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Call number: | 9783319463162:ONLINE Show nearby items on shelf |
Title: | Making Beautiful Deep-Sky Images Astrophotography with Affordable Equipment and Software |
Author(s): |
Greg Parker |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XII, 189 p. 87 illus. in color p.) |
Contents: | How did I start? -- The Beginning – and a Serious Health Warning! -- Assembling your Imaging System -- Computational Considerations – Data Acquisition and Image Processing -- A Permanent Setup -- First Light – Choosing your Objects -- |
First Light – your First Objects -- Wide-Field Imaging with a Short Focal Length Refractor -- Hyperstar III Imaging -- Parallel Imaging with an Array -- Fundamentals of Image Processing -- Processing Professional Data -- The Deep-Sky | |
Images -- Differentiating your Work -- Your Largest Resource -- Book Recommendations -- Appendix 1 -- Appendix 2 -- Physics World Article -- Greg Parker -- Postscript to the 2nd Edition -- Index | |
ISBN: | 9783319463162 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Popular works , Photography , Image processing , Observations, Astronomical , Astronomy , Astronomy , Popular Science , Popular Science in Astronomy , Astronomy, Observations and Techniques , Image Processing and Computer Vision , Photography |
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Call number: | 1118969146:ONLINE Show nearby items on shelf |
Title: | Beginning Software Engineering |
Author(s): |
Stephens |
Date: | 2015 |
Publisher: | Wrox |
Size: | 1 online resource (481 p.) |
ISBN: | 9781118969144 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Computer Science |
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Call number: | 1118903331:ONLINE Show nearby items on shelf |
Title: | Beginning JavaScript, 5th Edition |
Author(s): |
McPeak |
Date: | 2015 |
Publisher: | Wrox |
Size: | 1 online resource (769 p.) |
ISBN: | 9781118903339 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Computer Science |
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Call number: | 1118739493:ONLINE Show nearby items on shelf |
Title: | Beginning Java Programming: The Object-Oriented Approach |
Author(s): |
Baesens |
Date: | 2015 |
Publisher: | Wrox |
Size: | 1 online resource (673 p.) |
ISBN: | 9781118739495 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Computer Science |
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Call number: | 1118368088:ONLINE Show nearby items on shelf |
Title: | Ivor Horton's Beginning Visual C++ 2012 |
Author(s): |
Horton |
Date: | 2012 |
Publisher: | Wrox |
Size: | 1 online resource (943 p.) |
ISBN: | 9781118368084 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Computer Science |
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Call number: | 0470500883:ONLINE Show nearby items on shelf |
Title: | Ivor Horton's Beginning Visual C++ 2010 |
Author(s): |
Horton |
Date: | 2010 |
Publisher: | Wrox |
Size: | 1 online resource (1232 p.) |
ISBN: | 9780470500880 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Computer Science |
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Call number: | 0470133902:ONLINE Show nearby items on shelf |
Title: | Beginning Partial Differential Equations, Second Edition |
Author(s): |
O'Neil |
Date: | 2008 |
Publisher: | Wiley-Interscience |
Size: | 1 online resource (497 p.) |
ISBN: | 9780470133903 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mathematics |
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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-2016-9783319227443:ONLINE Show nearby items on shelf |
Title: | The History of the Universe |
Author(s): |
David H Lyth |
Date: | 2016 |
Size: | 1 online resource (14 p.) |
Note: | 10.1007/978-3-319-22744-3 |
Contents: | The universe -- Before we begin -- The fundamental theories -- Atoms and electromagnetism -- The present universe -- Collisions and decays -- A first look at the history -- Energy density of the universe -- In the beginning -- Onward |
to the present -- The imperfect universe -- Ripples in the universe -- Formation of galaxies and clusters -- The Higgs field -- Inflation -- Generating the perturbations -- Prehistory of the Big Bang -- What about us?. | |
ISBN: | 9783319227443 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Popular works , Cosmology , Astronomy , Popular Science , Popular Science in Astronomy , Cosmology |
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Call number: | SPRINGER-2014-9789401786850:ONLINE Show nearby items on shelf |
Title: | A Course in Lens Design [electronic resource] |
Author(s): |
Chris Velzel |
Date: | 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | A Course in Lens Design is an instruction in the design of image-forming optical systems. It teaches how a satisfactory design can be obtained in a straightforward way. Theory is limited to a minimum, and used to support thepractical design work. The book introduces geometrical optics, optical instruments and aberrations. It gives a description of the process of lens design and of the strategies used in this process. Half of its content is devoted to thedesign of sixteen types of lenses, described in detail from beginning to end. This book is different from most other books on lens design because it stresses the importance of the initial phases of the design process: (paraxial)lay-out and (thin-lens) pre-design. The argument for this change of accent is that in these phases much information can be obtained about the properties of the lens to be designed. This information can be used in later phases of thedesign. This makes A Course in Lens Design a useful self-study book, and a suitable basis for an introductory course in lens design. The mathematics mainly used is college algebra, in a few sections calculus is applied. The book couldbe used by students of engineering and technical physics, and by engineers and scientists |
Contents: | Preface |
1 Geometrical Optics | |
2 Optical instruments (paraxial approximation) | |
3 Aberrations | |
4 Lens design process | |
5 Design strategies | |
6 Design examples | |
References | |
List of exercises | |
Index | |
ISBN: | 9789401786850 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Series in Optical Sciences, 0342-4111 : v183 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Microwaves |
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Call number: | SPRINGER-2014-9788847053526:ONLINE Show nearby items on shelf |
Title: | Imminent Science [electronic resource] : What Remains to be Discovered |
Author(s): |
Giovanni F Bignami |
Date: | 2014 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | This is not a piece of science fiction. Its a voyage along the arrow of time to encounter the discoveries of the coming fifty years. The legendary palindromic character, Mr. Qfwfq, from Italo Calvinos The Cosmicomicswillgo with us: he who knows all t he answers, but will give out no hints. He goads imagination onwards and corrects customs by laughing. He will help us discover the innovations that will have changed our lives (and those of ourdescendants) in 2062, when, riding astride Halleys comet, our omniscient extraterrestrial will be back to visit us. What is left for us to understand and to explore is 96% of the Universe. There is still a long way to travel, butstep by step we shall go deeper and deeper into the study of our Earth in order to expl oit, for instance, the immense thermal energy that lies beneath our feet. We shall solve anotherenigmain todays science, as big as the BigBang the origin of life also by creating itex nihilo.We shall learn how to buildadirect contact between our brain ( which is made like a three-flavored ice-cream cone) and the rest of the world: had Cicero and Mozartlived tomorrow, they would have been happy with the invention of a USB keyto beimplanted behind their ears, for an immediate transcript of speeches and mus ic. By means of genetics we shall obtain the talents of lizards, whichregenerate their lost tails, or of Methuselah flies, which live four times longer than other flies. And shortly before Halleys 2062 passage, the baby will be born who will see it three times, by living for over 150 years. But thefuture is made mainly by the appropriate tools, beginning with maths. Solving the problem of prime numbers would send all cash machines off their rocker, thus emptying our bank accounts overnight. The solution t o the equation of fluidswill teach us how to carry an iceberg from Greenland to Sicily, thus supplying fresh water at a low cost. Meatculture growing steaks re |
Contents: | A few recent Discoveries |
Is someone out there? | |
Understanding Matter and Energy in the Universe | |
All the Energy Youve ever dreamt of | |
Life: on Earth and elsewhere | |
A voice recorder for Cicero and a USB Key for Mozart | |
Genetics, Longevity and Methuselah flies | |
Tools of the Trade for shaping the Future | |
ISBN: | 9788847053526 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy , Astrophysics |
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Call number: | SPRINGER-2014-9783642545931:ONLINE Show nearby items on shelf |
Title: | Neural Fields [electronic resource] : Theory and Applications |
Author(s): |
Stephen Coombes Peter beim Graben Roland Potthast James Wright |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | With this book, the editors present the first comprehensive collection in neural field studies, authored by leading scientists in the field - among them are two of the founding-fathers of neural field theory. Up to now, researchresults in the field h ave been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. Starting with a tutorial for novices in neural field studies, thebook comprises chapters on emergent pattern s, their phase transitions and evolution, on stochastic approaches, cortical development, cognition, robotics and computation, large-scale numerical simulations, the coupling of neural fieldsto the electroencephalogram and phase transitions in anesthesia. The intended readership are students and scientists in applied mathematics, theoretical physics, theoretical biology, and computational neuroscience. Neural field theoryand its applications have a long-standing tradition in the mathematical and computati onal neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan,Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Bressloff, Haken, and Wright. Since then, much progress has been made in both, the development of mathematical andnumerical techniques, and in physiological refinement and understanding. In contrast to large-scale neural network models desc ribed by huge connectivity matrices that are computationally expensive in numerical simulations, neural fieldmodels described by connectivity kernels allow for analytical treatment by means of functional analysis methods. Thus, a number of rigorous result s on the existence of bump and wave solutions or on inverse kernel construction problemsare nowadays available. Moreover, neural fields provide an important interface for the coupling of continuous neur |
