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31 Conte, Robert The Painlev?? Handbook I09128 2020 eBook  
32 Pastras, Georgios The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics I09024 2020 eBook  
33 Sasoh, Akihiro Compressible Fluid Dynamics and Shock Waves I08991 2020 eBook  
34 Skiadas, Christos H Fractional Dynamics, Anomalous Transport and Plasma Science I08971 2018 eBook  
35 Adamatzky, Andrew Cellular Automata I08961 2018 eBook  
36 McClarren, Ryan G Uncertainty Quantification and Predictive Computational Science I08959 2018 eBook  
37 Jungnickel, Christa The Second Physicist I08935 2017 eBook  
38 Kaloyerou, Panayiotis Nicos Basic Concepts of Data and Error Analysis I08874 2018 eBook  
39 Deych, Lev I Advanced Undergraduate Quantum Mechanics I08848 2018 eBook  
40 Balmforth, N.J Geomorphological Fluid Mechanics I11577 2001 eBook  
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31.    
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TitleThe Painlev?? Handbook
Author(s)Conte, Robert;Musette, Micheline
PublicationCham, Springer International Publishing, 2020.
DescriptionXXXI, 389 p. 15 illus., 6 illus. in color : online resource
Abstract NoteThis book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlev?? test and shows how Painlev?? analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schr??dinger equation, the Korteweg-de Vries equation, H??non-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlev?? function; and an overview of new results since the book???s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences
ISBN,Price9783030533403
Keyword(s)1. APPLIED MATHEMATICS 2. Chemometrics 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. ERGODIC THEORY 9. Math. Applications in Chemistry 10. Mathematical and Computational Engineering 11. Mathematical Methods in Physics 12. MATHEMATICAL PHYSICS 13. PARTIAL DIFFERENTIAL EQUATIONS 14. PHYSICS
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32.     
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TitleThe Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics : A Primer for Advanced Undergraduates
Author(s)Pastras, Georgios
PublicationCham, Springer International Publishing, 2020.
DescriptionXIII, 111 p. 14 illus., 13 illus. in color : online resource
Abstract NoteThe field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems. This book, which focuses on the Weierstrass theory of elliptic functions, aims at senior undergraduate and junior graduate students in physics or applied mathematics. Supplemented by problems and solutions, it provides a fast, but thorough introduction to the mathematical theory and presents some important applications in classical and quantum mechanics. Elementary applications, such as the simple pendulum, help the readers develop physical intuition on the behavior of the Weierstrass elliptic and related functions, whereas more Interesting and advanced examples, like the n=1 Lam?? problem-a periodic potential with an exactly solvable band structure, are also presented
ISBN,Price9783030593858
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. MATHEMATICAL PHYSICS 8. MECHANICS 9. NUCLEAR PHYSICS 10. Particle and Nuclear Physics 11. SPECIAL FUNCTIONS 12. Theoretical, Mathematical and Computational Physics
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33.     
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TitleCompressible Fluid Dynamics and Shock Waves
Author(s)Sasoh, Akihiro
PublicationSingapore, Springer Singapore, 2020.
DescriptionXII, 276 p. 204 illus., 9 illus. in color : online resource
Abstract NoteThis book offers comprehensive coverage of compressible flow phenomena and their applications, and is intended for undergraduate/graduate students, practicing professionals, and researchers interested in the topic. Thanks to the clear explanations provided of a wide range of basic principles, the equations and formulas presented here can be understood with only a basic grasp of mathematics. The book particularly focuses on shock waves, offering a unique approach to the derivation of shock wave relations from conservation relations in fluids together with a contact surface, slip line or surface; in addition, the thrust of a rocket engine and that of an air-breathing engine are also formulated. Furthermore, the book covers important fundamentals of various aspects of physical fluid dynamics and engineering, including one-dimensional unsteady flows, and two-dimensional flows, in which oblique shock waves and Prandtl-Meyer expansion can be observed
ISBN,Price9789811505041
Keyword(s)1. APPLIED MATHEMATICS 2. EBOOK 3. EBOOK - SPRINGER 4. Engineering Fluid Dynamics 5. ENGINEERING MATHEMATICS 6. FLUID MECHANICS 7. Fluid- and Aerodynamics 8. FLUIDS 9. Mathematical and Computational Engineering
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34.     
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TitleFractional Dynamics, Anomalous Transport and Plasma Science : Lectures from CHAOS2017
Author(s)Skiadas, Christos H
PublicationCham, Springer International Publishing, 2018.
