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The Birth of String Theory
Explores the early stages of the development of string theory; essential reading for physicists, historians and philosophers of science.
Constraint Theory And Quantization Methods: From Relativistic Particles To Field Theory And General Relativity
This second workshop on constraint theory aims at reviewing the developments that have taken place in the theory of singular Lagrangians and Dirac-Bergmann Hamiltonian constraints as well as their quantization. Since this theory lies behind all special and general relativistic systems, the topics covered here naturally range from mathematical physics to relativistic system particles, strings and fields and further to general relativity. The variety of topics discussed makes this an important, interesting and informative book.
Path Integrals From Pev To Tev: 50 Years After Feynman's Paper - Proceedings Of The Sixth International Conference
This book contains the invited contributions to the 6th International Conference on Path Integrals from peV to TeV, held in Florence in 1998. The conference, devoted to functional integration, brought together many physicists with interests ranging from elementary particles to nuclear, solid state, liquid state, polymer and complex systems physics. The variety of topics is reflected in the book, which is a unique collection of papers on manifold applications of functional methods in several areas of physics.
Transcendence in Algebra, Combinatorics, Geometry and Number Theory
This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.
Analysis, Complex Geometry, and Mathematical Physics
This volume contains the proceedings of the Conference on Analysis, Complex Geometry and Mathematical Physics: In Honor of Duong H. Phong, which was held from May 7-11, 2013, at Columbia University, New York. The conference featured thirty speakers who spoke on a range of topics reflecting the breadth and depth of the research interests of Duong H. Phong on the occasion of his sixtieth birthday. A common thread, familiar from Phong's own work, was the focus on the interplay between the deep tools of analysis and the rich structures of geometry and physics. Papers included in this volume cover topics such as the complex Monge-Ampère equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.
Statistical Field Theory
Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory. This self-contained book provides a thorough introduction to the fascinating world of phase transitions and frontier topics of exactly solved models in statistical mechanics and quantum field theory, such as renormalization groups, conformal models, quantum integrable systems, duality, elastic S-matrices, thermodynamic Bethe ansatz...
Life in Groups
Life in Groups: How We Think, Feel, and Act Together develops and applies the author's perspective on topics to do with joint commitment. This kind of commitment unifies those who participate in it, guides their actions going forward, and determines their relations to one another in important ways. In particular, it grounds in each of the parties a set of rights and obligations of a particular kind. Thirteen essays are gathered in this volume, together with a substantial introduction, which serves both to explain joint commitment for those unfamiliar with it and to advance discussion in light of some questions it has prompted, and a reflective conclusion. The essays range over collective beliefs and intentions; rational choice and preference; group lies and corporate misbehavior; remorse and other emotions; rights, obligations, and freedom.
Music and the Making of Modern Science
A wide-ranging exploration of how music has influenced science through the ages, from fifteenth-century cosmology to twentieth-century string theory. In the natural science of ancient Greece, music formed the meeting place between numbers and perception; for the next two millennia, Pesic tells us in Music and the Making of Modern Science, “liberal education” connected music with arithmetic, geometry, and astronomy within a fourfold study, the quadrivium. Peter Pesic argues provocatively that music has had a formative effect on the development of modern science—that music has been not just a charming accompaniment to thought but a conceptual force in its own right. Pesic explores a seri...
Models of Quantum Matter
An important task of theoretical quantum physics is the building of idealized mathematical models to describe the properties of quantum matter. This text is an introduction to the Bethe ansatz method. It introduces the physical concepts (e.g. the Fermi and Luttinger liquid and quantum phase transitions) and mathematical tools (e.g. many-particle Hilbert spaces and second quantization) needed to construct realistic models from a variety of fields of physics,especially condensed matter physics and quantum optics. The various forms of the Bethe ansatz - algebraic, coordinate, multicomponent, and thermodynamic Bethe ansatz, and Bethe ansatz for finite systems -are then explained in depth and employed to find exact solutions for the physical properties of the integrable forms of these strongly interacting quantum models.
Table of Integrals, Series, and Products
The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of the work both for its comprehensive coverage of integrals and special functions, and also for its accuracy and valuable updates. Since the first edition, published in 1965, the mathematical content of this book has significantly increased due to the addition of new material, though the size of the book has remained almost unchanged. The new 8th edition contains entirely new results and amendments to the auxiliary conditions that accompany integrals and wherever possible most entries contain valuable references to their source. Over 10, 000 mathematical entries Most up to date listing of integrals, series and products (special functions) Provides accuracy and efficiency in industry work 25% of new material not including changes to the restrictions on results that revise the range of validity of results, which lend to approximately 35% of new updates