Contents: | Preface |
1.Tutorial on Neural Field Theory. S. Coombes, P. beim Graben and R. Potthast | |
Part I Theory of Neural Fields | |
2.A Personal Account of the Development of the Field Theory of Large | |
Scale Brain Activity from 1945 Onward. J. Cowan | |
3.HeavisideWorld: Excitation and Self | |
Organization of Neural Fields. Shun | |
ichi Amari | |
4.Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation. G.B. Ermentrout, S.E. Folias and Z.P. Kilpatrick | |
5.PDE Methods for Two | |
Dimensional Neural Fields. C.R. Laing | |
6.Numerical Simulation Scheme of One | |
and Two Dimensional Neural Fields Inv | |
ISBN: | 9783642545931 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Functional analysis , Integral equations , Consciousness |
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Call number: | SPRINGER-2014-9783642179747:ONLINE Show nearby items on shelf |
Title: | A Trajectory Description of Quantum Processes. II. Applications [electronic resource] : A Bohmian Perspective |
Author(s): |
ngel S Sanz Salvador Miret-Arts |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of classical concepts. Beginning as an introductory level suitable for students, this two-volumemonograph presents (1) the fundame ntals and (2) the applications of the trajectory description of basic quantum processes. This second volume is focussed on simple and basic applications of quantum processes such as interference anddiffraction of wave packets, tunneling, diffusion and bou nd-state and scattering problems. The corresponding analysis is carried out within the Bohmian framework. By stressing its interpretational aspects, the book leads the reader toan alternative and complementary way to better understand the underlying quant um dynamics |
Contents: | Wave |
Packet Dynamics: The Free | |
Particle Physics | |
Quantum Interference and Superposition | |
Interference and Interferometry | |
Bound System Dynamics | |
Tunneling Dynamics | |
Atom Scattering from Periodic Surfaces | |
Scattering from Surface Defects and Activated Diffusion | |
Many | |
Body Systems and Quantum Hydrodynamics | |
Epilogue | |
Index | |
ISBN: | 9783642179747 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Physics, 0075-8450 : v831 |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2014-9783319067285:ONLINE Show nearby items on shelf |
Title: | Functional Analysis [electronic resource] : An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras |
Author(s): |
Joseph Muscat |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonovregularization, shoul d appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers themain topics, based upon the classical seque nce and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis the latter is redone in the light of metric spaces. Itcontains more than a thousand worked examples and exercises, which mak e up the main body of the book |
Contents: | Introduction |
Distance | |
Convergence and Continuity | |
Completeness and Separability | |
Connectedness | |
Compactness | |
Normed Spaces | |
Continuous Linear Maps | |
Main Examples | |
Hilbert Spaces | |
Banach Spaces | |
Differentiation and Integration | |
Banach Algebras | |
Spectral Theory | |
C | |
Algebras | |
ISBN: | 9783319067285 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Operator theory |
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Call number: | SPRINGER-2014-9783319062099:ONLINE Show nearby items on shelf |
Title: | From Real to Complex Analysis [electronic resource] |
Author(s): |
R. H Dyer D. E Edmunds |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis. It particularly emphasises the interplay between analysis andtopology. Beginning with the theory of the Riemann integral (and its improper extension) on the real line, the fundamentals of metric spaces are then developed, with special attention being paid to connectedness, simple connectednessand various forms of homotopy. The final chapter d evelops the theory of complex analysis, in which emphasis is placed on the argument, the winding number, and a general (homology) version of Cauchy's theorem which is proved using theapproach due to Dixon. Special features are the inclusion of proofs of M ontel's theorem, the Riemann mapping theorem and the Jordan curve theorem that arise naturally from the earlier development. Extensive exercises are included ineach of the chapters, detailed solutions of the majority of which are given at the end. From Re al to Complex Analysis is aimed at senior undergraduates and beginning graduate students in mathematics. It offers a sound grounding inanalysis in particular, it gives a solid base in complex analysis from which progress to more advanced topics may be mad e |
Contents: | The Riemann integral |
Metric spaces | |
Complex Analysis | |
Sets and functions | |
ISBN: | 9783319062099 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Undergraduate Mathematics Series, 1615-2085 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions of complex variables |
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Call number: | SPRINGER-2014-9783319061306:ONLINE Show nearby items on shelf |
Title: | An Introduction to Relativistic Processes and the Standard Model of Electroweak Interactions [electronic resource] |
Author(s): |
Carlo M Becchi Giovanni Ridolfi |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | These lectures are meant to be a reference and handbook for an introductory course in Theoretical Particle Physics, suitable for advanced undergraduates or beginning graduate students. Their purpose is to reconcile theoreticalrigour and completeness with a careful analysis of more phenomenological aspects of the physics. They aim at filling the gap between quantum field theory textbooks and purely phenomenological treatments of fundamental interactions. Thefirst part provides an introduction to scatt ering in relativistic quantum field theory. Thanks to an original approach to relativistic processes, the relevant computational techniques are derived cleanly and simply in thesemi-classical approximation. The second part contains a detailed presentation of the gauge theory of electroweak interactions with particular focus to the processes of greatest phenomenological interest. The main novelties of thepresent second edition are a more complete discussion of relativistic scattering theory and an expansio n of the study of the corrections to the semi-classical approximation, including important processes in LHC physics. The extensionof the standard model to include neutrino masses and oscillations is also discussed, and updated with new results |
Contents: | Introduction |
Relativistic field theory | |
Scattering theory | |
Feynman | |
Spinor fields | |
Gauge symmetries | |
The standard model | |
Spontaneous breaking of the gauge symmetry | |
Breaking of accidental symmetries | |
Summary | |
Applications | |
Neutrino masses and mixing | |
A. Large | |
time evolution of the free field | |
B. Scattering from an external density | |
C. Dirac matrices | |
D. Violation of unitarity in the Fermi theory | |
References | |
ISBN: | 9783319061306 |
Series: | eBooks |
Series: | SpringerLink |
Series: | UNITEXT for Physics, 2198-7882 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2014-9783319052601:ONLINE Show nearby items on shelf |
Title: | Excel 2010 for Health Services Management Statistics [electronic resource] : A Guide to Solving Practical Problems |
Author(s): |
Thomas J Quirk Simone Cummings |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This is the first book to show the capabilities of Microsoft Excel to teach health services management statistics effectively. It is a step-by-step exercise-driven guide for students and practitioners who need to master Excel tosolve practical health services management problems. If understanding statistics isnt your strongest suit, you are not especially mathematically-inclined, or if you are wary of computers, this is the right book for you. Excel, awidely available computer program for students a nd managers, is also an effective teaching and learning tool for quantitative analyses in health services management courses. Its powerful computational ability and graphical functionsmake learning statistics much easier than in years past. However, Excel 2010 for Health Services Management Statistics: A Guide to Solving Practical Problems is the first book to capitalize on these improvements by teaching studentsand managers how to apply Excel to statistical techniques necessary in their courses and work. Each chapter explains statistical formulas and directs the reader to use Excel commands to solve specific, easy-to-understand healthservices management problems. Practice problems are provided at the end of each chapter with their solutions in an Append ix. Separately, there is a full Practice Test (with answers in an Appendix) that allows readers to test what theyhave learned. Includes 160 illustrations in color Suitable for upper undergraduates or graduate students At the beginning of his academic c areer, Prof. Quirk spent six years in educational research at The American Institutesfor Research and Educational Testing Service. He is currently a Professor of Marketing in The Walker School of Business & Technology at Webster University in St. Louis, M issouri (USA), where he teaches Marketing Statistics, MarketingResearch, and Pricing Strategies. He holds a B.S. in Mathematics from John Carroll University, both an M.A. in Education a |
Contents: | Sample Size, Mean, Standard Deviation and StandardError of the Mean |
Random Number Generator | |
Confidence Interval About the Mean Using the TINVFunction and Hypothesis Testing | |
One | |
Group t | |
Test for the Mean | |
Two | |
Group t | |
Test of the Difference of the Means for Independent Groups | |
Correlation and Simple Linear Regression | |
Multiple Correlation and Multiple Regression | |
ANOVA | |
Appendices | |
Index | |
ISBN: | 9783319052601 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Practice of medicine |
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Call number: | SPRINGER-2014-9783319050621:ONLINE Show nearby items on shelf |
Title: | The Beginning and the End [electronic resource] : The Meaning of Life in a Cosmological Perspective |
Author(s): |
Clment Vidal |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | In this fascinating journey to the edge of science, Vidal takes on big philosophical questions: Does our universe have a beginning and an end, or is it cyclic? Are we alone in the universe? What is the role of intelligent life, ifany, in cosmic evolu tion? Grounded in science and committed to philosophical rigor, this book presents an evolutionary worldview where the rise of intelligent life is not an accident, but may well be the key to unlocking the universe'sdeepest mysteries. Vidal shows how the f ine-tuning controversy can be advanced with computer simulations. He also explores whether natural or artificial selection could hold on a cosmic scale. In perhaps his boldest hypothesis, heargues that signs of advanced extraterrestrial civilizations are already present in our astrophysical data. His conclusions invite us to see the meaning of life, evolution, and intelligence from a novel cosmological framework thatshould stir debate for years to come |
