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Call number: | 9783319517063:ONLINE Show nearby items on shelf |
Title: | Physics of the Human Mind |
Author(s): |
Ihor Lubashevsky |
Date: | 2017 |
Size: | 1 online resource (XIV, 380 p. 83 illus., 41 illus. in color p.) |
Contents: | Modeling of Human Behavior as Individual Branch of Physics and Mathematics -- Why Laws of Classical Physics Have Their Form -- Fodor-Kim Dilemma -- Strong Emergence via Constitutive Fields -- Non-Cartesian Dualism and Meso-Relational |
Media -- Modeling of Human Behavior Within the Paradigm of Modern Physics -- Emergent Phenomena Caused by Bounded Capacity of Human Cognition -- Epilog: Physics and Human Mind -- References -- Index | |
ISBN: | 9783319517063 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Philosophy of mind , Neural networks (Computer science) , Cognitive psychology , Physics , Data-driven Science, Modeling and Theory Building , Mathematical Models of Cognitive Processes and Neural Networks , Cognitive Psychology , Philosophy of Mind , Mathematical Methods in Physics |
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Call number: | 9783319444185:ONLINE Show nearby items on shelf |
Title: | Space, Time and the Limits of Human Understanding |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (XXIII, 530 p. 51 illus p.) |
Contents: | Philosophy: Śrīharṣa on the Indefinability of Time by Jonathan Duquette and Krishnamurti Ramasubramanian -- Why Spacetime Has a Life of its Own by James Robert Brown -- From Time to Time by Nathan Salmon -- Relativity Theory may not |
have the last Word on the Nature of Time: Quantum Theory and Probabilism by Nicholas Maxwell -- Space as a Source and as an Object of Knowledge: The Transformation of the Concept of Space in the Post-Kantian Philosophy of Geometry by | |
Francesca Biagioli -- Space, Time and (how they) Matter by Valia Allori -- The Phenomenology of Space and Time: Husserl, Sartre, Derrida by Hans Herlof Grelland -- Time and Space in Ancient India, Pre-Philosophical Period by Michael | |
Witzel and Nataliya Yanchevskaya -- Time in Physics and Time in Awareness by E. C. G. Sudarshan -- Physics: The Future’s Not Ours to See, by Tony Sudbury -- Nature’s Book Keeping System by Gerard ‘t Hooft -- An anomaly in space and | |
time and the origin of dynamics by Joan A. Vaccaro -- Spacetime and Reality: Facing the Ultimate Judge by Vesselin Petkov -- Hermann Weyl’s Space-Time Geometry and its Impact on Theories of Fundamental Interactions by Norbert Straumann | |
-- Space, Time, and Adynamical Explanation in the Relational Blockworld by W.M. Stuckey, Michael Silberstein, and Timothy McDevitt -- Matter, Space, Time, and Motion: A Unified Gravitational Perspective by C. S. Unnikrishnan -- | |
Spacetime is Doomed by George Musser -- Mathematics: Geometry and Physical Space by Mary Leng -- The Geometry of Manifolds and the Perception of Space by Raymond O. Wells, Jr -- Topos Theoretic Approach to Space and Time by Goro C. | |
Kato -- Paradox? The Mathematics of Space-Time and the Limits of Human Understanding by Paul Ernest -- General Relativity, Time, and Determinism by James Isenberg -- “Now” has an infinitesimal positive duration by Reuben Hersh -- The | |
Fundamental Problem of Dynamics by Julian Barbour -- What’s wrong with the Platonic ideal of space and time? by Lorenzo Sadun -- Biology/Cognitive Science: Syntactic Space by Rajesh Kasturirangan -- Time measurement in living systems: | |
Human understanding and health implications by L Abhilash and Vijay Kumar Sharma -- The cellular space-the space of life by Pier Luigi Luisi -- The consciousness of space, the space of consciousness by Mauro Bergonzi and Pier Luigi | |
Luisi -- Time and Suffering (False metaphors, (de)synchronous times, and internal dynamics) by Norman Sieroka -- Evolutionary Time and the Creation of the Space of Life by Randall E. Auxier -- Computer Science: A computational | |
mathematics view of space, time and complexity by David H. Bailey and Jonathan M. Borwein -- The Black Hole in Mathematics by A. K. Dewdney -- Gödel’s Ontological Dreams by Gary Mar -- ‘Photographing the Footsteps of Time’: Space and | |
Time in Charles Babbage’s Calculating Engines by Doron Swade -- Gödel incompleteness and the empirical sciences by N. C. A. da Costa and F. A. Doria -- Miscellaneous: The Novel and the Map: Spatiotemporal Form and Discourse in Literary | |
Cartography by Robert T. Tally Jr -- Time, Space, and the Human Geographies of Opportunity by Donald G. Janelle -- Losing Time and Space: Experiencing Immersion by Diana J. Reichenbach. < | |
ISBN: | 9783319444185 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Epistemology , Metaphysics , Gravitation , Cosmology , Physics , Classical and Quantum Gravitation, Relativity Theory , Epistemology , History and Philosophical Foundations of Physics , Cosmology , Metaphysics |
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Call number: | SPRINGER-2016-9783662486382:ONLINE Show nearby items on shelf |
Title: | Bayesians Versus Frequentists A Philosophical Debate on Statistical Reasoning |
Author(s): |
Jordi Vallverdú |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (110 p.) |
Note: | 10.1007/978-3-662-48638-2 |
Contents: | Some Questions to Begin with -- Ancient Statistics History in a Nutshell -- The Bayesian Approach and its Evolution until the Beginning of 20th Century -- A Conceptual Reply to Reverend Bayes: the Frequentist Approach -- The Co-evolution, Battles a nd Fights of Both Paradigms -- The Birth of Multicausality as the Death of Causality and Their Statistical Corollaries.- Natural vs. Artificial Minds and the Supercomputing Era -- And the Winner is... -- References |
ISBN: | 9783662486382 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Philosophy , History , Philosophy and science , Mathematics , Statistics , Philosophy , Philosophy of Science , History of Mathematical Sciences , History of Science , Statistical Theory and Methods |
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Call number: | SPRINGER-2016-9783319397566:ONLINE Show nearby items on shelf |
Title: | Uncertainty The Soul of Modeling, Probability & Statistics |
Author(s): |
William Briggs |
Date: | 2016 |
Size: | 1 online resource (258 p.) |
Note: | 10.1007/978-3-319-39756-6 |
Contents: | Truth, Argument, Realism -- Logic -- Induction and Intellection -- What Probability Is -- What Probability Is Not -- Chance and Randomness -- Causality -- Probability Models -- Statistical and Physical Models -- Modelling Goals, Strategies, and Mis takes |
ISBN: | 9783319397566 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Statistics , Epistemology , Logic , Mathematics , Probabilities , Statistics , Statistical Theory and Methods , Probability Theory and Stochastic Processes , Philosophy of Mathematics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Epistemology , Logic |
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Call number: | SPRINGER-2016-9783319290669:ONLINE Show nearby items on shelf |
Title: | Murder on the Einstein Express and Other Stories |
Author(s): |
Harun Šiljak |
Date: | 2016 |
Size: | 1 online resource (5 p.) |
Note: | 10.1007/978-3-319-29066-9 |
Contents: | Preface -- Part I: The Short Stories -- Normed Trek -- The Cantor Trilogy -- In Search of Future Time -- Murder on the Einstein Express -- Part II: Afterthoughts |
ISBN: | 9783319290669 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Popular works , Philosophy and science , Computer science , Mathematics , Physics , Popular Science , Popular Science in Mathematics , Popular Science in Physics , Popular Computer Science , Philosophy of Science |
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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-2016-9783319274959:ONLINE Show nearby items on shelf |
Title: | Trick or Truth? The Mysterious Connection Between Physics and Mathematics |
Author(s): | |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (8 p.) |
Note: | 10.1007/978-3-319-27495-9 |
Contents: | Introduction -- Children of the cosmos (S. Wenmackers) -- Mathematics is Physics (M. S. Leifer) -- My god, it's full of clones: Living in a mathematical universe (M. Séguin) -- Let's consider two spherical chickens (T. Bolognesi) -- |
The raven and the writing desk (I. Durham) -- The deeper roles of mathematics in physical laws (K. H. Knuth) -- How mathematics meets the world (T. Maudlin) -- Mathematics: intuition's consistency check (K. Wharton) -- How not to | |
factor a miracle (D. K. Wise) -- The language of nature (D. Garfinkle) -- Demystifying the applicability of mathematics (N. Fillion) -- Why mathematics works so well (N. S. Yanofsky) -- Genesis of a pythagorean universe (A. Burov) -- | |
Beyond math (S. Magnusdottir) -- The descent of math (S. I. Walker) -- The ultimate tactics of self-referential systems (C. C. Dantas) -- Cognitive science and the connection between physics and mathematics (A. Gupta Mujumdar) -- A | |
metaphorical chart of our mathematical ontology (P. Gibbs).-And the math will set you free (C. Stoica) -- Appendix: List of winners | |
ISBN: | 9783319274959 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Philosophy and science , Mathematical physics , Mathematical logic , Physics , History and Philosophical Foundations of Physics , Philosophy of Science , Mathematical Applications in the Physical Sciences , Mathematical Logic and Foundations |
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Call number: | SPRINGER-2016-9783319270814:ONLINE Show nearby items on shelf |
Title: | Scientific Models Red Atoms, White Lies and Black Boxes in a Yellow Book |
Author(s): |
Philip Gerlee |
Date: | 2016 |
Size: | 1 online resource (8 p.) |
Note: | 10.1007/978-3-319-27081-4 |
Contents: | Prologue -- History.- Structure, Relation and Use -- Interviews.- Worked Examples -- Epilogue -- Further Reading |
ISBN: | 9783319270814 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematics , Mathematical models , Biomathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Mathematical and Computational Biology , Philosophy of Mathematics |
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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-2016-9783319198637:ONLINE Show nearby items on shelf |
Title: | Leibniz on the Parallel Postulate and the Foundations of Geometry The Unpublished Manuscripts |
Author(s): |
Vincenzo De Risi |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (195 p.) |
Note: | 10.1007/978-3-319-19863-7 |
