Foundations of Differential Geometry, 2 Volume Set
Title | Foundations of Differential Geometry, 2 Volume Set PDF eBook |
Author | Shoshichi Kobayashi |
Publisher | Wiley |
Pages | 832 |
Release | 2009-05-26 |
Genre | Mathematics |
ISBN | 9780470555583 |
This set features: Foundations of Differential Geometry, Volume 1 (978-0-471-15733-5) and Foundations of Differential Geometry, Volume 2 (978-0-471-15732-8), both by Shoshichi Kobayashi and Katsumi Nomizu 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. Volume 2 continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques.
Foundations of Differential Geometry, Volume 2
Title | Foundations of Differential Geometry, Volume 2 PDF eBook |
Author | Shoshichi Kobayashi |
Publisher | University of Texas Press |
Pages | 492 |
Release | 1996-02-22 |
Genre | Mathematics |
ISBN | 9780471157328 |
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.
Differential Geometry of Complex Vector Bundles
Title | Differential Geometry of Complex Vector Bundles PDF eBook |
Author | Shoshichi Kobayashi |
Publisher | Princeton University Press |
Pages | 317 |
Release | 2014-07-14 |
Genre | Mathematics |
ISBN | 1400858682 |
Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Fundamentals of Differential Geometry
Title | Fundamentals of Differential Geometry PDF eBook |
Author | Serge Lang |
Publisher | Springer Science & Business Media |
Pages | 553 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461205417 |
This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER
Foundations of Differential Geometry, Volume 2
Title | Foundations of Differential Geometry, Volume 2 PDF eBook |
Author | Shoshichi Kobayashi |
Publisher | |
Pages | 496 |
Release | 1963 |
Genre | Mathematics |
ISBN |
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.
Foundations of Arithmetic Differential Geometry
Title | Foundations of Arithmetic Differential Geometry PDF eBook |
Author | Alexandru Buium |
Publisher | American Mathematical Soc. |
Pages | 357 |
Release | 2017-06-09 |
Genre | Mathematics |
ISBN | 147043623X |
The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays the role of a ring of functions on an infinite dimensional manifold. The role of coordinate functions on this manifold is played by the prime numbers. The role of partial derivatives of functions with respect to the coordinates is played by the Fermat quotients of integers with respect to the primes. The role of metrics is played by symmetric matrices with integer coefficients. The role of connections (respectively curvature) attached to metrics is played by certain adelic (respectively global) objects attached to the corresponding matrices. One of the main conclusions of the theory is that the spectrum of the integers is “intrinsically curved”; the study of this curvature is then the main task of the theory. The book follows, and builds upon, a series of recent research papers. A significant part of the material has never been published before.
The Foundations of Geometry
Title | The Foundations of Geometry PDF eBook |
Author | David Hilbert |
Publisher | |
Pages | 158 |
Release | 1902 |
Genre | Geometry |
ISBN |