Contents: | Part IOverview of Worldviews |
The Six Dimensions of Philosophy | |
Criteria for Worldview Comparison | |
Religious, Scientific and Philosophical Worldviews | |
Part II The Beginning of the Universe | |
Origins of the Origin | |
Capturing Free Parameters | |
The Fine | |
Tuning Conjecture | |
Part III Our Future in the Universe | |
The Future of Scientific Simulations | |
Cosmological Selections | |
High Energy Astrobiology | |
Cosmological Ethics and Immortality | |
Appendix I: A Cosmic Evolutionary Worldview | |
Appendix II: Argumentative Maps | |
ISBN: | 9783319050621 |
Series: | eBooks |
Series: | SpringerLink |
Series: | The Frontiers Collection, 1612-3018 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Genetic epistemology , Astronomy |
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Call number: | SPRINGER-2014-9783319048079:ONLINE Show nearby items on shelf |
Title: | Analytic and Probabilistic Approaches to Dynamics in Negative Curvature [electronic resource] |
Author(s): |
Franoise Dal'Bo Marc Peign Andrea Sambusetti |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The work of E. Hopf and G.A. Hedlund, in the 1930s, on transitivity and ergodicity of the geodesic flow for hyperbolic surfaces, marked the beginning of the investigation of the statistical properties and stochastic behavior ofthe flow. The first cen tral limit theorem for the geodesic flow was proved in the 1960s by Y. Sinai for compact hyperbolic manifolds. Since then, strong relationships have been found between the fields of ergodic theory, analysis, andgeometry. Different approaches and new tools have been developed to study the geodesic flow, including measure theory, thermodynamic formalism, transfer operators, Laplace operators, and Brownian motion. All these different points ofview have led to a deep understanding of more general dynamical sy stems, in particular the so-called Anosov systems, with applications to geometric problems such as counting, equirepartition, mixing, and recurrence properties of theorbits. This book comprises two independent texts that provide a self-contained introduct ion to two different approaches to the investigation of hyperbolic dynamics. The first text, by S. Le Borgne, explains the method of martingalesfor the central limit theorem. This approach can be used in several situations, even for weakly hyperbolic flow s, and the author presents a good number of examples and applications to equirepartition and mixing. The second text, by F.Faure and M. Tsujii, concerns the semiclassical approach, by operator theory: chaotic dynamics is described through the spectrum of the associated transfer operator, with applications to the asymptotic counting of periodic orbits. Thebook will be of interest for a broad audience, from PhD and Post-Doc students to experts working on geometry and dynamics |
ISBN: | 9783319048079 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer INdAM Series, 2281-518X : v9 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Operator theory , Global differential geometry , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319048048:ONLINE Show nearby items on shelf |
Title: | Sub-Riemannian Geometry and Optimal Transport [electronic resource] |
Author(s): |
Ludovic Rifford |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Thebook provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields. The text is completely self-contained: the linear discussion, containing all theproofs of the stated resul ts, leads the reader step by step from the notion of distribution at the very beginning to the existence of optimal transport maps for Lipschitz sub-Riemannian structure.The combination of geometry presentedfrom an analytic point of view and of optimal tr ansport, makes the book interesting for a very large community. This set of notes grew from a series of lectures given by the author during a CIMPA school in Beirut, Lebanon |
Contents: | 1 Sub |
Riemannian structures | |
2 Sub | |
Riemannian geodesics | |
3 Introduction to optimal transport | |
Appendix AOrdinary differential equations | |
Appendix BElements of differential calculus | |
References | |
ISBN: | 9783319048048 |
Series: | eBooks |
Series: | SpringerLink |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Systems theory , Global differential geometry , Mathematical optimization |
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Call number: | SPRINGER-2014-9783319045672:ONLINE Show nearby items on shelf |
Title: | Embedded Random Matrix Ensembles in Quantum Physics [electronic resource] |
Author(s): |
V.K.B Kota |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Although used with increasing frequency in many branches of physics, random matrix ensembles are not always sufficiently specific to account for important features of the physical system at hand. One refinement which retains thebasic stochastic appro ach but allows for such features consists in the use of embedded ensembles. The present text is an exhaustive introduction to and survey of this important field. Starting with an easy-to-read introduction togeneral random matrix theory, the text then deve lops the necessary concepts from the beginning, accompanying the reader to the frontiers of present-day research. With some notable exceptions, to date these ensembles have primarily beenapplied in nuclear spectroscopy. A characteristic example is the use of a random two-body interaction in the framework of the nuclear shell model. Yet, topics in atomic physics, mesoscopic physics, quantum information science andstatistical mechanics of isolated finite quantum systems can also be addressed using these ens embles. This book addresses graduate students and researchers with an interest in applications of random matrix theory to the modeling ofmore complex physical systems and interactions, with applications such as statistical spectroscopy in mind. |
Contents: | Introduction |
Classical Random Matrix Ensembles | |
Interpolating and other Extended Classical Ensembles | |
Embedded GOE for Spinless Fermion Systems: EGOE (2) and EGOE (k) | |
Random Two | |
Body Interactions in Presence of Mean | |
Field: EGOE (1+2) | |
One Plus Two | |
Body Random Matrix Ensembles for Fermions With Spin | |
Degree of Freedom: EGOE (1+2) | |
s | |
Applications of EGOE(1+2) and EGOE(1+2) | |
s | |
One Plus Two | |
body Random Matrix Ensembles with Parity: EGOE(1+2) | |
192 | |
Embedded GOE Ensembles for Interacting Boson Systems: BEGOE (1+2) for Spinless Bosons | |
Embedded GOE Ensembles for Interacting Boso | |
ISBN: | 9783319045672 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Physics, 0075-8450 : v884 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Mathematical physics , Nuclear physics |
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Call number: | SPRINGER-2014-9783319039404:ONLINE Show nearby items on shelf |
Title: | The Liber mahameleth [electronic resource] : A 12th-century mathematical treatise |
Author(s): |
Jacques Sesiano |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The Liber mahameleth is a work in Latin written in the mid-12th century based (mainly) on Arabic sources from Islamic Spain. It is now our principal source on mathematics in Islamic Spain at that time There are few extant Arabictexts and no one is as complete as the LM. It is also the second largest mathematical work from the Latin Middle Ages (the other is by Fibonacci, some 50 years later). Since the three main manuscripts preserving it are incomplete andthere are many scribal errors, a reliable La tin text has been established, which reports (in notes) the various readings of the manuscripts and the errors in them. This is how a so-called critical edition is made. This edition of theLatin text is preceded by General Introduction, describing the var ious manuscripts, the content of the work and what we know about its author. Part Two of the volume is a translation of the text and ends with a glossary of Latin terms.The glossary will be of great importance for the knowledge of Latin scientific terms f rom that time, since there is no other mathematical text of this size from the 12th century.Part Three begins with a short introduction and thenanalyzes all the problems from the text, with a summary of the mathematical methods involved in each chapter. T he commentary is a companion to the translation and explains the author's solving methods |
Contents: | Part I |
1. The rebirth of mathematics in mediaeval Europe | |
2. The Liber mahameleth | |
3. Manuscripts of the Liber mahameleth | |
4. Transmission of the Liber mahameleth | |
5. Mathematics in the Liber mahameleth | |
6. The edited Latin text | |
Part II | |
Translation | |
Beginning of the Book (on) mahameleth | |
A | |
I. on Numbers | |
A | |
II. on the Premisses necessary for practical arithmetic | |
A | |
III. on Multiplication | |
A | |
IV. on Division | |
A | |
V. on the Multiplication of fractions | |
A | |
VI. on the Addition of fractions to fractions | |
A | |
VII. on Subtracting | |
A | |
VIII. on the Division of fractions, wi | |
ISBN: | 9783319039404 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Sources and Studies in the History of Mathematics and Physical Sciences, 2196-8810 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Sequences (Mathematics) , Geometry |
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Call number: | SPRINGER-2014-9783319030869:ONLINE Show nearby items on shelf |
Title: | Mathematical Modeling and Signal Processing in Speech and Hearing Sciences [electronic resource] |
Author(s): |
Jack Xin Yingyong Qi |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The aim of the book is to give an accessible introduction of mathematical models and signal processing methods in speech and hearing sciences for senior undergraduate and beginning graduate students with basic knowledge of linearalgebra, differential equations, numerical analysis, and probability. Speech and hearing sciences are fundamental to numerous technological advances of the digital world in the past decade, from music compression in MP3 to digitalhearing aids, from network based voice enabled services to speech interaction with mobile phones. Mathematics and computation are intimately related to these leaps and bounds. On the other hand, speech and hearing are stronglyinterdisciplinary areas where dissimilar scientific and engineering publica tions and approaches often coexist and make it difficult for newcomers to enter |
