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1 Schobeiri, Meinhard T Tensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein???s Special and I11930 2021 eBook  
2 Shashikanth, Banavara N Dynamically Coupled Rigid Body-Fluid Flow Systems I11880 2021 eBook  
3 Dall'Agata, Gianguido Supergravity I11876 2021 eBook  
4 Zhu, Yichao Equations and Analytical Tools in Mathematical Physics I11851 2021 eBook  
5 Dada, Michael O Computational Molecular Magnetic Resonance Imaging for Neuro-oncology I11773 2021 eBook  
6 Deriglazov, Alexei Classical Mechanics I10067 2017 eBook  
7 Scheck, Florian Mechanics I09673 2018 eBook  
8 Pastras, Georgios The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics I09024 2020 eBook  
9 Jungnickel, Christa The Second Physicist I08935 2017 eBook  
10 Balmforth, N.J Geomorphological Fluid Mechanics I11577 2001 eBook  
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TitleTensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein???s Special and General Theory of Relativity
Author(s)Schobeiri, Meinhard T
PublicationCham, Springer International Publishing, 2021.
DescriptionXIX, 241 p. 72 illus., 29 illus. in color : online resource
Abstract NoteThis book unies the common tensor analytical aspects in engineering and physics. Using tensor analysis enables the reader to understand complex physical phenomena from the basic principles in continuum mechanics including the turbulence, its correlations and modeling to the complex Einstein' tensor equation. The development of General Theory of Relativity and the introduction of spacetime geometry would not have been possible without the use of tensor analysis. This textbook is primarily aimed at students of mechanical, electrical, aerospace, civil and other engineering disciplines as well as of theoretical physics. It also covers the special needs of practicing professionals who perform CFD-simulation on a routine basis and would like to know more about the underlying physics of the commercial codes they use. Furthermore, it is suitable for self-study, provided that the reader has a sufficient knowledge of differential and integral calculus. Particular attention was paid to selecting the application examples. The transformation of Cartesian coordinate system into curvilinear one and the subsequent applications to conservation laws of continuum mechanics and the turbulence physics prepares the reader for fully understanding the Einstein tensor equations, which exhibits one of the most complex tensor equation in theoretical physics
ISBN,Price9783030357368
Keyword(s)1. Applications of Mathematics 2. Applied Dynamical Systems 3. Classical and Continuum Physics 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. Engineering Fluid Dynamics 8. ENGINEERING MATHEMATICS 9. FLUID MECHANICS 10. MATHEMATICS 11. NONLINEAR THEORIES 12. PHYSICS
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TitleDynamically Coupled Rigid Body-Fluid Flow Systems
Author(s)Shashikanth, Banavara N
PublicationCham, Springer International Publishing, 2021.
DescriptionX, 187 p. 34 illus., 9 illus. in color : online resource
Abstract NoteThis book presents a unified study of dynamically coupled systems involving a rigid body and an ideal fluid flow from the perspective of Lagrangian and Hamiltonian mechanics. It compiles theoretical investigations on the topic of dynamically coupled systems using a framework grounded in Kirchhoff???s equations. The text achieves a balance between geometric mechanics, or the modern theories of reduction of Lagrangian and Hamiltonian systems, and classical fluid mechanics, with a special focus on the applications of these principles. Following an introduction to Kirchhoff???s equations of motion, the book discusses several extensions of Kirchhoff???s work, particularly related to vortices. It addresses the equations of motions of these systems and their Lagrangian and Hamiltonian formulations. The book is suitable to mathematicians, physicists and engineers with a background in Lagrangian and Hamiltonian mechanics and theoretical fluid mechanics. It includes a brief introductory overview of geometric mechanics in the appendix
ISBN,Price9783030826468
Keyword(s)1. Applications of Mathematics 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL PHYSICS 6. MATHEMATICS
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TitleSupergravity : From First Principles to Modern Applications
Author(s)Dall'Agata, Gianguido;Zagermann, Marco
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2021.
DescriptionXIV, 294 p. 10 illus. in color : online resource
Abstract NoteThis book is about supergravity, which combines the principles of general relativity and local gauge invariance with the idea of supersymmetries between bosonic and fermionic degrees of freedom. The authors give a thorough and pedagogical introduction to the subject suitable for beginning graduate or advanced undergraduate students in theoretical high energy physics or mathematical physics. Interested researchers working in these or related areas are also addressed. The level of the presentation assumes a working knowledge of general relativity and basic notions of differential geometry as well as some familiarity with global supersymmetry in relativistic field theories. Bypassing curved superspace and other more technical approaches, the book starts from the simple idea of supersymmetry as a local gauge symmetry and derives the mathematical and physical properties of supergravity in a direct and ???minimalistic??? way, using a combination of explicit computations and geometrical reasoning. Key topics include spinors in curved spacetime, pure supergravity with and without a cosmological constant, matter couplings in global and local supersymmetry, phenomenological and cosmological implications, extended supergravity, gauged supergravity and supergravity in higher spacetime dimensions
ISBN,Price9783662639801
Keyword(s)1. Applications of Mathematics 2. Classical and Quantum Gravity 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. GRAVITATION 8. MATHEMATICAL PHYSICS 9. MATHEMATICS 10. QUANTUM FIELD THEORY 11. Theoretical, Mathematical and Computational Physics
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TitleEquations and Analytical Tools in Mathematical Physics : A Concise Introduction
Author(s)Zhu, Yichao
PublicationSingapore, Springer Nature Singapore, 2021.
