems in industry. Educators may find discussions of novel teaching experiences and examples from industrial contexts that could beuseful devising curricula which include industrial mathematics and web learning |
Note: | Springer eBooks |
Contents: | Plenary Lectures |
Minisymposia | |
Contributed Papers | |
ISBN: | 9783540719922 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics in Industry, The European Consortium for Mathematics in Industry, 1612-3956 : v12 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Computer science Mathematics , Computer science , Numerical analysis , Distribution (Probability theory) , Economics Statistics |
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Call number: | SPRINGER-2008-9780817647957:ONLINE Show nearby items on shelf |
Title: | Advances in Statistical Control, Algebraic Systems Theory, and Dynamic Systems Characteristics [electronic resource] : A Tribute to Michael K. Sain |
Author(s): |
Chang-Hee Won Cheryl B Schrader Anthony N Michel |
Date: | 2008 |
Publisher: | Boston, MA : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volumededicated to Michael K. Sain on the occasion of his seventieth birthdayis a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. Written by experts intheir respective fields, th e chapters are thematically organized into four parts: * Part I focuses on statistical control theory, where the cost function is viewed as a random variable and performance is shaped through cost cumulants.In this respect, statistical control generalizes linear-quadratic-Gaussian and H-infinity control. * Part II addresses algebraic systems theory, reviewing the use of algebraic systems over semirings, modules of zeros for linearmultivariable systems, and zeros in linear time-delay systems. * Part III di scusses advances in dynamical systems characteristics. The chapters focus on the stability of a discontinuous dynamical system, approximate decentralized fixedmodes, direct optimal adaptive control, and stability of nonlinear systems with limited informat ion. * Part IV covers engineering education and includes a unique chapter on theology and engineering, one of Sain's latest researchinterests. The book will be a useful reference for researchers and graduate students in systems and control, algebraic syst ems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory,the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory |
Note: | Springer eBooks |
Contents: | Preface |
Part I. Statistical Control | |
Survey of Statistical Control | |
Infinite Horizon Minimal Cost Variance Control | |
Discrete Time Statistical Control | |
Multi | |
objective Statistical Control | |
Cost Cumulant Games | |
Part II. Algebraic System Theory | |
Modules of Zeroes in Linear Multivariate Systems | |
Zeros in Linear Time | |
Delay Systems | |
Semimodule Morphic Systems | |
Part III. Dynamic System Characteristics | |
Discontinuous Dynamical Systems | |
Decentralized Control | |
Direct Optimal Adaptive Control | |
Nonlinear Dynamic Systems with Limited Information | |
Part IV. Engineering Applic | |
ISBN: | 9780817647957 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Systems & Control: Foundations & Applications |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Systems theory , Mathematical optimization |
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Call number: | SPRINGER-2008-9780387774152:ONLINE Show nearby items on shelf |
Title: | Chance Rules [electronic resource] : an informal guide to probability, risk and statistics |
Author(s): |
Brian Everitt |
Date: | 2008 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Chance continues to govern our lives in the 21st Century. From the genes we inherit and the environment into which we are born, to the lottery ticket we buy at the local store, much of life is a gamble. In business, education,travel, health, and marr iage, we take chances in the hope of obtaining something better. Chance colors our lives with uncertainty, and so it is important to examine it and try to understand about how it operates in a number ofdifferent circumstances. Such understanding becomes s impler if we take some time to learn a little about probability, since probability is the natural language of uncertainty. This second edition of Chance Rules again recounts thestory of chance through history and the various ways it impacts on our lives. Here you can read about the earliest gamblers who thought that the fall of the dice was controlled by the gods, as well as the modern geneticist and quantumtheory researcher trying to integrate aspects of probability into their chosen speciality. Example included in the first addition such as the infamous Monty Hall problem, tossing coins, coincidences, horse racing, birthdays and babiesremain, often with an expanded discussion, in this edition. Additional material in the second edition includes, a probab ilistic explanation of why things were better when you were younger, consideration of whether you can useprobability to prove the existence of God, how long you may have to wait to win the lottery, some court room dramas, predicting the future, and how ev olution scores over creationism. Chance Rules lets you learn about probabilitywithout complex mathematics. Brian Everitt is Professor Emeritus at King's College, London. He is the author of over 50 books on statistics |
Note: | Springer eBooks |
Contents: | A Brief History of Chance |
