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1 Weltner, Klaus Mathematics for Physicists and Engineers I12917 2023 eBook  
2 Kuridan, Ramadan M Neutron Transport I12838 2023 eBook  
3 Fleck, Robert Entropy and the Second Law of Thermodynamics I12837 2023 eBook  
4 ??chsner, Andreas A Simplified Approach to the Classical Laminate Theory of Composite Materials I12829 2023 eBook  
5 Nahin, Paul J The Probability Integral I12823 2023 eBook  
6 Guzm??n, Francisco S Numerical Methods for Initial Value Problems in Physics I12813 2023 eBook  
7 Plotnitsky, Arkady The Quantum-Like Revolution I12777 2023 eBook  
8 Scott, Robert B Problems and Solutions on Vector Spaces for Physicists I12756 2023 eBook  
9 Das, Tapan Kumar Quantum Mechanics I12745 2023 eBook  
10 Bay??n, Sel??uk ?? The Pursuit of Reality I12737 2023 eBook  
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TitleMathematics for Physicists and Engineers : Fundamentals and Interactive Study Guide
Author(s)Weltner, Klaus;John, S. T;Weber, Wolfgang J;Schuster, Peter;Grosjean, Jean
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2023.
DescriptionXX, 656 p. 592 illus., 4 illus. in color : online resource
Abstract NoteThis textbook takes physics and engineering undergraduates through the mathematics they need in the first years of study. It offers an accessible approach which is characterized by the combination of the textbook with a detailed study guide. This study guide, supplied as freely accessible downloads for each chapter, divides the whole learning task into small units. You will read and study a limited section of the textbook and then return to the study guide afterwards. Learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. The degree of difficulty slowly rises, which will let you gain confidence and experience your own progress, thus fostering motivation. The sequence of studies can be individualized according to performance and can be regarded as a full tutorial course. This combination of a textbook with a detailed study guide is a powerful means to meet the rising importance of learning outside of lectures at home and will be of great benefit, especially to students learning remotely
ISBN,Price9783662660683
Keyword(s)1. Applications of Mathematics 2. Chemometrics 3. EBOOK - SPRINGER 4. ENGINEERING 5. ENGINEERING MATHEMATICS 6. Mathematical and Computational Engineering Applications 7. Mathematical Applications in Chemistry 8. Mathematical Methods in Physics 9. MATHEMATICAL PHYSICS 10. MATHEMATICS
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TitleNeutron Transport : Theory, Modeling, and Computations
Author(s)Kuridan, Ramadan M
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXII, 282 p. 109 illus., 21 illus. in color : online resource
Abstract NoteThis textbook provides a thorough explanation of the physical concepts and presents the general theory of different forms through approximations of the neutron transport processes in nuclear reactors and emphasize the numerical computing methods that lead to the prediction of neutron behavior. Detailed derivations and thorough discussions are the prominent features of this book unlike the brevity and conciseness which are the characteristic of most available textbooks on the subject where students find them difficult to follow. This conclusion has been reached from the experience gained through decades of teaching. The topics covered in this book are suitable for senior undergraduate and graduate students in the fields of nuclear engineering and physics. Other engineering and science students may find the construction and methodology of tackling problems as presented in this book appealing from which they can benefit in solving other problems numerically. The book provides access to a one dimensional, two energy group neutron diffusion program including a user manual, examples, and test problems for student practice. An option of a Matlab user interface is also available
ISBN,Price9783031269325
Keyword(s)1. Computational Mathematics and Numerical Analysis 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. MATHEMATICS 6. NUCLEAR PHYSICS
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TitleEntropy and the Second Law of Thermodynamics : or Why Things Tend to Go Wrong and Seem to Get Worse
Author(s)Fleck, Robert
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXI, 130 p. 21 illus., 17 illus. in color : online resource
Abstract NoteThis book is a brief and accessible popular science text intended for a broad audience and of particular interest also to science students and specialists. Using a minimum of mathematics, a number of qualitative and quantitative examples, and clear illustrations, the author explains the science of thermodynamics in its full historical context, focusing on the concepts of energy and its availability and transformation in thermodynamic processes. His ultimate aim is to gain a deep understanding of the second law???the increase of entropy???and its rather disheartening message of a universe descending inexorably into chaos and disorder. It also examines the connection between the second law and why things go wrong in our daily lives. Readers will enhance their science literacy and feel more at home on the science side of author C. P. Snow's celebrated two-culture, science-humanities divide, and hopefully will feel more at home in the universe knowing that the disorder we deal with in our daily lives is not anyone's fault but Nature's.