DescriptionXI, 201 p. 57 illus., 33 illus. in color : online resource
Abstract NoteThis book collects interrelated lectures on fractal dynamics, anomalous transport and various historical and modern aspects of plasma sciences and technology. The origins of plasma science in connection to electricity and electric charges and devices leading to arc plasma are explored in the first contribution by Jean-Marc Ginoux and Thomas Cuff. The second important historic connection with plasmas was magnetism and the magnetron. Victor J. Law and Denis P. Dowling, in the second contribution, review the history of the magnetron based on the development of thermionic diode valves and related devices. In the third chapter, Christos H Skiadas and Charilaos Skiadas present and apply diffusion theory and solution strategies to a number of stochastic processes of interest. Anomalous diffusion by the fractional Fokker-Planck equation and L??vy stable processes are studied by Johan Anderson and Sara Moradi in the fourth contribution. They consider the motion of charged particles in a 3-dimensional magnetic field in the presence of linear friction and of a stochastic electric field. Analysis of low-frequency instabilities in a low-temperature magnetized plasma is presented by Dan-Gheorghe Dimitriu, Maricel Agop in the fifth chapter. The authors refer to experimental results of the Innsbruck Q-machine and provide an analytical formulation of the related theory. In chapter six, Stefan Irimiciuc, Dan-Gheorghe Dimitriu, Maricel Agop propose a theoretical model to explain the dynamics of charged particles in a plasma discharge with a strong flux of electrons from one plasma structure to another. The theory and applications of fractional derivatives in many-particle disordered large systems are explored by Z.Z. Alisultanov, A.M. Agalarov, A.A. Potapov, G.B. Ragimkhanov. In chapter eight, Maricel Agop, Alina Gavrilut?? and Gabriel Crumpei explore the motion of physical systems that take place on continuous but non-differentiable curves (fractal curves). Finally in the last chapter S.L. Cherkas and V.L. Kalashnikov consider the perturbations of a plasma consisting of photons, baryons, and electrons in a linearly expanding (Milne-like) universe taking into account the metric tensor and vacuum perturbations.
ISBN,Price9783030044831
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Mathematical and Computational Engineering 7. PLASMA (IONIZED GASES) 8. PLASMA PHYSICS 9. PROBABILITIES 10. Probability Theory and Stochastic Processes 11. STATISTICAL PHYSICS
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35.     
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TitleCellular Automata : A Volume in the Encyclopedia of Complexity and Systems Science, Second Edition
Author(s)Adamatzky, Andrew
PublicationNew York, NY, Springer US, 2018.
Description425 illus., 190 illus. in color. eReference : online resource
Abstract NoteThis volume of the Encyclopedia of Complexity and Systems Science, Second Edition, provides an authoritative introduction and overview of the latest research in cellular automata (CA) models of physical systems, emergent phenomena, computational universality, chaos, growth phenomena, phase transitions, self-organised criticality, reaction-diffusion systems, self-replications, parallel computation, and more. Fundamental topics of algorithmic complexity, algebraic groups, language theory, evolving CA, ergodic theory, synchronisation, tiling problems and undecidability and topological dynamics of CA are addressed. Cellular automata are regular uniform networks of locally-connected finite-state machines, and represent discrete systems with non-trivial behavior, including waves, patterns and travelling localisations. CA are ubiquitous: they are mathematical models of computation and computer models of natural systems. Classes of CA presented in this book include additive CA, automata in hyperbolic spaces and non-compact spaces, CA in triangular, pentagonal and hexagonal tessellations, automata with memory, quantum and reversible automata, structurally-dynamic CA, and asynchronous automata. Topics added to the second edition include: asynchronous cellular automata, stochastic cellular automata as models of reaction-diffusion processes, cellular automata hardware implementation, cellular automata basins of attraction, orbits of Bernoulli measures in cellular automata, and graphs related to reversibility and complexity in cellular. This state-of-the-art reference is unique in bringing together unequalled expertise of interdisciplinary studies at the edge of mathematics, computer science, and physics
ISBN,Price9781493987009
Keyword(s)1. APPLIED MATHEMATICS 2. COMPLEX SYSTEMS 3. Computation by Abstract Devices 4. Computer logic 5. Computer science???Mathematics 6. COMPUTERS 7. DISCRETE MATHEMATICS 8. Discrete Mathematics in Computer Science 9. DYNAMICAL SYSTEMS 10. EBOOK 11. EBOOK - SPRINGER 12. ENGINEERING MATHEMATICS 13. Logics and Meanings of Programs 14. Mathematical and Computational Engineering 15. STATISTICAL PHYSICS
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36.     