Contents: | 1.Introduction -- 2.The Theory of Parallel Lines in the Age of Leibniz -- 3.Leibniz’ Epistemology of Geometry and the Parallel Postulate -- 4.Leibniz’ Attempts to prove the Parallel Postulate -- 5.Reception and Legacy -- Leibniz’ Texts on Par allel Lines -- Bibliography |
ISBN: | 9783319198637 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Science Networks. Historical Studies: 51 |
Keywords: | Mathematics , Philosophy , Geometry , History , Mathematics , History of Mathematical Sciences , Geometry , History of Philosophy |
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Call number: | SPRINGER-2014-9783642540752:ONLINE Show nearby items on shelf |
Title: | Upper and Lower Bounds for Stochastic Processes [electronic resource] : Modern Methods and Classical Problems |
Author(s): |
Michel Talagrand |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | The book develops modern methods and in particular the generic chaining to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given tostable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete solution of a number of classical problems is given incomplete detail, and an ambitious program for future re search is laid out |
Contents: | 0. Introduction |
1. Philosophy and Overview of the Book | |
2. Gaussian Processes and the Generic Chaining | |
3. Random Fourier Series and Trigonometric Sums, I | |
4. Matching Theorems I | |
5. Bernouilli Processes | |
6. Trees and the Art of Lower Bounds | |
7. Random Fourier Series and Trigonometric Sums, II | |
8. Processes Related to Gaussian Processes | |
9. Theory and Practice of Empirical Processes | |
10. Partition Scheme for Families of Distances | |
11. Infinitely Divisible Processes | |
12. The Fundamental Conjectures | |
13. Convergence of Orthogonal Series Majorizing Measures | |
14. Matc | |
ISBN: | 9783642540752 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 : v60 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319059662:ONLINE Show nearby items on shelf |
Title: | Euclid Vindicated from Every Blemish [electronic resource] : Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri |
Author(s): |
Gerolamo Saccheri Vincenzo Risi |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historicalintroduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work. Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was publishedin Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate, and the theory of proportions. Both topics were of pivotal importance in themathematics of the time. In particular, the Parallel Postulate had escaped demon stration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, thetheory of proportion was the most important mathematical tool of the Galilean School in its pursuit o f the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most importantbreakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geom etry that denied the truth of the postulate (in the attempt to find a contradiction). This can beregarded as the first system of non-Euclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contempo rary geometry. Occupying a unique position in the literature of mathematicalhistory, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of non-Euclid ean geometries |
Contents: | Foreword |
Introduction | |
Euclides Vindicatus (original Latin text) | |
Euclid vindicated (English translation) | |
Notes | |
Bibliography | |
Appendices | |
Index of names | |
ISBN: | 9783319059662 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Classic Texts in the Sciences : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Science History , Geometry |
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Call number: | SPRINGER-2014-9783319021119:ONLINE Show nearby items on shelf |
Title: | The Art of Science [electronic resource] : From Perspective Drawing to Quantum Randomness |
Author(s): |
Rossella Lupacchini Annarita Angelini |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Like linear perspective, complex numbers and probability are notable discoveries of the Renaissance. History has been quick to recognize the crucial impact of linear perspective on painting, but reluctant to acknowledge theimportance of complex numbe rs and probability. Both were treated with a great deal of suspicion by the scientific establishment and overlooked for many years. It was only in the twentieth century, when quantum theory defined the notionof complex probability amplitude, that complex numbers merged with probability and transformed the image of the physical world. From a theoretical point of view, however, the space opened to painting by linear perspective and thespace opened to science by complex numbers are equally valuable and share significant characteristics. By exploring that common ground, The Art of Science will lead the reader to complement Leonardos vision of painting as a scienceand to see science as an art. Its aim is to restore a visual dimension to mathematical sciences an element dulled, if not obscured, by historians, philosophers, and scientists themselves |
Contents: | From Perspective Drawing to the Eighth Dimension |
Seeing Reality in Perspective: The Art of Optics and the Science of Painting | |
The Role of Perspective in the Transformation of European Culture | |
Visual DifferentialGeometry and Beltramis Hyperbolic Plane | |
All Done by Mirrors: Symmetries, Quaternions, Spinors, and Clifford Algebras | |
Artists & Gamblers on the Way to Quantum Physics | |
Radices Sophisticae, Racines Imaginaires: The Origins of Complex Numbers in the Late Renaissance | |
Random, Complex, and Quantum | |
ISBN: | 9783319021119 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Science Philosophy , Quantum theory , Humanities |
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Call number: | SPRINGER-2014-9783319018874:ONLINE Show nearby items on shelf |
Title: | Essays on the Frontiers of Modern Astrophysics and Cosmology [electronic resource] |
Author(s): |
Santhosh Mathew |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book is a collection of engaging and intriguing essays that describe an intellectual journey from the beginning to the end of universe. It is the product of an ongoing effort to know our place in the universe and share withreaders the underpinni ngs of the magnificent cosmos where we are given a chance to exist only very briefly. The essays incorporate a group of challenging ideas that modern physics and cosmology are struggling to understand, in a uniqueway that incorporates mythological, religi ous, and philosophical perspectives. The author relies on a simple and powerful philosophy that we are part of the universe and the universe is part of us. This wonderful collection ofessays provides a journey through the current frontiers of modern astr ophysics and cosmology. Its depiction of the most important unsolved mysteries about our place in the Universe is peppered with original insights and philosophicalperspectives, making it an intellectual treat. Avi Loeb, Professor, Harvard University Chai r, Astronomy Department Director, Institute for Theory and Computation In these essays, Santhosh Mathew combines an impressive knowledgeof physics with an eye to its connection to Eastern philosophy as well as its relevance to our life in modern times. I n his thoughtful investigation of natural phenomena and their relationship to universal philosophical truths, hetakes up where The Tao of Physics leaves off. You may well find his keen curiosity about the natural world and our place in it infectious. Car ole Bugge (C. E. Lawrence), author of Strings In this informative assemblage ofengaging essays Santhosh Mathew takes the reader on a deeply human quest for truth, a truly inspiring journey that boldly addresses the big questions of what the Universe is, how it came into being, and where it may be heading. Thisexciting adventure is as much a rich scientific history of elegant physics, mathematics, and cosmology as it is a philosophical and |
Contents: | Genesis of Genesis |
Parallel Universes | |
Once Upon a Time There Was No Time or Space | |
Whats the Matter with Anti | |
matter? | |
Playing with Light | |
Dark forces in the Universe | |
Is This Universe Infinite? | |
Holographic Universe Ultimate Illusion | |
Mind Over Matter | |
The Spooky World of Quantum Entanglement | |
Hadron Collider Passport to the Universe | |
Theory of Everything | |
Are We Alone? | |
The End of Everything | |
ISBN: | 9783319018874 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Praxis Books |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Science Philosophy , Astronomy |
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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-2014-9783319004822:ONLINE Show nearby items on shelf |
Title: | Leniewski's Systems of Logic and Foundations of Mathematics [electronic resource] |
Author(s): |
Rafal Urbaniak |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsawschool. The authors nuanced survey eschews secondary commentary, analyzing Leniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brillia nt logicians that congregated in Poland in the early twentieth century, Leniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski washis PhD student). His primary achievement was a system of foundational mathema tical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strandsprotothetic,ontology, and mereology, are detailed in discrete sections of this volume, alongside a wealth other chapters g rouped to provide the fullest possible coverage of Leniewskis academic output. With material on his earlyphilosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophys great pioneers |
Contents: | Chapter 1: Introduction |
Chapter 2. Leniewski's early philosophical views | |
Chapter 3. Leniewski's Protothetic | |
Chapter 4. Leniewski's Ontology | |
Chapter 5. Leniewski's Mereology | |
Chapter 6. Leniewski and definitions | |
Chapter 7. Sets revisited | |
Chapter 8. Nominalism and higher | |
order quantification | |
ISBN: | 9783319004822 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Trends in Logic, Studia Logica Library, 1572-6126 : v37 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Philosophy (General) , Logic , Science Philosophy , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2014-9783034808316:ONLINE Show nearby items on shelf |
Title: | The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland [electronic resource] |
Author(s): |
Roman Murawski |
