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Call number: | 9789814566414:ONLINE Show nearby items on shelf |
Title: | Differential geometry for physicists and mathematicians: Moving frames and differential forms from Euclid past Riemann |
Author(s): |
Jose G. Vargas |
Date: | 2014 |
Publisher: | New Jersey: World Scientific |
Size: | 1 online resource |
ISBN: | 9789814566391 |
Keywords: | Mathematical physics. , Geometry, Differential. |
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Call number: | 9783319652719:ONLINE Show nearby items on shelf |
Title: | Quantum sense and nonsense |
Author(s): |
Jean Bricmont |
Date: | 2017 |
Publisher: | Springer |
Size: | 286 p |
Contents: | What are the issues raised by quantum mechanics -- The first mystery: interference -- Philosphical intermezzo I: what is determinism -- How do physicists deal with interference -- Schrodinger's cat and hidden variables -- Philosophical intermezzo II: what is wrong with observations -- The second mystery: nonlocality -- How to do The Impossible, a quantum mechanics with observers: the de-Broglie-Bohm theory -- Many worlds -- A revised history of quantum mechanics -- The cultural impact of quantum mechanics -- Summary of the main theses of this book |
ISBN: | 9783319652719 |
Series: | eBooks |
Series: | Springer 2017 package |
Keywords: | Quantum physics |
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Call number: | 9783319488646:ONLINE Show nearby items on shelf |
Title: | Time Machine Tales The Science Fiction Adventures and Philosophical Puzzles of Time Travel |
Author(s): |
Paul J Nahin |
Date: | 2017 |
Size: | 1 online resource (XLIX, 383 p. 53 illus., 3 illus. in color p.) |
Contents: | Some First Words -- Introduction -- A Broad Look At Time Travel -- Philosophical Space and Time -- The Physics of Time Travel —Part I.-Philosophers, Physicists, and the Time Travel Paradoxes -- Communication With the Past -- The |
Physics of Time Travel —Part II -- Epilogue -- Appendix 1 -- Appendix 2 -- Appendix 3 -- Glossary -- Index. | |
ISBN: | 9783319488646 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Popular works , Philosophy and science , Gravitation , Physics , Philosophy , Popular Science , Popular Science in Physics , Popular Science in Philosophy , Philosophy of Science , History and Philosophical Foundations of Physics , Classical and Quantum Gravitation, Relativity Theory |
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Call number: | 9781107337879:ONLINE Show nearby items on shelf |
Title: | Science and human experience: values, culture and the mind |
Author(s): |
Leon N. Cooper |
Date: | 2014 |
Publisher: | Cambridge University Press |
Size: | 1 online resource (246 p) |
Note: | unlimited users |
Contents: | Part One. Science and Society: 1. Science and human experience, 2. Does science undermine our values?, 3. Can science serve mankind?, 4. Modern science and contemporary discomfort: metaphor and reality, 5. Faith and science, 6. Art and science, 7. F raud in science, 8. Why study science? The keys to the cathedral, 9. Is evolution a theory? A modest proposal, 10. The silence of the second, 11. Introduction to Copenhagen, 12. The unpaid debt -- Part Two. Thought and Consciousness: 13. Source and limits of human intellect, 14. Neural networks, 15. Thought and mental experience: the Turing test, 16. Mind as machine: will we rubbish human experience?, 17. Memory and memories: a physicist's approach to the brain, 18. On the problem of consciousness -- Part Three. On the Nature and Limits of Science: 19. What is a good theory?, 20. Shall we deconstruct science?, 21. Visible and invisible in physical theory, 22. Experience and order, 23. The language of physics, 24. The structure of space, 25. Superconductiv ity and other insoluble problems, 26. From gravity and light to consciousness: does science have limits? |
ISBN: | 9781107043176 |
Series: | eBooks |
Series: | Cambridge Books Online |
Keywords: | Science, Social aspects |
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Call number: | 3527405488:ONLINE Show nearby items on shelf |
Title: | Mathematical Tools for Physicists |
Author(s): |
Trigg |
Date: | 2005 |
Publisher: | Wiley-VCH |
Size: | 1 online resource (687 p.) |
ISBN: | 9783527405480 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Physics |
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Call number: | 3527314105:ONLINE Show nearby items on shelf |
Title: | Computational Chemistry of Solid State Materials - A Guide for Materials Scientists, Chemists, Physicists and Others |
Author(s): |
Dronskowski |
Date: | 2006 |
Publisher: | Wiley-VCH |
Size: | 1 online resource (301 p.) |
ISBN: | 9783527314102 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Materials Science |
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Call number: | SPRINGER-2016-9783319316116:ONLINE Show nearby items on shelf |
Title: | Probability for Physicists |
Author(s): |
Simon Sirca |
Date: | 2016 |
Size: | 1 online resource (29 p.) |
Note: | 10.1007/978-3-319-31611-6 |
Contents: | Basic Terminology -- Probability Distributions -- Special Continuous Probability Distributions -- Expected Values -- Special Discrete Probability Distributions -- Convolution -- Samples -- Estimation of Parameters and Statistical |
Tests -- Regression -- Entropy -- Markov Processes -- Generation of Pseudorandom Numbers -- Monte Carlo Method -- Stochastic Population Modeling | |
ISBN: | 9783319316116 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Chemistry, Physical and theoretical , Mathematical physics , Probabilities , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Mathematical Methods in Physics , Probability Theory and Stochastic Processes , Mathematical Applications in the Physical Sciences , Theoretical and Computational Chemistry |
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Call number: | SPRINGER-2016-9783319258898:ONLINE Show nearby items on shelf |
Title: | Making Sense of Quantum Mechanics |
Author(s): |
Jean Bricmont |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (25 p.) |
Note: | 10.1007/978-3-319-25889-8 |
Contents: | Physicists in Wonderland -- The First Mystery: Interference and Superpositions -- “Philosophical” Intermezzo -- The Second Mystery: Nonlocality -- The de Broglie-Bohm Theory -- Are There any Alternative Theories? -- Revisiting the |
History of Quantum Mechanics -- Quantum Mechanics and Our Culture | |
ISBN: | 9783319258898 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Philosophy and science , Quantum physics , Physics , Quantum Physics , History and Philosophical Foundations of Physics , Philosophy of Science |
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Call number: | SPRINGER-2014-9789401789691:ONLINE Show nearby items on shelf |
Title: | Thermal Properties of Solids at Room and Cryogenic Temperatures [electronic resource] |
Author(s): |
Guglielmo Ventura Mauro Perfetti |
Date: | 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | This book is a guide for materials scientists, physicists, chemists and engineers who wish toexplore the field of low-temperature material properties. The focus is on heat capacity, thermal expansion and electrical and thermalconductivity. The author s report a wide range of experimental details and data, and have compiled useful tables of low-temperature data. Each chapter of the book starts by addressing the theoretical basis of the phenomena. This is aconcise presentation, but it helps the reader t o develop a deeper understanding of the experiments. The second part of the chapters is dedicated to describing the main experimental techniques to measure thermal properties at low andvery low temperature ranges. The final part of each chapter provides a wealth of relevant experimental data in the form of tables and graphs |
Contents: | Preface |
Dedication | |
Part I | |
1 Heat Capacity | |
2 How to Measure Heat Capacity at Low Temperatures | |
3 Data of Specific Heat | |
Part II | |
4 Thermal Expansion | |
5 How to Measure Thermal Expansion Coefficient at Low Temperatures | |
6 Data of Thermal Expansion | |
Part III | |
7 Electrical and Thermal conductivity | |
8 How to Measure Thermal Conductivity | |
10 Data of Thermal Conductivity | |
ISBN: | 9789401789691 |
Series: | eBooks |
Series: | SpringerLink |
Series: | International Cryogenics Monograph Series, 0538-7051 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Engineering , Materials , Surfaces (Physics) |
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Call number: | SPRINGER-2014-9789401787048:ONLINE Show nearby items on shelf |
Title: | Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale [electronic resource] |
Author(s): |
Davron Matrasulov H. Eugene Stanley |
Date: | 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Topics of complex system physics and their interdisciplinary applications to different problems in seismology, biology, economy, sociology, energy and nanotechnology are covered in this new work from renowned experts in theirfields. In particular, co ntributed papers contain original results on network science, earthquake dynamics, econophysics, sociophysics, nanoscience and biological physics. Most of the papers use interdisciplinary approaches basedon statistical physics, quantum physics and other t opics of complex system physics. Papers on econophysics and sociophysics are focussed on societal aspects of physics such as, opinion dynamics, public debates and financial andeconomic stability. This work will be of interest to statistical physicists, ec onomists, biologists, seismologists and all scientists working in interdisciplinary topics of complexity |
Contents: | 1. Complexity in Earthquake Dynamics |
Geosystemics, Entropy and Criticality of Earthquakes: a Vision of our Planet and a Key of Access | |
Aftershock Cascade of the 3.11 Earthquake (2011) in Fukushima | |
Miyagi Area | |
2. Socio | |
, Econo | |
and Biophysics | |
Is it Necessary to lie to win a Controversial Public Debate? An Answer from Sociophysics | |
Anticipating Stock Market Movements with Google and Wikipedia | |
Nonequilibrium Quantum Dynamics of Biomolecular Excitons | |
Fractal Dimensions and Entropies of Meragi Songs | |
3. Network Dynamics in Macroscale Systems | |
Large | |
Scale Connectivity vs. Spre | |
ISBN: | 9789401787048 |
Series: | eBooks |
Series: | SpringerLink |
Series: | NATO Science for Peace and Security Series C: Environmental Security, 1874-6519 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering |
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Call number: | SPRINGER-2014-9788132218357:ONLINE Show nearby items on shelf |
Title: | A First Course in Ordinary Differential Equations [electronic resource] : Analytical and Numerical Methods |
Author(s): |
Martin Hermann Masoud Saravi |
Date: | 2014 |
Publisher: | New Delhi : Springer India : Imprint: Springer |
Size: | 1 online resource |
Note: | This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional formatthe theorem-and-proof formatthe book is focusing onanalytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals withsolution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEswith a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical andpractical aspects of Runge-Kutta methods for solving initial-value problems and sh ooting methods for linear two-point boundary-value problems are considered. The book is intended as a primary text for courses on the theory of ODEs andnumerical treatment of ODEs for advanced undergraduate and early graduate students. It is assumed that the reader has a basic grasp of elementary calculus, in particular methods of integration, and of numerical analysis. Physicists,chemists, biologists, computer scientists and engineers whose work involves solving ODEs will also find the book useful as a r eference work and tool for independent study. The book has been prepared within the framework of aGermanIranian research project on mathematical methods for ODEs, which was started in early 2012 |
