Physical Mathematics

Author: Kevin Cahill

Publisher: Cambridge University Press

ISBN: 1107005213

Category: Mathematics

Page: 666

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Using examples from contemporary physics, this textbook clearly explains the mathematics students of physics need for their courses and research.
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Topics in Physical Mathematics

Author: Kishore Marathe

Publisher: Springer Science & Business Media

ISBN: 9781848829398

Category: Mathematics

Page: 442

View: 8892

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As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two subjects could be intertwined and effectively utilized. One sub-discipline that played a part in the union of the two subjects is Theoretical Physics. Breaking it down further came the fundamental theories, Relativity and Quantum theory, and later on Yang-Mills theory. Other areas to emerge in this area are those derived from the works of Donaldson, Chern-Simons, Floer-Fukaya, and Seiberg-Witten. Aimed at a wide audience, Physical Topics in Mathematics demonstrates how various physical theories have played a crucial role in the developments of Mathematics and in particular, Geometric Topology. Issues are studied in great detail, and the book steadfastly covers the background of both Mathematics and Theoretical Physics in an effort to bring the reader to a deeper understanding of their interaction. Whilst the world of Theoretical Physics and Mathematics is boundless; it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader through the world of Physical Mathematics; leaving them with a choice of which realm they wish to visit next.
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Introduction to Physical Mathematics

Author: P.G. Harper,D. L. Weaire

Publisher: CUP Archive

ISBN: 9780521269087

Category: Mathematics

Page: 260

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Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences. It contains all the usual topics covered in a first-year course such as vectors, matrices, differential equations, basic mathematical functions and their analysis, and power series. There is a strong emphasis on qualitative understanding (such as curve sketching) and practical methods of solution. The latter take due account of the impact of computers on the subject. The principles of mathematical expression are illustrated by copious examples taken from a wide range of topics in physics and chemistry. Each of the short chapters concludes with a summary and a large number of problems.
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Physical Mathematics and Nonlinear Partial Differential Equations

Author: Lightbourne

Publisher: CRC Press

ISBN: 9780824773434

Category: Science

Page: 280

View: 8952

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This volume consists of the proceedings of the conference on Physical Mathematics and Nonlinear Partial Differential Equations held at West Virginia University in Morgantown. It describes some work dealing with weak limits of solutions to nonlinear systems of partial differential equations.
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Physical Mathematics

Author: Lucy Flynn

Publisher: N.A

ISBN: 9781682855911

Category:

Page: 212

View: 3624

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Physical mathematics is a branch of theoretical mathematics that has been developed for finding solutions of complex physical problems of quantum gravity, string theory, super symmetry, etc. The subject builds on the advanced theoretical dimensions in physics and complex mathematical abstraction in algebra, group theory and topology. This book discusses the fundamentals as well as modern approaches of both physics and mathematics that are relevant to the growth of this discipline. It also unfolds the innovative dimensions of analysis in physical mathematics that are being explored. A number of latest researches have been included to keep the readers up-to-date with this emerging field of study.
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Mathematical Physics and Physical Mathematics

Author: Krzysztof Maurin,R. Raczka

Publisher: Springer

ISBN: 9027705372

Category: Science

Page: 504

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Proceedings of the International Symposium organized by the Mathematical Institute of the Polish Academy of Sciences, The Institute for Nuclear Research, Warsaw, 25-30 March 1974
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Analysis, Manifolds, and Physics

Author: Yvonne Choquet-Bruhat,Cécile DeWitt-Morette,Margaret Dillard Bleick

Publisher: Gulf Professional Publishing

ISBN: 9780444860170

Category: Mathematics

Page: 630

View: 2691

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This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.
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Mathematics for Physical Chemistry

Author: Robert G. Mortimer

Publisher: Elsevier

ISBN: 9780080492889

Category: Science

Page: 416

View: 4992

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Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data. Numerous examples and problems interspersed throughout the presentations Each extensive chapter contains a preview, objectives, and summary Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics
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