ISBN,Price9783031349508
Keyword(s)1. EBOOK - SPRINGER 2. MATHEMATICS 3. Mathematics in the Humanities and Social Sciences 4. SOCIAL SCIENCES 5. Sociology 6. STATISTICAL MECHANICS 7. STATISTICAL PHYSICS 8. THERMODYNAMICS
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TitleA Simplified Approach to the Classical Laminate Theory of Composite Materials : Application of Bar and Beam Elements
Author(s)??chsner, Andreas
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXII, 122 p. 64 illus., 27 illus. in color : online resource
Abstract NoteThis book provides a systematic introduction to composite materials, which are obtained by a layer-wise stacking of one-dimensional bar/beam elements. Each layer may have different mechanical properties but each single layer is considered as isotropic. The major idea is to provide a simplified theory to easier understand the classical two-dimensional laminate theory for composites based on laminae with unidirectional fibers. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of any classical structural member known in engineering mechanics, including composite materials. The so-called classical laminate theory provides a simplified stress analysis, and a subsequent failure analysis, without the solution of the system of coupled differential equations for the unknown displacements. Theprocedure provides the solution of a statically indeterminate system based on a generalized stress???strain relationship under consideration of the constitutive relationship and the definition of the so-called stress resultants. This laminate theory is typically provided for two-dimensional plane problems, where the basic structural element is a simple superposition of a classical plane elasticity element with a thin plate element under the consideration of an orthotropic constitutive law. This two-dimensional approach and the underlying advanced continuum mechanical modeling might be very challenging for some students, particularly at universities of applied sciences. Thus, a reduced approach, the so-called simplified classical laminate theory, has been developed. The idea is to use solely isotropic one-dimensional elements, i.e., a superposition of bar and beam elements, to introduce the major calculation steps of the classical laminate theory. Understanding this simplified theory is much easier and the final step it to highlight the differences when moving to the general two-dimensional case
ISBN,Price9783031381928
Keyword(s)1. Composite materials 2. Composites 3. Computational Science and Engineering 4. CONTINUUM MECHANICS 5. EBOOK - SPRINGER 6. MATHEMATICS
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TitleThe Probability Integral : Its Origin, Its Importance, and Its Calculation
Author(s)Nahin, Paul J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXXX, 189 p. 34 illus. in color : online resource
Abstract NoteThis book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering and probability theory. Stubbornly resistant to the undergraduate toolkit for handling integrals, calculating its value and investigating its properties occupied such mathematical luminaries as De Moivre, Laplace, Poisson, and Liouville. This book introduces the probability integral, puts it into a historical context, and describes the different approaches throughout history to evaluate and analyze it. The author also takes entertaining diversions into areas of math, science, and engineering where the probability integral arises: as well as being indispensable to probability theory and statistics, it also shows up naturally in thermodynamics and signal processing. Designed to be accessibleto anyone at the undergraduate level and above, this book will appeal to anyone interested in integration techniques, as well as historians of math, science, and statistics
ISBN,Price9783031384165
Keyword(s)1. EBOOK - SPRINGER 2. ENGINEERING MATHEMATICS 3. HISTORY 4. History of Mathematical Sciences 5. History of Statistics 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. MATHEMATICS 9. Measure and Integration 10. MEASURE THEORY 11. PROBABILITIES 12. PROBABILITY THEORY 13. Statistics??
