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Author | Title | Accn# | Year | Item Type | Claims |
| 31 |
Rychkov, Slava |
EPFL Lectures on Conformal Field Theory in D ??? 3 Dimensions |
I09765 |
2017 |
eBook |
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| 32 |
Tanaka, Akinori |
Superconformal Index on RP2 ?? S1 and 3D Mirror Symmetry |
I09758 |
2016 |
eBook |
|
| 33 |
Beisbart, Claus |
Thinking About Space and Time |
I09723 |
2020 |
eBook |
|
| 34 |
Tsamparlis, Michael |
Special Relativity |
I09709 |
2019 |
eBook |
|
| 35 |
Landi, Giovanni |
Linear Algebra and Analytic Geometry for Physical Sciences |
I09687 |
2018 |
eBook |
|
| 36 |
Chong, Christopher |
Coherent Structures in Granular Crystals |
I09682 |
2018 |
eBook |
|
| 37 |
Carfora, Mauro |
Quantum Triangulations |
I09664 |
2017 |
eBook |
|
| 38 |
Kanazawa, Kiyoshi |
Statistical Mechanics for Athermal Fluctuation |
I09662 |
2017 |
eBook |
|
| 39 |
Maximon, Leonard C |
Differential and Difference Equations |
I09655 |
2016 |
eBook |
|
| 40 |
Dittrich, Walter |
Classical and Quantum Dynamics |
I09645 |
2016 |
eBook |
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31.
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| Title | EPFL Lectures on Conformal Field Theory in D ??? 3 Dimensions |
| Author(s) | Rychkov, Slava |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | XII, 72 p. 14 illus., 12 illus. in color : online resource |
| Abstract Note | This primer develops Conformal Field Theory (CFT) from scratch, whereby CFT is viewed as any conformally-invariant theory that describes a fixed point of a renormalization group flow in quantum field theory. The book is divided into four lectures: Lecture 1 addresses the physical foundations of conformal invariance, while Lecture 2 examines the constraints imposed by conformal symmetry on the correlation functions of local operators, presented using the so-called projective null cone ??? a procedure also known as the embedding formalism. In turn, Lecture 3 focuses on the radial quantization and the operator product expansion, while Lecture 4 offers a very brief introduction to the conformal bootstrap. Derived from course-based notes, these lectures are intended as a first point of entry to this topic for Master and PhD students alike |
| ISBN,Price | 9783319436265 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. Mathematical Applications in the Physical Sciences
6. MATHEMATICAL PHYSICS
7. Quantum Field Theories, String Theory
8. QUANTUM FIELD THEORY
9. STRING THEORY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09765 |
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On Shelf |
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32.
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| Title | Superconformal Index on RP2 ?? S1 and 3D Mirror Symmetry |
| Author(s) | Tanaka, Akinori |
| Publication | Singapore, Springer Singapore, 2016. |
| Description | XII, 83 p : online resource |
| Abstract Note | The author introduces the supersymmetric localization technique, a new approach for computing path integrals in quantum field theory on curved space (time) defined with interacting Lagrangian. The author focuses on a particular quantity called the superconformal index (SCI), which is defined by considering the theories on the product space of two spheres and circles, in order to clarify the validity of so-called three-dimensional mirror symmetry, one of the famous duality proposals. In addition to a review of known results, the author presents a new definition of SCI by considering theories on the product space of real-projective space and circles. In this book, he explains the concept of SCI from the point of view of quantum mechanics and gives localization computations by reducing field theoretical computations to many-body quantum mechanics. He applies his new results of SCI with real-projective space to test three-dimensional mirror symmetry, one of the dualities of quantum field theory. Real-projective space is known to be an unorientable surface like the Mobius strip, and there are many exotic effects resulting from Z2 holonomy of the surface. Thanks to these exotic structures, his results provide completely new evidence of three-dimensional mirror symmetry. The equivalence expected from three-dimensional mirror symmetry is transformed into a conjectural non-trivial mathematical identity through the new SCI, and he performs the proof of the identity using a q-binomial formula |
| ISBN,Price | 9789811013980 |
| Keyword(s) | 1. ALGEBRA
2. EBOOK
3. EBOOK - SPRINGER
4. Field theory (Physics)
5. Field Theory and Polynomials
6. Mathematical Applications in the Physical Sciences
7. MATHEMATICAL PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09758 |
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On Shelf |
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33.