Contents: | Chapter 1. Basic Concepts of Differential Equations |
Chapter 2. First | |
Order Differential Equations | |
Chapter 3. Second | |
Order Differential Equations | |
Chapter 4. Laplace Transforms | |
Chapter 5. System of Linear Differential Equations | |
Chapter 6. Power Series Solutions | |
Chapter 7. Numerical Methods for Initial Value Problems | |
Chapter 8. Shooting Methods for Linear Boundary | |
Appendix A. Power Series | |
Appendix B. Some elementary integration formulae | |
Appendix C. Table of Laplacetransforms. | |
ISBN: | 9788132218357 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Numerical analysis , Materials |
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Call number: | SPRINGER-2014-9783642541247:ONLINE Show nearby items on shelf |
Title: | Mathematics for Physicists and Engineers [electronic resource] : Fundamentals and Interactive Study Guide |
Author(s): |
Klaus Weltner Sebastian John Wolfgang J Weber Peter Schuster Jean Grosjean |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This textbook offers an accessible and highly approved approach which is characterized by the combination of the textbook with a detailed study guide available online at our repository extras.springer.com. This study guide dividesthe whole learning t ask into small units which the student is very likely to master successfully. Thus he or she is asked to read and study a limited section of the textbook and to return to the study guide afterwards. Working with thestudy guide his or her learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. Since the degree of difficulties is slowlyrising the students gain confidence and experience their own prog ress in mathematical competence thus fostering motivation. Furthermore in case of learning difficulties he or she is given supplementary explanations and in case ofindividual needs supplementary exercises and applications. So the sequence of the studies i s individualized according to the individual performance and needs and can be regarded as full tutorial course. The study guide satisfies twoobjectives simultaneously: firstly it enables students to make effective use of the textbook and secondly it offer s advice on the improvement of study skills. Empirical studies have shown that the student's competence for using writteninformation has improved significantly by using this study guide. The new edition includes a new chapter on Fourier integrals and Four ier transforms, numerous sections had been updated, 30 new problems with solutions had been added.The interactive study guide has seen a substantial update |
Contents: | From the Contents: Vector Algebra I: Scalars and Vectors |
Vector Algebra II: Scalar and Vector Products | |
Functions | |
Exponential, Logarithmic and Hyperbolic Functions | |
Differential Calculus | |
Integral Calculus | |
Applications of Integration | |
Taylor Series and Power Series | |
Complex Numbers | |
Differential Equations | |
Laplace Transforms | |
Functions of Several Variables Partial Differentiation and Total Differentiation | |
Multiple Integrals Coordinate Systems | |
Transformation of Coordinates Matrices | |
Sets of Linear Equations Determinanats | |
Eigenvalues and Eigenvectors of R | |
ISBN: | 9783642541247 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Mathematical physics , Engineering mathematics |
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Call number: | SPRINGER-2014-9783642367113:ONLINE Show nearby items on shelf |
Title: | Thermodynamics [electronic resource] : For Physicists, Chemists and Materials Scientists |
Author(s): |
Reinhard Hentschke |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Thermodynamics is the foundation of many-body physics and thus of physical chemistry and material science as well. Today new sources of useful energy, energy storage, transport and conversion, requiring development of noveltechnology, are of rapidly increasing importance. This development strongly affects modern industry. Thus thermodynamics will have to be given more prominence in the science curriculum in colleges and universities - something that isattempted in this book. The structure of this tex t is simple and transparent, enabling the easy mapping of the text onto a one-semester course syllabus and the attendant study. There are 8 chapters total and one three-part appendix.Throughout the text the student finds numerous examples (solved problems ) reaching from cosmic to molecular evolution or from cloud formation to Bose condensation |
Contents: | Two Fundamental Laws of Nature |
Thermodynamic Functions | |
Equilibrium and Stability | |
Simple Phase Diagrams | |
Microscopic Interactions | |
Thermodynamics and Molecular Simulation | |
Non | |
equilibrium Thermodynamics | |
ISBN: | 9783642367113 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Thermodynamics , Engineering |
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Call number: | SPRINGER-2014-9783319078427:ONLINE Show nearby items on shelf |
Title: | Probability on Compact Lie Groups [electronic resource] |
Author(s): |
David Applebaum |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Probability theory on compact Lie groups deals with the interaction between chance and symmetry, a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applicationsin statistics and engineering (par ticularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topicspresented are: the study of measures via the non-commutative F ourier transform, existence and regularity of densities, properties of random walks and convolution semigroups of measures, and the statistical problem of deconvolution. Theemphasis on compact (rather than general) Lie groups helps readers to get acquaint ed with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance ofthese groups for applications. The book is primarily aimed at researchers working in probability, stochast ic analysis and harmonic analysis on groups. It will also be of interest to mathematicians working in Lie theory and physicists,statisticians and engineers who are working on related applications. A background in first year graduate level measure theoreti c probability and functional analysis is essential a background in Lie groups and representation theory iscertainly helpful but the first two chapters also offer orientation in these subjects |
Contents: | Introduction |
1.Lie Groups | |
2.Representations, Peter | |
Weyl Theory and Weights | |
3.Analysis on Compact Lie Groups | |
4.Probability Measures on Compact Lie Groups | |
5.Convolution Semigroups of Measures | |
6.Deconvolution Density Estimation | |
Appendices | |
Index | |
Bibliography | |
ISBN: | 9783319078427 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Probability Theory and Stochastic Modelling, 2199-3130 : v70 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Topological Groups , Harmonic analysis , Fourier analysis , Functional analysis , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319066899:ONLINE Show nearby items on shelf |
Title: | Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics [electronic resource] |
Author(s): |
Moiss Santilln |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry, and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, thetheories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. Thelast chapters focus on applying mathematical an d physical techniques to study systems such as: gene regulatory networks and ion channels. The target audience of this book are mainly final year undergraduate and graduate students with asolid mathematical background (physicists, mathematicians, and engi neers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interestedin mathematical modeling, and have a working knowledge of calculus, differential equations, and a basic understanding of probability theory |
Contents: | Brief Introduction to Chemical Kinetics |
Brief Introduction to Thermodynamics | |
Different Approaches to Analyzing a Simple Chemical Reaction | |
Molecule Synthesis and Degradation | |
Enzymatic Reactions | |
Receltor | |
Ligand Interaction | |
Cooperativity | |
Gene Expression and Regulation | |
Ion Channel Dynamics and Ion Transport Across Memberanes | |
References | |
Index | |
ISBN: | 9783319066899 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes on Mathematical Modelling in the Life Sciences, 2193-4789 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Chemistry Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319062303:ONLINE Show nearby items on shelf |
Title: | Spectral Methods for Non-Standard Eigenvalue Problems [electronic resource] : Fluid and Structural Mechanics and Beyond |
Author(s): |
Clin-Ioan Gheorghiu |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solvenon-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions. The book ismathematical, poising problems in their proper functi on spaces, but its emphasis is on algorithms and practical difficulties. The range of applications is quite large. High order eigenvalue problems are frequently beset with numericalill conditioning problems. The book describes a wide variety of successful modifications to standard algorithms that greatly mitigate these problems. In addition, the book makes heavy use of the concept of pseudospectrum, which ishighly relevant to understanding when disaster is imminent in solving eigenvalue problems. It also envisions two classes of applications, the stability of some elastic structures and the hydrodynamic stability of some parallel shearflows. This book is an ideal reference text for professionals (researchers) in applied mathematics, computational physics and engineering. It will be very useful to numerically sophisticated engineers, physicists and chemists. The bookcan also be used as a textbook in review courses such as numerical analysis, computational methods in various engineering branches or physics and computational methods in analysis |
Contents: | 1 General Formulation of Spectral Approximation |
2 Tau and Galerkin Methods for Fourth Order GEPs | |
3 The Chebyshev Collocation Method | |
4 The Laguerre Collocation Method | |
5 Conclusions and Further Developments | |
Appendix: Algebraic Two | |
Parameter Eigenvalue Problems | |
Index | |
ISBN: | 9783319062303 |
Series: | eBooks |
Series: | SpringerLink |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Computer science Mathematics , Computer science , Numerical analysis |
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Call number: | SPRINGER-2014-9783319060743:ONLINE Show nearby items on shelf |
Title: | Functional Analysis and Applied Optimization in Banach Spaces [electronic resource] : Applications to Non-Convex Variational Models |
Author(s): |
Fabio Botelho |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physicsand engineering probl ems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation.Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dualapproach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in relatedfields |
