Foundations Of Differential Geometry Volume 2

Author : Shoshichi Kobayashi,Katsumi Nomizu
Publisher : Unknown
Page : 496 pages
File Size : 49,6 Mb
Release : 1963
Category : Mathematics
ISBN : UOM:39015058210751

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Foundations of Differential Geometry, Volume 2 by Shoshichi Kobayashi,Katsumi Nomizu Pdf

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.

Author : Shoshichi Kobayashi,Katsumi Nomizu
Publisher : John Wiley & Sons
Page : 500 pages
File Size : 50,9 Mb
Release : 1996-02-22
Category : Mathematics
ISBN : 9780471157328

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Foundations of Differential Geometry, Volume 2 by Shoshichi Kobayashi,Katsumi Nomizu Pdf

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.

Author : Shoshichi Kobayashi,Katsumi Nomizu
Publisher : Wiley
Page : 832 pages
File Size : 50,6 Mb
Release : 2009-05-26
Category : Mathematics
ISBN : 0470555580

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Foundations of Differential Geometry, 2 Volume Set by Shoshichi Kobayashi,Katsumi Nomizu Pdf

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.

Author : Shoshichi Kobayashi
Publisher : Unknown
Page : 329 pages
File Size : 41,8 Mb
Release : 1964
Category : Electronic
ISBN : OCLC:313382531

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Foundations of Differential Geometry by Shoshichi Kobayashi Pdf

Author : Shoshichi Kobayashi,Katsumi Nomizu
Publisher : Unknown
Page : 470 pages
File Size : 44,5 Mb
Release : 1969
Category : Electronic
ISBN : OCLC:472142042

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Foundations of Differential Geometry by Shoshichi Kobayashi,Katsumi Nomizu Pdf

Author : Michael Spivak
Publisher : Unknown
Page : 702 pages
File Size : 47,9 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015062882942

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A Comprehensive Introduction to Differential Geometry by Michael Spivak Pdf

Author : F.J.E. Dillen,L.C.A. Verstraelen
Publisher : Elsevier
Page : 1067 pages
File Size : 42,5 Mb
Release : 1999-12-16
Category : Mathematics
ISBN : 9780080532837

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Handbook of Differential Geometry, Volume 1 by F.J.E. Dillen,L.C.A. Verstraelen Pdf

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.

Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 553 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461205418

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Fundamentals of Differential Geometry by Serge Lang Pdf

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

Author : Thomas Koshy
Publisher : John Wiley & Sons
Page : 752 pages
File Size : 51,6 Mb
Release : 2019-01-07
Category : Mathematics
ISBN : 9781118742082

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Fibonacci and Lucas Numbers with Applications, Volume 2 by Thomas Koshy Pdf

Volume II provides an advanced approach to the extended gibonacci family, which includes Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas, Vieta, Vieta-Lucas, and Chebyshev polynomials of both kinds. This volume offers a uniquely unified, extensive, and historical approach that will appeal to both students and professional mathematicians. As in Volume I, Volume II focuses on problem-solving techniques such as pattern recognition; conjecturing; proof-techniques, and applications. It offers a wealth of delightful opportunities to explore and experiment, as well as plentiful material for group discussions, seminars, presentations, and collaboration. In addition, the material covered in this book promotes intellectual curiosity, creativity, and ingenuity. Volume II features: A wealth of examples, applications, and exercises of varying degrees of difficulty and sophistication. Numerous combinatorial and graph-theoretic proofs and techniques. A uniquely thorough discussion of gibonacci subfamilies, and the fascinating relationships that link them. Examples of the beauty, power, and ubiquity of the extended gibonacci family. An introduction to tribonacci polynomials and numbers, and their combinatorial and graph-theoretic models. Abbreviated solutions provided for all odd-numbered exercises. Extensive references for further study. This volume will be a valuable resource for upper-level undergraduates and graduate students, as well as for independent study projects, undergraduate and graduate theses. It is the most comprehensive work available, a welcome addition for gibonacci enthusiasts in computer science, electrical engineering, and physics, as well as for creative and curious amateurs.

Author : Shoshichi Kobayashi
Publisher : Princeton University Press
Page : 317 pages
File Size : 48,9 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781400858682

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Differential Geometry of Complex Vector Bundles by Shoshichi Kobayashi Pdf

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.

Author : Roger Penrose,Wolfgang Rindler
Publisher : Cambridge University Press
Page : 516 pages
File Size : 53,7 Mb
Release : 1984
Category : Mathematics
ISBN : 0521347866

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Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry by Roger Penrose,Wolfgang Rindler Pdf

In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.

Author : C. E. Weatherburn
Publisher : Cambridge University Press
Page : 253 pages
File Size : 48,6 Mb
Release : 1927
Category : Mathematics
ISBN : 9781316606957

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Differential Geometry of Three Dimensions by C. E. Weatherburn Pdf

Originally published in 1930, as the second of a two-part set, this textbook contains a vectorial treatment of geometry.

Author : E.B. Vinberg
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 51,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662029015

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Geometry II by E.B. Vinberg Pdf

A very clear account of the subject from the viewpoints of elementary geometry, Riemannian geometry and group theory – a book with no rival in the literature. Mostly accessible to first-year students in mathematics, the book also includes very recent results which will be of interest to researchers in this field.

Author : Ralf Fröberg
Publisher : John Wiley & Sons
Page : 198 pages
File Size : 47,8 Mb
Release : 1997-10-07
Category : Mathematics
ISBN : 0471974420

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An Introduction to Gröbner Bases by Ralf Fröberg Pdf

Grobner-Basen werden von Mathematikern und Informatikern zunehmend fur eine breite Palette von Anwendungen genutzt, in denen die algorithmische algebraische Geometrie eine Rolle spielt. Hier werden Grobner-Basen von einem konstruktiven, wenig abstrakten Standpunkt aus behandelt, wobei nur geringe Vorkenntnisse in linearer Algebra und komplexen Zahlen vorausgesetzt werden; zahlreiche Beispiele helfen bei der Durchdringung des Stoffes. Mit einer Ubersicht uber aktuell erhaltliche relevante Softwarepakete.

Author : Alexandru Buium
Publisher : American Mathematical Society
Page : 357 pages
File Size : 50,7 Mb
Release : 2023-11-20
Category : Mathematics
ISBN : 9781470475772

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Foundations of Arithmetic Differential Geometry by Alexandru Buium Pdf

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.