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Differential Geometry for Physicists(v6)

by Hou Bo Yu

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From local analysis to geometric applications

$134.24 USD
$149.16 USD $134.24 USD
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Hardcover New English

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AlbakiReads Editorial

From local analysis to geometric applications

Organized across fourteen chapters and supported by eighteen appendices introducing prerequisite topology and algebra, Hou Bo Yu’s text moves from foundational local analysis to topics at the research frontier. The opening seven chapters are presented as a basis for graduate study in theoretical physics; chapters 8–10 turn to geometry on fibre bundles. The final section takes up the Atiyah–Singer index theorem and its generalizations and applications, alongside quantum anomaly, cohomology field theory, and noncommutative geometry. This progression makes the book’s scope clear: it connects mathematical groundwork with geometric tools and advanced questions in theoretical physics.

Good fit for readers who enjoy

  • Graduate students in theoretical physics seeking a text on differential geometry and its mathematical prerequisites.
  • Researchers looking for material on fibre bundles and related applications in theoretical physics.
  • Readers interested in the Atiyah–Singer index theorem, quantum anomaly, cohomology field theory, or noncommutative geometry.

Themes

Differential geometry and local analysisTopology and algebraic prerequisitesFibre bundlesIndex theory and applications in theoretical physicsQuantum anomaly and noncommutative geometry

Based on publisher information and book metadata.

Book overview

This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. The first seven chapters focus on local analysis. This part can be used as a fundamental textbook for graduate students of theoretical physics. Chapters 8-10 discuss geometry on fibre bundles, which facilitates further reference for researchers. The last four chapters deal with the Atiyah-Singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry, giving the reader a glimpse of the frontier of current research in theoretical physics.

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