Contents: | 1. Topological Vector Spaces |
2. The Hahn | |
Bananch Theorems and Weak Topologies | |
3. Topics on Linear Operators | |
4.Basic Results on Measure and Integration | |
5. The Lebesgue Measure in Rn | |
6. Other Topics in Measure and Integration | |
7. Distributions | |
8. The Lebesque and Sobolev Spaces | |
9. Basic Concepts on the Calculus of Variations | |
10. Basic Concepts on Convex Analysis | |
11. Constrained Variational Analysis | |
12. Duality Applied to Elasticity | |
13. Duality Applied to a Plate Model | |
14. About Ginzburg | |
Landau Type Equations: The Simpler Real Case | |
15. Full Complex Ginzb | |
ISBN: | 9783319060743 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Fourier analysis , Functional analysis , Numerical analysis |
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Call number: | SPRINGER-2014-9783319057231:ONLINE Show nearby items on shelf |
Title: | Invariant Probabilities of Transition Functions [electronic resource] |
Author(s): |
Radu Zaharopol |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transitionfunctions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated usingtransition functions defined by flows, semiflows, a nd one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 areextended to transition functions. The proofs of the results obtained are new. For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structureof the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of the state space, where the invariant ergodic probability measures play a significant role. Other topics covered include: characterizationsof the supports of various types of invariant probability measures and the use of these to obtain criteria for un ique ergodicity, and the proofs of two mean ergodic theorems for a certain type of transition functions. The book will beof interest to mathematicians working in ergodic theory, dynamical systems, or the theory of Markov processes. Biologists, physicists and economists interested in interacting particle systems and rigorous mathematics will also findthis book a valuable resource. Parts of it are suitable for advanced graduate courses. Prerequisites are basic notions and results on functional analysis, gen eral topology, measure theory, the Bochner integral and some of itsapplications |
Contents: | Introduction |
1.Transition Probabilities | |
2.Transition Functions | |
3.Vector Integrals and A.E. Convergence | |
4.Special Topics | |
5.The KBBY Ergodic Decomposition, Part I | |
6.The KBBY Ergodic Decomposition, Part II | |
7.Feller Transition Functions | |
Appendices: A.Semiflows and Flows: Introduction | |
B.Measures and Convolutions | |
Bibliography | |
Index | |
ISBN: | 9783319057231 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Probability and Its Applications, 1431-7028 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Operator theory , Potential theory (Mathematics) , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319045641:ONLINE Show nearby items on shelf |
Title: | Towards the Mathematics of Quantum Field Theory [electronic resource] |
Author(s): |
Frdric Paugam |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The aim of this book is to introduce mathematicians (and, in particular, graduate students) to the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of themathematical objects in play. This should in turn promote interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, even if the mathematical one is the primarytarget. This reference work provides a coheren t and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The firstpart of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory ofnon-linear partial differential equations, with applications to general gauge theories. The s econd part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the thirdpart provides an introduction to quantum field theory, presents various renormalization methods, and discusses the q uantization of factorization algebras. The book is primarily intended for pure mathematicians (and in particulargraduate students) who would like to learn about the mathematics of quantum field theory |
Contents: | Introduction |
Mathematical Preliminaries | |
Classical Trajectories and Fields | |
Quantum Trajectories and Fields | |
Appendices | |
ISBN: | 9783319045641 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 : v59 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Algebraic topology |
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Call number: | SPRINGER-2014-9783319040639:ONLINE Show nearby items on shelf |
Title: | Quantum Information and Coherence [electronic resource] |
Author(s): |
Erika Andersson Patrik hberg |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This bookoffers an introduction toten key topics in quantum information science and quantum coherent phenomena, aimed at graduate-student level. The chapters cover some of the most recent developments in this dynamic researchfield where theoretical a nd experimental physics, combined with computer science, provide a fascinating arena for groundbreaking new concepts in information processing. The bookaddresses both the theoretical and experimental aspectsof the subject, and clearly demonstrates how pro gress in experimental techniques has stimulated a great deal of theoretical effort and vice versa.Experiments are shifting from simply preparing and measuring quantum states tocontrolling and manipulating them, and the book outlines how the first real app lications, notably quantum key distribution for secure communication, are starting to emerge. The chapters cover quantum retrodiction, ultracold quantumgases in optical lattices, optomechanics, quantum algorithms, quantum key distribution, quantum control based on measurement, orbital angular momentum of light, entanglement theory, trapped ions and quantum metrology, and open quantumsystems subject to decoherence. The contributing authors have been chosen not just on the basis of their scientific expertis e, but also because of their ability to offer pedagogical and well-written contributions which will be ofinterest to students and established researchers |
Contents: | Quantum Retrodiction |
Probling and Controlling Quantum Matter Using Ultracold Quantum Gases in Optical Lattices | |
Towards Macroscopic Superpositions via Single | |
Photon Optomechanics | |
An Introduction to Quantum Algorithms: A Physicist's Perspective | |
Quantum Key Distribution | |
Quantum Control Based On Measurement | |
Orbital Angular Momentum: Testbed for Quantum Mechanics | |
An Introduction to Entanglement Theory | |
An Introduction to Trapped Ions, Scalability and Quantum Metrology | |
Open Quantum Systems and Decoherence | |
ISBN: | 9783319040639 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Scottish Graduate Series |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2014-9783319038049:ONLINE Show nearby items on shelf |
Title: | Mathematical Models and Methods for Plasma Physics, Volume 1 [electronic resource] : Fluid Models |
Author(s): |
Rmi Sentis |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This monograph is dedicated to the derivation and analysis of fluid models occurring in plasma physics. It focuses on models involving quasi-neutrality approximation, problems related to laser propagation in a plasma, and couplingplasma waves and ele ctromagnetic waves. Applied mathematicians will find a stimulating introduction to the world of plasma physics and a few open problems that are mathematically rich. Physicists who may be overwhelmed by the abundanceof models and uncertain of their underly ing assumptions will find basic mathematical properties of the related systems of partial differential equations. A planned second volume will be devoted to kinetic models. First and foremost, this book mathematically derives certain common fluid models from more general models. Although some of these derivations may be well known tophysicists, it is important to highlight the assumptions underlying the derivations and to realize that some seemingly simple approximations turn out to be more complicated t han they look. Such approximations are justified usingasymptotic analysis wherever possible. Furthermore, efficient simulations of multi-dimensional models require precise statements of the related systems of partial differential equations along with appr opriate boundary conditions. Somemathematical properties of these systems are presented which offer hints to those using numerical methods, although numerics is not the primary focus of the book |
Contents: | Chapter 1. Introduction. Some Plasma characteristic quantities |
Chapter 2. Quasi | |
neutrality. Magneto | |
hydrodynamics | |
Chapter 3. Laser propagation. Coupling with ion acoustic waves | |
Chapter 4. Langmuir waves and Zakharov equations | |
Chapter 5. Coupling electron waves and laser waves | |
Chapter 6. Models with several species | |
Appendix | |
Bibliography | |
Index | |
ISBN: | 9783319038049 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Modeling and Simulation in Science, Engineering and Technology, 2164-3679 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mathematical physics |
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Call number: | SPRINGER-2014-9783319037714:ONLINE Show nearby items on shelf |
Title: | Percolation Theory for Flow in Porous Media [electronic resource] |
Author(s): |
Allen Hunt Robert Ewing Behzad Ghanbarian |
Date: | 2014 |
Edition: | 3rd ed. 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This monograph presents, for the first time, a unified and comprehensive introduction to some of the basic transport properties of porous media, such as electrical and hydraulic conductivity, air permeability and diffusion. Theapproach is based on cr itical path analysis and the scaling of transport properties, which are individually described as functions of saturation. At the same time, the book supplies a tutorial on percolation theory for hydrologists,providing them with the tools for solving actu al problems. In turn, a separate chapter serves to introduce physicists to some of the language and complications of groundwater hydrology necessary for successful modeling. Theend-of-chapter problems often indicate open questions, which young researchers entering the field can readily start working on. This significantly revised and expanded third edition includes in particular two new chapters: one onadvanced fractal-based models, and one devoted to the discussion of various open issues such as the role of diffusion vs. advection, preferential flow vs. critical path, universal vs. non-universal exponents for conduction, and lastbut not least, the overall influence of the experimental apparatus in data collection and theory validation. The book is suitab le for advanced graduate courses, with selected problems and questions appearing at the end of eachchapter. [...] I think the book is an important work that will guide soil scientists, hydrologists, and physicists to gain a better qualitative and quantita tive understanding of multitransport properties of soils. (Marcel G. Schaap,Soil Science Society of America Journal, May-June, 2006) |
Contents: | Percolation Theory: Topology and Structure |
Properties Relevant for Transport and Transport Applications | |
Porous Media Primer for Physicists | |
Fractal Models of Porous Media | |
Specific Examples of Critical Path Analysis | |
Hydraulic and Electrical Conductivity: Conductivity Exponents and Critical Path Analysis | |
