Differential and Riemannian geometry

Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra.

Differential geometry and topology have become essential tools for many theoretical physicists.

This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics in physics, with the concepts developed through numerous examples to help the reader become familiar with the techniques.

This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry.

This 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections.

This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity.

This unique book presents a particularly beautiful way of looking at special relativity.

Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

In these inspiring lectures David Bohm explores Albert Einstein's celebrated Theory of Relativity that transformed forever the way we think about time and space.

In these inspiring lectures David Bohm explores Albert Einstein's celebrated Theory of Relativity that transformed forever the way we think about time and space.

Dieses prägnante und praxisorientierte Lehrbuch präsentiert die Grundlagen der Mathematik auf glatten Mannigfaltigkeiten.

Within the last three decades, interest in the psychological experience of human faces has drawn together cognitive science researchers from diverse backgrounds.

Within the last three decades, interest in the psychological experience of human faces has drawn together cognitive science researchers from diverse backgrounds.

INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONS This is the only volume of its kind to explain, in precise and easy-to-understand language, the fundamentals of tensors and their applications in differential geometry and analytical mechanics with examples for practical applications and questions for use in a course setting.

INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONS This is the only volume of its kind to explain, in precise and easy-to-understand language, the fundamentals of tensors and their applications in differential geometry and analytical mechanics with examples for practical applications and questions for use in a course setting.

This book is a new edition of a title originally published in1992.

This book is a new edition of a title originally published in1992.

This classic work is now available in an unabridged paperback edition.

Comprehensive coverage of the foundations, applications, recent developments, and future of conformal differential geometry Conformal Differential Geometry and Its Generalizations is the first and only text that systematically presents the foundations and manifestations of conformal differential geometry.

From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvature surfaces.

An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

With detailed explanations and numerous examples, this textbook covers the differential geometry of surfaces in Euclidean space.

An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.

This book is an elementary introduction to the geometrical methods and notions used in special and general relativity.

This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis.

E=mc2 is known as the most famous but least understood equation in physics.

Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form.

Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form.

This book introduces multiplicative Frenet curves.

Through two previous editions, the third edition of this popular and intriguing text takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces.

Through two previous editions, the third edition of this popular and intriguing text takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces.

This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding of the fundamentals of differential geometry and symmetries in classical physics.

This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding of the fundamentals of differential geometry and symmetries in classical physics.

This book introduces plane curves on time scales.

This book introduces plane curves on time scales.

The first part of this book reviews some key topics on multi-variable advanced calculus.

Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity.

This book proposes a new approach which is designed to serve as an introductory course in differential geometry for advanced undergraduate students.

3D rotation analysis is widely encountered in everyday problems thanks to the development of computers.

3D rotation analysis is widely encountered in everyday problems thanks to the development of computers.

Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows associated with surfaces of curvature -1, namely the geodesic and horocycle flows.

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.

?

?

An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables.

Differential geometry is the study of the curvature and calculus of curves and surfaces.

Reprinted as it originally appeared in the 1990s, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics.

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields.