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11 Barber, J. R Elasticity I12472 2022 Book  
12 Dubovyk, Ievgen Mellin-Barnes Integrals I12461 2022 Book  
13 Tenreiro Machado, J. A Mathematical Topics on Modelling Complex Systems I12410 2022 Book  
14 Bannikova, Elena Foundations of Celestial Mechanics I12357 2022 Book  
15 Mergel, Dieter Physics with Excel and Python I12252 2022 Book  
16 Kapoor, A. K Quantum Hamilton-Jacobi Formalism I12235 2022 Book  
17 Schobeiri, Meinhard T Tensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein???s Special and I11930 2021 eBook  
18 Shashikanth, Banavara N Dynamically Coupled Rigid Body-Fluid Flow Systems I11880 2021 eBook  
19 Dall'Agata, Gianguido Supergravity I11876 2021 eBook  
20 Zhu, Yichao Equations and Analytical Tools in Mathematical Physics I11851 2021 eBook  
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11.    
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TitleElasticity
Author(s)Barber, J. R
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXX, 637 p. 131 illus., 2 illus. in color : online resource
Abstract NoteThis book emphasizes engineering applications of elasticity. This is a first-year graduate textbook in linear elasticity. It is written with the practical engineering reader in mind, dependence on previous knowledge of solid mechanics, continuum mechanics or mathematics being minimized. Examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. This 4th edition presents new and revised material, notably on the Eshelby inclusion problem and anisotropic elasticity. The topics covered are chosen with a view to modern research applications in fracture mechanics, composite materials, tribology and numerical methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermoelasticity, singular asymptotic stress fields and three-dimensional problems
ISBN,Price9783031152146
Keyword(s)1. Applications of Mathematics 2. Classical and Continuum Physics 3. EBOOK 4. EBOOK - SPRINGER 5. Engineering Fluid Dynamics 6. ENGINEERING MATHEMATICS 7. Engineering???Data processing 8. FLUID MECHANICS 9. Mathematical and Computational Engineering Applications 10. MATHEMATICS 11. MECHANICAL ENGINEERING 12. Mechanics, Applied 13. PHYSICS 14. Solid Mechanics 15. SOLIDS
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12.     
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TitleMellin-Barnes Integrals : A Primer on Particle Physics Applications
Author(s)Dubovyk, Ievgen;Gluza, Janusz;Somogyi, G??bor
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXVIII, 283 p. 21 illus. in color : online resource
Abstract NoteIn this book, the authors discuss the Mellin-Barnes representation of complex multidimensional integrals. Experiments frontiered by the High-Luminosity Large Hadron Collider at CERN and future collider projects demand the development of computational methods to achieve the theoretical precision required by experimental setups. In this regard, performing higher-order calculations in perturbative quantum field theory is of paramount importance. The Mellin-Barnes integrals technique has been successfully applied to the analytic and numerical analysis of integrals connected with virtual and real higher-order perturbative corrections to particle scattering. Easy-to-follow examples with the supplemental online material introduce the reader to the construction and the analytic, approximate, and numeric solution of Mellin-Barnes integrals in Euclidean and Minkowskian kinematic regimes. It also includes an overview of the state-of-the-art software packages for manipulating and evaluating Mellin-Barnes integrals. The book is meant for advanced students and young researchers to master the theoretical background needed to perform perturbative quantum field theory calculations
ISBN,Price9783031142727
Keyword(s)1. Applications of Mathematics 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. FUNCTIONS OF COMPLEX VARIABLES 7. MATHEMATICAL PHYSICS 8. MATHEMATICS 9. QUANTUM FIELD THEORY 10. Several Complex Variables and Analytic Spaces 11. Theoretical, Mathematical and Computational Physics
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13.     
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TitleMathematical Topics on Modelling Complex Systems : In Memory of Professor Valentin Afraimovich
Author(s)Tenreiro Machado, J. A;Volchenkov, Dimitri
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2022.
DescriptionX, 184 p. 64 illus., 54 illus. in color : online resource
Abstract NoteThis book explores recent developments in theoretical research and mathematical modelling of real-world complex systems, organized in four parts. The first part of the book is devoted to the mathematical tools for the design and analysis in engineering and social science study cases. We discuss the periodic evolutions in nonlinear chemical processes, vibro-compact systems and their behaviour, different types of metal???semiconductor self-assembled samples, made of silver nanowires and zinc oxide nanorods. The second part of the book is devoted to mathematical description and modelling of the critical events, climate change and robust emergency scales. In three chapters, we consider a climate-economy model with endogenous carbon intensity and the behaviour of Tehran Stock Exchange market under international sanctions. The third part of the book is devoted to fractional dynamic and fractional control problems. We discuss the novel operational matrix technique for variable-order fractional optimal control problems, the nonlinear variable-order time fractional convection???diffusion equation with generalized polynomials The fourth part of the book concerns solvability and inverse problems in differential and integro-differential equations. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists and urban planners
ISBN,Price9789811641695
Keyword(s)1. Applications of Mathematics 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICS 7. SYSTEM THEORY
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14.     
