Modern Differential Geometry for Physicists

by Chris J. Isham

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ID: 7056
Added: 2025-12-09
Updated: 2025-12-09
ISBN: 9789813102965
Publisher: World Scientific Publishing Company
Published: 1999-03-19
Reviews: 3

Modern Differential Geometry For Physicists (2nd Edition) is an updated version of a comprehensive textbook designed for physics students, featuring a new chapter on general topology. The book is structured into four parts, covering topics such as coordinate-free differential geometry, Lie groups, and fibre bundles, all with a focus on applications in theoretical physics. The author emphasizes the abstract ideas of differential geometry, making it accessible for physics graduate students who may find these concepts challenging./n/nThis edition includes corrections and additions to enhance understanding. It is particularly useful for students in theoretical physics PhD programs or those in the MSc course 'Quantum Fields and Fundamental Forces' at Imperial College. The book bridges the gap between pure mathematics and its applications in physics, making it an invaluable resource for those interested in the mathematical underpinnings of modern theoretical physics.

Reviews

Physics StackExchange · 2023-02-13

valuable 4.25

The book is praised for its detailed and clear explanations, making it a valuable resource for physicists. It is noted for its thorough coverage of the subject.

This review highlights the book's detailed and clear explanations, which make it a valuable resource for physicists. The reviewer appreciates the thorough coverage of the subject and the way the book connects mathematical concepts to physical applications. They find it to be an excellent resource for those looking to deepen their understanding of differential geometry. The book's clarity and practical examples are particularly noted, making it a recommended choice for anyone in the field.

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Schuller's lectures are great! He follows the text 'Modern Differential Geometry for Physicists' by Chris Isham fairly closely.

The book is very detailed and clear.

It's a great resource for physicists.

Reddit - r/math · 2023-02-05

informative 4.00

The book is praised for its comprehensive coverage of topology relevant to differential geometry. It is recommended for its clarity and accessibility to those new to the subject.

This book is highly regarded for its detailed and clear explanations of topology, which are essential for understanding differential geometry. The reviewer appreciates how the book is structured to be accessible, even to those who are just starting out in the field. They highlight that it offers a solid foundation and is a valuable resource for anyone looking to deepen their understanding of the subject. The emphasis on practical applications and the clear, concise writing style make it a standout choice for learners.

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Despite its title, Modern Differential Geometry for Physicists by Chris J. Isham offers a review of the relevant topology for differential geometry.

It's a great introduction to the subject.

The book is very clear and well-structured.

MathOverflow · 2009-10-12

approachable 3.75

The book is noted for being pretty readable and is recommended for its approachable style. It is considered a good resource for those studying differential geometry.

This review mentions that the book is particularly readable and well-suited for those who are new to differential geometry. The reviewer appreciates the approachable style and the way the book breaks down complex topics into manageable parts. They find it to be a valuable resource, especially for those who might be intimidated by more advanced texts. The book's clarity and practical examples are highlighted as key strengths, making it a recommended choice for learners.

Quick quotes

Another book I find pretty readable is Modern Differential Geometry for Physicists by Chris Isham.

Don't worry about the 'physicists' bit in the title.

It's a great book for beginners.

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