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Mathematical Perspectives on Theoretical Physics

Mathematical Perspectives on Theoretical Physics
Author: Nirmala Prakash
Publisher: World Scientific Publishing Company
Total Pages: 864
Release: 2003-09-02
Genre: Science
ISBN: 1911298240

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This book presents the basics of mathematics that are needed for learning the physics of today. It describes briefly the theories of groups and operators, finite- and infinite-dimensional algebras, concepts of symmetry and supersymmetry, and then delineates their relations to theories of relativity and black holes, classical and quantum physics, electroweak fields and Yang-Mills. It concludes with a chapter on (the complex theory of) strings and superstrings and their link to black holes — an idea that fascinates both the physicist and the mathematician. Contents:Complex Functions, Riemann Surfaces and Two-Dimensional Conformal Field Theory (an Introduction)Elements of Group Theory and Group RepresentationsA Primer on OperatorsBasics of Algebras and Related ConceptsInfinite-Dimensional AlgebrasThe Role of Symmetry in Physics and MathematicsAll That's Super — An IntroductionGravitation, Relativity and Black HolesBasics of Quantum TheoryTheory of Yang–Mills and the Yang–Mills–Higgs MechanismStrings and Superstrings (Elementary Aspects) Readership: Upper level undergraduates, graduate students, lecturers and researchers in theoretical physics, mathematical physics, quantum physics and astrophysics as well as Yang-Mills and superstring theory.


Modern Perspectives in Theoretical Physics

Modern Perspectives in Theoretical Physics
Author: K. S. Sreelatha
Publisher: Springer Nature
Total Pages: 182
Release: 2021-04-12
Genre: Science
ISBN: 9811593132

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This book highlights the review of articles in theoretical physics by the students of Professor K. Babu Joseph, as a Festschrift for his 80th Birthday. This book is divided into four sections based on the contributions of Babu Joseph and his students. The four sections are Cosmology, High Energy Physics, Mathematical Physics and Non-linear Dynamics and its applications.


Physics for Mathematicians

Physics for Mathematicians
Author: Michael Spivak
Publisher:
Total Pages: 733
Release: 2010
Genre: Mechanics
ISBN: 9780914098324

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Mathematical Perspectives on Theoretical Physics

Mathematical Perspectives on Theoretical Physics
Author: Nirmala Prakash
Publisher: Imperial College Press
Total Pages: 866
Release: 2003
Genre: Science
ISBN: 9781860943652

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Readership: Upper level undergraduates, graduate students, lecturers and researchers in theoretical, mathematical and quantum physics.


Foundations of Mathematics and Physics One Century After Hilbert

Foundations of Mathematics and Physics One Century After Hilbert
Author: Joseph Kouneiher
Publisher: Springer
Total Pages: 441
Release: 2018-05-26
Genre: Science
ISBN: 3319648136

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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.


Mathematical Physics

Mathematical Physics
Author: Donald H. Menzel
Publisher: Courier Corporation
Total Pages: 432
Release: 2012-05-23
Genre: Science
ISBN: 0486139107

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Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.


Mathematical Methods

Mathematical Methods
Author: Sadri Hassani
Publisher: Springer Science & Business Media
Total Pages: 673
Release: 2013-11-11
Genre: Mathematics
ISBN: 038721562X

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Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.


Representation Theory, Mathematical Physics, and Integrable Systems

Representation Theory, Mathematical Physics, and Integrable Systems
Author: Anton Alekseev
Publisher: Springer Nature
Total Pages: 652
Release: 2022-02-05
Genre: Mathematics
ISBN: 3030781488

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Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed. Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.


Mathematics in Physics Education

Mathematics in Physics Education
Author: Gesche Pospiech
Publisher: Springer
Total Pages: 385
Release: 2019-07-02
Genre: Science
ISBN: 3030046273

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This book is about mathematics in physics education, the difficulties students have in learning physics, and the way in which mathematization can help to improve physics teaching and learning. The book brings together different teaching and learning perspectives, and addresses both fundamental considerations and practical aspects. Divided into four parts, the book starts out with theoretical viewpoints that enlighten the interplay of physics and mathematics also including historical developments. The second part delves into the learners’ perspective. It addresses aspects of the learning by secondary school students as well as by students just entering university, or teacher students. Topics discussed range from problem solving over the role of graphs to integrated mathematics and physics learning. The third part includes a broad range of subjects from teachers’ views and knowledge, the analysis of classroom discourse and an evaluated teaching proposal. The last part describes approaches that take up mathematization in a broader interpretation, and includes the presentation of a model for physics teachers’ pedagogical content knowledge (PCK) specific to the role of mathematics in physics.


Diverse Topics in Theoretical and Mathematical Physics

Diverse Topics in Theoretical and Mathematical Physics
Author: Roman W. Jackiw
Publisher: World Scientific
Total Pages: 528
Release: 1995
Genre: Science
ISBN: 9789810216979

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In this volume, topics are drawn from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics, and concern a variety of interesting subjects. These include geometricalDtopological effects in quantum theory, fractional charge, time travel, relativistic quantized fields in and out of thermal equilibrium and quantum modifications of symmetry in physical systems.Many readers will find this a useful volume, especially theoretical physicists and mathematicians. The material will be of interest to both the expert who will find well-presented novel and stimulating viewpoints of various subjects and the novice who will find complete, detailed and precise descriptions of important topics of current interest, in theoretical and mathematical physics.