Contributions To Mathematical Physics
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Contributions In Mathematical Physics
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Author : S. Twareque Ali
language : en
Publisher: Springer
Release Date : 2007-08-15
Contributions In Mathematical Physics written by S. Twareque Ali and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-15 with Mathematics categories.
Professor Gerard G. Emch has been one of the pioneers of the C-algebraic approach to quantum and classical statistical mechanics. In a prolific scientific career, spanning nearly five decades, Professor Emch has been one of the creative influences in the general area of mathematical physics. The present volume is a collection of tributes, from former students, colleagues and friends of Professor Emch, on the occasion of his 70th birthday. The articles featured here are a small yet representative sample of the breadth and reach of some of the ideas from mathematical physics.It is also a testimony to the impact that Professor Emch's work has had on several generations of mathematical physicists as well as to the diversity of mathematical methods used to understand them.
Dialogues Between Physics And Mathematics
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Author : Mo-Lin Ge
language : en
Publisher: Springer Nature
Release Date : 2022-12-10
Dialogues Between Physics And Mathematics written by Mo-Lin Ge and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-10 with Science categories.
This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend. Starting with reminiscences of Yang's time at the research centre for theoretical physics at Stonybrook (now named C. N. Yang Institute) by his successor Peter van Nieuwenhuizen, the book is a collection of articles by world-renowned mathematicians and theoretical physicists. This emphasizes the Dialogue Between Physics and Mathematics that has been a central theme of Professor Yang’s contributions to contemporary science. Fittingly, the contributions to this volume range from experimental physics to pure mathematics, via mathematical physics. On the physics side, the contributions are from Sir Anthony Leggett (Nobel 2003), Jian-Wei Pan (Willis E. Lamb Award 2018), Alexander Polyakov (Breakthrough Prize 2013), Gerard 't Hooft (Nobel 1999), Frank Wilczek (Nobel 2004), Qikun Xue (Fritz London Prize 2020), and Zhongxian Zhao (Bernd T. Matthias Prize 2015), covering an array of topics from superconductivity to the foundations of quantum mechanics. In mathematical physics there are contributions by Sir Roger Penrose (Nobel 2022) and Edward Witten (Fields Medal 1990) on quantum twistors and quantum field theory, respectively. On the mathematics side, the contributions by Vladimir Drinfeld (Fields Medal 1990), Louis Kauffman (Wiener Gold Medal 2014), and Yuri Manin (Cantor Medal 2002) offer novel ideas from knot theory to arithmetic geometry. Inspired by the original ideas of C. N. Yang, this unique collection of papers b masters of physics and mathematics provides, at the highest level, contemporary research directions for graduate students and experts alike.
New Trends In Mathematical Physics
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Author : Vladas Sidoravicius
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-31
New Trends In Mathematical Physics written by Vladas Sidoravicius and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-31 with Science categories.
This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.
Methods Of Mathematical Physics
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Author : Richard Courant
language : en
Publisher: John Wiley & Sons
Release Date : 2008-09-26
Methods Of Mathematical Physics written by Richard Courant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-26 with Science categories.
Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953.
40 Years In Mathematical Physics
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Author : Ludvig Dmitrievich Faddeev
language : en
Publisher: World Scientific
Release Date : 1995-10-09
40 Years In Mathematical Physics written by Ludvig Dmitrievich Faddeev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-09 with Science categories.
This is a collection of Prof L D Faddeev's important lectures, papers and talks. Some of these have not been published before and some have, for the first time, been translated from Russian into English. The topics covered correspond to several distinctive and pioneering contributions of Prof Faddeev to modern mathematical physics: quantization of YangߝMills and Einstein gravitational fields, soliton theory, the many-dimensional inverse problem in potential scattering, the Hamiltonian approach to anomalies, and the theory of quantum integrable models. There are also two papers on more general aspects of the interrelations between physics and mathematics as well as an autobiographical essay.
Topology For Physicists
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Author : Albert S. Schwarz
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-07-16
Topology For Physicists written by Albert S. Schwarz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-16 with Mathematics categories.
In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. Topology has profound relevance to quantum field theory-for example, topological nontrivial solutions of the classical equa tions of motion (solitons and instantons) allow the physicist to leave the frame work of perturbation theory. The significance of topology has increased even further with the development of string theory, which uses very sharp topologi cal methods-both in the study of strings, and in the pursuit of the transition to four-dimensional field theories by means of spontaneous compactification. Im portant applications of topology also occur in other areas of physics: the study of defects in condensed media, of singularities in the excitation spectrum of crystals, of the quantum Hall effect, and so on. Nowadays, a working knowledge of the basic concepts of topology is essential to quantum field theorists; there is no doubt that tomorrow this will also be true for specialists in many other areas of theoretical physics. The amount of topological information used in the physics literature is very large. Most common is homotopy theory. But other subjects also play an important role: homology theory, fibration theory (and characteristic classes in particular), and also branches of mathematics that are not directly a part of topology, but which use topological methods in an essential way: for example, the theory of indices of elliptic operators and the theory of complex manifolds.
