Differential Forms in Algebraic Topology

by Raoul Bott, Loring W. Tu
Differential Forms in Algebraic Topology cover
Good Books rating 4.43
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  • ID: 7385
  • Added: 2025-12-14
  • Updated: 2025-12-14
  • ISBN: 9781475739510
  • Publisher: Springer Science & Business Media
  • Published: 2013-04-17
  • Reviews: 3

Developed from a first-year graduate course, this book offers an informal yet comprehensive introduction to key ideas in homotopy and cohomology theory. It focuses on four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes, making these topics more approachable by using differential forms as a foundational example. /n/n The text is designed with a strong emphasis on concreteness, motivation, and readability, making it suitable for both self-study and classroom use. It serves as an excellent resource for anyone looking to understand the machineries of algebraic topology in a more intuitive and engaging manner.

Reviews
Goodreads · 2025-12-14
excellent 4.60

The book is praised for its clear and accessible introduction to algebraic topology using differential forms. It is noted for its practical approach and the depth of its explanations.

This book is highly regarded for its ability to make complex topics in algebraic topology more approachable through the use of differential forms. Reviewers appreciate the practical and hands-on approach, which makes it easier to grasp abstract concepts. The book is developed from a first-year graduate course, indicating its suitability for advanced students. The explanations are thorough and well-structured, making it a valuable resource for those studying algebraic topology.

Quick quotes

    Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the fundamental ideas in the field.

    The book is praised for its clear and accessible introduction to algebraic topology using differential forms.

    It is noted for its practical approach and the depth of its explanations.

Math3ma · 2016-08-22
good 4.20

The book is recommended as a resource for introductory graduate courses in algebraic topology. It is noted for its comprehensive coverage and practical approach.

This review recommends the book as a valuable resource for introductory graduate courses in algebraic topology. The book's comprehensive coverage and practical approach are highlighted as key strengths. It is seen as an essential text for students and educators alike, providing a solid foundation in the subject. The use of differential forms as an aid in exploring algebraic topology is particularly noted for its effectiveness.

Quick quotes

    Differential Forms in Algebraic Topology by Raoul Bott and Loring W. Tu is a recommended resource for introductory graduate courses.

    The book is noted for its comprehensive coverage and practical approach.

    It is seen as an essential text for students and educators alike.

Barnes & Noble · 2013-04-17
great 4.50

The book is described as an excellent presentation of algebraic topology via differential forms. It is particularly praised for its first chapter on de Rham theory.

This review highlights the book's excellence in presenting algebraic topology through differential forms. The first chapter, which focuses on de Rham theory, is especially commended for its clarity and depth. The book is seen as a valuable resource for those looking to understand the intricate aspects of algebraic topology. The practical approach and the use of differential forms as an aid make it a standout text in the field.

Quick quotes

    This book is an excellent presentation of algebraic topology via differential forms.

    The first chapter contains the de Rham theory, with stress on the interplay between local and global mathematics.

    The book is praised for its clear and accessible introduction to algebraic topology using differential forms.

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