Differential Topology (London Mathematical Society Student Texts) - Image 1

£99.99

Cambridge University Press Differential Topology (London Mathematical Society Student Texts)

Name: Differential Topology (London Mathematical Society Student Texts)
Brand: Cambridge University Press
Price: 99.99 GBP
Availability: InStock

Geometry & Topology

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Description

Differential topology uncovers the hidden structure of smooth spaces – the foundation of modern geometry and topology. This book offers a clear, rigorous introduction to the subject, blending theory with concrete examples and applications. Beginning with the basics of manifolds and smooth maps, it develops essential tools and concepts such as tangent spaces, transversality, cobordism, and tubular neighbourhoods, before progressing to powerful invariants like the Brouwer degree, intersection numbers, and the Hopf invariant. Along the way, readers encounter landmark results including Whitney's embedding theorem, Brouwer's fixed point theorem, the Pontryagin construction, Hopf's degree theorem, and the Poincaré– Hopf index theorem. Each chapter combines intuitive explanations with precise and detailed proofs, supported by exercises and detailed solutions that deepen understanding. Ideal for advanced undergraduates, graduate students, and researchers, this text provides a gateway to one of mathematics' most elegant and influential fields – where analysis, geometry, and topology meet.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1009733877
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 03 September 2026
Listed Since: 09 March 2026

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Cambridge University Press Differential Topology (London Mathematical Society Student Texts)

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