all ebooks in category: Topology (25)

Geometry, Topology and Physics

Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, …

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Differential Forms

"Guillemin and Haine’s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, …

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Higher Categories and Homotopical Algebra

This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at …

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Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions

This new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced …

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Introduction to Topology (3rd Edition)

Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of …

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Lectures on Topological Fluid Mechanics

This volume contains a wide-ranging collection of valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental …

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An Invitation to Morse Theory, Second Edition

This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided …

The Geometry of Celestial Mechanics (repost)

Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical …

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Geometry and Topology

Geometry is central to many branches of mathematics and physics, and offers a complete range of views on the universe. This introduction includes many simple …

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Moduli Spaces of Riemannian Metrics

This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special …

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