Differential geometry of manifolds
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Differential Geometry of Manifolds
The author presents the extension of differential geometry from curves and surfaces to manifolds in general. It provides a broad introduction to the f
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Differential Geometry
An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces.The chapter on the d
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Geometry of Differential Forms
Presents a comprehensive introduction to differential forms. This work begins with a presentation of the notion of differentiable manifolds and then d
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Topics in Differential Geometry
Treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham coh
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Schaum's Outline of Differential Geometry
Schaum's Outlines present all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved
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First Course in Differential Geometry
This textbook covers the classical topics of differential geometry of surfaces as studied by Gauss: the definition and geometric meaning of Gaussian c
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Excursion Through Discrete Differential Geometry
Illustrates the principles of Discrete Differential Geometry via several recent topics: discrete nets, discrete differential operators, discrete mappi
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Differential Geometry and Global Analysis
Presents the proceedings of the AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930-2017), h
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Manifolds, Sheaves, and Cohomology
This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archim
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Differential Geometry Of Curves And Surfaces
This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential a
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Introduction to Infinite-Dimensional Differential Geometry
This text introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, exploring modern applications. Empha
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Geometry of Physics
Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector b
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New Approach to Differential Geometry using Clifford's Geometric Algebra
A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry b
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Geometry, Topology and Physics
Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory
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Cohomological Analysis of Partial Differential Equations and Secondary Calculus
Focuses on the fundamentals of a theory, which is an analog of affine algebraic geometry for partial differential equations. This work describes appli
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Geometrical Methods of Mathematical Physics
The methods of modern differential geometry have become important in theoretical physics and have applications in relativity, high-energy physics and
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Inspired By S S Chern: A Memorial Volume In Honor Of A Great Mathematician
Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the 20th century. Chern's works span various fields of geometry. Inspir
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Introduction to Nonlinear Analysis and Fixed Point Theory
This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential
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Student's Guide to General Relativity
This compact guide presents key features of general relativity to help students understand its core ideas and the basics of differential geometry. It
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Geometrical Approach to Physics
This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics in physics, with the concep
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Poisson Structures
Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstrac
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Modern Approaches to Discrete Curvature
This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry,
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