Other Transport Properties of Porous Media | |
Pressure Saturation Curves and the Critical Volume Fraction for Percolation: Accessibility Function of Percolation Theory | |
Applications of the Correlation Length: Scale Effects on Flow | |
Applications of the Cluster Statistics | |
Pro | |
ISBN: | 9783319037714 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Physics, 0075-8450 : v880 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Geography , Hydraulic engineering |
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Call number: | SPRINGER-2014-9783319018904:ONLINE Show nearby items on shelf |
Title: | Magnetic Stochasticity in Magnetically Confined Fusion Plasmas [electronic resource] : Chaos of Field Lines and Charged Particle Dynamics |
Author(s): |
Sadrilla Abdullaev |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This is the first book to systematically consider the modern aspects of chaotic dynamics of magnetic field lines and charged particles in magnetically confined fusion plasmas. The analytical models describing the genericfeatures of equilibrium magnet ic fields and magnetic perturbations in modern fusion devices are presented. It describes mathematical and physical aspects of onset of chaos, generic properties of the structure of stochastic magneticfields, transport of charged particles in tokamaks ind uced by magnetic perturbations, new aspects of particle turbulent transport, etc. The presentation is based on the classical and new unique mathematical tools of Hamiltoniandynamics, like the action--angle formalism, classical perturbation theory, canonic al transformations of variables, symplectic mappings, the Poincar-Melnikov integrals. They are extensively used for analytical studies as well as fornumerical simulations of magnetic field lines, particle dynamics, their spatial structures and statistical properties. The numerous references to articles on the latest development in the area are provided.The book is intended forgraduate students and researchers who interested in the modern problems of magnetic stochasticity in magnetically confined fusion p lasmas. Itis also useful for physicists and mathematicians interested in new methods of Hamiltoniandynamics and their applications |
Contents: | Hamiltonian Representation of Magnetic Field |
Magnetic Field Structure of Equilibrium Plasmas | |
Magnetic Field Perturbations | |
Hamiltonian Equations for the Guiding Center Motion of Particles | |
Drift Orbits in Equilibrium Plasmas | |
Methods to Study the Hamiltonian Systems | |
Onset of Dynamical Chaos: Mathematical Aspects | |
Onset of Dynamical Chaos: Physical Aspects | |
Magnetic Field Structure Induced by Resonant Magnetic Perturbations in Tokamaks | |
Transport of Field Lines and Particles in a Stochastic Magnetic Field | |
Transport of Particles in a Turbulent Field | |
ISBN: | 9783319018904 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Series on Atomic, Optical, and Plasma Physics, 1615-5653 : v78 |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2014-9783319010779:ONLINE Show nearby items on shelf |
Title: | Clusters in Nuclei, Volume 3 [electronic resource] |
Author(s): |
Christian Beck |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Following the pioneering discovery of alpha clustering and of molecular resonances, the field of nuclear clustering is today one of those domains of heavy-ion nuclear physics that faces the greatest challenges, yet also containsthe greatest opportuni ties.After many summer schools and workshops, in particular over the last decade, the community of nuclear molecular physicists has decided to collaborate in producing a comprehensive collection of lectures andtutorial reviews covering the field.Thisthird volume follows the successful Lect. Notes Phys. 818 (Vol. 1) and 848 (Vol. 2), and comprises six extensive lectures covering the following topics: - Gamma Rays and Molecular Structure- Faddeev Equation Approach for Three Cluster Nuclear Reactions - Tomog raphy of the Cluster Structure of Light Nuclei Via Relativistic Dissociation - Clustering Effects Within the Dinuclear Model : From Light to Hyper-heavy Moleculesin Dynamical Mean-field Approach - Clusterization in Ternary Fission - Clusters in Light Neut ron-rich Isotopes By promoting new ideas and developments while retaining a pedagogical style of presentation throughout, these lectureswill serve as both a reference and an advanced teaching manual for future courses and schools in the fields of nuclear physics and nuclear astrophysics |
Contents: | Faddeev Equation Approach for Three Cluster Nuclear Reactions |
Electromagnetic Transitions as a Probe of Nuclear Clustering | |
Tomography of the Cluster Structure of Light Nuclei via Relativistic Dissociation | |
From Light to Hyper | |
heavy Molecules in Dynamical Mean | |
field Approach | |
Covalent Binding on the Femtometer Scale: Nuclear Molecules | |
Clusterization in Ternary Fission | |
ISBN: | 9783319010779 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Physics, 0075-8450 : v875 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Nuclear physics |
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Call number: | SPRINGER-2014-9783319008943:ONLINE Show nearby items on shelf |
Title: | Introduction to Mathematica for Physicists [electronic resource] |
Author(s): |
Andrey Grozin |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Mathematica is the most widely used system for doing mathematical calculations by computer, including symbolic and numeric calculations and graphics. It is used in physics and other branches of science, in mathematics, educationand many other areas. Many important results in physics would never be obtained without a wide use of computer algebra. This book describes ideas of computer algebra and the language of the Mathematica system. It also contains a numberof examples, mainly from physics, also fro m mathematics and chemistry. After reading this book and solving problems in it, the reader will be able to use Mathematica efficiently for solving his/her own problems |
Contents: | Part I Lectures |
Computer algebra systems | |
Overview of Mathematica | |
Expressions | |
Patterns and substitutions | |
Functions | |
Mathematica as a programming language | |
Grbner bases | |
Calculus | |
Risch algorithm | |
Linear algebra | |
Input | |
output and strings | |
Packages | |
Part II Computer classes | |
Plots | |
Trigonometric functions | |
Quantum oscillator | |
Spherical harmonics | |
Adding angular momenta in quantum mechanics | |
Classical nonlinear oscillator | |
Cyclohexane | |
Multi | |
functions | |
Quantum nonlinear oscillator | |
Riemann curvature tensor | |
Rainbow | |
Problems for students | |
ISBN: | 9783319008943 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry |
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Call number: | SPRINGER-2014-9783319005997:ONLINE Show nearby items on shelf |
Title: | Gravity, Strings and Particles [electronic resource] : A Journey Into the Unknown |
Author(s): |
Maurizio Gasperini |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | New fundamental forces of Nature? New forms of dark'' energy? Signals from epochs preceding the Big Bang? Is our space-time unique? Only a joint study of the three topics examined in this book gravity, strings and particles may provide answers to th ese questions. Such a study may also provide the key to solving one of the most fascinating mysteries of modern science, namely: Besides time and the three spatial dimensions, how many other dimensionsexist in our universe? The book is primarily addressed to readers who do not necessarily have a specific background in physics but are nevertheless interested in discovering the originality and the possible implications of some of theamazing ideas in modern theoretical physics. The emphasis is on conveying i deas rather than explaining formulas, focusing not on what is known but -- mainly -- on what is still unknown. Many parts of the book are devoted to fundamentaltheoretical models and results which are potentially highly relevant for a deeper understanding of Nature, but are still waiting to be confirmed (or disproved) by experiments. From this point of view, the material of this book mayalso be of interest to professional physicists, whether or not they work in the field of fundamental interactions |
Contents: | From the Contents: Prologue: inside the energy walls of our \cradle |
Gravity at small distances | |
Gravity at large distances | |
Space, time and space | |
time | |
Strings and fundamental interactions | |
The past of our Universe | |
ISBN: | 9783319005997 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy |
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Call number: | SPRINGER-2014-9783319000237:ONLINE Show nearby items on shelf |
Title: | Econophysics of Agent-Based Models [electronic resource] |
Author(s): |
Frdric Abergel Hideaki Aoyama Bikas K Chakrabarti Anirban Chakraborti Asim Ghosh |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The primary goal of this book is to present the research findings and conclusions of physicists, economists, mathematicians and financial engineers working in the field of Econophysics who have undertaken agent-basedmodelling, comparison with empiric al studies and related investigations. Most standard economic models assume the existence of the representative agent, who is perfectly rational and applies the utility maximization principlewhen taking action. One reason for this is the desire to keep mo dels mathematically tractable: no tools are available to economists for solving non-linear models of heterogeneous adaptive agents without explicit optimization. Incontrast, multi-agent models, which originated from statistical physics considerations, all ow us to go beyond the prototype theories of traditional economics involving the representative agent. This book is based on theEconophys-Kolkata VII Workshop, at which many such modelling efforts were presented. In the book, leading researchers in their fields report on their latest work, consider recent developments and review the contemporary literature |
Contents: | Agent |
based modeling of zapping behavior of viewers, television commercial allocation, and advertisement markets by Hiroyuki Kyan and Jun | |
ichi Inoue | |
Agent based modeling of Housing asset bubble: A simple utility function based investigation by Kausik Gangopadhyay and Kousik Guhathakurta | |
Urn model | |
based adaptive Multi | |
arm clinical trials: A stochastic approximation approach by Sophie Laruelle and Gilles Pags | |
Logistic modeling of a Religious Sect features by Marcel Ausloos | |
Characterizing financial crisis by means of the three states random field Ising model by Mitsuaki Murota and J | |
ISBN: | 9783319000237 |
Series: | eBooks |
Series: | SpringerLink |
Series: | New Economic Windows, 2039-411X |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics , Economics , Economics, Mathematical |
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Title: | Introduction to the Qualitative Theory of Differential Systems [electronic resource] : Planar, Symmetric and Continuous Piecewise Linear Systems |
Author(s): |
Jaume Llibre Antonio E Teruel |
Date: | 2014 |
Publisher: | Basel : Springer Basel : Imprint: Springer |
Size: | 1 online resource |
