Geometry, Topology and Physics (Graduate Student Series in Physics)

by Mikio Nakahara (Author)

19 customer reviews

ISBN-13: 978-0852740958

ISBN-10: 0852740956

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This textbook provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of the physics needed to follow the arguments - including quantum field theory, gauge theory and general relativity - to make sure all readers set off from the same starting point. Basic theory of vector spaces and topology is also included to make the book self-contained. Working from the basics to the more elaborate concepts of topology and geometry, all is carefully explained and illustrated with applications. Explicit calculations and diagrams clarify the abstract ideas involved. Many illustrations, exercises and problems are included. This book will be invaluable to advanced undergraduates and researchers in many areas of physics.

Geometry, Topology and Physics (Graduate Student Series in Physics)

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Topology and Geometry for Physicists (Dover Books on Mathematics) by Charles Nash Paperback $16.93
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Editorial Reviews

Review

"The clarity of the presentation is enhanced by explicit calculations and diagrams; the proof of a theorem is given only when it is instructive and not very technical. There is also a large number of exercises and problems and, last but not least, an index...superb layout." -- Zentralblatt fur Mathematik und ihre Grenzgebiete

"a very impressive book" -- Australian and New Zealand Physicist

Series: Graduate Student Series in Physics
Paperback: 505 pages
Publisher: Adam Hilger (January 1, 1990)
Language: English
ISBN-10: 0852740956
ISBN-13: 978-0852740958
Product Dimensions: 9.2 x 6.1 x 1 inches
Shipping Weight: 2 pounds (View shipping rates and policies)
Average Customer Review: 19 customer reviews
Amazon Best Sellers Rank: #2,343,151 in Books (See Top 100 in Books)
- #328 in Books > Science & Math > Mathematics > Geometry & Topology > Differential Geometry
- #1091 in Books > Science & Math > Mathematics > Applied > Differential Equations
- #1257 in Books > Textbooks > Science & Mathematics > Mathematics > Geometry

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Customer reviews

3.7 out of 5 stars

5 star		47%
4 star		37%
3 star		0%
2 star		5%
1 star		11%

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Top customer reviews

many figures need a better caption-description.

ByJoson September 26, 2016

Format: PaperbackVerified Purchase

The book is well explained. Topics are introduced in a progressive way, allowing the reader to adjust to new concepts before applying them in more elaborate scenarios. The author often mention practical applications of mathematical concepts that otherwise look disconnected to physics or any other field. There are few typos and, from my point of view, many figures need a better caption-description.

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An excellent book

ByRicardo Avilaon September 18, 2006

Format: PaperbackVerified Purchase

This is the best book of its type, that is, a book that contains almost all if not all the advance mathematics a theoretical physicist should know. I have studied chapters 2-9 and it has the perfect balance between rigorous presentation of topics and practical uses with examples. The level is for advance graduate students. The range of topics covered is wide including Topology topics like Homotopy, Homology, Cohomology theory and others like Manifolds, Riemannian Geometry, Complex Manifolds, Fibre Bundles and Characteristics Classes. I believe this book gives you a solid base in the modern mathematics that are being used among the physicists and mathematicians that you certainly may need to know and from where you will be in a position to further extent (if you wish) into more technical advanced mathematical books on specific topics, also it is self contained but the only shortcoming is that it brings not many exercises but still my advice, get it is a superb book!

0Comment 7 people found this helpful. Was this review helpful to you?YesNo

Indispensable companion!

ByJustine Tarranton August 17, 2014

Format: PaperbackVerified Purchase

A most valuable resource for any theoretical physicist.

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The Language of The Cosmos

Bytachyonicbraneon February 29, 2012

Format: PaperbackVerified Purchase

Seriously, this book has every piece of mathematical knowledge i've ever needed to know to understand my graduate texts on Quantum Field Theory and String Theory. To top it all off the book has excellent examples and exercises and literally the best notation i've ever seen used to the topics. I think every theoretical physicist, graduate student, and mathematician interested in physics should probably have a copy. This book will probably never leave my office.

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Excellent review of math for (particle) physicists

ByRon Measleyon October 9, 2009

Format: PaperbackVerified Purchase

I bought this book to supplement my knowledge of mathematics which frequently is involved in understanding Particle physics concepts. The book is terse, but peppered with examples and insights about the definitions, and so far it is really fun to read. Seems like a good investment.

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Excelent book

ByWilliam de la Cruzon April 21, 2014

Format: PaperbackVerified Purchase

A mandatory book on physics that covers all elemental and advanced topics in geometry and topology. I recomend this volume for ungraduate and graduate students in physics and mathematics.

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Excellent Survey of Mathematical Tools

ByA customeron May 18, 2000

Format: Paperback

This text acts as a well-rounded introduction and overview of much of the mathematics underlying modern physics. While far from rigorous, the physics student will come away with a good understanding of how to use a wide variety of mathematical tools. This book is a necessity for every theoretical physicist. When used in a course (probably advanced undergrad or beginning grad), it should definitely be supplemented with more thorough texts, such as Geometry of Physics by Frankel. After such a course, one should be fully prepared for texts such as Spin Geometry by Michelson & Lawson, and String Theory by Polchinski. As for the mathematics presented in the book, go to one of the many excellent intro books to algebraic topology (Fulton, Munkres, Massey, Bott & Tu) and fibre bundles (Steenrod, Husemoller) for proper treatments of the subjects.

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Four Stars

Byedward q.on June 3, 2015

Format: PaperbackVerified Purchase

good

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Most recent customer reviews

Needs an online list of errata. Unacceptable.

I am surprised that amidst all the glowing reviews, there is only one reviewer who points out the unacceptable number of errata in this book.Read more

Published on December 4, 2012 by baejoseph

Too many errors to be useful for study

Reading all the glowing reviews of this book, I wonder whether the reviewers actually tried to use the book to understand the material, or just checked the table of contents.Read more

Published on July 24, 2008 by njdj

Geometry Topology and Physics: A condesed view

This book provide a complete and useful review of geometrical instuments of mathematical physics from the beginnig to the most advanced topics of interest.Read more

Published on May 13, 2007 by Vincenzo Parente

A great reference book.

No doubt, the interplay of topology and physics has stimulated phenomenal research and breakthroughs in mathematics and physics alike.Read more

Published on June 19, 2006 by Rehan Dost

Great book.

This is a very useful book for understanding modern physics. You absolutely need such a book to really understand general relativity, string theory etc.Read more

Published on March 25, 2005 by Gargantua

Flat spheres and more

Highly stimulating and extremely hard to read, written for mathematicians in physics. However, the chapter on Riemannian Geometry can be worked through, up to a point, without any...Read more

Published on January 21, 2004 by Professor Joseph L. McCauley

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