What Are the Chances? Assigning Probabilities | |
Choice and Chance Permutations and Combinations | |
Tossing Coins and Having Babies | |
Rolling Dice | |
Gambling for Fun: Lotteries and Football Pools | |
Serious Gambling: Roulette, Cards and Horse Racing | |
Balls, Birthdays and Coincidences | |
Conditional Probability and the Reverend Thomas Bayes | |
Puzzling Probabilities | |
Taking Risks | |
Statistics, Statisticians and Medicine | |
Alternative TherapiesPanaceas or Placebos? | |
What Does the Future Hold? | |
Chance, Chaos and Chromosomes | |
ISBN: | 9780387774152 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Distribution (Probability theory) |
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Call number: | SPRINGER-2008-9780387498355:ONLINE Show nearby items on shelf |
Title: | An Introduction to the Theory of Point Processes [electronic resource] Volume II: General Theory and Structure |
Author(s): |
D. J Daley D Vere-Jones |
Date: | 2008 |
Edition: | 2 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns and stereology, to name but a few areas. The authors have made a major reshaping of their workin their first editio n of 1988 and now present An Introduction to the Theory of Point Processes in two volumes with subtitles Volume I: Elementary Theory and Methods and Volume II: General Theory and Structure. Volume I contains theintroductory chapters from the first edition together with an account of basic models, second order theory, and an informal account of prediction, with the aim of making the material accessible to readers primarily interested in modelsand applications. It also has three appendices that review the m athematical background needed mainly in Volume II. Volume II sets out the basic theory of random measures and point processes in a unified setting and continues with themore theoretical topics of the first edition: limit theorems, ergodic theory, Palm the ory, and evolutionary behaviour via martingales and conditional intensity. The very substantial new material in this second volume includes expandeddiscussions of marked point processes, convergence to equilibrium, and the structure of spatial point proce sses. D.J. Daley is recently retired from the Centre for Mathematics and Applications at the Australian National University,with research publications in a diverse range of applied probability models and their analysis he is coauthor with Joe Gani of an i ntroductory text on epidemic modelling. The Statistical Society of Australia awarded him their PitmanMedal for 2006. D. Vere-Jones is an Emeritus Professor at Victoria University of Wellington, widely known for his contributions to Markov chains, point pr ocesses, applications in seismology, and statistical education. He is a fellowand Gold Medallist of the Royal Society of New Zealand, and a director of the consulting group Statistical Research Associa |
Note: | Springer eBooks |
Contents: | Basic theory of random measures and point processes |
Special classes of processes | |
Convergence concepts and limit theorems | |
Stationary point processes and random measures | |
Palm theory | |
Evolutionary processes and predictability | |
Spatial point processes | |
ISBN: | 9780387498355 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Probability and Its Applications, A Series of the Applied Probability Trust, 1431-7028 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2007-9783540465331:ONLINE Show nearby items on shelf |
Title: | Computational Turbulent Incompressible Flow [electronic resource] : Applied Mathematics: Body and Soul 4 |
Author(s): |
Johan Hoffman Claes Johnson |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is Volume 4 of the book series of the Body & Soul mathematics education reform program, and presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linearalgebra of Vol 1-3. T he book puts the Body & Soul computational finite element methodology in the form of General Galerkin (G2), up against the challenge of computing turbulent solutions of the inviscid Euler equations and theNavier-Stokes equations with small viscosity. The book shows that direct application of G2 without any turbulence or wall modeling, allows reliable computation on a PC of mean value quantities of turbulent flow such as drag and lift.The power of G2 is demonstrated by resolving several classical scientifi c paradoxes of fluid flow and by uncovering secrets of flying, sailing, racing and ball sports. The book presents new aspects on both mathematics and computationof turbulent flow, and challenges established approaches. The book is directed to a wide audie nce of computational mathematicians fluid dynamicists and scientists. The G2 solver is available as part the free software project FEniCS atwww.fenics.org. The book has a dedicated dynamic web page, including movies from a wide variety of simulations, at www.bodysoulmath.org. The book is focussed on incompressible flow, but opens to compressible flow continued in Vol 5 onthermodynamics. The authors are experts on computational mathematics and technology |
Note: | Springer eBooks |
Contents: | I Overview: Main Objective |
Mysteries and Secrets | |
Turbulent Flow and History of Aviation | |
The Euler Equations | |
The Incompressible Euler and Navier | |
Stokes Equations | |
Triumph and Failure of Mathematics | |
Laminar and Turbulent Flow | |
Computational Turbulence | |
A First Study of Stability | |
d'Alembert's Mystery and Bernoulli's Law | |