Note: | The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. These differential systems are symmetric with respect to the origin ofcoordinates. This class of syste ms, driven by concrete applications, is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems, we willintroduce the basic tools of the qualitative theory of ordin ary differential equations, which allow us to describe the global dynamics of these systems including the dynamics at infinity. The behavior of their solutions, theirparametric stability or instability and their bifurcations are described. The book is hig hly suitable for a first course in the qualitative theory of differential equations or dynamical systems, particularly for engineers,mathematicians, and physicists |
Contents: | Preface |
1 Introduction and statement of the main results | |
2 Basic elements of the qualitative theory of ODEs | |
3 Fundamental systems | |
4 Return maps | |
5 Phase portraits | |
Index | |
Bibliography. | |
ISBN: | 9783034806572 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Birkhuser Advanced Texts Basler Lehrbcher, 1019-6242 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Systems theory |
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Call number: | SPRINGER-2014-9781493904198:ONLINE Show nearby items on shelf |
Title: | Ergodic Theory, Open Dynamics, and Coherent Structures [electronic resource] |
Author(s): |
Wael Bahsoun Christopher Bose Gary Froyland |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book is comprised of selected research articles developed from a workshop onErgodic Theory, Probabilistic Methods and Applications, held in April 2012 at the BanffInternational Research Station.It contains contributionsfrom world leading experts in ergodic theory, dynamical systems, numerical analysis, fluid dynamics, and networks.The volume will serve asa valuable reference for mathematicians, physicists, engineers, physical oceanographers,atmospheric scientists, biologists, and climate scientis ts, who currently use, or wish to learn how to use, probabilistic techniques to cope with dynamical models that display open, coherent, or non-equilibrium behavior |
Contents: | 1. Nonautonomous flows as open dynamical systems: characterising escape rates and time |
varying boundaries | |
2. Eigenvalues of transfer operators for dynamical systems with holes | |
3. Periodic points, escape rates and escape measures | |
4. A multi | |
time step method to compute optical flow with scientific priors for observations of a fluidic system | |
5. Numerical approximation of conditionally invariant measures via maximum entropy | |
6. Lebesgue ergodicity of a dissipative subtractive algorithm | |
7. Improved estimates of survival probabilities via isospectral transformations | |
8. Dispersing | |
ISBN: | 9781493904198 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v70 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Mathematical optimization , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9781461495932:ONLINE Show nearby items on shelf |
Title: | Linear Integral Equations [electronic resource] |
Author(s): |
Rainer Kress |
Date: | 2014 |
Edition: | 3rd ed. 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made itas self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equationsis developed within the book itself. Prob lems are included at the end of each chapter. For this third edition in order to make the introduction to the basic functional analytic tools more complete the HahnBanach extensiontheorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in theclassical Holder space setting and of both integral equations of the first and second kind in the co ntemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method fortwo-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger e quation. The final chapter of the book on inverse boundary value problems for the Laplace equation hasbeen largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods Reviews of earlier editions: This book is an excellent introductory text for students, scientists, and engineers whowant to learn the basic theory of linear integral equations and their numerical solution. (Math. Reviews, 2000) This is a good introductory text book on linear integral equations. It contains almost all the topics necessary fora student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract. (ZbM |
Contents: | Normed Spaces |
Bounded and Compact Operators | |
Riesz Theory | |
Dual Systems and Fredholm Alternative | |
Regularization in Dual Systems | |
Potential Theory | |
Singular Integral Equations | |
Sobolev Spaces | |
The Heat Equation | |
Operator Approximations | |
Degenerate Kernel Approximation | |
Quadrature Methods | |
Projection Methods | |
Iterative Solution and Stability | |
Equations of the First Kind | |
Tikhonov Regularization | |
Regularization by Discretization | |
Inverse Boundary Value Problems | |
References | |
Index | |
ISBN: | 9781461495932 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Applied Mathematical Sciences, 0066-5452 : v82 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Numerical analysis |
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Call number: | SPRINGER-2014-9781461492726:ONLINE Show nearby items on shelf |
Title: | Physics of Societal Issues [electronic resource] : Calculations on National Security, Environment, and Energy |
Author(s): |
David Hafemeister |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides the reader with essential tools needed to analyze complex societal issues and demonstrates the transition from physics to modern-day laws and treaties. This second edition features new equation-orientedmaterial and extensive data s ets drawing upon current information from experts in their fields. Problems to challenge the reader and extend discussion are presented on three timely issues: National Security:Weapons, Offense, Defense, Verification, Nuclear Proliferation, Terrorism Environment: Air/Water, Nuclear, Climate Change, EM Fields/Epidemiology Energy: Current Energy Situation, Buildings, SolarBuildings, Renewable Energy, Enhanced End-Use Efficiency, Transportation, Economics Praise for the first edition: This insight is n eeded in Congress and the Executive Branch. Hafemeister, a former Congressional fellow with wideWashington experience, has written a book for physicists, chemists and engineers who want to learn science and policy on weapons, energy, and the environment. Scientists who want to make a difference will want this book. RichardScribner, first Director, Congressional Science and Engineering Fellow Program, AAAS Hafemeister shows how much one can understand about nuclear weapons and missile issues through simpl e back-of-the-envelope calculations. He alsoprovides compact explanations of the partially successful attempts that have been made over the past 60 years to control these weapons of mass destruction. Hopefully, Physics of Societal Issues will help interes t a new generation ofphysicists in continuing this work. Frank von Hippel, Professor, Princeton, former Assistant Director, National Security, White House, OSTP Energy policy must be quantitative. People who don't calculate economic tradeoffs oftenchampi on simplistic hardware. The solution is more... nuclear power, or electric cars, or photovoltaics, etc. Some simple physics will s |
Contents: | Nuclear Weapons |
The Offense: Missiles and War Games | |
The Defense: ABM/SDI/BMD/NMD | |
Verification and Arms Control Treaties | |
Nuclear Proliferation and Terrorism | |
Air and Water Pollution | |
Nuclear Pollution | |
Climate Change | |
Electromagnetic Fields and Epidemiology | |
The Energy Situation and Fossil Fuels | |
Energy in Buildings | |
Solar Buildings | |
Renewable Energy | |
Enhanced End | |
Use Efficiency | |
Transportation | |
Energy Economics | |
Appendix A: Nuclear Arms Chronology | |
Appendix B: Energy/ Environment Chronology | |
Appendix C: Nuclear | |
Age History | |
Appendix D: Units | |
Appendi | |
ISBN: | 9781461492726 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Renewable energy sources , Nuclear engineering , Environmental law |
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Call number: | SPRINGER-2014-9781461483045:ONLINE Show nearby items on shelf |
Title: | The Phantoms of Medical and Health Physics [electronic resource] : Devices for Research and Development |
Author(s): |
Larry A DeWerd Michael Kissick |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Acomprehensive overview of all types of phantoms used in medical imaging, therapy, nuclear medicine and health physics is provided in this title. For ionizing radiation, dosimetry with respect to issues of material composition,shape, and motion/posit ion effects are all highlighted. For medical imaging, each type of technology will need specific materials and designs, and the physics and indications will be explored for each type. Health physics phantoms areconcerned with some of the same issues such as material heterogeneity, but also unique issues such as organ-specific radiation dose from sources distributed in other organs. Though some of the information enclosed is found in othersources, divided especially along the three categories of imaging, t herapy, and health physics, many medical physicists as well as professionals need to bridge these three catagories. Readers will be able to use this book to select theappropriate phantom from a vendor at a clinic, to learn from as a student, to choose mat erials for custom phantom design, to design dynamic features, and as a reference for a variety of applications |
Contents: | 1. Introduction to Phantoms of Medical and Health Physics |
Section I: Phantoms of Radiation Therapy | |
2. Radiation Therapy Dosimetry Phantoms | |
3. Anthropormorphic Phantoms for Radiation Oncology Medical Physics | |
4. Motion Phantoms for Therapy | |
5. Phantoms in Brachytherapy | |
Section II. Imaging Phantoms | |
6. Imaging Phantoms: Conventional X | |
ray Imaging Applications | |
7. Computer Tomography (CT) Phantom Applications | |
8. Mammography Phantoms | |
9. Phantoms for Ultrasound Experimentation and Quality Control | |
10. Phantoms for Magnetic Resonance Imaging | |
11. Nuclear Medicine phanto | |
ISBN: | 9781461483045 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Biological and Medical Physics, Biomedical Engineering, 1618-7210 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Radiology, Medical , Nuclear medicine , Diagnosis, Ultrasonic , Biomedical engineering |
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Call number: | SPRINGER-2013-9784431542704:ONLINE Show nearby items on shelf |
Title: | Lie Theory and Its Applications in Physics [electronic resource] : IX International Workshop |
Author(s): |
Vladimir Dobrev |
Date: | 2013 |
Publisher: | Tokyo : Springer Japan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to asystem yields in general so me notion of symmetry which is very helpful in understanding its structure. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantumgroups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples ofthese new trends are presented in this volume, based on contributions fr om the Workshop Lie Theory and Its Applications in Physics held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience ofmathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theo ry |
Note: | Springer eBooks |
ISBN: | 9784431542704 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v36 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Topological Groups , Geometry |
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Call number: | SPRINGER-2013-9783642393631:ONLINE Show nearby items on shelf |
