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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
An Introduction to Manifolds

An Introduction to Manifolds

Tu, Loring W.

Paperback

Series: Universitext

General MathematicsGeometry

PREORDER - Expected ship date November 7, 2026

ISBN10: 1071653369
ISBN13: 9781071653364
Publisher: Springer
Published: Nov 7 2026
Pages: 436
Language: English
Smooth manifolds--the higher-dimensional analogues of smooth curves and surfaces--are fundamental objects in modern mathematics. Drawing on algebra, topology, and analysis, they also play key roles in classical mechanics, general relativity, quantum field theory, and data analysis.

This streamlined introduction develops the theory of manifolds with the goal of helping readers achieve a rapid mastery of the essential topics. By the end of the book, readers will be able to compute, for simple spaces, one of the most basic topological invariants of a manifold: its de Rham cohomology. Along the way, they will gain the knowledge and skills needed for further study in geometry and topology. The third edition emphasizes clarity and simplification. While preserving the overall structure of the second edition, every section has been rewritten, with new or simplified proofs, clearer exposition, and additional exercises, hints, and solutions.

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