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1 Tsamparlis, Michael Solved Problems and Systematic Introduction to Special Relativity I13022 2024 eBook  
2 Moser, Tijmen Jan Walking with Christiaan Huygens I12994 2024 eBook  
3 Weltner, Klaus Mathematics for Physicists and Engineers I12917 2023 eBook  
4 Scott, Robert B Problems and Solutions on Vector Spaces for Physicists I12756 2023 eBook  
5 Das, Tapan Kumar Quantum Mechanics I12745 2023 eBook  
6 Bay??n, Sel??uk ?? The Pursuit of Reality I12737 2023 eBook  
7 Umantsev, Alexander Field Theoretic Method in Phase Transformations I12733 2023 eBook  
8 Strohm, Thomas Special Relativity for the Enthusiast I12709 2023 eBook  
9 Bagarello, Fabio Pseudo-Bosons and Their Coherent States I12546 2022 Book  
10 Kantorovich, Lev Mathematics for Natural Scientists I12528 2022 Book  
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TitleSolved Problems and Systematic Introduction to Special Relativity
Author(s)Tsamparlis, Michael
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2024.
DescriptionXX, 485 p. 65 illus., 1 illus. in color : online resource
Abstract NoteIn most undergraduate physics classes Special Relativity is taught from a simplistic point of view using Newtonian concepts rather than the relativistic way of thinking. This results in students often finding it difficult to understand properly the new approach/new ideas, and consequently to solve relativistic problems. Furthermore, a number of books treat the theory using advanced mathematics which is not necessary for the first approach to the theory. This book is intended to serve two roles: a. To treat a student in a systematic constructive way to the basic structure of the theory and b. To provide a large number of solved in-detail problems in the kinematics and dynamics of Special Relativity. Concerning the first aim the book introduces the basics of four-dimensional mathematics, i.e., Lorentz metric, relativistic tensors, and prepares, through working examples, the transition to General Relativity, which requires, besides the relativistic concepts, the use of Differential Geometry and tensor analysis. The presentation is concise and does not replace a book on Special Relativity. Concerning the second intention the large number of problems provides the necessary material which can be used in order to familiarize the student with the relativistic ???world???. These problems can be used in the class by the teachers either as working examples or as problem sheets. It will be our pleasure if the book will be useful to both students and teachers
ISBN,Price9783031317064
Keyword(s)1. ALGEBRAIC GEOMETRY 2. Applications of Mathematics 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICS 7. MECHANICS 8. QUANTUM ELECTRODYNAMICS 9. Quantum Electrodynamics, Relativistic and Many-body Calculations 10. SPECIAL RELATIVITY 11. Special relativity (Physics)
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TitleWalking with Christiaan Huygens : From Archimedes' Influence to Unsung Contributions in Modern Science
Author(s)Moser, Tijmen Jan;Robinson, Enders Anthony
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXXXI, 315 p. 158 illus., 56 illus. in color : online resource
Abstract NoteDutch scientist Christiaan Huygens (1629-1695) left an indelible mark on the fields of mathematics, physics, astronomy, and geophysics. Despite his groundbreaking contributions, history has often overlooked his pivotal role. While two of the most famous achievements in physics are Newton???s theory of gravity and Einstein???s general theory of relativity, less well-known is that Huygens provided central elements to these theories. This book stands to correct that deficit. For example, we show how Huygens used symmetry arguments to derive conservation laws for momentum and for energy, and what Einstein later called the principle of equivalence to derive the formula for centrifugal force. In 1689, Huygens visited Newton. Together, they walked the streets of London. Newton had recently finished his masterpiece, Principia, expounding his laws of motion and the law of universal gravitation. Huygens had essentially completed his life???s work by then, building on Archimedes, Leonardo da Vinci, Galileo, Descartes, Fermat, Pascal and his own ingenuity. He had established fame as an instrument maker (telescope, pendulum clock, planetarium). He had invented the 31 tone system. He had pioneered the first principles of remote sensing. He had discovered the rings of Saturn. He had formulated the wave theory of light. What would walking with Christiaan reveal? This book gives the result in nine chapters, namely: spontaneous order, the speed of light, Huygens??? principle, the telescope, the pendulum clock, Huygens-Fresnel principle, special relativity, centrifugal force, and curvature. In addition, there is a chapter titled What Huygens could have written on diffraction, and a chapter titled Huygens and Geophysics. Mentally walking with Christiaan, browsing his collected works ??? a true treasure trove for puzzle enthusiasts ??? and rethinking his ideas creates a vivid impression of scientific life in the 17th century, an appreciation that it is remarkably similar to ours, and an understanding of Huygens' significant and lasting contributions to science
ISBN,Price9783031461583
Keyword(s)1. Applications of Mathematics 2. Astronomers 3. ASTRONOMY 4. Biographies of Physicists and Astronomers 5. EBOOK 6. EBOOK - SPRINGER 7. History of Physics and Astronomy 8. HISTORY OF SCIENCE 9. MATHEMATICS 10. Physicists 11. PHYSICS 12. PHYSICS AND ASTRONOMY 13. SCIENCE
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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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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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TitleField Theoretic Method in Phase Transformations