Date: | 2014 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s. It was a remarkable period inthe history of Polish sc ience, in particular in the history of Polish logic and mathematics. Therefore, it is justified to ask whether and to what extent the development of logic and mathematics was accompanied by a philosophicalreflection. We try to answer those questions by an alyzing both works of Polish logicians and mathematicians who have a philosophical temperament as well as their research practice. Works and philosophical views of the following Polishscientists will be analyzed: Wacaw Sierpiski, Zygmunt Janiszewski, Stef an Mazurkiewicz, Stefan Banach Hugo Steinhaus, Eustachy ylisk and Leon Chwistek, Jan ukasiewicz, Zygmunt Zawirski, Stanisaw Leniewski, TadeuszKotarbiski, Kazimierz Ajdukiewicz, Alfred Tarski, Andrzej Mostowski and Henryk Mehlberg, Jan Sleszyski, Stanisaw Zaremba and Witold Wilkosz. To indicate the background of scientists being active in the 1920s and 1930s we considerin Chapter 1 some predecessors, in particular: Jan niadecki, Jzef Maria Hoene-Wroski, Samuel Dickstein and Edward Stamm |
Contents: | Introduction |
Predecessors | |
The Polish School of Mathematics | |
Lvov | |
Warsaw School of Philosophy | |
Benedykt Bornstein | |
Cracow Centre | |
Conclusion | |
Biographical Notes | |
Bibliography | |
Index of Names | |
ISBN: | 9783034808316 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Science Networks. Historical Studies, 1421-6329 : v48 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Philosophy (General) , Logic , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2014-9781461489634:ONLINE Show nearby items on shelf |
Title: | Phase Transition Dynamics [electronic resource] |
Author(s): |
Tian Ma Shouhong Wang |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book areto introduce a gener al principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in thenonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories:continuous, catastrophic and random. The audience for this boo k includes advanced graduate students and researchers in mathematics and physics as well as in other related fields |
Contents: | Users Guide |
General Theory of Phase Transition Dynamics | |
Dynamic Transition Theory | |
Equilibrium Phase Transition in Statistical Physics | |
Fluid Dynamics | |
Geophysical Fluid Dynamics and Climate Dynamics | |
Dynamical Transitions in Chemistry and Biology | |
References | |
ISBN: | 9781461489634 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2014-9781461489399:ONLINE Show nearby items on shelf |
Title: | A Mathematical Odyssey [electronic resource] : Journey from the Real to the Complex |
Author(s): |
Steven G Krantz Harold R Parks |
Date: | 2014 |
Publisher: | Boston, MA : Springer US : Imprint: Springer |
Size: | 1 online resource |
Note: | Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on inmathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know that the Poincar conjecture gives us important information about the shape of our universe. Just asevery responsible citizen realizes that the mass-product ion automobile was pioneered by Henry Ford, just so everyone should know that the P/NP problem has implications for security and data manipulation that will affect everyone. Thisbook endeavors to tell the story of the modern impact of mathematics, of its trials and triumphs and insights, in language that can be appreciated by a broad audience. It endeavors to show what mathematics means for our lives, how itimpacts all of us, and what new thoughts it should cause us to entertain. It introduces new vistas of mathematical ideas and shares the excitement of new ideas freshly minted. It discusses the significance and impact of these ideas,and gives them meaning that will travel well and cause people to reconsider their place in the universe. Mathematics is on e of mankind's oldest disciplines. Along with philosophy, it has shaped the very modus of human thought. And itcontinues to do so. To be unaware of modern mathematics is to be miss out on a large slice of life. It is to be left out of essential modern dev elopments. We want to address this point, and do something about it. This is a book to makemathematics exciting for people of all interests and all walks of life. Mathematics is exhilarating, it is ennobling, it is uplifting, and it is fascinating. We wan t to show people this part of our world, and to get them to travel newpaths |
ISBN: | 9781461489399 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Science (General) |
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Call number: | SPRINGER-2013-9783642312380:ONLINE Show nearby items on shelf |
Title: | Quantum Physics in the Nanoworld [electronic resource] : Schrdinger's Cat and the Dwarfs |
Author(s): |
Hans Lth |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book deals with all essential aspects of non-relativistic quantum physics up to the quantization of fields. In contrast to common textbooks of quantum mechanics, modern experiments are described both for the purpose offoundation of the theory and in relation to recent applications. In this respect applications to nano-electronics as well as the realization of quantum-bits are presented and discussed. Furthermore, links are made to other importantresearch fields and applications, such as elementar y particle physics, solid state physics and nuclear magnetic resonance tomography in medicine. Even though the representation of the topics is largely performed in terms of Diracsbra-ket notation and by use of commutator algebra, the concrete description of the physical basis and the corresponding theoretical concepts are emphasized. Because of little requirement of complex mathematics, the book is suitable asan introduction into quantum physics, not only for physicists but also for chemists, biologists, engineers, computer scientists and even for philosophers as far as they are interested in natural philosophy and epistomology |
Note: | Springer eBooks |
Contents: | Some Fundamental Experiments |
Particle | |
Wave Duality | |
Quantum States in Hilbert Space | |
Angular Momentum, Spin and Particle Categories | |
Approximate Solutions for Important Model Systems | |
Superposition, Entanglement and other Oddities | |
Fields and Quanta | |
ISBN: | 9783642312380 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Nanochemistry , Quantum theory , Engineering , Nanotechnology |
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Call number: | SPRINGER-2013-9783540708568:ONLINE Show nearby items on shelf |
Title: | Ernst Zermelo - Collected Works/Gesammelte Werke II [electronic resource] : Volume II/Band II - Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung, Angewandte Mathematik und Physik |
Author(s): |
Ernst Zermelo Heinz-Dieter Ebbinghaus Akihiro Kanamori |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Springer eBooks |
ISBN: | 9783540708568 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Schriften der Mathematisch-naturwissenschaftlichen Klasse der Heidelberger Akademie der Wissenschaften : v23 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Science History , Philosophy (General) , Computer science , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2013-9783319009667:ONLINE Show nearby items on shelf |
Title: | Mathematics, Computer Science and Logic - A Never Ending Story [electronic resource] : The Bruno Buchberger Festschrift |
Author(s): |
Peter Paule |
Date: | 2013 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents four mathematical essays which explore the foundations of mathematics and related topics ranging from philosophy and logic to modern computer mathematics. While connected to the historical evolution of theseconcepts, the essays pla ce strong emphasis on developments still to come. The book originated in a 2002 symposium celebrating the work of Bruno Buchberger, Professor of Computer Mathematics at Johannes Kepler University, Linz, Austria,on the occasion of his 60th birthday. Among many other accomplishments, Professor Buchberger in 1985 was the founding editor of the Journal of Symbolic Computation the founder of the Research Institute for Symbolic Computation (RISC)and its chairman from 1987-2000 the founder in 1990 of the Softwar epark Hagenberg, Austria, and since then its director. More than a decade in the making, Mathematics, Computer Science and Logic - A Never Ending Story includes essaysby leading authorities, on such topics as mathematical foundations from the perspective of computer verification a symbolic-computational philosophy and methodology for mathematics the role of logic and algebra in softwareengineering and new directions in the foundations of mathematics. These inspiring essays invite general, mathematically i nterested readers to share state-of-the-art ideas which advance the never ending story of mathematics, computerscience and logic. Mathematics, Computer Science and Logic - A Never Ending Story is edited by Professor Peter Paule, Bruno Buchbergers successo r as director of the Research Institute for Symbolic Computation |
Note: | Springer eBooks |
Contents: | Preface |
Henk Barendregt: Foundations of Mathematics from the Perspective of Computer Verification | |
Manfred Broy: On the Role of Logic and Algebra in Software Engineering | |
Stephen Wolfram: New Directions in the Foundations of Mathematics (2002) | |
Doron Zeilberger: Towards a Symbolic Computational Philosophy (and Methodology!) for Mathematics | |
ISBN: | 9783319009667 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Software engineering , Information theory , Algorithms , Computer software , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2013-9783034806091:ONLINE Show nearby items on shelf |
Title: | Towards a General Theory of Classifications [electronic resource] |
Author(s): |
Daniel Parrochia Pierre Neuville |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind ofthem: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothingbut a dream. Instead, the authors essentia lly put forward a number of key questions. Their aim is rather to reveal the state of art of this dynamic field and the philosophy one may eventually adopt to go further. To this end theypresent some advances made in the course of the last century, discus s a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionalsinterested in the epistemology and philosophy of science, library science, logic and set theor y, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in thisfield |
Note: | Springer eBooks |
Contents: | Foreword |
1 Philosophical problems | |