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TitleUncertainty Quantification and Predictive Computational Science : A Foundation for Physical Scientists and Engineers
Author(s)McClarren, Ryan G
PublicationCham, Springer International Publishing, 2018.
DescriptionXVII, 345 p. 141 illus., 99 illus. in color : online resource
Abstract NoteThis textbook teaches the essential background and skills for understanding and quantifying uncertainties in a computational simulation, and for predicting the behavior of a system under those uncertainties. It addresses a critical knowledge gap in the widespread adoption of simulation in high-consequence decision-making throughout the engineering and physical sciences.Constructing sophisticated techniques for prediction from basic building blocks, the book first reviews the fundamentals that underpin later topics of the book including probability, sampling, and Bayesian statistics. Part II focuses on applying local sensitivity analysis to apportion uncertainty in the model outputs to sources of uncertainty in its inputs. Part III demonstrates techniques for quantifying the impact of parametric uncertainties on a problem, specifically how input uncertainties affect outputs. The final section covers techniques for applying uncertainty quantification to make predictions under uncertainty, including treatment of epistemic uncertainties. It presents the theory and practice of predicting the behavior of a system based on the aggregation of data from simulation, theory, and experiment. The text focuses on simulations based on the solution of systems of partial differential equations and includes in-depth coverage of Monte Carlo methods, basic design of computer experiments, as well as regularized statistical techniques. Code references, in R and python, appear throughout the text and online as executable code, enabling readers to perform the analysis under discussion. Worked examples from realistic, model problems help readers understand the mechanics of applying the methods. Each chapter ends with several assignable problems. Uncertainty Quantification and Predictive Computational Science fills the growing need for a classroom text for senior undergraduate and first year graduate students in the engineering and physical sciences and supports independent study by researchers and professionals who must include uncertainty quantification and predictive science in the simulations they develop and/or perform. Organizes interdisciplinary topics of uncertainty quantification into a single teaching text Reviews the fundamentals of probability and statistics Guides the transition from merely performing calculations to making confident predictions Builds readers??? confidence in the validity of their simulations Illustrates concepts with real-world examples and models from the physical sciences and engineering Includes R and python code, enabling readers to perform the analysis
ISBN,Price9783319995250
Keyword(s)1. APPLIED MATHEMATICS 2. Computational Science and Engineering 3. Computer mathematics 4. COMPUTER SIMULATION 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. Mathematical Applications in the Physical Sciences 10. MATHEMATICAL PHYSICS 11. Numerical and Computational Physics, Simulation 12. PHYSICS 13. Simulation and Modeling 14. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences 15. Statistics??
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37.     
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TitleThe Second Physicist : On the History of Theoretical Physics in Germany
Author(s)Jungnickel, Christa;McCormmach, Russell
PublicationCham, Springer International Publishing, 2017.
DescriptionXXXI, 460 p. 15 illus : online resource
Abstract NoteThis book explores the rise of theoretical physics in 19th century Germany. The authors show how the junior second physicist in German universities over time became the theoretical physicist, of equal standing to the experimental physicist. Gustav Kirchhoff, Hermann von Helmholtz, and Max Planck are among the great German theoretical physicists whose work and career are examined in this book. Physics was then the only natural science in which theoretical work developed into a major teaching and research specialty in its own right. Readers will discover how German physicists arrived at a well-defined field of theoretical physics with well understood and generally accepted goals and needs. The authors explain the nature of the work of theoretical physics with many examples, taking care always to locate the research within the workplace. The book is a revised and shortened version of Intellectual Mastery of Nature: Theoretical Physics from Ohm to Einstein, a two-volume work by the same authors. This new edition represents a reformulation of the larger work. It retains what is most important in the original work, while including new material, sharpening discussions, and making the research more accessible to readers. It presents a thorough examination of a seminal era in physics
ISBN,Price9783319495651
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. EPISTEMOLOGY 7. HISTORY 8. HISTORY OF SCIENCE 9. MATHEMATICAL PHYSICS 10. Theoretical, Mathematical and Computational Physics
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38.     
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TitleBasic Concepts of Data and Error Analysis : With Introductions to Probability and Statistics and to Computer Methods
Author(s)Kaloyerou, Panayiotis Nicos
PublicationCham, Springer International Publishing, 2018.