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| Title | Thinking About Space and Time : 100 Years of Applying and Interpreting General Relativity |
| Author(s) | Beisbart, Claus;Sauer, Tilman;W??thrich, Christian |
| Publication | Cham, 1. Imprint: Birkh??user
2. Springer International Publishing, 2020. |
| Description | XVIII, 267 p. 8 illus., 3 illus. in color : online resource |
| Abstract Note | This volume offers an integrated understanding of how the theory of general relativity gained momentum after Einstein had formulated it in 1915. Chapters focus on the early reception of the theory in physics and philosophy and on the systematic questions that emerged shortly after Einstein's momentous discovery. They are written by physicists, historians of science, and philosophers, and were originally presented at the conference titled Thinking About Space and Time: 100 Years of Applying and Interpreting General Relativity, held at the University of Bern from September 12-14, 2017. By establishing the historical context first, and then moving into more philosophical chapters, this volume will provide readers with a more complete understanding of early applications of general relativity (e.g., to cosmology) and of related philosophical issues. Because the chapters are often cross-disciplinary, they cover a wide variety of topics related to the general theory of relativity. These include: Heuristics used in the discovery of general relativity Mach's Principle The structure of Einstein's theory Cosmology and the Einstein world Stability of cosmological models The metaphysical nature of spacetime The relationship between spacetime and dynamics The Geodesic Principle Symmetries Thinking About Space and Time will be a valuable resource for historians of science and philosophers who seek a deeper knowledge of the (early and later) uses of general relativity, as well as for physicists and mathematicians interested in exploring the wider historical and philosophical context of Einstein's theory |
| ISBN,Price | 9783030477820 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. EBOOK
3. EBOOK - SPRINGER
4. GRAVITATION
5. HISTORY
6. History of Mathematical Sciences
7. Mathematical Applications in the Physical Sciences
8. MATHEMATICAL PHYSICS
9. MATHEMATICS
10. Philosophy and science
11. PHILOSOPHY OF SCIENCE
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09723 |
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On Shelf |
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34.
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| Title | Special Relativity : An Introduction with 200 Problems and Solutions |
| Author(s) | Tsamparlis, Michael |
| Publication | Cham, Springer International Publishing, 2019. |
| Description | XXV, 815 p. 116 illus., 4 illus. in color : online resource |
| Abstract Note | This textbook develops Special Relativity in a systematic way and offers the unique feature of having more than 200 problems with detailed solutions to empower students to gain a real understanding of this core subject in physics. This new edition has been thoroughly updated and has new sections on relativistic fluids, relativistic kinematics and on four-acceleration. The problems and solution section has been significantly expanded and short history sections have been included throughout the book. The approach is structural in the sense that it develops Special Relativity in Minkowski space following the parallel steps as the development of Newtonian Physics in Euclidian space. A second characteristic of the book is that it discusses the mathematics of the theory independently of the physical principles, so that the reader will appreciate their role in the development of the physical theory. The book is intended to be used both as a textbook for an advanced undergraduate teaching course in Special Relativity but also as a reference book for the future. In that respect it is linked to an online repository with more than 200 problems, carefully classified according to subject area and solved in detail, providing an independent problem book on Special Relativity. |
| ISBN,Price | 9783030273477 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. COSMOLOGY
3. EBOOK
4. EBOOK - SPRINGER
5. GRAVITATION
6. Mathematical Applications in the Physical Sciences
7. MATHEMATICAL PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09709 |
|
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On Shelf |
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35.
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| Title | Linear Algebra and Analytic Geometry for Physical Sciences |
| Author(s) | Landi, Giovanni;Zampini, Alessandro |
| Publication | Cham, Springer International Publishing, 2018. |
| Description | XII, 345 p : online resource |
| Abstract Note | A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises. Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac???s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number. The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification |
| ISBN,Price | 9783319783611 |
| Keyword(s) | 1. ALGEBRA
2. APPLIED MATHEMATICS
3. Computer science???Mathematics
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MATHEMATICS
7. GEOMETRY
8. Linear and Multilinear Algebras, Matrix Theory
9. Math Applications in Computer Science
10. Mathematical and Computational Engineering
11. Mathematical Applications in the Physical Sciences
12. Mathematical Methods in Physics
13. MATHEMATICAL PHYSICS
14. MATRIX THEORY
15. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09687 |
|
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On Shelf |
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36.