2 Information data structures | |
3 Empirical Clustering and classic hierarchies | |
4 Algebra of trees | |
5 Generalized Classifications | |
6 Topology of generalized classifications | |
7 Meta | |
classification | |
8 For an axiomatic theory of classifications | |
9 Alternative theories and higher infinite | |
10 Postscript | |
Bibliography. | |
ISBN: | 9783034806091 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Studies in Universal Logic |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Logic , Information storage and retrieval systems , Algebra , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2013-9783034806008:ONLINE Show nearby items on shelf |
Title: | Visual Reasoning with Diagrams [electronic resource] |
Author(s): |
Amirouche Moktefi Sun-Joo Shin |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use ofdiagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early 20th century's symbolization of modern logic by Frege and Russell.Recently, we have been witnessing a reviva l of interest in diagrams from various disciplines - mathematics, logic, philosophy, cognitive science, and computer science. This book aims to provide a space for this newly debated topic -the logical status of diagrams - in order to advance the goal of universal logic by exploring common and/or unique features of visual reasoning |
Note: | Springer eBooks |
Contents: | Preface |
1.What is a logical diagram? (Catherine Legg) | |
2.The geometry of diagrams and the logic of syllogisms (Richard Bosley) | |
3.A diagrammatic calculus of syllogisms (Ruggero Pagnan) | |
4.Beyond syllogisms: Carrolls (marked) quadriliteral diagram (Amirouche Moktefi) | |
5.A diagrammatic bridge between classical and fuzzy logics(Ferdinando Cavaliere) | |
6.Diagrammatic reasoning with Classes and relationships (Jrgen Fischer Nilsson) | |
7.On the completeness of spider diagrams augmented with constants (Gem Stapleton, John Howse, Simon Thompson, John Taylor and Peter C | |
ISBN: | 9783034806008 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Studies in Universal Logic |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Logic , Visualization , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2013-9781461480242:ONLINE Show nearby items on shelf |
Title: | Lie Groups [electronic resource] |
Author(s): |
Daniel Bump |
Date: | 2013 |
Edition: | 2nd ed. 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: | This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provides a carefully chosen range ofmaterial to give the student the bigger picture. The book is organized to allow different paths through the material depending on one's interests.This second edition has substantial new material, including improved discussions ofunderlying principles, streamlining of some pro ofs, and many results and topics that were not in the first edition. For compact Lie groups, the book covers the PeterWeyl theorem, Lie algebra, conjugacy of maximal tori, the Weylgroup, roots and weights, Weyl character formula, the fundamental group and more. The book continues with the study of complex analytic groups and general noncompact Lie groups, covering the Bruhat decomposition, Coxeter groups, flagvarieties, symmetric spaces, Satake diagrams, embeddings of Lie groups and spin. Other topics tha t are treated are symmetric function theory, the representation theory of the symmetric group, FrobeniusSchur duality andGL(n)GL(m) duality with many applications including some in random matrix theory, branching rules, Toeplitz determinants, combinatoric s of tableaux, Gelfand pairs, Hecke algebras, the philosophy of cusp forms and thecohomology of Grassmannians. An appendix introduces the reader to the use of Sage mathematical software for Lie group computations |
Note: | Springer eBooks |
Contents: | Part I: Compact Topological Groups |
1 Haar Measure | |
2 Schur Orthogonality | |
3 Compact Operators | |
4 The PeterWeyl Theorem | |
Part II: Compact Lie Groups | |
5 Lie Subgroups of GL(n,C) | |
6 Vector Fields | |
7 Left | |
Invariant Vector Fields | |
8 The Exponential Map | |
9 Tensors and Universal Properties | |
10 The Universal Enveloping Algebra | |
11 Extension of Scalars | |
12 Representations of sl(2,C) | |
13 The Universal Cover | |
14 The Local Frobenius Theorem | |
15 Tori | |
16 Geodesics and Maximal Tori | |
17 The Weyl Integration Formula | |
18 The Root System | |
19 Examples of Root Systems | |
ISBN: | 9781461480242 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Mathematics, 0072-5285 : v225 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Topological Groups |
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Call number: | SPRINGER-2013-9781461455141:ONLINE Show nearby items on shelf |
Title: | SpaceX [electronic resource] : Making Commercial Spaceflight a Reality |
Author(s): |
Erik Seedhouse |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Praxis |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | 2012 - the year when the first ever privately-developed spacecraft visited the International Space Station. This is the story of how one company is transforming commercial space flight. It describes the extraordinary feats ofengineering and human ach ievement that have resulted in the world's first fully reusable launch vehicles and the prospect of human travel to Mars. SpaceX - The First Ten Years: - explores the philosophy behind the success of SpaceX -explains the practical management that enables SpaceX to keep it simple, reliable, and affordable - details the developmentof the Falcon 1, Falcon 9 and Falcon Heavy rockets and the technology of the Merlin engines - describes thecollaboration with NASA - introduces current SpaceX projects, including the Grasshopper reusable launch vehicle and the Stratolaunch System. SpaceX - The First Ten Years is a portrait of one of the most spectacular spaceflighttriumphs of the 21st century, one that is laying the foundation for humanity to become a spacefaring civilization |
Note: | Springer eBooks |
Contents: | Elon Musk |
Space Exers | |
The Engines Merlin | |
The Rockets: from the Falcon 1 to the Falcon 9 | |
The Rockets: from the Falcon 9 to the Falcon Heavy | |
The Spacecraft Dragon | |
Contracts and Flight Operations | |
Ill Put a Man on Mars in 10 Years | |
Red Dragon | |
ISBN: | 9781461455141 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Praxis Books |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Astrophysics , Mathematics , Astronautics , Entrepreneurship |
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Call number: | SPRINGER-2013-9781447148326:ONLINE Show nearby items on shelf |
Title: | Modular Representation Theory of Finite Groups [electronic resource] |
Author(s): |
Peter Schneider |
Date: | 2013 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavours. In the 'semisimple case' (for exampleover the fieldof complex numbers) one can use character theory to completely understand the representations. This by far is not sufficient when the characteristic of the field divides the order of the group. Modular representation theory of finitegroups comprises this second situation. Many additional tools are needed for this case. To mention some, there is the systematic use of Grothendieck groups leading to the Cartan matrix and the decomposition matrix of the group as wellas Green's direct analysis of indecomposable representations. Ther e is also the strategy of writing the category of all representations as the direct product of certain subcategories, the so-called 'blocks' of the group. Brauer's workthen establishes correspondences between the blocks of the original group and blocks of certain subgroups the philosophy being that one is thereby reduced to a simpler situation. In particular, one can measure how nonsemisimple acategory a block is by the size and structure of its so-called 'defect group'. All these concepts are made explic it for the example of the special linear group of two-by-two matrices over a finite prime field. Although the presentationis strongly biased towards the module theoretic point of view an attempt is made to strike a certain balance by also showing the read er the group theoretic approach. In particular, in the case of defect groups a detailed proof of theequivalence of the two approaches is given. This book aims to familiarize students at the masters level with the basic results, tools, and techniques of a beautiful and important algebraic theory. Some basic algebra together with thesemisimple case are assumed to be known, although all facts to be used are restated (without proofs) in the text. Otherwis |
Note: | Springer eBooks |
Contents: | Prerequisites in module theory |
The Cartan{Brauer triangle | |
The Brauer character | |
Green's theory of indecomposable modules | |
Blocks | |
ISBN: | 9781447148326 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Group theory |
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Call number: | SPRINGER-2012-9788847023611:ONLINE Show nearby items on shelf |
Title: | Logic: A Brief Course [electronic resource] |
Author(s): |
Daniele Mundici |
Date: | 2012 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gdel's completeness theorem and its main consequences isgiven using Robinson's c ompleteness theorem and Gdel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logicalequivalence and consequence relation, the Davis-Putna m procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphicobjects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book alsointeresting to a wide range of students of philosophy and linguistics |
Note: | Springer eBooks |
Contents: | Introduction |
Fundamental Logical Notions | |
The Resolution Method | |
Robinson Completeness Theorem | |
Fast Classes for DPP | |
Godel Compactness Theorem | |
Propositional Logic: Syntax | |
Propositional Logic: Semantics | |
Normal Forms | |
Recap: Expressivity and Efficiency | |
The Quantifiers There Exists and For All | |
Syntax of Predicate Logic | |
The Meaning of Clauses | |
Godel Completeness Theorem for the Logic of Clauses | |
Equality Axioms | |
The Predicate Logic L | |
ISBN: | 9788847023611 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | UNITEXT, 2038-5714 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Logic, Symbolic and mathematical , Semantics |
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Call number: | SPRINGER-2012-9783034605045:ONLINE Show nearby items on shelf |
Title: | New Essays on Leibniz Reception [electronic resource] : In Science and Philosophy of Science 1800-2000 |