DescriptionXII, 252 p. 37 illus., 29 illus. in color : online resource
Abstract NoteThis book highlights a concise and readable introduction to typical treatments of partial differential equations in mathematical physics. Mathematical physics is regarded by many as a profound discipline. In conventional textbooks of mathematical physics, the known and the new pieces of knowledge often intertwine with each other. The book aims to ease readers' struggle by facilitating a smooth transition to new knowledge. To achieve so, the author designs knowledge maps before each chapter and provides comparative summaries in each chapter whenever appropriate. Through these unique ways, readers can clarify the underlying structures among different equations and extend one's vision to the big picture. The book also emphasizes applications of the knowledge by providing practical examples. The book is intended for all those interested in mathematical physics, enabling them to develop a solid command in using partial differential equations to solve physics and engineering problems in a not-so-painful learning experience
ISBN,Price9789811654411
Keyword(s)1. Applications of Mathematics 2. DIFFERENTIAL EQUATIONS 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. MATHEMATICS
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TitleComputational Molecular Magnetic Resonance Imaging for Neuro-oncology
Author(s)Dada, Michael O;Awojoyogbe, Bamidele O
PublicationCham, Springer International Publishing, 2021.
DescriptionXXXI, 389 p. 117 illus., 109 illus. in color : online resource
Abstract NoteBased on the analytical methods and the computer programs presented in this book, all that may be needed to perform MRI tissue diagnosis is the availability of relaxometric data and simple computer program proficiency. These programs are easy to use, highly interactive and the data processing is fast and unambiguous. Laboratories (with or without sophisticated facilities) can perform computational magnetic resonance diagnosis with only T1 and T2 relaxation data. The results have motivated the use of data to produce data-driven predictions required for machine learning, artificial intelligence (AI) and deep learning for multidisciplinary and interdisciplinary research. Consequently, this book is intended to be very useful for students, scientists, engineers, the medial personnel and researchers who are interested in developing new concepts for deeper appreciation of computational magnetic Resonance Imaging for medical diagnosis, prognosis, therapy and management of tissue diseases
ISBN,Price9783030767280
Keyword(s)1. Applications of Mathematics 2. BIOPHYSICS 3. Cancer Imaging 4. Cancer???Imaging 5. EBOOK 6. EBOOK - SPRINGER 7. Magnetic Resonance (NMR, EPR) 8. MATHEMATICS 9. Neurology 10. Neurology?? 11. NUCLEAR MAGNETIC RESONANCE 12. ONCOLOGY
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TitleClassical Mechanics : Hamiltonian and Lagrangian Formalism
Author(s)Deriglazov, Alexei
PublicationCham, Springer International Publishing, 2017.
DescriptionXVI, 445 p. 53 illus : online resource
Abstract NoteThe revised edition of this advanced text provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover related topics such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material. New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition is the inclusion of problem sets and solutions to aid in the understanding of the material presented. The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student new to this field. Where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for more advanced students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included
ISBN,Price9783319441474
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Mathematical and Computational Engineering 8. MATHEMATICAL PHYSICS 9. MECHANICS 10. Mechanics, Applied 11. Solid Mechanics 12. Theoretical, Mathematical and Computational Physics
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TitleMechanics : From Newton's Laws to Deterministic Chaos
Author(s)Scheck, Florian
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2018.
DescriptionXVII, 591 p. 175 illus : online resource
Abstract NoteThis book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems and deterministic chaos in due detail. As compared to the previous editions the present 6th edition is updated and revised with more explanations, additional examples and problems with solutions, together with new??sections on applications in science. ?? Symmetries and invariance principles, the basic geometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equations of motion follow, to understand the importance of canonical mechanics and of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches of physics. ?? The book contains more than 150 problems with complete solutions, as well as some practical examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook to accompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics
ISBN,Price9783662554906
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. Dynamical Systems and Ergodic Theory 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. ERGODIC THEORY 10. MECHANICS 11. Mechanics, Applied 12. Theoretical and Applied Mechanics
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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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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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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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