Author(s)Umantsev, Alexander
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXXV, 503 p. 1 illus : online resource
Abstract NoteThis book describes a novel and popular method for the theoretical and computational study of phase transformations and materials processing in condensed and soft matter. The field theoretic method for the study of phase transformations in material systems, also known as the phase-field method, allows one to analyze different stages of transformations within a unified framework. It has received significant attention in the materials science community due to many recent successes in solving or illuminating important problems. In a single volume, this book addresses the fundamentals of the method starting from the basics of the field theoretic method along with its most important theoretical and computational results and some of the most advanced recent results and applications. Now in a revised and expanded second edition, the text is updated throughout and includes material on the classical theory of phase transformations. This book serves as both a primer in the area of phase transformations for those new to the field and as a guide for the more seasoned researcher. It is also of interest to historians of physics
ISBN,Price9783031296055
Keyword(s)1. Applications of Mathematics 2. CONDENSED MATTER 3. EBOOK - SPRINGER 4. ELECTRONIC DEVICES 5. MATERIALS SCIENCE 6. MATHEMATICS 7. Mechanics, Applied 8. Phase Transitions and Multiphase Systems 9. Solid Mechanics 10. SOLID STATE PHYSICS 11. SOLIDS
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TitleSpecial Relativity for the Enthusiast
Author(s)Strohm, Thomas
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXVI, 344 p. 149 illus., 137 illus. in color : online resource
Abstract NoteThis textbook introduces special relativity with a focus on a profound understanding of the physics behind the theory. The main part of the book is targeted to undergraduates, for physics education, for undergraduate students in natural sciences in general, and even to interested laypersons. To serve these target groups, the book uses only basic mathematics and, in contrast to many other introductions to special relativity, the book is based on a pedagogical approach that relies on geometry and space-time diagrams to make the surprising predictions of the theory particularly clear. Special relativity is a geometric theory, and space-time diagrams are an efficient and easily understandable way to comprehend its implications. The textbook, however, is also suitable for advanced students and enthusiasts that already learned the basics of the special theory of relativity and want to know more. Special digression sections provide plenty of interesting material. Carefully selected problems with solutions and in-depth explanations for all key experiments help deepen the knowledge
ISBN,Price9783031219245
Keyword(s)1. Applications of Mathematics 2. Classical and Quantum Gravity 3. EBOOK - SPRINGER 4. GRAVITATION 5. MATHEMATICS 6. SCIENCE 7. SCIENCE EDUCATION
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TitlePseudo-Bosons and Their Coherent States
Author(s)Bagarello, Fabio
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXI, 201 p. 5 illus. in color : online resource
Abstract NoteThis book is based on the analysis of canonical commutation relations (CCRs) and their possible deformations. In light of the recent interest on PT-quantum mechanics, the author presents a special deformed version of the CCRs, and discusses the consequences of this deformation both from a mathematical side, and for its possible applications to physics. These include the analysis of several non self-adjoint Hamiltonians, a novel view to the position and momentum operators, and a general approach to compute path integrals and transition probabilities using the so-called bi-coherent states. The book is meant for researchers and is also suited for advanced students. It can be used as a gentle introduction to some delicate aspects in functional analysis and in quantum mechanics for non self-adjoint observables
ISBN,Price9783030949990
Keyword(s)1. Applications of Mathematics 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. MATHEMATICS 7. QUANTUM PHYSICS
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TitleMathematics for Natural Scientists : Fundamentals and Basics
Author(s)Kantorovich, Lev
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXXIII, 768 p. 189 illus., 163 illus. in color : online resource
Abstract NoteThis book, now in a second revised and enlarged edition, covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students and avoiding unnecessary mathematical jargon and proofs that are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and sufficiently convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book. The second edition includes more on advanced algebra, polynomials and algebraic equations in significantly extended first two chapters on elementary mathematics, numerical and functional series and ordinary differential equations. Improvements have been made in all other chapters, with inclusion of additional material, to make the presentation clearer, more rigorous and coherent, and the number of problems has been increased at least twofold. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume the second edition of which the author is currently being working on
ISBN,Price9783030912222
Keyword(s)1. Applications of Mathematics 2. Chemometrics 3. Diseases 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Engineering???Data processing 8. Mathematical and Computational Engineering Applications 9. Mathematical Applications in Chemistry 10. Mathematical Methods in Physics 11. MATHEMATICAL PHYSICS 12. MATHEMATICS 13. Theoretical, Mathematical and Computational Physics
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