Author(s): |
Ralf Krmer Yannick Chin-Drian |
Date: | 2012 |
Publisher: | Basel : Springer Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is a collection of essays on the reception of Leibnizs thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz,Bertrand Russell, Ernst Cassire r, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gdel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibnizs thought and that of the later authors: thecontinuum, space, identity, number, the infinite and the infinit ely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history ofphilosophy and of science (research on Leibniz, and the research concerned with some major d evelopments in the 19th and 20th centuries) it describes how Leibnizs thought appears in the works of these authors, in order to betterunderstand Leibnizs influence on contemporary science and philosophy but it also assesses that reception critically, con fronting it in particular with the current state of Leibniz research and with the various editions of hiswork |
Note: | Springer eBooks |
Contents: | Introduction Ralf Krmer and Yannick Chin |
Drian | |
The idea of number from Gauss to Cantor. The Leibnizian heritage and its surpassing Philippe Sguin | |
The Reception of Leibnizs Logic in 19th Century German Philosophy Volker Peckhaus | |
Leibnizs Metaphysics as an Epistemological Obstacle to the Mathematization of Nature: the View of a Late 19th Century Neo | |
Kantian, Kurd Lasswitz Franoise Willmann | |
Peano and his School between Leibniz and Couturat: the influence in mathematics and in international language Erika Luciano | |
Couturats reception of Leibniz Anne | |
Franoise Schmid | |
ISBN: | 9783034605045 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Publications des Archives Henri Poincar Publications of the Henri Poincar Archives |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Science Philosophy |
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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-2012-9780817682682:ONLINE Show nearby items on shelf |
Title: | Excursions in the History of Mathematics [electronic resource] |
Author(s): |
Israel Kleiner |
Date: | 2012 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Partfive provides biographie s of five mathematicians who played major roles in the historical events described in the first four parts of the work. Each of the first three partson number theory, calculus/analysis, and proofbeginswith a survey of the respective subject and is followe d in more depth by specialized themes. Among the specialized themes are: Fermat as the founder of modern number theory, Fermats Last Theorem from Fermat to Wiles, the historyof the function concept, paradoxes, the principle of continuity, and an historica l perspective on recent debates about proof. The fourth part contains essays describing mathematics courses inspired by history. The essays deal withnumbers as a source of ideas in teaching, with famous problems, and with the stories behind various great quotations. The last part gives an account of five mathematiciansDedekind, Euler, Gauss, Hilbert, and Weierstrasswhoselives and work we hope readers will find inspiring. Key features of the work include: * A preface describing in some detail the author's ideas on teaching mathematics courses, in particular, the role of history in such courses *Explicit comments and suggestions for teachers on how history can affect the teaching of mathematics * A description of a course in the history of mathematics taugh t in an In-Service Master's Program for high school teachers *Inclusion of issues in the philosophy of mathematics * An extensive list of relevant references at the end of each chapter. Excursions in the History of Mathematics was written with several goa ls in mind: to arouse mathematicsteachers interest in the history of their subject to encourage mathematics teachers with at least some knowledge of the history of mathe |
Note: | Springer eBooks |
Contents: | A. Number Theory |
1. Highlights in the History of Number Theory: 1700 BC | |
2008 | |
2. Fermat: The Founder of Modern Number Theory | |
3. Fermat's Last Theorem: From Fermat to Wiles | |
B. Calculus/Analysis | |
4. A History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher | |
5. A Brief History of the Function Concept | |
6. More on the History of Functions, Including Remarks on Teaching | |
C. Proof | |
7. Highlights in the Practice of Proof: 1600 BC | |
2009 | |
8. Paradoxes: What are they Good for? | |
9. Principle of Continuity: 16th | |
19th centuries | |
10 | |
ISBN: | 9780817682682 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Logic, Symbolic and mathematical , Number theory |
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Call number: | SPRINGER-2011-9789400700055:ONLINE Show nearby items on shelf |
Title: | Dual Tableaux: Foundations, Methodology, Case Studies [electronic resource] |
Author(s): |
Ewa Orlowska Joanna Goliska Pilarek |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book presents logical foundations of dual tableaux together with a number of their applications both to logics traditionally dealt with in mathematics and philosophy (such as modal, intuitionistic, relevant, and many-valuedlogics) and to various applied theories of computational logic (such as temporal reasoning, spatial reasoning, fuzzy-set-based reasoning, rough-set-based reasoning, order-of magnitude reasoning, reasoning about programs, thresholdlogics, logics of conditional decisions). The di stinguishing feature of most of these applications is that the corresponding dual tableaux are built in a relational language which provides useful means of presentation of the theories.In this way modularity of dual tableaux is ensured. We do not need to develop and implement each dual tableau from scratch, we should only extend the relational core common to many theories with the rules specific for a particulartheory |
Note: | Springer eBooks |
Contents: | 1. Dual Tableau for Classical First |
Order Logic | |
2. Dual Tableaux for Logics of Classical Algebras of Binary | |
3. Theories of Point Relations and Relational Model Checking | |
4. Dual Tableaux for Peirce Algebras | |
5. Dual Tableaux for Fork Algebras | |
6. Dual Tableaux for Relational Databases | |
Part III. Relational Reasoning in Traditional Non | |
classical Logics | |
7. Dual Tableaux for Classical Modal Logics | |
8. Dual Tableaux for Some Logics Based on Intuitionism | |
9. Dual Tableaux for Relevant Logics | |
10. Dual Tableaux for Many | |
valued Logics | |
Part IV. Relational Reasoning in Logi | |
ISBN: | 9789400700055 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Trends in Logic, 1572-6126 : v33 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Logic , Computer science , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2011-9789048196708:ONLINE Show nearby items on shelf |
Title: | Gentzen Calculi for Modal Propositional Logic [electronic resource] |
Author(s): |
Francesca Poggiolesi |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The book is about Gentzen calculi for (the main systems of) modal logic. It is divided into three parts. In the first partwe introduce and discuss the main philosophical ideas related to proof theory, and we try to identifycriteria for distinguishing good sequent calculi. In the second part we present the several attempts made from the 50s until today to provide modal logic with Gentzen calculi. In the third and and final part we analyse new calculifor modal logics, called tree-hypersequent calculi, which were recently introduced by the author. We show in a precise and clear way the main results that can be proved with and about them. |
Note: | Springer eBooks |
Contents: | PartI An overview of the sequent calcus |
PartII, Sequent caluli for modal logic | |
Part III, Tree | |
hyperseqent calculi | |
Reference | |
Symbols and notations | |
Index | |
ISBN: | 9789048196708 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Trends in Logic : v32 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Philosophy (General) , Computer vision , Mathematics |
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Call number: | SPRINGER-2011-9788847018365:ONLINE Show nearby items on shelf |
Title: | Giuseppe Peano between Mathematics and Logic [electronic resource] : Proceeding of the International Conference in honour of Giuseppe Peano on the 150th anniversary of his birth and the centennial of the FormularioMathematico, Turin (Italy), October 23,2008 / edited by Fulvia Skof |
Author(s): |
Fulvia Skof |
Date: | 2011 |
Publisher: | Milano : Springer Milan |
Size: | 1 online resource |
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Note: | This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University tocelebrate the 150th anniversa ry of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, agreat attempt to systematise Mathematics in symbolic f orm |
Note: | Springer eBooks |
Contents: | Giuseppe Peano and Mathematical Analysis in Italy |
Some Contributions of Peano to Analysis in the Light of the Work of Belgian Mathematicians | |
Peano, his School andNumerical Analysis | |
Geometric Calculus and Geometry Foundations in Peano | |
The Formulario between Mathematics and History | |
Giuseppe Peano: a Revolutionary in Symbolic Logic? | |
At the Origins of Metalogic | |
Foundations of Geometry in the School of Peano | |
ISBN: | 9788847018365 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Science Philosophy , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2011-9783642208805:ONLINE Show nearby items on shelf |
Title: | Elegance and Enigma [electronic resource] : The Quantum Interviews |
Author(s): |
Maximilian Schlosshauer |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Quantum mechanics is one of mankind's most remarkable intellectual achievements. Stunningly successful and elegant, it challenges our deepest intuitions about the world. In this book, seventeen physicists and philosophers, alldeeply concerned with un derstanding quantum mechanics, reply to Schlosshauer's penetrating questions about the central issues. They grant us an intimate look at their radically different ways of making sense of the theory'sstrangeness. What is quantum mechanics about? What is it telling us about nature? Can quantum information or new experiments help lift the fog? And where are we headed next? Everyone interested in the contemporary but oftenlongstanding conundrums of quantum theory, whether lay reader or expert, will find much food for thought in these pages. A wealth of personal reflections and anecdotes guarantee an engaging read. Participants: Guido Bacciagaluppi,Caslav Brukner, Jeffrey Bub, Arthur Fine, Christopher Fuchs, GianCarlo Ghirardi, Shelly Goldstein, Daniel Greenbe rger, Lucien Hardy, Anthony Leggett, Tim Maudlin, David Mermin, Lee Smolin, Antony Valentini, David Wallace, AntonZeilinger, and Wojciech Zurek |