DescriptionXX, 259 p. 405 illus., 42 illus. in color : online resource
Abstract NoteThis introductory textbook explains the concepts and methods of data and error analysis needed for laboratory experiment write-ups, especially physics and engineering experiments. The book contains the material needed for beginning students, e.g., first year university students, college students (enrolled on a certificate or diploma course) and even A-level students. Nevertheless, it also covers the required material for higher year university laboratories, including the final year. Only essential concepts and methods needed for the day-to-day performance of experiments and their subsequent analysis and presentation are included and, at the same time, presented as simply as possible. Non-essential detail is avoided. Chapter five is a stand-alone introduction to probability and statistics aimed at providing a theoretical background to the data and error analysis chapters one to four. Computer methods are introduced in Chapter six. The author hopes this book will serve as a constant reference
ISBN,Price9783319958767
Keyword(s)1. APPLIED MATHEMATICS 2. Classical and Continuum Physics 3. Continuum physics 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Mathematical and Computational Engineering 8. Measurement Science and Instrumentation 9. Measurement?????? 10. PHYSICAL MEASUREMENTS 11. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences 12. Statistics??
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39.     
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TitleAdvanced Undergraduate Quantum Mechanics : Methods and Applications
Author(s)Deych, Lev I
PublicationCham, Springer International Publishing, 2018.
DescriptionXIX, 610 p. 50 illus., 26 illus. in color : online resource
Abstract NoteThis introduction to quantum mechanics is intended for undergraduate students of physics, chemistry, and engineering with some previous exposure to quantum ideas. Following in Heisenberg???s and Dirac???s footsteps, this book is centered on the concept of the quantum state as an embodiment of all experimentally available information about a system, and its representation as a vector in an abstract Hilbert space. This conceptual framework and formalism are introduced immediately, and developed throughout the first four chapters, while the standard Schr??dinger equation does not appear until Chapter 5. The book grew out of lecture notes developed by the author over fifteen years of teaching at the undergraduate level. In response to numerous requests by students, material is presented with an unprecedented level of detail in both derivation of technical results and discussion of their physical significance.?? The book is written for students to enjoy reading it, rather than to use only as a source of formulas and examples. The colloquial and personal writing style makes it easier for readers to connect with the material. Additionally, readers will find short, relatable snippets about the ???founding fathers??? of quantum theory, their difficult historical circumstances, personal failings and triumphs, and often tragic fate. This textbook, complete with extensive original end-of-chapter exercises, is recommended for use in one- or two-semester courses for upper level undergraduate and beginning graduate students in physics, chemistry, or engineering
ISBN,Price9783319715506
Keyword(s)1. APPLIED MATHEMATICS 2. Chemistry, Physical and theoretical 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Mathematical and Computational Engineering 7. Mathematical Applications in the Physical Sciences 8. Mathematical Methods in Physics 9. MATHEMATICAL PHYSICS 10. PHYSICS 11. QUANTUM OPTICS 12. QUANTUM PHYSICS 13. Theoretical and Computational Chemistry
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40.    
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TitleGeomorphological Fluid Mechanics
Author(s)Balmforth, N.J;Provenzale, A
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2001.
DescriptionX, 582 p : online resource
Abstract NoteGeomorphology deals with some of the most striking patterns of nature. From mountain ranges and mid-ocean ridges, to river networks and sand dunes, there is a whole family of forms, structures, and shapes that demand rationalization as well as mathematical description. In the various chapters of this volume, many of these patterns will be explored and discussed, and attempts will be made to both unravel the reasons for their very existence and to describe their dynamics in quantitative terms. Particular focus will be on lava and mud flows, ice and snow dynamics, river and coastal morphodynamics and landscape formation. Combining a pedagogical approach with up-to-date reviews of forefront research, this volume will serve both postgraduate students and lecturers in search of advanced textbook material, and experienced researchers wishing to get acquainted with the various physical and mathematical approaches in a range of closely related research fields
ISBN,Price9783540456704
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EARTH SCIENCES 6. Earth Sciences, general 7. EBOOK 8. EBOOK - SPRINGER 9. ENGINEERING MATHEMATICS 10. Fluid- and Aerodynamics 11. FLUIDS 12. GEOLOGY 13. GEOPHYSICS 14. Geophysics/Geodesy 15. STATISTICAL PHYSICS
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