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TitleFoundations of Celestial Mechanics
Author(s)Bannikova, Elena;Capaccioli, Massimo
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXX, 392 p. 115 illus., 96 illus. in color : online resource
Abstract NoteThis book provides an introduction to classical celestial mechanics. It is based on lectures delivered by the authors over many years at both Padua University (MC) and V.N. Karazin Kharkiv National University (EB). The book aims to provide a mathematical description of the gravitational interaction of celestial bodies. The approach to the problem is purely formal. It allows the authors to write equations of motion and solve them to the greatest degree possible, either exactly or by approximate techniques, when there is no other way. The results obtained provide predictions that can be compared with the observations. Five chapters are supplemented by appendices that review certain mathematical tools, deepen some questions (so as not to interrupt the logic of the mainframe with heavy technicalities), give some examples, and provide an overview of special functions useful here, as well as in many other fields of physics. The authors also present the original investigation of torus potential. This book is aimed at senior undergraduate students of physics or astrophysics, as well as graduate students undertaking a master???s degree or Ph.D
ISBN,Price9783031045769
Keyword(s)1. Applications of Mathematics 2. Astronomy, Observations and Techniques 3. Astronomy???Observations 4. Classical and Quantum Gravity 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. GENERAL RELATIVITY 9. GENERAL RELATIVITY (PHYSICS) 10. GRAVITATION 11. GRAVITATIONAL PHYSICS 12. MATHEMATICS
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15.     
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TitlePhysics with Excel and Python : Using the Same Data Structure Volume I: Basics, Exercises and Tasks
Author(s)Mergel, Dieter
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXVII, 482 p. 455 illus., 26 illus. in color : online resource
Abstract NoteThis book is intended to serve as a basic introduction to scientific computing by treating problems from various areas of physics - mechanics, optics, acoustics, and statistical reasoning in the context of the evaluation of measurements. After working through these examples, students are able to independently work on physical problems that they encounter during their studies. For every exercise, the author introduces the physical problem together with a data structure that serves as an interface to programming in Excel and Python. When a solution is achieved in one application, it can easily be translated into the other one and presumably any other platform for scientific computing. This is possible because the basic techniques of vector and matrix calculation and array broadcasting are also achieved with spreadsheet techniques, and logical queries and for-loops operate on spreadsheets from simple Visual Basic macros. So, starting to learn scientific calculation with Excel, e.g., at High School, is a targeted road to scientific computing. The primary target groups of this book are students with a major or minor subject in physics, who have interest in computational techniques and at the same time want to deepen their knowledge of physics. Math, physics and computer science teachers and Teacher Education students will also find a companion in this book to help them integrate computer techniques into their lessons. Even professional physicists who want to venture into Scientific Computing may appreciate this book
ISBN,Price9783030823252
Keyword(s)1. Applications of Mathematics 2. Classical and Continuum Physics 3. EBOOK 4. EBOOK - SPRINGER 5. LASER 6. LASERS 7. MATHEMATICAL PHYSICS 8. MATHEMATICS 9. PHYSICS 10. Theoretical, Mathematical and Computational Physics
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16.     
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TitleQuantum Hamilton-Jacobi Formalism
Author(s)Kapoor, A. K;Panigrahi, Prasanta K;Ranjani, S. Sree
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXV, 112 p. 13 illus., 3 illus. in color : online resource
Abstract NoteThis book describes the Hamilton-Jacobi formalism of quantum mechanics, which allows computation of eigenvalues of quantum mechanical potential problems without solving for the wave function. The examples presented include exotic potentials such as quasi-exactly solvable models and Lame an dassociated Lame potentials. A careful application of boundary conditions offers an insight into the nature of solutions of several potential models. Advanced undergraduates having knowledge of complex variables and quantum mechanics will find this as an interesting method to obtain the eigenvalues and eigen-functions. The discussion on complex zeros of the wave function gives intriguing new results which are relevant for advanced students and young researchers. Moreover, a few open problems in research are discussed as well, which pose a challenge to the mathematically oriented readers
ISBN,Price9783031106248
Keyword(s)1. Applications of Mathematics 2. EBOOK 3. EBOOK - SPRINGER 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. MATHEMATICAL PHYSICS 7. MATHEMATICS 8. QUANTUM PHYSICS 9. Theoretical, Mathematical and Computational Physics
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17.     
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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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18.     
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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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19.     
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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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20.    
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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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