Note: | Springer eBooks |
Contents: | First Encounters |
Big Issues | |
My Favorite Interpretation | |
Quantum States | |
Randomness | |
Quantum Probabilities | |
The Measurement Problem | |
Bell's Inequalities | |
Quantum Information | |
Reconstructions | |
The Experiment of My Dreams | |
Switching Sides | |
Beliefs and Values | |
The Role of Philosophy | |
Unification | |
The Next Big Bang | |
Dear Oracle | |
Epilogue | |
Glossary | |
Index | |
ISBN: | 9783642208805 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | The Frontiers Collection, 1612-3018 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Science Philosophy , Quantum theory , Mathematics |
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Call number: | SPRINGER-2011-9783642176470:ONLINE Show nearby items on shelf |
Title: | Risk and Meaning [electronic resource] : Adversaries in Art, Science and Philosophy |
Author(s): |
Nicolas Bouleau |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This richly illustrated book is an exploration of how chance and risk, on the one hand, and meaning or significance on the other, compete for the limelight in art, in philosophy, and in science. In modern society, prudence andprobability calculation permeate our daily lives. Yet it is clear for all to see that neither cautious bank regulations nor mathematics have prevented economic crises from occurring time and again. Nicolas Bouleau argues that it is themeaning we assign to an event that determine s the perceived risk, and that we generally turn a blind eye to this important fact, because the word meaning is itself awkward to explain. He tackles this fundamental question throughexamples taken from cultural fields ranging from painting, architecture , and music, to poetry, biology, and astronomy. This enables the reader to view overwhelming risks in a different light. Bouleau clarifies that the most importantthing in a time of uncertainty is to think of prudence on a higher level, one that truly addr esses the various subjective interpretations of the world |
Note: | Springer eBooks |
Contents: | Entrance: Interpretation and Paradigms |
I. Cicero and Divination | |
II. Cournots Philosophic Probabilities | |
III. Mathematical Probabilities | |
IV. Democracy by Chance | |
V. Gestalt, Structure, Pattern | |
VI. The Third Dimension of Risk | |
VII. ''Modern Architecture | |
VIII. The Ideal City | |
IX.Daring the Abstract in Art | |
X. Saussure or the Dread of Mathematical Probabilities | |
XI. Jacques Monods Roulette | |
XII.From Fortuitism to Animism | |
XIII. The Slip as Fortuity and Meaning | |
XIV. Guessing Astronomy | |
XV. The Legitimacy of Science and Love | |
Hints and Index | |
ISBN: | 9783642176470 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Aesthetics , Genetic epistemology , Distribution (Probability theory) , Arts |
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Call number: | SPRINGER-2011-9783642163135:ONLINE Show nearby items on shelf |
Title: | The Foundations of Statistics: A Simulation-based Approach [electronic resource] |
Author(s): |
Shravan Vasishth Michael Broe |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Statistics and hypothesis testing are routinely used in areas (such as linguistics) that are traditionally not mathematically intensive. In such fields, when faced with experimental data, many students and researchers tend torely on commercial packag es to carry out statistical data analysis, often without understanding the logic of the statistical tests they rely on. As a consequence, results are often misinterpreted, and users have difficulty in flexiblyapplying techniques relevant to their own rese arch they use whatever they happen to have learned. A simple solution is to teach the fundamental ideas of statistical hypothesis testing without using too much mathematics. This bookprovides a non-mathematical, simulation-based introduction to basic sta tistical concepts and encourages readers to try out the simulations themselves using the source code and data provided (the freely available programming language Ris used throughout). Since the code presented in the text almost always requires the use of previously introduced programming constructs, diligent students also acquire basic programming abilities in R. The book is intended foradvanced undergraduate and graduate students in any discipline, although the focus is on linguistics, psychology, and co gnitive science. It is designed for self-instruction, but it can also be used as a textbook for a first course onstatistics. Earlier versions of the book have been used in undergraduate and graduate courses in Europe and the US. Vasishth and Broe have wr itten an attractive introduction to the foundations of statistics. It is concise,surprisingly comprehensive, self-contained and yet quite accessible. Highly recommended. Harald Baayen, Professor of Linguistics, University of Alberta, Canada By using the text students not only learn to do the specificthings outlined in the book, they also gain a skill set that empowers them to explore new areas that lie beyond the books coverage. C |
Note: | Springer eBooks |
Contents: | 1. Getting Started |
2. Randomness and Probability | |
3. The Sampling Distribution of the Sample Mean | |
4. Power | |
5. Analysis of Variance (NOVA) | |
6. Bivariate Statistics and Linear Models | |
7. An Introduction to Linear Mixed Models. A. Random Variables | |
B | |
Basic R Commands and Data Structures | |
Index | |
References | |
ISBN: | 9783642163135 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Data mining , Psycholinguistics , Philosophy (General) |
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Call number: | SPRINGER-2011-9783642142703:ONLINE Show nearby items on shelf |
Title: | The Pursuit of Quantum Gravity [electronic resource] Memoirs of Bryce DeWitt from 1946 to 2004 |
Author(s): |
Ccile DeWitt-Morette |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | 1946 is the year Bryce DeWitt entered Harvard graduate school. Quantum Gravity was his goal and remained his goal throughout his lifetime until the very end. The pursuit of Quantum Gravity requires a profound understanding ofQuantum Physics and Gravi tation Physics. As G. A. Vilkovisky commented , Quantum Gravity is a combination of two words, and one should know both. Bryce understood this as nobody else, and this wisdom is completely unknown to manyauthors of the flux of papers that we see nowadays. Distingished physicist Cecile DeWitt-Morette skillfully blends her personal and scientific account with a wealth of her late husband's often unpublished writings on the subjectmatter. This volume, through the perspective of the leading researcher on quan tum gravity of his generation, will provide an invaluable source of reference for anyone working in the field. I found the book both instructive andfascinating. Bryce DeWitt and Ccile DeWitt-Morette formed the most creative couple in physics that I have e ver read about, heard about or, in this case, been privileged to know. Bryce started work on the problem of quantum gravity inthe late 1940s, long before it became fashionable, and continued to make trail-blazing contributions until his death. Ccile, supe rbly trained and gifted in mathematics as well as physics, made many contributions to other fields ofphysics and also collaborated with Bryce from time to time. Now she has memorialized him in a way that only she could, framing the documented story of his lifelong quest with an account from her unique vantage point. Fortunately, thisincludes a discussion of functional integration, a field in which her work is of fundamental significance. John Stachel, Director, Center for Einstein Studies, Boston Universi ty These wonderful memoirs were produced by DeWittspartner-in-life-and-science, Ccile Morette (pouse DeWitt). They contain extracts of DeWitts own writings, many of them gems, embedd |
Note: | Springer eBooks |
Contents: | I. Progress in Quantum Physics since the Lamb Shift calculations |
II. Progress in Gravitation since Black Holes came to preeminence | |
III. Bryce DeWitts Pursuit of Quantum Gravity | |
IV. Bibliography | |
ISBN: | 9783642142703 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Science Philosophy , Quantum theory |
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Title: | Crossroads: History of Science, History of Art [electronic resource] : Essays by David Speiser, vol. II |
Author(s): |
Kim Williams |
Date: | 2011 |
Publisher: | Basel : Springer Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This collection of essays on relationships between science, history of science, history of art and philosophy is a multi-faceted sequel to the first volume, Discovering the Principles of Mechanics 1600-1800, publishedin 2008. During his car eer, David Speiser was first and foremost a theoretical physicist with first-hand knowledge of how fundamental research is carried out, but he was also a historian of science and editor of historical writings aswell as a keen observer of works of art and architecture. In these essays he compares and contrasts artistic creations with scientific discoveries, the work of the artist and that ofthe scientist, and process of analysis of the arthistorian to that of the historian of science. What is revealed is h ow the limits of individual disciplines can be pushed and sometimes completely overcome as the result of input from and interactions with other fields, and howprogress may even be impossible without such interactions. The reflections elucidated here refut e the idea, so engrained in our thinking today, of the two cultures, and underline the unity rather than the diversity inherent increative thought both scientific and artistic. Contained here are ten papers, all newly edited with updated references, four of which have been translated into English for the first time, and completed with an index of names. Intendedfor the specialist and non-specialist alike, these essays set before us a feast of ideas. |
Note: | Springer eBooks |
Contents: | Foreword |
Editors Note | |
The Symmetry of the Ornament on a Jewel of the Treasure of Mycenae | |