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TitleNumerical Methods for Initial Value Problems in Physics
Author(s)Guzm??n, Francisco S
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXIV, 357 p. 130 illus., 9 illus. in color : online resource
Abstract NoteThis textbook is a comprehensive overview of the construction, implementation, and application of important numerical methods for the solution of Initial Value Problems (IVPs). Beginning with IVPs involving Ordinary Differential Equations (ODEs) and progressing to problems with Partial Differential Equations (PDEs) in 1+1 and 3+1 dimensions, it provides readers with a clear and systematic progression from simple to complex concepts. The numerical methods selected in this textbook can solve a considerable variety of problems and the applications presented cover a wide range of topics, including population dynamics, chaos, celestial mechanics, geophysics, astrophysics, and more. Each chapter contains a variety of solved problems and exercises, with code included. These examples are designed to motivate and inspire readers to delve deeper into the state-of-the-art problems in their own fields. The code is written in Fortran 90, in a library-free style, making them easy to program and efficient to run. The appendix also includes the same code in C++, making the book accessible to a variety of programming backgrounds. At the end of each chapter, there are brief descriptions of how the methods could be improved, along with one or two projects that can be developed with the methods and codes described. These projects are highly engaging, from synchronization of chaos and message encryption to gravitational waves emitted by a binary system and non-linear absorption of a scalar field. With its clear explanations, hands-on approach, and practical examples, this textbook is an essential resource for advanced undergraduate and graduate students who want to the learn how to use numerical methods to tackle challenging problems
ISBN,Price9783031335563
Keyword(s)1. COMPLEX SYSTEMS 2. Computational Mathematics and Numerical Analysis 3. DIFFERENTIAL EQUATIONS 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. MATHEMATICS 8. SYSTEM THEORY
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TitleThe Quantum-Like Revolution : A Festschrift for Andrei Khrennikov
Author(s)Plotnitsky, Arkady;Haven, Emmanuel
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXV, 383 p. 36 illus., 6 illus. in color : online resource
Abstract NoteOver the last ten years, elements of the formalism of quantum mechanics have been successfully applied beyond physics in areas such as psychology (especially cognition), economics and finance (especially in the formalization of so-called ???decision making???), political science, and molecular biology. An important stream of work along these lines, commonly under the heading of quantum-like modeling, has been published in well regarded scientific journals, and major publishers have devoted entire books to the topic. This Festschrift honors a key figure in this field of research: Andrei Khrennikov, who made momentous contributions to it and to quantum foundations themselves. While honoring these contributions, and in order to do so, this Festschrift orients its reader toward the future rather than focusing on the past: it addresses future challenges and establishes the way forward in both domains, quantum-like modeling and quantum foundations. A while ago, in response to the developments of using the quantum formalism outside of quantum mechanics, the eminent quantum physicist Anton Zeilinger said, ???Why should it be precisely the quantum mechanics formalism? Maybe its generalization would be more adequate?????? This volume responds to this statement by both showing the reasons for the continuing importance of quantum formalism and yet also considering pathways to such generalizations. Khrennikov???s work has been indispensable in establishing the great promise of quantum and quantum-like thinking in shaping the future of scientific research across the disciplines
ISBN,Price9783031129865
Keyword(s)1. Cognitive psychology 2. EBOOK - SPRINGER 3. ECONOMETRICS 4. LIFE SCIENCES 5. MATHEMATICS 6. OPERATIONS RESEARCH 7. Operations Research and Decision Theory 8. PHILOSOPHY OF MATHEMATICS 9. Quantitative Economics 10. QUANTUM PHYSICS
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TitleProblems and Solutions on Vector Spaces for Physicists : From Part I in Mathematical Physics???A Modern Introduction to Its Foundations
Author(s)Scott, Robert B
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXV, 178 p. 2 illus : online resource