Contents: | 1 Background Signal Processing, Statistical and Optimization Methods |
2 Speech Modeling | |
3 Auditory Modeling | |
4 Speech Recognition | |
5 Blind Source Separation and Speech Enhancement | |
ISBN: | 9783319030869 |
Series: | eBooks |
Series: | SpringerLink |
Series: | MS&A - Modeling, Simulation and Applications, 2037-5255 : v10 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Computer simulation |
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Call number: | SPRINGER-2014-9783319028309:ONLINE Show nearby items on shelf |
Title: | Excel 2010 for Engineering Statistics [electronic resource] : A Guide to Solving Practical Problems |
Author(s): |
Thomas J Quirk |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This is the first book to show the capabilities of Microsoft Excel to teach engineering statistics effectively. It is a step-by-step exercise-driven guide for students and practitioners who need to master Excel to solvepractical engineering problems. If understanding statistics isnt your strongest suit, you are not especially mathematically-inclined, or if you are wary of computers, this is the right book for you. Excel, a widely availablecomputer program for students and managers, is also an effecti ve teaching and learning tool for quantitative analyses in engineering courses. Its powerful computational ability and graphical functions make learning statistics mucheasier than in years past. However, Excel 2010 for Engineering Statistics: A Guide to S olving Practical Problems is the first book to capitalize on these improvements by teaching students and managers how to apply Excel tostatistical techniques necessary in their courses and work. Each chapter explains statistical formulas and directs the r eader to use Excelcommands to solve specific, easy-to-understand engineering problems. Practice problems are provided at the end of each chapter with their solutions in an Appendix. Separately, there is a full Practice Test (with answers in anAppendix) th at allows readers to test what they have learned. Includes 159 Illustrations in color Suitable for upper undergraduates or graduate students At the beginning of his academic career, Prof. Quirk spent six years ineducational research at The American Instit utes for Research and Educational Testing Service. He then taught Social Psychology, Educational Psychology, General Psychology, Marketing, Management, and Accounting at Principia College,and is currently a Professor of Marketing in the George Herbert Wal ker School of Business & Technology at Webster University based in St. Louis, Missour |
Contents: | Introduction |
Sample size, mean, standard deviation, standard error of the mean | |
Random number generator | |
Confidence interval about the mean using the TINV function and hypothesis testing | |
One | |
group t | |
test for the mean | |
Two | |
group t | |
test of the difference of the means for independent groups | |
Correlation and simple linear regression | |
Multiple correlation and multiple regression | |
One | |
way analysis of variance (ANOVA) | |
Appendix A | |
Appendix B | |
Appendix C | |
Appendix D | |
Appendix E | |
Index | |
ISBN: | 9783319028309 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematical statistics |
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Call number: | SPRINGER-2014-9783319027449:ONLINE Show nearby items on shelf |
Title: | A Chronicle of Permutation Statistical Methods [electronic resource] : 19202000, and Beyond |
Author(s): |
Kenneth J Berry Janis E Johnston Paul W Mielke Jr. |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The focus of this book is on the birth and historical development of permutation statistical methods from the early 1920s to the near present. Beginning with the seminal contributions of R.A. Fisher, E.J.G. Pitman, and others inthe 1920s and 1930s, p ermutation statistical methods were initially introduced to validate the assumptions of classical statistical methods. Permutation methods have advantages over classical methods in that they are optimal for smalldata sets and non-random samples, are data- dependent, and are free of distributional assumptions. Permutation probability values may be exact, or estimated via moment- or resampling-approximation procedures. Because permutation methodsare inherently computationally-intensive, the evolution of comp uters and computing technology that made modern permutation methods possible accompanies the historical narrative. Permutation analogs of many well-known statistical testsare presented in a historical context, including multiple correlation and regression , analysis of variance, contingency table analysis, and measures of association and agreement. A non-mathematical approach makes the text accessible toreaders of all levels |
Contents: | Preface |
1.Introduction | |
2.19201939 | |
3.19401959 | |
4.19601979 | |
5.19802000 | |
6.Beyond 2000 | |
Epilogue | |
References | |
Acronyms | |
Name Index | |
Subject Index | |
ISBN: | 9783319027449 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics |
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Call number: | SPRINGER-2014-9783319020990:ONLINE Show nearby items on shelf |
Title: | Introduction to Partial Differential Equations [electronic resource] |
Author(s): |
Peter J Olver |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, andelsewhere. The exposition car efully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, andinclude straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material thatmotivates the student to delve further into the subject. No previous experien ce with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- andmulti-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to formthe core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximu m Principle, financial models, dispersion and solitons, Huygens' Principle, quantum mechanical systems,and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes ar e an important component of any introductory course, and the text covers the twomost basic approaches: finite differences and finite elements. Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests a re centered on the development of symmetry-based methodsfor differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research |
Contents: | What are Partial Differential Equations? |
Linear and Nonlinear Waves | |
Fourier Series | |
Separation of Variables | |
Finite Differences | |
Generalized Functions and Greens Functions | |
Complex Analysis and Conformal Mapping | |
Fourier Transforms | |
Linear and Nonlinear Evolution Equations | |
A General Framework forLinear Partial Differential Equations | |
FiniteElements and Weak Solutions | |
Dynamics of Planar Media | |
Partial Differential Equations in Space . | |
ISBN: | 9783319020990 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Undergraduate Texts in Mathematics, 0172-6056 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Fourier analysis , Differential equations, partial |
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Call number: | SPRINGER-2014-9783319020457:ONLINE Show nearby items on shelf |
Title: | Locally Convex Spaces [electronic resource] |
Author(s): |
M. Scott Osborne |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convextopological vector spaces, is i ntended to cover most of the general theory needed for application to other areas of analysis. Normed vector spaces, Banach spaces, and Hilbert spaces are all examples of classes of locally convexspaces, which is why this is an important topic in function al analysis. While this graduate text focuses on what is needed for applications, it also shows the beauty of the subject and motivates the reader with exercises of varyingdifficulty. Key topics covered include point set topology, topological vector space s, the HahnBanach theorem, seminorms and Frchet spaces, uniform boundedness, and dual spaces. The prerequisite for this text is the Banach spacetheory typically taught in a beginning graduate real analysis course |
Contents: | 1 Topological Groups |
2 Topological Vector Spaces | |
3 Locally Convex Spaces | |
4 The Classics | |
5 Dual Spaces | |
6 Duals of Fr chet Spaces | |
A Topological Oddities | |
B Closed Graphs in Topological Groups | |
C The Other KreinSmulian Theorem | |
D Further Hints for Selected Exercises | |
Bibliography | |
Index | |
ISBN: | 9783319020457 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Graduate Texts in Mathematics, 0072-5285 : v269 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Topological Groups , Functional analysis |
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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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Title: | Differential Equations of My Young Years [electronic resource] |
Author(s): |
Vladimir Maz'ya |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Vladimir Maz'ya(born 1937)is an outstanding mathematician who systematically made fundamental contributions to a wide array of areas in mathematical analysis and in the theory of partial differential equations. In thisfascinating bookhe describes the first thirty years of his life in Leningrad (now St. Petersburg). He starts with the story of his family, speaks about his childhood, the high school and university years, and recalls his formativeyears as a mathematician. Behind the author's personal re collections, with his own joys, sorrows and hopes, one sees a vivid picture of those timesin the former Sovjet Union. He speaks warmly about his friends, both outside andinside the world of mathematics, about discovering his passion for mathematics and hi s early achievements, and about a number of mathematicians who influenced his professional life. The book is written in a highly readable and invitingstyle, spiced with the occasional touch of humor |
Contents: | Foreword |
The beginning | |
The time of peace is over | |
My mothers story | |
My fathers story | |
In Sverdlovsk | |
Back to Leningrad | |
Crime without punishment | |
Even the sun has spots | |
It is so difficult to become an A student | |
The importance of being an A student | |
Slingshots | |
Illnesses | |
Physcult and sports | |
A sharp kid | |
Foreign languages | |
My interests | |
Poetry | |
Fimka | |
The first place in the District! | |
The indecent topic | |
My circle of reading | |
I chose mathematics | |
A circle at the Palace of Pioneers | |
Two lectures for the school teachers | |
ISBN: | 9783319018096 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics |
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Title: | The Tree of Knowledge [electronic resource] : The Bright and the Dark Sides of Science |
Author(s): |