Arab and Pisan Mathematics in the Piazza dei Miracoli | |
Architecture, Mathematics and Theology in Raphael's Paintings | |
What can the Historian of Science Learn from the Historian of the Fine Arts? | |
The Importance of Concepts for Science | |
Remarks on Space and Time in Newton, Leibniz, Euler and in Modern Physics | |
Gruppentheorie und Quantenmechanik: The Book and its Position in Weyl's Work | |
Clifford A. Truesdell's Contributions to the Euler and the Bernoulli Editions | |
Publishing Complete | |
ISBN: | 9783034801393 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Architecture |
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Call number: | SPRINGER-2011-9781461418061:ONLINE Show nearby items on shelf |
Title: | Mathematics of Complexity andDynamical Systems [electronic resource] |
Author(s): |
Robert A Meyers |
Date: | 2011 |
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: | Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complexsystems are systems that c omprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. Thesesystems are often characterized by extreme sensi tivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single sourcework provide a comprehensive explication of the theory and applicatio ns of mathematical complexity, covering ergodic theory, fractals and multifracticals, dynamical systems, perturbation theory, solitons, systems and control theory,and related topics. Mathematics of Complexity and Dynamical Systems is an essential referenc e for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers |
Note: | Springer eBooks |
Contents: | Ergodic Theory |
Three Editor | |
in | |
Chief Selections: Catastrophe Theory Infinite Dimensional Controllability Philosophy of Science, Mathematical Models In | |
Fractals and Multifractals | |
Non | |
linear Ordinary Differential Equations and Dynamical Systems | |
Non | |
Linear Partial Differential Equations | |
Perturbation Theory | |
Solitons | |
Systems and Control Theory | |
ISBN: | 9781461418061 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation , Differentiable dynamical systems , Differential Equations , Systems theory |
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Call number: | SPRINGER-2011-9781461407065:ONLINE Show nearby items on shelf |
Title: | Einstein's Theory [electronic resource] : A Rigorous Introduction for the Mathematically Untrained |
Author(s): |
yvind Grn Arne Nss |
Date: | 2011 |
Edition: | 1 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the bookstarts at a lower mat hematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductionsare given, for example vector calculus, dif ferential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, theconceptual development is gradual and rigorous in order to provide th e inexperienced reader with a philosophically satisfying understanding of the theory. Einstein's Theory: A Rigorous Introduction for the MathematicallyUntrainedaims toprovide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativisticeffects |
Note: | Springer eBooks |
Contents: | Vectors |
Differential calculus | |
Tangent vectors | |
Curvilinear coordinate systems | |
The metric tensor | |
The Christoffel symbols | |
Covariant differentiation | |
Geodesics | |
Curvature | |
Conservation laws of classical mechanics | |
Einsteins field equations | |
Einsteins theory of spacetime and gravitation | |
Some applications | |
Relativistic universe models | |
ISBN: | 9781461407065 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Science Philosophy , Astronomy |
Availability: | Click here to see Library holdings or inquire at
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Call number: | SPRINGER-2011-9781441979407:ONLINE Show nearby items on shelf |
Title: | Introduction to Topological Manifolds [electronic resource] |
Author(s): |
John M Lee |
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 book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry,algebraic topology, and re lated fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. Although this second edition has the same basicstructure as the first edition, it has been extensivel y revised and clarified not a single page has been left untouched. The major changes include a new introduction to CW complexes (replacing most of the material on simplicialcomplexes in Chapter 5) expanded treatments of manifolds with boundary, local comp actness, group actions, and proper maps and a new section on paracompactness. This text is designed to be used for an introductory graduate course onthe geometry and topology of manifolds. It should be accessible to any student who has completed a solid u ndergraduate degree in mathematics. The authors book Introduction to Smooth Manifolds is meant to act as a sequel to thisbook |
Note: | Springer eBooks |
Contents: | Preface |
1 Introduction | |
2 Topological Spaces | |
3 New Spaces from Old | |
4 Connectedness and Compactness | |
5 Cell Complexes | |
6 Compact Surfaces | |
7 Homotopy and the Fundamental Group | |
8 The Circle | |
9 Some Group Theory | |
10 The Seifert | |
Van Kampen Theorem | |
11 Covering Maps | |
12 Group Actions and Covering Maps | |
13 Homology | |
Appendix A: Review of Set Theory | |
Appendix B: Review of Metric Spaces | |
Appendix C: Review of Group Theory | |
References | |
Notation Index | |
Subject Index | |
ISBN: | 9781441979407 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Mathematics, 0072-5285 : v202 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebraic topology , Cell aggregation Mathematics |
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Call number: | SPRINGER-2011-9780817647353:ONLINE Show nearby items on shelf |
Title: | Higher Structures in Geometry and Physics [electronic resource] : In Honor of Murray Gerstenhaber and Jim Stasheff |
Author(s): |
Alberto S Cattaneo Anthony Giaquinto Ping Xu |
Date: | 2011 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics such as algebra, algebraic topology, differentialgeometry, algebraic geome try, mathematical physics and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformationquantization, theory of algebroids and groupoids, symplec tic field theory, and much more. The ideas of higher homotopies and algebraic deformation have a growing number of theoretical applications and have played a prominent role inrecent mathematical advances. For example, algebraic versions of higher homotopi es have led eventually to the proof of the formality conjecture and the deformation quantization of Poisson manifolds. As observed in deformations anddeformation philosophy, a basic observation is that higher homotopy structures behave much better than st rict structures. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. Higher Structures in Geometryand Physics is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures. Contributors: L. Breen, A.S. Cattaneo, M. Cahen, V.A. Dolgushev, G. Felder, A. Giaquinto,S. Gutt, J. Huebschmann, T. Kadeishvili, H. Kajiura, B. Keller, Y. Kosmann-Schwarzbach, J.-L. Loday, S.A. Merkulov, D. Sternheimer, D.E. Tamarkin, C. Torossian, B.L. Tsygan, S. Waldmann, R.N. Umble |
Note: | Springer eBooks |
Contents: | Topics in Algebraic deformation theory |
Origins and breadth of the theory of higher homotopies | |
The deformation philosophy, quantization and noncommutative space | |
time structures | |
Differential geometry of Gerbes and differential forms | |
Symplectic connections of Ricci type and star products | |
Effective BatalinVilkovisky theories, equivariant configuration spaces and cyclic chains | |
Noncommutative calculus and the Gauss | |
Manin connection | |
The Lie algebra perturbation lemma | |
Twisting Elements in Homotopy G | |
algebras | |
Homological perturbation theory and homological mirror symmetry | |
ISBN: | 9780817647353 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematics : v287 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Group theory , Topological Groups , Mathematical physics |
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Call number: | SPRINGER-2011-9780817646950:ONLINE Show nearby items on shelf |
Title: | Ancient Indian Leaps into Mathematics [electronic resource] |
Author(s): |
B.S Yadav Man Mohan |
Date: | 2011 |
Publisher: | Boston, MA : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are availablein the literature, In dian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation ofnumbers, have made lasting contributions to the foundation of modern mathematics. Key topics include: The work of two well-known Indian mathematicians: Brahmagupta and Bhaskaracharya The relationship of Indian mathematics to themathematics of China and Greece The transmission of mathematical ide as between the Western and non-Western world A study of Keralese mathematics and coverage of the techniques used in the ulbastras The calendrical calculations,complete with computer programs, enabling readers to determine Indian dates. Ancient Indian Leap s into Mathematics examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and WesternEurope. Through a systematic approach, it gives an historical account of ancient Indian mathematical traditions and their influence on other parts of the world |
Note: | Springer eBooks |
Contents: | Foreword |
Prelude | |
Indian Mathematics in the Medieval Islamic World | |
Brahmagupta: the Ancient Indian Mathematician | |
Indian Calendrical Calculations | |
Indias contributions to Chinese Mathematics up to the Eighth Century A.D | |
Some Discussions about how Indian Trigonometry affected Chinese Calendar | |
Calculation in the Tang Dynasty | |
On the Application of Areas in the Sulbasutra | |
Indian Mathematical Tradition with special reference to Kerala: Methodology and Motivations | |
Mainland South | |
East Asia as a Crossroad of Chinese and Indian Astronomy | |
Mathematical Literature in the Reg | |
ISBN: | 9780817646950 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Philosophy, modern |
Availability: | Click here to see Library holdings or inquire at
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Call number: | SPRINGER-2011-9780387848266:ONLINE Show nearby items on shelf |
Title: | A Survey of the Almagest [electronic resource] With Annotation and New Commentary by Alexander Jones |
Author(s): |
Olaf Pedersen Alexander Jones |
Date: | 2011 |