Prandtl's Resolution of d'Alemberts's Mystery | |
New Resolution of d'Almenbert's Mystery | |
II Mathematics of Turbulence: Turbulence and Chaos | |
A $1 Million Prize Problem | |
Work Uniqueness by Computation | |
Existence of e | |
Weak Solutions by G2 | |
Stabi | |
ISBN: | 9783540465331 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Chemistry Mathematics , Computer science Mathematics , Computer science , Mathematical physics , Engineering mathematics |
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Call number: | SPRINGER-2007-9783211499054:ONLINE Show nearby items on shelf |
Title: | The Strength of Nonstandard Analysis [electronic resource] |
Author(s): |
Imme Berg Vtor Neves |
Date: | 2007 |
Publisher: | Vienna : Springer Vienna |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Nonstandard Analysis enhances mathematical reasoning by introducing new ways of expression and deduction. Distinguishing between standard and nonstandard mathematical objects, its inventor, the eminent mathematician AbrahamRobinson, settled in 1961 t he centuries-old problem of how to use infinitesimals correctly in analysis. Having also worked as an engineer, he saw not only that his method greatly simplified mathematically proving and teaching, but alsoserved as a powerful tool in modelling, analyzi ng and solving problems in the applied sciences, among others by effective rescaling and by infinitesimal discretizations. This book reflects the progress made in the forty years since theappearance of Robinsons revolutionary book Nonstandard Analysis: in the foundations of mathematics and logic, number theory, statistics and probability, in ordinary, partial and stochastic differential equations and in education.The contributions are clear and essentially self-contained |
Note: | Springer eBooks |
Contents: | Foundations: The strength of nonstandard analysis (J. Keisler) The virtue of simplicity (E. Nelson) Analysis of various practices of referring in classical or non standard mathematics (Y. Praire) Stratified analysis?(K. Hrbacek) ERNA at work ( C. Impens/S. Sanders) The Sousa Pinto approach to nonstandard generalised functions (R. F. Hoskins) Neutrices in more dimensions (I. van den Berg) |
Number theory: Nonstandard methods for additive and combinatorial number theory. A survey (R. Jin) Nonstandard methods and the Erds | |
Turn conjecture (S. C. Leth) | |
Statistics, probability and m | |
ISBN: | 9783211499054 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Differential equations, partial , Mathematics_$xHistory , Logic, Symbolic and mathematical , Number theory , Distribution (Probability theory) |
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Call number: | SPRINGER-2007-9781402054686:ONLINE Show nearby items on shelf |
Title: | Systems Biology [electronic resource] : International Research and Development |
Author(s): |
MARVIN CASSMAN ADAM ARKIN FRANK DOYLE FUMIAKI KATAGIRI DOUGLAS LAUFFENBURGER CYNTHIA STOKES |
Date: | 2007 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Systems biology is defined for the purpose of this study as the understanding of biological network behaviors, and in particular their dynamic aspects, which requires the utilization of mathematical modeling tightly linked toexperiment. This involves a variety of approaches, such as the identification and validation of networks, the creation of appropriate datasets, the development of tools for data acquisition and software development, and the use ofmodeling and simulation software in close linkage with experiment. All of these are discussed in this volume. Of course, the definition becomes ambiguous at the margins, but at the core is the focus on networks, which makes it clearthat the goal is to understand the operation of the systems, rather than the component parts. It was concluded that the U.S. is currently ahead of the rest of the world in systems biology, largely because of earlier investment byfunding organizations and research institutions. This is reflected in a large number of active rese arch groups, and educational programs, and a diverse and growing funding base. However, there is evidence of rapid development outsidethe U.S., much of it begun in the last two to three years. Overall, however, the picture is of an active field in the ear ly stages of explosive growth. This volume is aimed at academic researchers, government research agencyrepresentatives and graduate students |
Note: | Springer eBooks |
Contents: | Executive Summary and Introduction (Marvin Cassman) |
Data and Databases (Fumiaki Katagiri and Adam Arkin) | |
Network Inference (Frank Doyle and Douglas Lauffenburger) | |
Modeling and Network Organization (Cynthia Stokes and Adam Arkin) | |
Systems Biology in Plant Research (Fumiaki Katagiri) | |
Education, National Programs, and Infrastructure in Systems Biology (Marvin Cassman, Douglas Lauffenburger, and Frank Doyle) | |
ISBN: | 9781402054686 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Bioinformatics , Developmental biology , Biology Mathematics |
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Call number: | SPRINGER-2007-9780387747156:ONLINE Show nearby items on shelf |
Title: | Complex Analysis [electronic resource] : In the Spirit of Lipman Bers |
Author(s): |
Jane P Gilman Irwin Kra Rub E Rodrguez |