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| Title | Coherent Structures in Granular Crystals : From Experiment and Modelling to Computation and Mathematical Analysis |
| Author(s) | Chong, Christopher;Kevrekidis, Panayotis G |
| Publication | Cham, Springer International Publishing, 2018. |
| Description | XII, 94 p. 35 illus., 29 illus. in color : online resource |
| Abstract Note | This book summarizes a number of fundamental developments at the interface of granular crystals and the mathematical and computational analysis of some of their key localized nonlinear wave solutions. The subject presents a blend of the appeal of granular crystals as a prototypical engineering tested for a variety of diverse applications, the novelty in the nonlinear physics of its coherent structures, and the tractability of a series of mathematical and computational techniques to analyse them. While the focus is on principal one-dimensional solutions such as shock waves, traveling waves, and discrete breathers, numerous extensions of the discussed patterns, e.g., in two dimensions, chains with defects, heterogeneous settings, and other recent developments are discussed. The book appeals to researchers in the field, as well as for graduate and advanced undergraduate students. It will be of interest to mathematicians, physicists and engineers alike |
| ISBN,Price | 9783319778846 |
| Keyword(s) | 1. Amorphous substances
2. APPLIED MATHEMATICS
3. Complex fluids
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MATHEMATICS
7. Mathematical and Computational Engineering
8. Mathematical Applications in the Physical Sciences
9. Mathematical Methods in Physics
10. MATHEMATICAL PHYSICS
11. PHYSICS
12. Soft and Granular Matter, Complex Fluids and Microfluidics
13. Structural Materials
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09682 |
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On Shelf |
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37.
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| Title | Quantum Triangulations : Moduli Space, Quantum Computing, Non-Linear Sigma Models and Ricci Flow |
| Author(s) | Carfora, Mauro;Marzuoli, Annalisa |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | XX, 392 p. 113 illus., 92 illus. in color : online resource |
| Abstract Note | This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play non-trivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic non-linear sigma model and its subtle and many-faceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of non-linear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting non-linear sigma models??? effective action to Perelman???s energy-functional. No other published account of this matter is so detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its ??applications |
| ISBN,Price | 9783319679372 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. EBOOK
4. EBOOK - SPRINGER
5. GRAVITATION
6. Manifolds (Mathematics)
7. Manifolds and Cell Complexes (incl. Diff.Topology)
8. Mathematical Applications in the Physical Sciences
9. MATHEMATICAL PHYSICS
10. Numerical and Computational Physics, Simulation
11. PHYSICS
12. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09664 |
|
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On Shelf |
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38.
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| Title | Statistical Mechanics for Athermal Fluctuation : Non-Gaussian Noise in Physics |
| Author(s) | Kanazawa, Kiyoshi |
| Publication | Singapore, Springer Singapore, 2017. |
| Description | XVI, 222 p. 53 illus., 46 illus. in color : online resource |
| Abstract Note | The author investigates athermal fluctuation from the viewpoints of statistical mechanics in this thesis. Stochastic methods are theoretically very powerful in describing fluctuation of thermodynamic quantities in small systems on the level of a single trajectory and have been recently developed on the basis of stochastic thermodynamics. This thesis proposes, for the first time, a systematic framework to describe athermal fluctuation, developing stochastic thermodynamics for non-Gaussian processes, while thermal fluctuations are mainly addressed from the viewpoint of Gaussian stochastic processes in most of the conventional studies. First, the book provides an elementary introduction to the stochastic processes and stochastic thermodynamics. The author derives a Langevin-like equation with non-Gaussian noise as a minimal stochastic model for athermal systems, and its analytical solution by developing systematic expansions is shown as the main result. Furthermore, the au thor shows a thermodynamic framework for such non-Gaussian fluctuations, and studies some thermodynamics phenomena, i.e. heat conduction and energy pumping, which shows distinct characteristics from conventional thermodynamics. The theory introduced in the book would be a systematic foundation to describe dynamics of athermal fluctuation quantitatively and to analyze their thermodynamic properties on the basis of stochastic methods |