Title: | Stochastic Simulation and Monte Carlo Methods [electronic resource] : Mathematical Foundations of Stochastic Simulation |
Author(s): |
Carl Graham Denis Talay |
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: | In various scientific and industrial fields, stochastic simulations are taking on a new importance. This is due to the increasing power of computers and practitioners aim to simulate more and more complex systems, and thus userandom parameters as wel l as random noises to model the parametric uncertainties and the lack of knowledge on the physics of these systems. The error analysis of these computations is a highly complex mathematical undertaking.Approaching these issues, the authors present stochas tic numerical methods and prove accurate convergence rate estimates in terms of their numerical parameters (number of simulations, time discretization steps). As a result, the bookis a self-contained and rigorous study of the numerical methods within a th eoretical framework. After briefly reviewing the basics, the authors first introduce fundamental notions in stochastic calculus and continuous-time martingaletheory, then develop the analysis of pure-jump Markov processes, Poisson processes, and stochasti c differential equations. In particular, they review the essential properties of It integrals and prove fundamental results on theprobabilistic analysis of parabolic partial differential equations. These results in turn provide the basis for developing st ochastic numerical methods, both from an algorithmic and theoretical point of view. The book combinesadvanced mathematical tools, theoretical analysis of stochastic numerical methods, and practical issues at a high level, so as to provide optimal results on the accuracy of Monte Carlo simulations of stochastic processes. It isintended for master and Ph.D. students in the field of stochastic processes and their numerical applications, as well as for physicists, biologists, economists and other professional s working with stochastic simulations, who willbenefit from the ability to reliably estimate and control the accuracy of their simulations. |
Note: | Springer eBooks |
Contents: | Part I:Principles of Monte Carlo Methods |
1.Introduction | |
2.Strong Law of Large Numbers and Monte Carlo Methods | |
3.Non Asymptotic Error Estimates for Monte Carlo Methods | |
Part II:Exact and Approximate Simulation of Markov Processes | |
4.Poisson Processes | |
5.Discrete | |
Space Markov Processes | |
6.Continuous | |
Space Markov Processes with Jumps | |
7.Discretization of Stochastic Differential Equations | |
Part III:Variance Reduction, Girsanovs Theorem, and Stochastic Algorithms | |
8.Variance Reduction and Stochastic Differential Equations | |
9.Stochastic Algorithms | |
References | |
Index | |
ISBN: | 9783642393631 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Stochastic Modelling and Applied Probability, 0172-4568 : v68 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Finance , Numerical analysis , Distribution (Probability theory) |
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Call number: | SPRINGER-2013-9783642376238:ONLINE Show nearby items on shelf |
Title: | Attosecond Physics [electronic resource] : Attosecond Measurements and Control of Physical Systems |
Author(s): |
Luis Plaja Ricardo Torres Amelle Zar |
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: | Attophysics is an emerging field in physics devoted to the study and characterization of matter dynamics in the sub-femtosecond time scale. This book gives coverage of a broad set of selected topics in this field, exciting bytheir novelty and their p otential impact. The book is written review-like. It also includes fundamental chapters as introduction to the field for non-specialist physicists. The book is structured in four sections: basics, attosecondpulse technology, applications to measurements a nd control of physical processes and future perspectives. It is a valuable reference tool for researchers in the field as well as a concise introduction to non-specialist readers |
Note: | Springer eBooks |
Contents: | Fundamentals |
Generation, Control and Characterization of Attosecond Pulses | |
Attosecond Measurements and Control of Physical Systems | |
Future Trends | |
ISBN: | 9783642376238 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Optical Sciences, 0342-4111 : v177 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Optical materials , Surfaces (Physics) |
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Call number: | SPRINGER-2013-9783642373053:ONLINE Show nearby items on shelf |
Title: | Strongly Interacting Matter in Magnetic Fields [electronic resource] |
Author(s): |
Dmitri Kharzeev Karl Landsteiner Andreas Schmitt Ho-Ung Yee |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The physics of strongly interacting matter in an external magnetic field is presently emerging as a topic of great cross-disciplinary interest for particle, nuclear, astro- and condensed matter physicists. It is known that strongmagnetic fields are c reated in heavy ion collisions, an insight that has made it possible to study a variety of surprising and intriguing phenomena that emerge from the interplay of quantum anomalies, the topology of non-Abelian gaugefields, and the magnetic field. In particu lar, the non-trivial topological configurations of the gluon field induce a non-dissipative electric current in the presence of a magnetic field. These phenomena have led to an extendedformulation of relativistic hydrodynamics, called chiral magnetohydrod ynamics. Hitherto unexpected applications in condensed matter physics include graphene and topological insulators. Other fields of application includeastrophysics, where strong magnetic fields exist in magnetars and pulsars. Last but not least, an import ant new theoretical tool that will be revisited and which made much of the progress surveyed in this book possible is theholographic principle - the correspondence between quantum field theory and gravity in extra dimensions. Edited and authored by the pi oneers and leading experts in this newly emerging field, this book offers a valuable resource for abroad community of physicists and graduate students |
Note: | Springer eBooks |
Contents: | From the Contents: Chiral magnetic spirals |
Magnetized matter in the Sakai | |
Sugimoto model | |
Charge | |
dependent correlations in heavy ion collisions | |
Superconductivity from rho meson condensation in QCD | |
Lattice studies of QCD phase transitions in a magnetic field | |
Holographic Metamagnetism | |
Dense quark matter in a magnetic field | |
Effects of a magnetic field in the linear sigma model | |
Chiral Magnetic effect II | |
Debye screening in magnetic field through holography | |
Holographic magnetized fermions | |
Chiral magnetic effect in holographic models | |
Applications of the AdS/CFT corr | |
ISBN: | 9783642373053 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v871 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astronomy , Nuclear physics , Magnetism |
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Call number: | SPRINGER-2013-9783642357985:ONLINE Show nearby items on shelf |
Title: | Einstein in Matrix Form [electronic resource] : Exact Derivation of the Theory of Special and General Relativity without Tensors |
Author(s): |
Gnter Ludyk |
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: | This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without toomuch new mathematics. Th e fundamental equations of Einsteins theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool forscientists and engineers with no experience in the fie ld of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains theSchwarzschild solution of spherical body gravity and examines the Black Hole ph enomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices |
Note: | Springer eBooks |
Contents: | From the Contents: Special Relativity |
The Galilei Transformation | |
The Lorentz Transformation | |
The Invariance of Quadratic Forms | |
Velocity Addition | |
Lorentz Transformation of Velocities | |
Lorentz Transformation of Impulses | |
Acceleration and Force | |
Relativistic Electrodynamics | |
Energy Momentum Matrix | |
General Relativity | |
General Relativity and Riemannian Geometry | |
ISBN: | 9783642357985 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Mechanics , Mechanics, applied |
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Call number: | SPRINGER-2013-9783642339110:ONLINE Show nearby items on shelf |
Title: | Fractional Derivatives for Physicists and Engineers [electronic resource] : Background and Theory |
Author(s): |
Vladimir V Uchaikin |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? Thetwo-volume book written on hig h didactic level answers these questions. Fractional Derivatives for Physicists and Engineers The first volume contains a clear introduction into such a modern branch of analysis as the fractionalcalculus. The second develops a wide panorama of applicatio ns of the fractional calculus to various physical problems. This book recovers new perspectives in front of the reader dealing with turbulence and semiconductors, plasma andthermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The bo ok is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numericalsimulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular. Prof. Vladimir V. UCHAIKIN is a known Russian scientist and pedagogue, a Honored Worker of Russian High School,a member of the Russian Academy of Natural Sciences. He is the author of about three hundreds articles and more than a dozen books (mostly in Russian) in Cosmic ray physics, Mathematical physics, Levy stable statistics, Monte Carlomethods with applications to anomalous processes in complex systems of various levels: from quantum dots to the Milky Way galaxy |
Note: | Springer eBooks |
Contents: | Physical Basics |
Fractional Derivatives | |
Fractional Equations | |
Applications | |
Mechanics | |
Kinetics | |
Electrodynamics | |
Atomic Physics | |
Space Physics | |
ISBN: | 9783642339110 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Nonlinear Physical Science, 1867-8440 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Computer science Mathematics |
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Call number: | SPRINGER-2013-9783642337895:ONLINE Show nearby items on shelf |
Title: | Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials [electronic resource] |
Author(s): |
Jichun Li Yunqing Huang |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The purpose of this book is to provide an up-to-date introduction to the time-domain finite element methods for Maxwells equations involving metamaterials. Since the first successful construction of a metamaterial with bothnegative permittivity and p ermeability in 2000, the study of metamaterials has attracted significant attention from researchers across many disciplines. Thanks to enormous efforts on the part of engineers and physicists, metamaterialspresent great potential applications in antenna and radar design, sub-wavelength imaging, and invisibility cloak design. Hence the efficient simulation of electromagnetic phenomena in metamaterials has become a very important issue andis the subject of this book, in which various metamaterial modeling equations are introduced and justified mathematically. The development and practical implementation of edge finite element methods for metamaterial Maxwellsequations are the main focus of the book. The book finishes with some interesting simulations such as backward wave propagation and time-domain cloaking with metamaterials |