Claudio Ronchi |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Whether considered a divine gift or a Promethean conquest, science has indisputably and indelibly marked the course of human history. A product of the intellectual elite, but always nourished by the many fruits of itsapplications, science appears tod ay to be a perfect system, whose laws and discoveries guide all human activities. Yet the foundations of its authority remain an open question, entailing disquieting aspects that are also to beidentified in modern science. Furthermore it is seen to be exe rting an increasing power over mankind. Readers are invited to follow an itinerary through the history of science, a voyage which, in the end, enables them to catch aglimpse of two divergent futures: One in which science accelerates the downfall of Homo s apiens, and another in which it helps our species to engage in a new and positive adventure, whose outcome nobody can know |
Contents: | Introduction |
Time of Growth | |
Birth an Floruit of Science in the Occident | |
Scientific Research as a Global Enterprise | |
The Crisis of Growth | |
Orthodoxyvs. Heresy | |
The Dissemination of Knowledge | |
Beyond Mankind | |
Artificial Intelligence and Post | |
Humanity | |
Beginning andEnd | |
Epilogue | |
ISBN: | 9783319014845 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Science History , Mathematics |
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Call number: | SPRINGER-2014-9783319002279:ONLINE Show nearby items on shelf |
Title: | Analysis and Geometry of Markov Diffusion Operators [electronic resource] |
Author(s): |
Dominique Bakry Ivan Gentil Michel Ledoux |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence toequilibrium, spectral bound s, functional inequalities such as Poincar, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution andpartial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results andtechniques from the early developments in the mid-eighties to the latest achie vements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analyticfunctional inequalities, probabilistic convergence to equilibrium and geometric curvature will find i t especially useful. Selected chapters can also be used for advanced courses on the topic |
Contents: | Introduction |
Part I Markov semigroups, basics and examples: 1.Markov semigroups | |
2.Model examples | |
3.General setting | |
Part II Three model functional inequalities: 4.Poincar inequalities | |
5.Logarithmic Sobolev inequalities | |
6.Sobolev inequalities | |
Part III Related functional, isoperimetric and transportation inequalities: 7.Generalized functional inequalities | |
8.Capacity and isoperimetry | |
type inequalities | |
9.Optimal transportation and functional inequalities | |
Part IV Appendices: A.Semigroups of bounded operators on a Banach space | |
B.Elements of stochastic calculus | |
C | |
ISBN: | 9783319002279 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v348 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Global differential geometry , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783034806220:ONLINE Show nearby items on shelf |
Title: | Real Quaternionic Calculus Handbook [electronic resource] |
Author(s): |
Joo Pedro Morais Svetlin Georgiev Wolfgang Sprig |
Date: | 2014 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, suchas complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysishas become a well established branch in ma thematics and has been greatly successful in many different directions. This book is based onconcrete examples and exercises rather than general theorems, thus making it suitable for anintroductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises atthe end of each chapter and its straightforward writing style the book addresses readers w ho have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis,ordinary differential equations, partial differential equations, and theory of distributions |
Contents: | 1 An introduction to quaternions |
2 Quaternions and spatial rotation | |
3 Quaternion sequences | |
4 Quaternion series and infinite products | |
5 Exponents and logarithms | |
6 Trigonometric functions | |
7 Hyperbolic functions | |
8 Inverse hyperbolic and trigonometric functions | |
9 Quaternion matrices | |
10 Monomials, polynomials and binomials | |
11 Solutions | |
Bibliography | |
Index | |
ISBN: | 9783034806220 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Matrix theory , Algebra , Functions of complex variables , Combinatorics , Geometry |
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Call number: | SPRINGER-2014-9781461490906:ONLINE Show nearby items on shelf |
Title: | Solar System Astrophysics [electronic resource] : Planetary Atmospheres and the Outer Solar System |
Author(s): |
Eugene F Milone William J.F Wilson |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | The second edition of Solar System Astrophysics: Planetary Atmospheres and the Outer Solar System provides a timely update of our knowledge of planetary atmospheres andthe bodies of the outer solar system and their analogs inother planetary systems. This volume begins with an expanded treatment of the physics, chemistry, and meteorology of the atmospheres of the Earth, Venus, and Mars, moving on to their magnetospheres and then to a full discussion of thegas and ice giants and their properties. From here, attention switches to the small bodies of the solar system, beginning with the natural satellites. Then comets, meteors, meteorites, and asteroids are discussed in order, and thevolume concludes with the origin and evolution of our solar system. Fin ally, a fully revised section on extrasolar planetary systems puts the development of our system in a wider and increasingly well understood galactic context. Allof the material is presented within a framework of historical importance. This book and its s ister volume, Solar System Astrophysics: Background Science and the Inner Solar system, are pedagogically well written, providing clearlyillustrated explanations, for example, of such topics as the numerical integration of the Adams-Williamson equation, t he equations of state in planetary interiors and atmospheres, Maxwells equations as applied to planetaryionospheres and magnetospheres, and the physics and chemistry of the Habitable Zone in planetary systems. Together, the volumes form a comprehensive te xt for any university course that aims to deal with all aspects of solar andextra-solar planetary systems. They will appeal separately to the intellectually curious who would like to knowjust how far our knowledge of the solar system has progressed in rec ent years |
Contents: | Planetary Atmospheres |
Planetary Ionospheres and Magnetospheres | |
The Giant Planets | |
Satellite and Ring Systems | |
Comets and Meteors | |
Meteorites, Asteroids, and the Age and Origin of Planetary Systems | |
Extra | |
solar Planetary Systems | |
ISBN: | 9781461490906 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Astronomy and Astrophysics Library, 0941-7834 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Planetology , Astronomy |
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Call number: | SPRINGER-2014-9781461487661:ONLINE Show nearby items on shelf |
Title: | From Casual Stargazer to Amateur Astronomer [electronic resource] : How to Advance to the Next Level |
Author(s): |
Dave Eagle |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | The beginning astronomical observer passes through a series of stages.The initial stage is hugely exciting and gives beginners a real buzz as they discover some of the faint fuzzy objects, markings on the planets, rings aroundSaturn and the craters o n the Moon. But as novice stargazers progress, they want to know what more there is than looking at faint fuzzy blobs or indistinct planet markings. Many novices jump to the conclusion wrongly that theyneed to spend lots of money on expensive equipment to progress. From Casual Stargazer to Amateur Astronomer has been written specifically to address this group of budding amateur astronomers. Astronomy is much more than aquick sightseeing tour. Patient observers who develop their skills will start to app reciate what they are seeing, knowing exactly what to look out for on any particular night. Equally important, they will learn what not to expect tosee. This guide is for those who want to develop their observing skills beyond mere sightseeing, learning some of the techniques used to carry out enjoyable and scientifically useful observations. It will also direct readersto information to make informed choices about what can be seen and when. All beginners who are keen to develop their skills as an amate ur astronomer can profit from the advice and gain much more from their time out observing |
Contents: | Moving On |
Awareness of the Sky | |
The Sun Observational warnings and what can be seen | |
The Moon | |
Interesting and unusual features through the year | |
The Planets Visibility of the planets depending on the ecliptic | |
Dwarf Planets Finding these fairly bright minor members of the Solar System | |
Meteors What they dont tell you | |
Comets An introduction to comet hunting | |
Man | |
made Objects How to observe satellites and other man | |
made objects | |
The Stars Guide to the different types of stars visible | |
Deep | |
sky Objects Some of the objects visible througho | |
ISBN: | 9781461487661 |
Series: | eBooks |
Series: | SpringerLink |
Series: | The Patrick Moore Practical Astronomy Series, 1431-9756 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy |
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Call number: | SPRINGER-2014-9781461487494:ONLINE Show nearby items on shelf |
Title: | Incoming Asteroid! [electronic resource] : What Could We Do About It? |
Author(s): |
Duncan Lunan |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Lately there have been more and more news stories on objects from space such as asteroids, comets, and meteors whizzing past Earth. One even exploded in the atmosphere over a Russian city in 2012, causing real damage andinjuries. Impacts are not un common in our Solar System, even on Earth, and people are beginning to realize that we must prepare for such an event here on Earth. What if we knew there was going to be an impact in 10 years time?What could we do? Its not so far in the future that we c an ignore the threat, and not so soon that nothing could be done. The author and his colleagues set out to explore how they could turn aside a rock asteroid, one kilometer indiameter, within this 10-year timescale. Having set themselves this challenge, t hey identified the steps that might be taken, using technologies that are currently under development or proposed. They considered an unmanned mission,a follow-up manned mission, and a range of final options, along with ways to reduce the worst consequenc es for humanity if the impact cannot be prevented. With more warning, the techniques described could be adapted to deal withmore severe threats. If successful, they can generate the capability for a much expanded human presence in space thereafter. With the dangers now beginning to be recognized internationally and with major new programs already in motion,the prospects for civilization and humanity, in relation to the danger of impacts, look much more hopeful than they did only a decade ago |
