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Fundamentals of Differential Geometry
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Differential and Riemannian Manifolds
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This book covers basic concepts in differential topology, differential geometry and differential equations. The latest, expanded edition offers three new chapters on Riemannian and pseudo-Riemannian geometry, and revised sections on sprays and Stokes' theorem.
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Numbers
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Algebraic Graph Theory
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This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.
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Mathematical Methods of Classical Mechanics
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The Geometry of Schemes
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Fourier Analysis and Its Applications
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Introduction to Elliptic Curves and Modular Forms
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Geometric Analysis of the Bergman Kernel and Metric
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This text provides a systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. Each chapter includes illustrative examples and a collection of exercises.
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