Abstract NoteThis book offers supporting material for the comprehensive textbook Mathematical Physics???A Modern Introduction to Its Foundations authored by Sadri Hassani. The book covers mathematical preliminaries and all of Part I in Hassani???s textbook. The subjects covered here include the key topics necessary for physicists to form a solid mathematical foundation: vectors and linear maps, algebras, operators, matrices, and spectral decomposition. In particular, the vector space concept is a central unifying theme in later chapters of Hassani???s textbook. Detailed solutions are provided to one third of the end-of-chapter exercises in the first six chapters of his text. The present volume helps upper-undergraduate and early postgraduate physics students deepen their understanding of the mathematics that they encounter in physics, learn physics more efficiently, and use mathematics with more confidence and creativity. The content is thus presented rigorously but remains accessible tophysics students. New exercises are also proposed, some with solutions, some without, so that the total number of unsolved exercises remains unchanged. They are chosen to help explain difficult concepts, amplify key points in Hassani's textbook, or make further connections with applications in physics. Taken together with Hassani's work, the two form a self-contained set and the solutions make detailed reference to Hassani's text. The solutions also refer to other mathematics and physics textbooks, providing entry points to further literature that finds a useful place in the physicist's personal library
ISBN,Price9783031312182
Keyword(s)1. Applications of Mathematics 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. MATHEMATICS 6. Theoretical, Mathematical and Computational Physics
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TitleQuantum Mechanics : Axiomatic Approach and Understanding Through Mathematics
Author(s)Das, Tapan Kumar
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXV, 314 p. 37 illus : online resource
Abstract NoteThis book provides a clear understanding of quantum mechanics (QM) by developing it from fundamental postulates in an axiomatic manner, as its central theme. The target audience is physics students at master???s level. It avoids historical developments, which are piecemeal, not logically well knitted, and may lead to misconceptions. Instead, in the present approach all of QM and all its rules are developed logically starting from the fundamental postulates only and no other assumptions. Specially noteworthy topics have been developed in a smooth contiguous fashion following the central theme. They provide a new approach to understanding QM. In most other texts, these are presented as disjoint separate topics. Since the reader may not be acquainted with advanced mathematical topics like linear vector space, a number of such topics have been presented as ???mathematical preliminary.??? Standard topics, viz. derivation of uncertainty relations, simple harmonic oscillator by operator method,bound systems in one and three dimensions, angular momentum, hydrogen-like atom, and scattering in one and three dimensions, are woven into the central theme. Advanced topics like approximation methods, spin and generalized angular momenta, addition of angular momenta, and relativistic quantum mechanics have been reserved for Volume II
ISBN,Price9789819904945
Keyword(s)1. Applications of Mathematics 2. EBOOK - SPRINGER 3. MATHEMATICAL PHYSICS 4. MATHEMATICS 5. QUANTUM ELECTRODYNAMICS 6. Quantum Electrodynamics, Relativistic and Many-body Calculations 7. QUANTUM PHYSICS 8. Theoretical, Mathematical and Computational Physics
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TitleThe Pursuit of Reality : Narrative History of the Quantum and the Great Minds That Made it
Author(s)Bay??n, Sel??uk ??
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionIX, 228 p. 55 illus., 1 illus. in color : online resource
Abstract NoteIn a highly accessible style, this book presents a narrative history of the quantum theory with the new developments that intrigue all inquisitive minds. Quantum theory is counter-intuitive and sometimes downright weird. Even Nobel Laureate physicists like Richard Feynman admit that they do not understand it. Yet, so far, there is not a shred of experimental data that conflicts with its predictions. Its effect on our lives is bound to increase with the quantum information era ushered in by the great Bohr???Einstein debate. Tantalizing applications of quantum information like teleportation, spy-proof communication, super-fast quantum computers, and more are going to influence our lives and change our beliefs about the nature of physical reality. This book takes the reader on an exhilarating journey through the intellectual history of quantum that is turning out to be more surprising every day
ISBN,Price9789819910311
Keyword(s)1. Applications of Mathematics 2. EBOOK - SPRINGER 3. MATHEMATICAL PHYSICS 4. MATHEMATICS 5. QUANTUM PHYSICS 6. Theoretical, Mathematical and Computational Physics
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