| ISBN,Price | 9789811063329 |
| Keyword(s) | 1. COMPLEX SYSTEMS
2. DYNAMICAL SYSTEMS
3. EBOOK
4. EBOOK - SPRINGER
5. Mathematical Applications in the Physical Sciences
6. MATHEMATICAL PHYSICS
7. STATISTICAL PHYSICS
8. Statistical Physics and Dynamical Systems
9. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
10. Statistics??
11. THERMODYNAMICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09662 |
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On Shelf |
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39.
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| Title | Differential and Difference Equations : A Comparison of Methods of Solution |
| Author(s) | Maximon, Leonard C |
| Publication | Cham, Springer International Publishing, 2016. |
| Description | XV, 162 p : online resource |
| Abstract Note | This book, intended for researchers and graduate students in physics, applied mathematics and engineering, presents a detailed comparison of the important methods of solution for linear differential and difference equations - variation of constants, reduction of order, Laplace transforms and generating functions - bringing out the similarities as well as the significant differences in the respective analyses. Equations of arbitrary order are studied, followed by a detailed analysis for equations of first and second order. Equations with polynomial coefficients are considered and explicit solutions for equations with linear coefficients are given, showing significant differences in the functional form of solutions of differential equations from those of difference equations. An alternative method of solution involving transformation of both the dependent and independent variables is given for both differential and difference equations. A comprehensive, detailed treatment of Green???s functions and the associated initial and boundary conditions is presented for differential and difference equations of both arbitrary and second order. A dictionary of difference equations with polynomial coefficients provides a unique compilation of second order difference equations obeyed by the special functions of mathematical physics. Appendices augmenting the text include, in particular, a proof of Cramer???s rule, a detailed consideration of the role of the superposition principal in the Green???s function, and a derivation of the inverse of Laplace transforms and generating functions of particular use in the solution of second order linear differential and difference equations with linear coefficients |
| ISBN,Price | 9783319297361 |
| Keyword(s) | 1. APPLIED MATHEMATICS
2. Difference and Functional Equations
3. DIFFERENCE EQUATIONS
4. DIFFERENTIAL EQUATIONS
5. EBOOK
6. EBOOK - SPRINGER
7. ENGINEERING MATHEMATICS
8. FUNCTIONAL EQUATIONS
9. Mathematical and Computational Engineering
10. Mathematical Applications in the Physical Sciences
11. Mathematical Methods in Physics
12. MATHEMATICAL PHYSICS
13. ORDINARY DIFFERENTIAL EQUATIONS
14. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09655 |
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On Shelf |
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40.
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| Title | Classical and Quantum Dynamics : From Classical Paths to Path Integrals |
| Author(s) | Dittrich, Walter;Reuter, Martin |
| Publication | Cham, Springer International Publishing, 2016. |
| Description | XIV, 461 p. 2 illus : online resource |
| Abstract Note | Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name a few. Well-chosen and detailed examples illustrate the perturbation theory, canonical transformations, the action principle and demonstrate the usage of path integrals. This new edition has been revised and enlarged with chapters on quantum electrodynamics, high energy physics, Green???s functions and strong interaction. "This book is a brilliant exposition of dynamical systems covering the essential aspects and written in an elegant manner. The book is written in modern language of mathematics and will ideally cater to the requirements of graduate and first year Ph.D. students...a wonderful introduction to any student who wants to do research in any branch of theoretical Physics." (Indian Journal of Physics) |
| ISBN,Price | 9783319216775 |
| Keyword(s) | 1. Classical and Continuum Physics
2. Continuum physics
3. EBOOK
4. EBOOK - SPRINGER
5. Mathematical Applications in the Physical Sciences
6. MATHEMATICAL PHYSICS
7. NUCLEAR PHYSICS
8. Particle and Nuclear Physics
9. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09645 |
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On Shelf |
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