Contents: | Is There a Danger? |
A Designer Hazard | |
Detection and Reaction | |
Deflection | |
The First Scenario | |
Second Scenario | |
Manned Mission | |
Final Options | |
The Starseeds Grow | |
Keep Watching! | |
ISBN: | 9781461487494 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Astronomers' Universe, 1614-659X |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Planetology , Astrophysics , Astronomy , Astronautics |
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Call number: | SPRINGER-2014-9781461486879:ONLINE Show nearby items on shelf |
Title: | Bayesian Essentials with R [electronic resource] |
Author(s): |
Jean-Michel Marin Christian P Robert |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This Bayesian modeling book provides a self-contained entry to computational Bayesian statistics. Focusing on the most standard statistical models and backed up by real datasets and an all-inclusive R (CRAN) package called bayess,the book provides an operational methodology for conducting Bayesian inference, rather than focusing on its theoretical and philosophical justifications. Readers are empowered to participate in the real-life data analysis situationsdepicted here from the beginning. The stake s are high and the reader determines the outcome. Special attention is paid to the derivation of prior distributions in each case and specific reference solutions are given for each of themodels. Similarly, computational details are worked out to lead the reader towards an effective programming of the methods given in the book. In particular, all R codes are discussed with enough detail to make them readilyunderstandable and expandable. This works in conjunction with the bayess package. Bayesian Essential s with R can be used as a textbook at both undergraduate and graduate levels, as exemplified by courses given at Universit ParisDauphine (France), University of Canterbury (New Zealand), and University of British Columbia (Canada). It is particularly usef ul with students in professional degree programs and scientists to analyze data the Bayesian way. The textwill also enhance introductory courses on Bayesian statistics. Prerequisites for the book are an undergraduate background in probability and statisti cs, if not in Bayesian statistics. A strength of the text is the noteworthy emphasison the role of models in statistical analysis. This is the new, fully-revised edition to the book Bayesian Core: A Practical Approach to Computational Bayesian Statistics. |
Contents: | User's Manual |
Normal Models | |
Regression and Variable Selection | |
Generalized Linear Models | |
Capture | |
Recapture Experiments | |
Mixture Models | |
Time Series | |
Image Analysis | |
References | |
Index | |
ISBN: | 9781461486879 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Texts in Statistics, 1431-875X |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematical statistics |
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Call number: | SPRINGER-2014-9781447164227:ONLINE Show nearby items on shelf |
Title: | Potential Theory [electronic resource] |
Author(s): |
Lester L Helms |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed fromfirst principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops methods for constructing solutions of Laplace's equation on aregion with prescribed values on the boundary of the region. The latter half of the book addresses more advanced material aimed at those with the background of a senior undergraduate or beginning graduate course in real analysis.Starting with solutions of the Dirichlet problem subject to mixed bounda ry conditions on the simplest of regions, methods of morphing such solutions onto solutions of Poisson's equation on more general regions are developed usingdiffeomorphisms and the Perron-Wiener-Brelot method, culminating in application to Brownian motion . In this new edition, many exercises have been added to reconnect the subject matter to the physical sciences. This book willundoubtedly be useful to graduate students and researchers in mathematics, physics, and engineering |
Contents: | Preliminaries |
Laplaces Equation | |
The Dirichlet Problem | |
Green Functions | |
Negligible Sets | |
Dirichlet Problem for Unbounded Regions | |
Energy | |
Interpolation and Monotonicity | |
Newtonian Potential | |
Elliptic Operators | |
Apriori Bounds | |
Oblique Derivative Problem | |
Application to Diffusion Processes | |
ISBN: | 9781447164227 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Potential theory (Mathematics) , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9781447163985:ONLINE Show nearby items on shelf |
Title: | Ordinary Differential Equations [electronic resource] : Analysis, Qualitative Theory and Control |
Author(s): |
Hartmut Logemann Eugene P Ryan |
Date: | 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in the current textbookliterature. The followin g topics are particularly emphasised: existence, uniqueness and continuation of solutions, continuous dependence on initial data, flows, qualitative behaviour of solutions, limit sets, stability theory, invariance principles, introductory control t heory, feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory and absolute stability ofnonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-st ate stability. Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable forfinal year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathema tically oriented engineering and science |
Contents: | Introduction |
Linear differential equations | |
Introduction to linear control theory | |
Nonlinear differential equations | |
Stability and asymptotic behaviour | |
Stability of feedback systems and stabilization | |
ISBN: | 9781447163985 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Undergraduate Mathematics Series, 1615-2085 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Systems theory , Vibration |
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Call number: | SPRINGER-2014-9780817684129:ONLINE Show nearby items on shelf |
Title: | Advanced Calculus [electronic resource] : A Differential Forms Approach |
Author(s): |
Harold M Edwards |
Date: | 2014 |
Publisher: | Boston, MA : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion ofdifferential forms and qu ickly moves to the fundamental theorems of calculus and Stokes theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed forany mathematician in need of a refreshingly informa l and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics. This affordablesoftcover reprint of the 1994 editionpresents the diverse set of topics fro m which advanced calculus courses are created in beautiful unifying generalization. The author emphasizes the use of differential forms in linear algebra,implicit differentiation in higher dimensions using the calculus of differential forms, and the metho d of Lagrange multipliers in a general but easy-to-use formulation. There are copious exercises to help guide the reader in testingunderstanding. The chapters can be read in almost any order, including beginning with the final chapter that contains some o f the more traditional topics of advanced calculus courses. In addition, it is ideal for a course on vectoranalysis from the differential forms point of view. The professional mathematician will find here a delightful example of mathematical literature t he student fortunate enough to have gone through this book will have a firm grasp ofthe nature of modern mathematics and a solid framework to continue to more advanced studies. The most important featureis that it is funit is fun to read the exercises, i t is fun to read the comments printed in the margins, itis fun simply to pick a random spot in the book and begin reading. This is the way mathematics should be presented, with an exci |
Contents: | Constant Forms |
Integrals | |
Integration and Differentiation | |
Linear Algebra | |
Differential Calculus | |
Integral Calculus | |
Practical Methods of Solution | |
Applications | |
Further Study of Limits | |
Appendices | |
Answers to Exercises | |
Index | |
ISBN: | 9780817684129 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Modern Birkhuser Classics, 2197-1803 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Functional analysis , Sequences (Mathematics) |
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Call number: | SPRINGER-2014-9780817684099:ONLINE Show nearby items on shelf |
Title: | A Probability Path [electronic resource] |
Author(s): |
Sidney I Resnick |
Date: | 2014 |
Publisher: | Boston, MA : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate studentsfrom a variety of disci plines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research instatistics, applied probability, biology, operations research, mathematical finance, and engineering. Aone-semester course is laid out in an efficient and readable manner covering the core material. The first three chaptersprovide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applicationsto statistics (quantile and distribution function estimation), and applied probability. Two subsequent cha pters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treatsconditional expectation and martingales, closing with a discussion of two fundamental theorems of mathematical finance. Like Adventures in Stochastic Processes, Resnicks related and very successful textbook, A Probability Path isrich in appropriate examples, illustrations, and problems, and is suitable for classroom use or self-study. The present uncorrected, softcover reprintis designed to make this classic textbookavailable to a wider audience. This book is different from the classical textbooks on probability theory in that it treats the measure theoreticbackground not as a prerequisite but as an integral part of probability theory. Th e result is that the reader gets a thorough and well-structured framewo |
ISBN: | 9780817684099 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Modern Birkhuser Classics, 2197-1803 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) , Mathematical statistics |
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Title: | Ordinary Differential Equations and Dynamical Systems [electronic resource] |
Author(s): |
Thomas C Sideris |
Date: | 2013 |
Publisher: | Paris : Atlantis Press : Imprint: Atlantis Press |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis andlinear algebra. The pres entation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basictheory: linear systems, existence and uniquen ess of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigmfor evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and theexistence of transverse homoclinic points and their link to chaotic dynamics. A common t hread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as thebridge between the two halves of the book |