Memorial Volume For Ludwig Faddeev
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Author : Mo-Lin Ge
language : en
Publisher: World Scientific Publishing Company
Release Date : 2018-05-21
Memorial Volume For Ludwig Faddeev written by Mo-Lin Ge and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-21 with Science categories.
Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics. Ludwig Faddeev's major achievements include the solution of the three-body problem in quantum mechanics, the mathematical formulation of quantum gauge theories and corresponding Feynman rules, Hamiltonian and algebraic methods in mathematical physics, with applications to gauge theories with anomalies, quantum systems with constraints and solitons, the discovery of the algebraic structure of classical and quantum integrable systems and quantum groups, and solitons with the topology of knots. Faddeev's name is imprinted in many areas of mathematics and theoretical physics, including "Faddeev's equations" and "Faddeev's Green function" in scattering theory, "Faddeev-Popov ghosts" and "Faddeev-Popov determinant" in gauge theories, "Gardner-Faddeev-Zakharov bracket" for the KdV equation, "Faddeev-Zamolodchikov algebra" in quantum integrable systems, "Faddeev-Reshetikhin-Takhtajan construction" in the theory of quantum groups, knotted solitons in the "Skyrme-Faddeev model" and many others. Ludwig Faddeev founded the St. Petersburg school of modern mathematical physics and distinguished himself by serving the mathematics community for over three decades including his leadership of the International Mathematical Union in the period of 1986-1990. He was conferred numerous prizes and memberships of prestigious institutions in recognition of the importance of his work. These include the Dannie Heineman Prize for Mathematical Physics, the Dirac Medal, the Max Planck Medal, the Shaw Prize and the Lomonosov Gold Medal among others. A gathering of contributions from some of the biggest names in mathematics and physics, this volume serves as a tribute to this legendary figure. Volume contributors include: Fields medalist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang.
Contributions To Mathematical Physics
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Author : J. W. B. Hughes
language : en
Publisher:
Release Date : 1967
Contributions To Mathematical Physics written by J. W. B. Hughes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.
Foundations Of Mathematics And Physics One Century After Hilbert
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Author : Joseph Kouneiher
language : en
Publisher: Springer
Release Date : 2018-12-19
Foundations Of Mathematics And Physics One Century After Hilbert written by Joseph Kouneiher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-19 with Science categories.
This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.
The Principles Of Mathematical Physics
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Author : Henri Poincaré
language : en
Publisher: DigiCat
Release Date : 2022-07-21
The Principles Of Mathematical Physics written by Henri Poincaré and has been published by DigiCat this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-21 with Mathematics categories.
In "The Principles of Mathematical Physics," Henri Poincaré offers a seminal exploration of the interplay between mathematics and the physical sciences, articulating principles that would later underpin modern scientific thought. With a unique blend of rigorous mathematical formulation and philosophical inquiry, Poincaré addresses complex topics such as chaos theory, determinism, and the foundational aspects of mechanics. The literary style is both accessible and profound, reflecting the author's aim to bridge the gap between abstract mathematical concepts and their practical implications in the real world, placing the work in the context of early 20th-century scientific revolutions. Henri Poincaré (1854-1912) was a pioneering French mathematician, theoretical physicist, and philosopher, renowned for his contributions to topology and celestial mechanics. His deep engagement with the emerging fields of relativity and thermodynamics informed his perspective on the nature of physical laws and their mathematical descriptions. Poincaré's diverse academic interests and his ability to synthesize ideas across disciplines positioned him as a preeminent thinker during an era characterized by profound scientific transformation. This book is essential reading for anyone invested in the foundations of modern physics and mathematics. Poincaré's insights not only illuminate the intrinsic relationship between these fields but also provoke critical reflections on the nature of scientific inquiry itself. Readers will find that Poincaré's profound understanding enriches their appreciation for the elegance and complexity of the universe. In this enriched edition, we have carefully created added value for your reading experience: - A comprehensive Introduction outlines these selected works' unifying features, themes, or stylistic evolutions. - The Author Biography highlights personal milestones and literary influences that shape the entire body of writing. - A Historical Context section situates the works in their broader era—social currents, cultural trends, and key events that underpin their creation. - A concise Synopsis (Selection) offers an accessible overview of the included texts, helping readers navigate plotlines and main ideas without revealing critical twists. - A unified Analysis examines recurring motifs and stylistic hallmarks across the collection, tying the stories together while spotlighting the different work's strengths. - Reflection questions inspire deeper contemplation of the author's overarching message, inviting readers to draw connections among different texts and relate them to modern contexts. - Lastly, our hand‐picked Memorable Quotes distill pivotal lines and turning points, serving as touchstones for the collection's central themes.