Note: | Springer eBooks |
Contents: | Introduction to Metamaterials |
Introduction to Finite Element Methods | |
Time | |
Domain Finite Element Methods for Metamaterials | |
Discontinuous Galerkin Methods for Metamaterials | |
Superconvergence Analysis for Metamaterials | |
A Posteriori Error Estimation | |
A Matlab Edge Element Code | |
Perfectly Matched Layers | |
Simulation of Metamaterials | |
References | |
Index | |
ISBN: | 9783642337895 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Computational Mathematics, 0179-3632 : v43 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation , Computer science Mathematics , Computer science , Engineering mathematics , Microwaves |
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Call number: | SPRINGER-2013-9783642321603:ONLINE Show nearby items on shelf |
Title: | Modelling and Optimisation of Flows on Networks [electronic resource] : Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle |
Author(s): |
Luigi Ambrosio Alberto Bressan Dirk Helbing Axel Klar Enrique Zuazua |
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: | In recent years flows in networks have attracted the interest of many researchers from different areas, e.g. applied mathematicians, engineers, physicists, economists. The main reason for this ubiquity is the wide and diverserange of applications, su ch as vehicular traffic, supply chains, blood flow, irrigation channels, data networks and others. This book presents an extensive set of notes by world leaders on the main mathematical techniques used toaddress such problems, together with investigations into specific applications. The main focus is on partial differential equations in networks, but ordinary differential equations and optimal transport are also included. Moreover, themodeling is completed by analysis, numerics, control and optimization o f flows in networks. The book will be a valuable resource for every researcher or student interested in the subject |
Note: | Springer eBooks |
Contents: | A Users Guide to Optimal Transport |
Hyperbolic Conservation Laws: an Illustrated Tutorial | |
Derivation of Non | |
Local Macroscopic Traffic Equations and Consistent Traffic Pressures from Microscopic Car | |
Following Models | |
On the Controversy around Daganzos Requiem for and Aw | |
Rascles Resurrection of Second | |
Order Traffic Flow Models | |
Theoretical vs. Empirical Classification and Prediction of Congested Traffic States | |
Self | |
Organized Network Flows | |
Operation Regimes and Slower | |
is | |
Faster | |
Effect in the Control of Traffic Intersections | |
Modeling and Optimization of Scalar Flows on N | |
ISBN: | 9783642321603 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2062 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Differential equations, partial |
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Call number: | SPRINGER-2013-9783642312380:ONLINE Show nearby items on shelf |
Title: | Quantum Physics in the Nanoworld [electronic resource] : Schrdinger's Cat and the Dwarfs |
Author(s): |
Hans Lth |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The book deals with all essential aspects of non-relativistic quantum physics up to the quantization of fields. In contrast to common textbooks of quantum mechanics, modern experiments are described both for the purpose offoundation of the theory and in relation to recent applications. In this respect applications to nano-electronics as well as the realization of quantum-bits are presented and discussed. Furthermore, links are made to other importantresearch fields and applications, such as elementar y particle physics, solid state physics and nuclear magnetic resonance tomography in medicine. Even though the representation of the topics is largely performed in terms of Diracsbra-ket notation and by use of commutator algebra, the concrete description of the physical basis and the corresponding theoretical concepts are emphasized. Because of little requirement of complex mathematics, the book is suitable asan introduction into quantum physics, not only for physicists but also for chemists, biologists, engineers, computer scientists and even for philosophers as far as they are interested in natural philosophy and epistomology |
Note: | Springer eBooks |
Contents: | Some Fundamental Experiments |
Particle | |
Wave Duality | |
Quantum States in Hilbert Space | |
Angular Momentum, Spin and Particle Categories | |
Approximate Solutions for Important Model Systems | |
Superposition, Entanglement and other Oddities | |
Fields and Quanta | |
ISBN: | 9783642312380 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Nanochemistry , Quantum theory , Engineering , Nanotechnology |
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Title: | High Energy Astrophysics [electronic resource] : An Introduction |
Author(s): |
Thierry J.-L Courvoisier |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | High-energy astrophysics has unveiled a Universe very different from that only known from optical observations. It has revealed many types of objects in which typical variability timescales are as short as years, months, days, andhours (in quasars, X -ray binaries, and other objects), and even down to milli-seconds in gamma ray bursts. The sources of energy that are encountered are only very seldom nuclear fusion, and most of the time gravitation, a paradox whenone thinks that gravitation is, by many orders of magnitude, the weakest of the fundamental interactions. The understanding of these objects' physical conditions and the processes revealed by high-energy astrophysics in the lastdecades is nowadays part of astrophysicists' culture, even of those active in other domains of astronomy. This book evolved from lectures given to master and PhD students at the University of Geneva since the early 1990s. It aims atproviding astronomers and physicists intending to be active in high-energy astrophysics a broad basis on which they should be able to build the more specific knowledge they will need. While in the first part of the book the physicalprocesses are described and derived in detail, the second part studies astrophysical objects in which high-energy astrophysics plays a crucial role. This two-pronged approach will help students recognise physical processes by theirobservational signatures in contexts that may differ widely from those presented here |
Note: | Springer eBooks |
Contents: | Part I Physical Processes |
1 The framework | |
2 Radiation of an accelerated charge | |
3 Bremsstrahlung | |
4 Cyclotron line emission | |
5 Synchrotron emission | |
6 Compton processes | |
7 Comptonisation | |
8 Pair Processes | |
9 Particle acceleration | |
10 Accretion | |
11 Radiation inefficient accretion flows | |
Part II Astrophysical Objects | |
12 Black holes and accretion efficiency | |
13 Neutron Stars | |
14 Pulsars | |
15 The HulseTaylor pulsar and gravitational radiation | |
16 X | |
ray binaries | |
17 X | |
ray binaries evolution | |
18 Relativistic jets | |
19 Gamma ray bursts | |
20 Active galactic | |
ISBN: | 9783642309700 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Astronomy and Astrophysics Library, 0941-7834 |
Series: | Physics and Astronomy (Springer-11651) |
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Title: | Search for the Standard Model Higgs Boson in the H ZZ l + l - qq Decay Channel at CMS [electronic resource] / by Francesco Pandolfi |
Author(s): |
Francesco Pandolfi |
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: | Thetheoretical foundations of the Standard Model of elementary particlesrelies on the existence of the Higgs boson,a particle which has been revealed for the first time by the experiments run at the Large Hadron Collider(LHC) in 2012. As the Higgs bo son is an unstable particle, its search strategies were based on its decay products. In this thesis,Francesco Pandolfi conducted a search for the Higgs boson in the H ZZ l + l - qq Decay Channelwith 4.6 fb -1 of 7 TeV proton-proton collision data collec ted by the Compact Muon Solenoid (CMS) experiment. The presence of jets in the final state poses a series of challenges to the experimenter: both from a technical point ofview, as jets are complex objects and necessitate of ad-hoc reconstruction technique s, and from an analytical one, as backgrounds with jets are copious at hadron colliders, therefore analyses must obtain high degrees of backgroundrejection in order to achieve competitive sensitivity. This is accomplished by following two directives: the use of an angular likelihood discriminant,capable of discriminating events likely to originate from the decay of a scalarboson from non-resonant backgrounds, and by using jet parton flavor tagging, selecting jets compatible with quark hadronization and di scarding jets more likely to be initiated by gluons. The events passing the selection requirements in4.6 fb -1 of data collected by the CMS detectorare examined, in the search of a possible signal compatible with the decay of a heavy Higgs boson. The thes is describes the statistical tools and the results of this analysis. This workis a paradigm for studies of the Higgs boson with final states with jets. The non-expert physicists will enjoy a complete and eminently readable description of a proton-proton c ollider analysis. At the same time, the expert reader willlearn the details of the searches done with jets at CMS |
Note: | Springer eBooks |
Contents: | Introduction |
The Hunt for the Higgs Boson | |
The Large Hadron Collider and the CMS Experiment | |
Jet Reconstruction and Calibration | |
Event Selection | |
Systematic Uncertainties | |
Statistical Interpretation of Results | |
Conclusions | |
ISBN: | 9783319009032 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2013-9783319003573:ONLINE Show nearby items on shelf |
Title: | Green's Kernels and Meso-Scale Approximations in Perforated Domains [electronic resource] |
Author(s): |
Vladimir Maz'ya Alexander Movchan Michael Nieves |
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: | There are a wide range of applications in physics and structural mechanics involving domains with singular perturbations of the boundary. Examples include perforated domains and bodies with defects of different types. Theaccurate direct numerical tre atment of such problems remains a challenge. Asymptotic approximations offer an alternative, efficient solution. Greens function is considered here as the main object of study rather than a tool forgenerating solutions of specific boundary value problems. The uniformity of the asymptotic approximations is the principal point of attention. We also show substantial links between Greens functions and solutions of boundary valueproblems for meso-scale structures. Such systems involve a large number of small i nclusions, so that a small parameter, the relative size of an inclusion, may compete with a large parameter, represented as an overall number ofinclusions. The main focus of the present text is on two topics: (a) asymptotics of Greens kernels in domains w ith singularly perturbed boundaries and (b) meso-scale asymptotic approximations of physical fields in non-periodicdomains with many inclusions. The novel feature of these asymptotic approximations is their uniformity with respect to the independent varia bles. This book addresses the needs of mathematicians, physicists and engineers, as well asresearch students interested in asymptotic analysis and numerical computations for solutions to partial differential equations |