Note: | Springer eBooks |
Contents: | Introduction |
Linear Systems | |
Existence Theory | |
Nonautomous Linear Systems | |
Results from Functional Analysis | |
Dependence on Initial Conditions and Parameters | |
Linearization and Invariant Manifolds | |
Periodic Solutions | |
Center Manifolds and Bifurcation Theory | |
The Birkhoff Smale Homoclinic Theorem | |
Appendix: Results from Real Analysis | |
ISBN: | 9789462390218 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Atlantis Studies in Differential Equations, 2214-6253 : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations |
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Title: | Liquid Crystalline Semiconductors [electronic resource] : Materials, properties and applications |
Author(s): |
Richard J Bushby Stephen M Kelly Mary O'Neill |
Date: | 2013 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is an exciting stage in the development of organic electronics. It is no longer an area of purely academic interest as increasingly real applications are being developed, some of which are beginning to come on-stream. Areasthat have already been commercially developed or which are under intensive development include organic light emitting diodes (for flat panel displays and solid state lighting), organic photovoltaic cells, organic thin film transistors(for smart tags and flat panel displays) an d sensors. Within the family of organic electronic materials, liquid crystals are relative newcomers. The first electronically conducting liquid crystals were reported in 1988 but already asubstantial literature has developed. The advantage of liquid crys talline semiconductors is that they have the easy processability of amorphous and polymeric semiconductors but they usually have higher charge carrier mobilities. Theirmobilities do not reach the levels seen in crystalline organics but they circumvent all of the difficult issues of controlling crystal growth and morphology. Liquid crystals self-organise, they can be aligned by fields and surfaceforces and, because of their fluid nature, defects in liquid crystal structures readily self-heal. With these ma tters in mind this is an opportune moment to bring together a volume on the subject of Liquid CrystallineSemiconductors. The field is already too large to cover in a comprehensive manner so the aim has been to bring together contributions from leading res earchers which cover the main areas of the chemistry (synthesis andstructure/function relationships), physics (charge transport mechanisms and optical properties) and potential applications in photovoltaics, organic light emitting diodes (OLEDs) and organ ic field-effect transistors (OFETs). This bookwill provide a useful introduction to the field for those in both industry and academia and it is hoped that it will help to stimulate future developm |
Note: | Springer eBooks |
Contents: | Preface |
1 Introduction | |
2 Charge Transport in Liquid Crystalline Semiconductors | |
3 Columnar Liquid Crystalline Semiconductors | |
4 Synthesis of Columnar Liquid Crystals | |
5 Charge Transport in Reactive Mesogens and Liquid Crystal Polymer Networks | |
6 Optical Properties of Liquid Crystals | |
7 Organic Light | |
Emitting diodes (OLEDs) and OLEDs with Polarised Emission | |
8 Liquid Crystals for Organic Photovoltaics | |
9 Liquid Crystals for Organic Field | |
Effect Transistors | |
ISBN: | 9789048128730 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Materials Science, 0933-033X : v169 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Optical materials , Surfaces (Physics) |
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Title: | The First Galaxies [electronic resource] Theoretical Predictions and Observational Clues |
Author(s): |
Tommy Wiklind Bahram Mobasher Volker Bromm |
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: | New observations of the period between the cosmic recombination and the end of reionization are posing intriguing questions about where the first generations of stars were formed, how the first galaxies were assembled, whetherthese galaxies have low redshift counterparts, and what role the early galaxies played in the reionization process. Combining the new observational data with theoretical models can shed new light on open issues regarding the starformation process, its role in the reionization of the Universe, and the metal enrichment in galaxies at those early epochs. This volume brings together leading experts in the field to discuss our current level of understanding andwhat may come in the near future as our observational as well as theoretic al tools improve. The book confronts the theory of how the first stars, black holes, and galaxies formed with current and planned observations. This synthesis isvery timely, just ahead of the establishment of major new facilities, such as the James Webb S pace Telescope (JWST), a next-generation, millimeter/sub-millimeter observatory in the Atacama desert (ALMA), and ground-based ExtremelyLarge Telescopes (ELT). Together, they will revolutionize the study of the most distant objects in the Universe. This v olume is aimed at beginning graduate students but can also serve as a reference work for active researchers in thefield. Apart from presenting the fundamental concepts involved, it also provides an introduction to the methods and techniques used. The book will also be useful to anyone with an astrophysical background who needs an effectivestarting point for learning about the first stars and galaxies |
Note: | Springer eBooks |
Contents: | Part I The First Sources of Light |
Chapter 1 The Basic Theoretical Framework | |
Chapter 2 The Epoch of Reionization | |
Chapter 3 The First Stars | |
Part II The First Galaxies and Normal Stellar Populations | |
Chapter 4 Formation of the First Galaxies: Theory and Simulations | |
Chapter 5 Observing the First Galaxies | |
Chapter 6 The Formation of the First Massive Black Holes | |
Part III Tools & Techniques | |
Chapter 7 Evolutionary Synthesis Models as a Tool and Guide Towards the First Galaxies | |
Chapter 8 Exploring the Universe with Metal | |
Poor Stars | |
Chapter 9 The Potential Impact of Futur | |
ISBN: | 9783642323621 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astrophysics and Space Science Library, 0067-0057 : v396 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy |
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Title: | Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces [electronic resource] |
Author(s): |
Toka Diagana |
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 a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as wellas their recent gene ralizations. Some of the results presented are either new or else cannot be easily found in the mathematical literature. Despite the noticeable and rapid progress made on these important topics, the only standardreferences that currently exist on those ne w classes of functions and their applications are still scattered research articles. One of the main objectives of this book is to close that gap. The prerequisites for the book is the basicintroductory course in real analysis. Depending on the background of the student, the book may be suitable for a beginning graduate and/or advanced undergraduate student. Moreover, it will be of a great interest to researchers inmathematics as well as in engineering, in physics, and related areas. Further, some parts o f the book may be used for various graduate and undergraduate courses |
Note: | Springer eBooks |
Contents: | 1. Metric, Banach, and Hilbert Spaces |
2. Linear Operators on Banach Spaces | |
3. Almost Periodic Functions | |
4. Almost Automorphic Functions | |
5. Pseudo | |
Almost Periodic Functions | |
6. Pseudo | |
Almost Automorphic Functions | |
7. Existence Results for Some Second | |
Order Differential Equations | |
8. Existence Results to Some Integrodifferential Equations | |
9. Existence of C(m) | |
Pseudo | |
Almost Automorphic Solutions | |
10. Pseudo | |
Almost Periodic Solutions to Some Third | |
Order Differential Equations | |
11. Pseudo | |
Almost Automorphic Solutions to Some Sobolev | |
Type Equations | |
12. Stability Results f | |
ISBN: | 9783319008493 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Harmonic analysis , Operator theory , Differential Equations , Differential equations, partial |
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Call number: | SPRINGER-2013-9783319002002:ONLINE Show nearby items on shelf |
Title: | Discrete Geometry and Optimization [electronic resource] |
Author(s): |
Karoly Bezdek Antoine Deza Yinyu Ye |
Date: | 2013 |
Publisher: | Heidelberg : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplaybetween these subjects. Th e purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in September 2011 at the Fields Institute, Toronto, was to furtherstimulate the interaction between geometers and optimizers. This volume reflects the interplay between these areas. The inspiring Fejes Tth Lecture Series, delivered by Thomas Hales of the University of Pittsburgh, exemplified thisapproach. While these fields have recently witnessed a lot of activity a nd successes, many questions remain open. For example, Fields medalist Stephen Smale stated that the question of the existence of a strongly polynomial timealgorithm for linear optimization is one of the most important unsolved problems at the beginning o f the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections betweendifferent approaches, and features novel results and state-of-the-art surveys as well as open problems |
Note: | Springer eBooks |
Contents: | Preface |
Discrete Geometry in Minkowski Spaces (Alonso, Martini, and Spirova) | |
Engineering Branch | |
and | |
Cut Algorithms for the Equicut Program (Anjos, Liers, Pardella, and Schmutzer) | |
An Approach to the Dodecahedral Conjecture Based on Bounds for Spherical Codes (Anstreicher) | |
On Minimal Tilings with Convex Cells Each Containing a Unit Ball (Bezdek) | |
On Volumes of Permutation Polytopes (Burggraf, De Loera, and Omar) | |
Monotone Paths in Planar Convex Subdivisions and Polytopes (Dumitrescu, Rote, and Toth) | |
Complexity of the Positive Semidefinite Matrix Completion Problem with a Rank | |
ISBN: | 9783319002002 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fields Institute Communications, 1069-5265 : v69 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Discrete groups |
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Call number: | SPRINGER-2013-9783034802949:ONLINE Show nearby items on shelf |
Title: | The Weyl Operator and its Generalization [electronic resource] |
Author(s): |
Leon Cohen |
