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Handbook of Differential Geometry, Volume 1

1999-12-16 Mathematics
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Release : 1999-12-16
Genre : Mathematics
Kind : eBook
Book Rating : 837/5 ( reviews)

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Book Synopsis Handbook of Differential Geometry, Volume 1 by : F.J.E. Dillen

Download or read book Handbook of Differential Geometry, Volume 1 written by F.J.E. Dillen. This book was released on 1999-12-16. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

Handbook of Differential Geometry

2005-11-29 Mathematics
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Release : 2005-11-29
Genre : Mathematics
Kind : eBook
Book Rating : 204/5 ( reviews)

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Book Synopsis Handbook of Differential Geometry by : Franki J.E. Dillen

Download or read book Handbook of Differential Geometry written by Franki J.E. Dillen. This book was released on 2005-11-29. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent).All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research. Extensive bibliography. Dealing with a diverse range of areas. Starting from the basics

Real Analysis

2015-11-02 Mathematics
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Release : 2015-11-02
Genre : Mathematics
Kind : eBook
Book Rating : 990/5 ( reviews)

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Book Synopsis Real Analysis by : Barry Simon

Download or read book Real Analysis written by Barry Simon. This book was released on 2015-11-02. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.

Foundations of Differential Geometry, Volume 2

1996-02-22 Mathematics
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Release : 1996-02-22
Genre : Mathematics
Kind : eBook
Book Rating : 328/5 ( reviews)

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Book Synopsis Foundations of Differential Geometry, Volume 2 by : Shoshichi Kobayashi

Download or read book Foundations of Differential Geometry, Volume 2 written by Shoshichi Kobayashi. This book was released on 1996-02-22. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques.

First Steps in Differential Geometry

2013-07-09 Mathematics
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Release : 2013-07-09
Genre : Mathematics
Kind : eBook
Book Rating : 328/5 ( reviews)

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Book Synopsis First Steps in Differential Geometry by : Andrew McInerney

Download or read book First Steps in Differential Geometry written by Andrew McInerney. This book was released on 2013-07-09. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.

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