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: | The Almagest, by the Greek astronomer and mathematician Ptolemy, is the most important surviving treatise on early mathematical astronomy, offering historians valuable insight into the astronomy and mathematics of the ancientworld. Pedersen's 1974 pu blication, A Survey of the Almagest, is the most recent in a long tradition of companions to the Almagest. Part paraphrase and part commentary, Pedersens work has earned the universal praise ofhistorians and serves as the definitive introductory text for students interested in studying the Almagest. In this revised edition, Alexander Jones, a distinguished authority on the history of early astronomy, providessupplementary information and commentary to the original text to account for scholarship that has appeared since 1974. This revision also incorporates various corrections to Pedersen's original text that have been identified since itspublication. This volume is intended to provide students of the history of astronomy with a self-contained introduction to the Almagest, helping them to understand and appreciate Ptolemys great and classical work. From thereviews of A Survey of the Almagest: Pedersen has performed his analysis with great care and technical accuracy. [The book] is written dearly and conci sely. It certainly achieves its aim of making the 'Almagest' accessibleand understandable to students of the history of astronomy. G. J. Toomer, Archives Internationales dHistoire des Sciences The organization of the 'Survey' is done in such a brilliant style that makes the technicallyprohibiting text of the 'Almagest' an enjoyable reading within a clear historical perspective George A. Saliba, Centaurus ['A Survey of the Almagest'] is a mine of well-organized, well-documented, carefully cross-indexedi nformation. Indeed, the general reader will find it an eye-opening introduction to Greek mathematics Victor E. Thoren, Isis |
Note: | Springer eBooks |
Contents: | Forward to the revised edition |
Preface | |
The almagest through the ages | |
Physics and philosophy in the almagest | |
Ptolemy as a mathematician | |
Spherical astronomy in the almagest | |
The motion of the sun | |
The theories of the moon | |
Parallaxes and eclipses | |
The fixed stars | |
The superior planets | |
The inferior planets | |
Retrograde motions and maximum elongations | |
Latitudes and visibility periods | |
Epilogue | |
the other ptolemy | |
Apendix A: dated observations | |
Appendix B: numerical parameters | |
Bibliography | |
Index of names | |
Index of subjects | |
Supplementary notes | |
Sup | |
ISBN: | 9780387848266 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Sources and Studies in the History of Mathematics and Physical Sciences |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics |
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Call number: | SPRINGER-2010-9783642106545:ONLINE Show nearby items on shelf |
Title: | Polystochastic Models for Complexity [electronic resource] |
Author(s): |
Octavian Iordache |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is devoted to complexity understanding and management, considered as the main source of efficiency and prosperity for the next decades. Divided into six chapters, the book begins with a presentation of basic concepts ascomplexity, emergence and closure. The second chapter looks to methods and introduces polystochastic models, the wave equation, possibilities and entropy. The third chapter focusing on physical and chemical systems analyzes flow-sheetsynthesis, cyclic operations of separation , drug delivery systems and entropy production. Biomimetic systems represent the main objective of the fourth chapter. Case studies refer to bio-inspired calculation methods, to the role ofartificial genetic codes, neural networks and neural codes for evo lutionary calculus and for evolvable circuits as biomimetic devices. The fifth chapter, taking its inspiration from systems sciences and cognitive sciences looks toengineering design, case base reasoning methods, failure analysis, and multi-agent manufact uring systems. Perspectives and integrative points of view are discussed in the sixth chapter with reference to the classification of sciences,cybernetics and its extensions, and to transdisciplinarity and categorification. Written for: engineers, researc hers, and students in chemical, biochemical, computing and systems science engineering, in neuroscience, psychology,philosophy and mathematics |
Note: | Springer eBooks |
Contents: | Methods |
Physical and chemical systems | |
Biosystems and bioinspired systems | |
Systems sciences and cognitive systems | |
Perspectives | |
ISBN: | 9783642106545 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Artificial intelligence , Differentiable dynamical systems |
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Call number: | SPRINGER-2010-9781848829398:ONLINE Show nearby items on shelf |
Title: | Topics in Physical Mathematics [electronic resource] |
Author(s): |
Kishore Marathe |
Date: | 2010 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The roots of physical mathematics can be traced back to the very beginning of man's attempts to understand nature. Indeed, mathematics and physics were part of what was called natural philosophy. Rapid growth of thephysical sciences, aided by technol ogical progress and increasing abstraction in mathematical research, caused a separation of the sciences and mathematics in the 20th century. Physicists methods were often rejected bymathematicians as imprecise, and mathematicians approach to physical the ories was not understood by the physicists. However, two fundamental physical theories, relativity and quantum theory, influenced new developments in geometry,functional analysis and group theory. The relation of Yang-Mills theory to the theory of connect ions in a fiber bundle discovered in the early 1980s has paid rich dividends to the geometric topology of low dimensional manifolds. Aimedat a wide audience, this self-contained book includes a detailed background from both mathematics and theoretical phy sics to enable a deeper understanding of the role that physical theories play in mathematics. Whilst the fieldcontinues to expand rapidly, it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader to their next point of exploration in this vast and exciting landscape |
Note: | Springer eBooks |
Contents: | Algebra |
Topology | |
Manifolds | |
Bundles and Connections | |
Characteristic Classes | |
Theory of Fields, I: Classical | |
Theory of Fields, II: Quantum and Topological | |
YangMillsHiggs Fields | |
4 | |
Manifold Invariants | |
3 | |
Manifold Invariants | |
Knot and Link Invariants | |
ISBN: | 9781848829398 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Field theory (Physics) , Global analysis , Global differential geometry , Topology , Cell aggregation Mathematics |
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Call number: | SPRINGER-2010-9781441912213:ONLINE Show nearby items on shelf |
Title: | A Concise Introduction to Mathematical Logic [electronic resource] |
Author(s): |
Wolfgang Rautenberg |
Date: | 2010 |
Edition: | 3 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to the Stoics and to Aristotle. Mathematical logic, however, is a relatively young discipline and arose from theendeavors of Peano, Frege, an d others to create a logistic foundation for mathematics. It steadily developed during the twentieth century into a broad discipline with several sub-areas and numerous applications in mathematics,informatics, linguistics and philosophy. This book treats the most important material in a concise and streamlined fashion. The third edition is a thorough and expanded revision of the former. Although the book is intended for use as agraduate text, the first three chapters can easily be read by undergraduates i nterested in mathematical logic. These initial chapters cover the material for an introductory course on mathematical logic, combined with applications offormalization techniques to set theory. Chapter 3 is partly of descriptive nature, providing a view t owards algorithmic decision problems, automated theorem proving, non-standard models including non-standard analysis, and relatedtopics. The remaining chapters contain basic material on logic programming for logicians and computer scientists, model theory , recursion theory, Gdels Incompleteness Theorems, and applications of mathematical logic. Philosophicaland foundational problems of mathematics are discussed throughout the text. Each section of the seven chapters ends with exercises some of which of imp ortance for the text itself. There are hints to most of the exercises in a separatefile Solution Hints to the Exercises which is not part of the book but is available from the authors website |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Notation | |
Propositional Logic | |
First | |
Order Logic | |
Complete Logical Calculi | |
Foundations of Logical Programming | |
Elements of Model Theory | |
Incompleteness and Undecidability | |
On the Theory of Self | |
Reference | |
Bibliography | |
Index of Terms and Names | |
Index of Symbols | |
ISBN: | 9781441912213 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2010-9781402057649:ONLINE Show nearby items on shelf |
Title: | Handbook of Set Theory [electronic resource] |
Author(s): |
Matthew Foreman Akihiro Kanamori |
Date: | 2010 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its research directions. Set theory has entered its prime as an advanced and autonomous field of mathematicswith foundational sign ificance, and the expanse and variety of this handbook attests to the richness and sophistication of the subject. The chapters are written by acknowledged experts, major research figures in their areas, and theyeach bring to bear their experience and insi ghts in carefully wrought, self-contained expositions. There is historical depth, elegant development, probing to the frontiers, and prospects for the future. This handbook is essentialreading for the aspiring researcher, a pivotal focus for the veteran s et theorist, and a massive reference for all those who want to gain a larger sense of the tremendous advances that have been made in the subject, one which firstappeared as a foundation of mathematics but in the last several decades has expanded into a br oad and far-reaching field with its own self-fueling initiatives |
Note: | Springer eBooks |
ISBN: | 9781402057649 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Logic , Science Philosophy , Logic, Symbolic and mathematical |
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Location: | ONLINE |
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