Date: | 2007 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This book is intended for a graduate course on complex analysis, also known as function theory. The main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study ofmany current and rapi dly developing areas of mathematics including the theory of several and infinitely many complex variables, the theory of groups, hyperbolic geometry and three-manifolds, and number theory. Complex analysis hasconnections and applications to many other sub jects in mathematics and to other sciences. It is an area where the classic and the modern techniques meet and benefit from each other. This material should be part of the education ofevery practicing mathematician, and it will also be of interest to comp uter scientists, physicists, and engineers. The first part of the book is a study of the many equivalent ways of understanding the concept of analyticity. The manyways of formulating the concept of an analytic function are summarized in what is termed the Fundamental Theorem for functions of a complex variable. The organization of these conditions into a single unifying theorem with an emphasison clarity and elegance is a hallmark of Lipman Bers's mathematical style. Here it provides a conceptual framewor k for results that are highly technical and often computational. The framework comes from an insight that, oncearticulated, will drive the subsequent mathematics and lead to new results. In the second part, the text proceeds to a leisurely exploration of interesting ramifications of the main concepts. The book covers most, if not all, of thematerial contained in Berss courses on first year complex analysis. In addition, topics of current interest such as zeros of holomorphic functions and the connection b etween hyperbolic geometry and complex analysis are explored |
Note: | Springer eBooks |
Contents: | Preface |
Standard Notation and Commonly used Symbols | |
The Fundamental Theorem in Complex Function Theory | |
Foundations | |
Power Series | |
The Cauchy Theory | |
A Fundamental Theorem | |
The Cauchy Theory | |
Key Consequences | |
Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions | |
Sequences and Series of Holomorphic Functions | |
Conformal Equivalence | |
Harmonic Functions | |
Zeros of Holomorphic Functions | |
Bibliographical Notes | |
Bibliography | |
Index | |
ISBN: | 9780387747156 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Mathematics, 0072-5285 : v245 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions of complex variables , Differential equations, partial |
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Call number: | SPRINGER-2007-9780387713854:ONLINE Show nearby items on shelf |
Title: | Bayesian Computation with R [electronic resource] |
Author(s): |
Jim Albert |
Date: | 2007 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | There has been a dramatic growth in the development and application of Bayesian inferential methods. Some of this growth is due to the availability of powerful simulation-based algorithms to summarize posterior distributions.There has been also a gro wing interest in the use of the system R for statistical analyses. R's open source nature, free availability, and large number of contributor packages have made R the software of choice for many statisticiansin education and industry. Bayesian Computation with R introduces Bayesian modeling by the use of computation using the R language. The early chapters present the basic tenets of Bayesian thinking by use of familiar one andtwo-parameter inferential problems. Bayesian computational methods such as Lapl ace's method, rejection sampling, and the SIR algorithm are illustrated in the context of a random effects model. The construction and implementation ofMarkov Chain Monte Carlo (MCMC) methods is introduced. These simulation-based algorithms are implemente d for a variety of Bayesian applications such as normal and binary response regression, hierarchical modeling, order-restrictedinference, and robust modeling. Algorithms written in R are used to develop Bayesian tests and assess Bayesian models by use of the posterior predictive distribution. The use of R to interface with WinBUGS, a popular MCMC computinglanguage, is described with several illustrative examples. This book is a suitable companion book for an introductory course on Bayesian methods and is valuable to the statistical practitioner who wishes to learn more about the Rlanguage and Bayesian methodology. The LearnBayes package, written by the author and available from the CRAN website, contains all of the R functions described in the book. Jim A lbert is Professor of Statistics at Bowling Green StateUniversity. He is Fellow of the American Statistical Association and is past editor of The American Statistician. His books include Ordinal Data Mo |
Note: | Springer eBooks |
Contents: | An introduction to R |
Introduction to Bayesian thinking | |
Single | |
parameter models | |
Multiparameter models | |
Introduction to Bayesian computation | |
Markov chain Monte Carlo methods | |
Hierarchical modeling | |
Model comparision | |
Regression models | |
Gibbs sampling | |
Using R to interface with WinBUGS | |
ISBN: | 9780387713854 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Use R! |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Computer simulation , Computer science Mathematics , Visualization , Mathematical optimization , Mathematical statistics |
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Location: | ONLINE |
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