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 deals with the theory and application of associating a function of two variables with a function of two operators that do not commute. The concept of associating ordinary functions with operators has arisen in many areasof science and mathe matics, and up to the beginning of the twentieth century many isolated results were obtained. These developments were mostly based on associating a function of one variable with one operator, the operator generallybeing the differentiation operator. With the discovery of quantum mechanics in the years 1925-1930, there arose, in a natural way, the issue that one has to associate a function of two variables with a function of two operators that donot commute. Methods to do so became known as rules of associ ation, correspondence rules, or ordering rules. This has led to a wonderfully rich mathematical development that has found applications in many fields. Subsequently it wasrealized that for every correspondence rule there is a corresponding phase-space dis tribution. Now the fields of correspondence rules and phase-space distributions are intimately connected. A similar development occurred in the fieldof time-frequency analysis where the aim is to understand signals with changing frequencies. The Weyl Oper ator and Its Generalization aims at bringing together the basic results of the field in a unified manner. A wide audience isaddressed, particularly students and researchers who want to obtain an up-to-date working knowledge of the field. The mathematics i s accessible to the uninitiated reader and is presented in a straightforward manner |
Note: | Springer eBooks |
Contents: | Introduction |
The Fundamental Idea, Terminology, and Operator Algebra | |
The Weyl Operator | |
The Algebra of the Weyl Operator | |
Product of Operators, Commutators, and the Moyal Sin Bracket | |
Some Other Ordering Rules | |
Generalized Operator Association | |
The Fourier, Monomial, and Delta Function Associations | |
Transformation Between Associations | |
Path Integral Approach | |
The Distribution of a Symbol and Operator | |
The Uncertainty Principle | |
Phase | |
Space Distributions | |
Amplitude, Phase, Instantaneous Frequency, and the Hilbert Transform | |
Time | |
Frequency Analysis | |
The Transfor | |
ISBN: | 9783034802949 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Pseudo-Differential Operators, Theory and Applications : v9 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory , Differential equations, partial |
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Call number: | SPRINGER-2013-9783034802376:ONLINE Show nearby items on shelf |
Title: | The Tower of Hanoi Myths and Maths [electronic resource] |
Author(s): |
Andreas M Hinz Sandi Klavar Uro Milutinovi Ciril Petr |
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 is the first comprehensive monograph on the mathematical theory of the solitaire game The Tower of Hanoi which was invented in the 19th century by the French number theorist douard Lucas. The book comprises a surveyof the historical development from the games predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-containedpresentation of the essential mathematical facts with comple te proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpiski graphs. Acknowledging the greatpopularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics,network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the Tower of London, are addressed. Numerous captivating integer sequences arise along the way, but also many open questions imposethemselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical e xperiments supporting its truth, it remains unsettled after more than 70 years and thus demonstratesthe timeliness of the topic. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exer cises as well as problems for further exploration, this book is enjoyablereading for students, educators, game enthusiasts and researchers alike |
Note: | Springer eBooks |
Contents: | Foreword by Ian Stewart |
Preface | |
0 The Beginning of the World | |
1 The Chinese Rings | |
2 The Classical Tower of Hanoi | |
3 Lucass Second Problem | |
4 Sierpinski Graphs | |
5 The Tower of Hanoi with More Pegs | |
6 Variations of the Puzzle | |
7 The Tower of London | |
8 Tower of Hanoi Variants with Oriented Disc Moves | |
9 The End of the World | |
A Hints and Solutions to Exercises | |
Glossary | |
Bibliography | |
Name Index | |
Subject Index | |
Symbol Index | |
ISBN: | 9783034802376 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer software , Sequences (Mathematics) , Combinatorics |
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Call number: | SPRINGER-2013-9781461485117:ONLINE Show nearby items on shelf |
Title: | Finance with Monte Carlo [electronic resource] |
Author(s): |
Ronald W Shonkwiler |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This text introduces upper division undergraduate/beginning graduate students in mathematics, finance, or economics, to the core topics of a beginning course in finance/financial engineering. Particular emphasis is placed onexploiting the power of th e Monte Carlo method to illustrate and explore financial principles. Monte Carlo is the uniquely appropriate tool for modeling the random factors that drive financial markets and simulating their implications.The Monte Carlo method is introduced early and it is used in conjunction with the geometric Brownian motion model (GBM) to illustrate and analyze the topics covered in the remainder of the text. Placing focus on Monte Carlo methodsallows for students to travel a short road from theory to practical ap plications. Coverage includes investment science, mean-variance portfolio theory, option pricing principles, exotic options, option trading strategies, jumpdiffusion and exponential Lvy alternative models, and the Kelly criterion for maximizing investment growth. Novel features: inclusion of both portfolio theory and contingent claim analysis in a single text pricing methodology forexotic options expectation analysis of option trading strategies pricing models that transcend the BlackScholes framework opt imizing investment allocations concepts thoroughly explored through numerous simulation exercises numerousworked examples and illustrations The mathematical background required is a year and one-half course in calculus, matrix algebra covering solutions o f linear systems, and a knowledge of probability including expectation, densities andthe normal distribution. A refresher for these topics is presented in the Appendices. The programming background needed is how to code branching, loops and subroutines in some mathematical or general purpose language. The mathematicalbackground required is a year and one-half course in calculus, matrix algebra covering solutions of linear systems, and a knowledge o |
Note: | Springer eBooks |
Contents: | 1. Geometric Brownian Motion and the Efficient Market Hypothesis |
2. Return and Risk | |
3. Forward and Option Contracts and their Pricing | |
4. Pricing Exotic Options | |
5. Option Trading Strategies | |
6. Alternative to GBM Prices | |
7. Kelly's Criterion | |
Appendices | |
A. Some Mathematical Background Topics | |
B. Stochastic Calculus | |
C. Convergence of the Binomial Method | |
D. Variance Reduction Techniques | |
E. Shell Sort | |
F. Next Day Prices Program | |
References | |
List of Notation | |
List of Algorithms | |
Index | |
ISBN: | 9781461485117 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Finance , Numerical analysis , Distribution (Probability theory) |
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Call number: | SPRINGER-2013-9781461480150:ONLINE Show nearby items on shelf |
Title: | Observing the Sun [electronic resource] : A Pocket Field Guide |
Author(s): |
Jamey L Jenkins |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A comprehensive solar observing guide for use at the telescope byamateur astronomers at all three levels: beginning, intermediate, and advanced.Users will find invaluable information for identifying features through photos,charts, diagrams in a logic al, orderly fashion and then interpreting the observations. Because the Sun is a dynamic celestial body in constant flux, astronomers rarely know for certain what awaits them at the eyepiece. All features ofthe Sun are transient and sometimes rather fleet ing. Given the number of features and the complex life cycles of some solar features, it can be a challenging hobby, and this guide provides all of the guidance necessary to informobservers about the sights and events unfolding before their eyes on the mo st active and powerful member of our Solar System |
Note: | Springer eBooks |
Contents: | The Sun is a Star |
Observe the Sun | |
Identify Solar Features | |
Record Your Observations | |
ISBN: | 9781461480150 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astronomer's Pocket Field Guide |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy |
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Call number: | SPRINGER-2013-9781461479840:ONLINE Show nearby items on shelf |
Title: | Statistics and Analysis of Scientific Data [electronic resource] |
Author(s): |
Massimiliano Bonamente |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Statistics and Analysis of Scientific Data covers the foundations of probability theory and statistics, and a number of numerical and analytical methods that are essential for the present-day analyst of scientific data. Topicscovered include probabil ity theory, distribution functions of statistics, fits to two-dimensional datasheets and parameter estimation, Monte Carlo methods and Markov chains. Equal attention is paid to the theory and its practicalapplication, and results from classic experiments in various fields are used to illustrate the importance of statistics in the analysis of scientific data. The main pedagogical method is a theory-then-application approach, whereemphasis is placed first on a sound understanding of the underlying theory of a topic, which becomes the basis for an efficient and proactive use of the material for practical applications. The level is appropriate for undergraduatesand beginning graduate students, and as a reference for the experienced researcher. Basic calculus is used in some of the derivations, and no previous background in probability and statistics is required.The book includes manynumerical tables of data, as well as exercises and examples to aid the students' understanding of the topic |
Note: | Springer eBooks |
Contents: | Theory of Probability |
Random Variables and Their Distribution | |
Sum and Functions of Random Variables | |
Estimate of Mean and Variance and Confidence Intervals | |
Distribution Function of Statistics and Hypothesis Testing | |
Maximum Likelihood Fit to a Two | |
Variable Dataset | |
Goodness of Fit and Parameter Uncertainty | |
Comparison Between Models | |
Monte Carlo Methods | |
Markov Chains and Monte Carlo Markov Chains | |
A: Numerical Tables | |
B: Solutions | |
ISBN: | 9781461479840 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Distribution (Probability theory) , Mathematical statistics |
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