Lectures On Advanced Mathematical Methods For Physicists

Author : Sunil Mukhi,N. Mukunda
Publisher : World Scientific
Page : 289 pages
File Size : 44,8 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814299749

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Lectures on Advanced Mathematical Methods for Physicists by Sunil Mukhi,N. Mukunda Pdf

This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics, (including string theory) while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics. Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and De Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles. Part II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups. The style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists.

Author : Sunil Mukhi And N. Mukunda
Publisher : Unknown
Page : 278 pages
File Size : 55,6 Mb
Release : 2010
Category : Mathematical physics
ISBN : 9380250029

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Lectures On Advanced Mathematical Methods For Physicists : Texts And Readings In Physical Sciences - 9 by Sunil Mukhi And N. Mukunda Pdf

This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics, (including string theory) while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics. Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and De Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles. Part II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups. The style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists.

Author : Carl M. Bender,Steven A. Orszag
Publisher : Springer Science & Business Media
Page : 605 pages
File Size : 49,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475730692

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Advanced Mathematical Methods for Scientists and Engineers I by Carl M. Bender,Steven A. Orszag Pdf

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

Author : George B. Arfken,Hans J. Weber
Publisher : Academic Press
Page : 1048 pages
File Size : 53,6 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781483288062

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Mathematical Methods for Physicists by George B. Arfken,Hans J. Weber Pdf

This new and completely revised Fourth Edition provides thorough coverage of the important mathematics needed for upper-division and graduate study in physics and engineering. Following more than 28 years of successful class-testing, Mathematical Methods for Physicists is considered the standard text on the subject. A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use. This revised Fourth Edition includes: Modernized terminology Group theoretic methods brought together and expanded in a new chapter An entirely new chapter on nonlinear mathematical physics Significant revisions of the differential equations and complex variables chapters Many new or improved exercises Forty new or improved figures An update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica(r), among others

Author : Richard P. Feynman
Publisher : Addison-Wesley Longman
Page : 328 pages
File Size : 55,9 Mb
Release : 1996-09-08
Category : Computers
ISBN : UOM:39015038101401

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Lectures On Computation by Richard P. Feynman Pdf

Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b

Author : Royal Eugene Collins
Publisher : Courier Corporation
Page : 404 pages
File Size : 45,9 Mb
Release : 1968-01-01
Category : Science
ISBN : 0486402290

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Mathematical Methods for Physicists and Engineers by Royal Eugene Collins Pdf

Practical, readable text focuses on fundamental applied math needed by advanced undergraduates and beginning graduate students to deal with physics and engineering problems. Covers elementary vector calculus, special functions of mathematical physics, calculus of variations, and much more. Excellent self-contained study resource. 1968 edition.

Author : Mattias Blennow
Publisher : CRC Press
Page : 508 pages
File Size : 44,8 Mb
Release : 2018-01-03
Category : Science
ISBN : 9781351676076

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Mathematical Methods for Physics and Engineering by Mattias Blennow Pdf

Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. The entire book is unique in that it draws upon applications from physics, rather than mathematical examples, to ensure students are fully equipped with the tools they need. This approach prepares the reader for advanced topics, such as quantum mechanics and general relativity, while offering examples, problems, and insights into classical physics. The book is also distinctive in the coverage it devotes to modelling, and to oft-neglected topics such as Green's functions.

Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 673 pages
File Size : 51,8 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9780387215624

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Mathematical Methods by Sadri Hassani Pdf

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.

Author : Michael Stone,Paul Goldbart
Publisher : Cambridge University Press
Page : 821 pages
File Size : 52,5 Mb
Release : 2009-07-09
Category : Science
ISBN : 9781139480611

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Mathematics for Physics by Michael Stone,Paul Goldbart Pdf

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Author : Jerrold E. Marsden
Publisher : SIAM
Page : 102 pages
File Size : 49,5 Mb
Release : 1981-01-01
Category : Science
ISBN : 1611970326

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Lectures on Geometric Methods in Mathematical Physics by Jerrold E. Marsden Pdf

A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation and Hamiltonian systems in diverse applications are explored.

Author : R.D. Richtmyer
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642510762

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Principles of Advanced Mathematical Physics by R.D. Richtmyer Pdf

Author : R. Shankar
Publisher : Springer
Page : 371 pages
File Size : 45,5 Mb
Release : 2013-12-20
Category : Science
ISBN : 9781489967985

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Basic Training in Mathematics by R. Shankar Pdf

Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.

Author : Giampaolo Cicogna
Publisher : Springer Nature
Page : 227 pages
File Size : 42,6 Mb
Release : 2020-10-30
Category : Science
ISBN : 9783030594725

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Exercises and Problems in Mathematical Methods of Physics by Giampaolo Cicogna Pdf

This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.

Author : Felix Finster,Johannes Kleiner,Christian Röken,Jürgen Tolksdorf
Publisher : Birkhäuser
Page : 518 pages
File Size : 41,8 Mb
Release : 2016-02-24
Category : Science
ISBN : 9783319269023

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Quantum Mathematical Physics by Felix Finster,Johannes Kleiner,Christian Röken,Jürgen Tolksdorf Pdf

Quantum physics has been highly successful for more than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. Moreover, it is still unclear how to combine quantum physics and general relativity in a unified physical theory. Attacking these challenging problems of contemporary physics requires highly advanced mathematical methods as well as radically new physical concepts. This book presents different physical ideas and mathematical approaches in this direction. It contains a carefully selected cross-section of lectures which took place in autumn 2014 at the sixth conference ``Quantum Mathematical Physics - A Bridge between Mathematics and Physics'' in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Author : Robert Geroch
Publisher : University of Chicago Press
Page : 358 pages
File Size : 41,8 Mb
Release : 2015-08-01
Category : Science
ISBN : 9780226223063

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Mathematical Physics by Robert Geroch Pdf

Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the "whys" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics, and astrophysics.