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1 Bagarello, Fabio Pseudo-Bosons and Their Coherent States I12546 2022 Book  
2 Kantorovich, Lev Mathematics for Natural Scientists I12528 2022 Book  
3 Barber, J. R Elasticity I12472 2022 Book  
4 Dubovyk, Ievgen Mellin-Barnes Integrals I12461 2022 Book  
5 Tenreiro Machado, J. A Mathematical Topics on Modelling Complex Systems I12410 2022 Book  
6 Bannikova, Elena Foundations of Celestial Mechanics I12357 2022 Book  
7 Mergel, Dieter Physics with Excel and Python I12252 2022 Book  
8 Kapoor, A. K Quantum Hamilton-Jacobi Formalism I12235 2022 Book  
9 Schobeiri, Meinhard T Tensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein???s Special and I11930 2021 eBook  
10 Shashikanth, Banavara N Dynamically Coupled Rigid Body-Fluid Flow Systems I11880 2021 eBook  
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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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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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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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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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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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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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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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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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