Note: | Springer eBooks |
Contents: | Part I: Greens functions in singularly perturbed domains: Uniform asymptotic formulae for Greens functions for the Laplacian in domains with small perforations |
Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Greens kernels | |
Greens function for the Dirichlet boundary value problem in a domain with several inclusions | |
Numerical simulations based on the asymptotic approximations | |
Other examples of asymptotic approximations of Greens functions in singularly perturbed domains | |
Part II: Greens tensors for vector e | |
ISBN: | 9783319003573 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2077 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2013-9783319001197:ONLINE Show nearby items on shelf |
Title: | Logical Foundations of Mathematics and Computational Complexity [electronic resource] : A Gentle Introduction |
Author(s): |
Pavel Pudlk |
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: | The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broadspectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areasare connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability.Emphasis is on explaining the essence of concepts and the ideas of p roofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to moredifficult ones. The notes after each section present some formal definitions, theorems a nd proofs. Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who areinterested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory |
Note: | Springer eBooks |
Contents: | Mathematicians world |
Language, logic and computations | |
Set theory | |
Proofs of impossibility | |
The complexity of computations | |
Proof complexity | |
Consistency, Truth and Existence | |
References. | |
ISBN: | 9783319001197 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer software , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2013-9783319000718:ONLINE Show nearby items on shelf |
Title: | Stochastic World [electronic resource] |
Author(s): |
Sergey S Stepanov |
Date: | 2013 |
Publisher: | Heidelberg : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is an introduction into stochastic processes for physicists, biologists and financial analysts. Using an informal approach, all the necessary mathematical tools and techniques are covered, including the stochasticdifferential equations, mea n values, probability distribution functions, stochastic integration and numerical modeling. Numerous examples of practical applications of the stochastic mathematics are considered in detail, ranging fromphysics to the financial theory. A reader with bas ic knowledge of the probability theory should have no difficulty in accessing the book content |
Note: | Springer eBooks |
Contents: | Random Events |
Stochastic Equations | |
Mean Values | |
Probabilities | |
Stochastic Integrals | |
Systems of Equations | |
Stochastic Nature | |
Stochastic Society | |
Computer Modeling | |
ISBN: | 9783319000718 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematical Engineering, 2192-4732 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Distribution (Probability theory) , Mathematical physics , Statistics |
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Call number: | SPRINGER-2013-9783034806978:ONLINE Show nearby items on shelf |
Title: | Chaos [electronic resource] : Poincar Seminar 2010 |
Author(s): |
Bertrand Duplantier Stphane Nonnenmacher Vincent Rivasseau |
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 twelfth volume in the Poincar Seminar Series presents a complete and interdisciplinary perspective on the concept of Chaos, both in classical mechanics in its deterministic version, and in quantum mechanics. This bookexpounds some of the most wi de ranging questions in science, from uncovering the fingerprints of classical chaotic dynamics in quantum systems, to predicting the fate of our own planetary system. Its seven articles are also highlypedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include a complete description by the mathematician . Ghys of the paradigmatic Lorenz attractor, and of the famed Lorenz butterfly effect asit is understood today, illuminating the fundamental mathematical issues at p lay with deterministic chaos a detailed account by the experimentalist S. Fauve of the masterpiece experiment, the von Krmn Sodium or VKS experiment,which established in 2007 the spontaneous generation of a magnetic field in a strongly turbulent flow, inc luding its reversal, a model of Earths magnetic field a simple toy model by the theorist U. Smilansky the discreteLaplacian on finite d-regular expander graphs which allows one to grasp the essential ingredients of quantum chaos, including its fundament al link to random matrix theory a review by the mathematical physicists P. Bourgade andJ.P. Keating, which illuminates the fascinating connection between the distribution of zeros of the Riemann -function and the statistics of eigenvalues of random unitar y matrices, which could ultimately provide a spectralinterpretation for the zeros of the -function, thus a proof of the celebrated Riemann Hypothesis itself an article by a pioneer of experimental quantum chaos, H-J. Stckmann, who shows in detail how expe riments on the propagationof microwaves in 2D or 3D chaotic cavities beautifully verify theoretical predictions a thorough presentation by the mathematical physicist S. Nonne |
Note: | Springer eBooks |
Contents: | Foreword |
1 tienne Ghys, The Lorenz Attractor, a Paradigm for Chaos | |
2 Stphan Fauve, Chaotic Dynamos Generated by Fully Turbulent Flows | |
3 Uzy Smilansky, Discrete Graphs | |
A Paradigm Model for Quantum Chaos | |
4 Paul Bourgade and Jonathan P. Keating, Quantum Chaos, Random Matrix Theory, and the Riemann | |
function | |
5 Hans | |
Jrgen Stckmann, Chaos in Microwave Resonators | |
6 Stphane Nonnenmacher, Anatomy of Quantum Chaotic Eigenstates | |
7 Jacques Laskar, Is the Solar System Stable? | |
ISBN: | 9783034806978 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematical Physics, 1544-9998 : v66 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Number theory |
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Call number: | SPRINGER-2013-9783034806152:ONLINE Show nearby items on shelf |
Title: | Evolution Equations Arising in the Modelling of Life Sciences [electronic resource] |
Author(s): |
Messoud Efendiev |
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 modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists,doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneouslycomprise two kinds of degeneracy: porous -medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derivesrealistic life science models and their above-mentioned governing equat ions of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundaryconditions reflecting some properties of the environment, and the large-time behavior of solut ions are investigated and in some instances also studied numerically |
Note: | Springer eBooks |
Contents: | Preface |
1 Auxiliary Materials | |
2 Global attractors for autonomous evolution equations | |
3 Verifying life science models containing diffusion, transport and interaction of species | |
4 Positivity criterion for systems of stochastic PDEs | |
Existence and longtime behaviour of a biofilm model | |
6 The blood coagulation cascade in a perfusion experiment: example from pharmaceutical industry | |
Index | |
ISBN: | 9783034806152 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v163 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Biological models , Ecology , Differential equations, partial , Physiology Mathematics |
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Call number: | SPRINGER-2013-9783034805346:ONLINE Show nearby items on shelf |
Title: | Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields [electronic resource] |
Author(s): |
Yuan-Jen Chiang |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Harmonic maps between Riemannian manifolds were first established in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals ofconnections whose cur vature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introducedin 1986. The book presents an overview of the important developmentsmadein these fields since they first came up. Furthermore,it introduces biwave maps (generalizing wave maps) which were first studiedin 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated in 2008.Other topicsdiscussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields |
Note: | Springer eBooks |
Contents: | Preface. 1 Harmonic Maps |
2 Wave Maps | |
3 Yang | |
Mills Fields | |
4 Biharmonic Maps | |
5 Biwave Maps | |
6 Bi | |
Yang | |
Mills Fields | |
7 Exponential Harmonic Maps | |
8 Exponential Wave Maps | |
9.Exponential Yang | |
Mills Connections | |
Index. | |
ISBN: | 9783034805346 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Frontiers in Mathematics, 1660-8046 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis , Differential equations, partial , Global differential geometry , Mathematical optimization |
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Call number: | SPRINGER-2013-9783034805131:ONLINE Show nearby items on shelf |
Title: | Nonlinear Partial Differential Equations with Applications [electronic resource] |
Author(s): |
Tom Roubek |
Date: | 2013 |
Edition: | 2nd ed. 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 primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-)monotone or accretive oper ators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media,modelling of biological systems, or in mechani cal engineering. Selected parts aremainly an introduction into the subject while some others form an advanced textbook. Thesecond edition simplifies and extends the exposition atparticular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equationsor in mathematical modelling of distributed parameter systems. ------ The monograph contains a w ealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concreteapplications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well d one, and the presentation, although concise, is clear, elegant and rigorous. () this book is a notableaddition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the ana lysis of (...) nonlinear differential models of the real world. (MathematicalReviews) |
Note: | Springer eBooks |
Contents: | Preface |
Preface to the 2nd edition | |
Notational conventions | |
1 Preliminary general material | |
I Steady | |
state problems | |
2 Pseudomonotone or weakly continuous mappings | |
3 Accretive mappings | |
4 Potential problems: smooth case | |
5 Nonsmooth problems variational inequalities | |
6. Systems of equations: particular examples | |
II Evolution problems | |
7 Special auxiliary tools | |
8 Evolution by pseudomonotone or weakly continuous mappings | |
9 Evolution governed by accretive mappings | |
10 Evolution governed by certain set | |
valued mappings | |
11 Doubly | |
nonlinear problems | |
12 Systems o | |
ISBN: | 9783034805131 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v153 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Differential equations, partial , Computer science Mathematics , Numerical analysis |
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