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1
Manifolds and
Differential Geometry
Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry.
This classic work is now available in an unabridged paperback edition.
3
A Course in
Differential Geometry
The text contains many problems and solutions, permitting the reader to apply the theorems and to see concrete developments of the abstract theory.
4
Applied
Differential Geometry
This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry.
5
Elementary
Differential Geometry, Revised 2nd Edition
As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text. *Fortieth anniversary of publication!
Elementary account covers curvature and torsion, involutes and evolutes, curves on a surface, curvature of surfaces, and developable and ruled surfaces. Numerous problems include complete solutions. 1965 edition.
7
Differential Geometry: Curves - Surfaces - Manifolds
With just the basic tools from multivariable calculus, plus a little knowledge of linear algebra, it is possible to begin a much richer and rewarding study of differential geometry, which is what is presented in this book.
Text from preface: "This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space"
9
Fundamentals of
Differential Geometry
This is the new edition of Serge Lang's Differential and Riemannian Manifolds.
10
Applications of
Differential Geometry to Econometrics
Originally published in 2000, this volume was an early example of the application of these techniques to econometrics. An introductory chapter provides a brief tutorial for those unfamiliar with the tools of Differential Geometry.
Paul Marriott, Mark Salmon,
2000
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Self-delusion 'fuels maths success'
Frenchwoman Sophie Germain (1776-1831) worked extensively on number theory and differential geometry and helped to lay possible ... «BT.com, 六月 15»
A beautiful mind
John Nash made highly original contributions to game theory, partial differential equations and differential geometry. His work provided insights ... «BusinessDay, 六月 15»
From string theory to Mother Of All Theories
... theory of relativity to include Newton's theory of gravitation, and general theory of relativity brought mathematics called differential geometry. «Bangalore Mirror, 六月 15»
Special Relativity and the Road Not Taken
I have a profound respect for all the work done with differential geometry which is utterly enormous. This Spring, I reconsidered Einstein's plight ... «Science 2.0, 六月 15»
John and Alicia In Thick and in Thin
... his equilibrium for Game Theory and also solved Reimann's problem in differential geometry now known as the Nash Embedded Theorem. «The Daily Star, 六月 15»
John Nash: The Shakespeare of economics
In addition, he made contributions to various branches of pure mathematics, including differential geometry and isometric embeddability of ... «The Indian Express, 六月 15»
Nobel Laureate and Math Genius John F. Nash Jr. Dies in a Car …
His work on differential geometry and other mathematical research were significant in economic, artificial intelligence, and computer technology ... «Venture Capital Post, 五月 15»
Every world in a grain of sand: John Nash's astonishing geometry
In an undergraduate course on differential geometry (such as the one I teach at Monash), one studies this intrinsic curvature, and it turns out ... «The Conversation AU, 五月 15»
Simons Foundation Funds Physics, Mathematics Researchers
A specialist in differential geometry, Wylie uses calculus and geometry to better understand the concept of curvature—the degree to which a ... «Syracuse University News, 五月 15»
Subject of Oscar-Winning Movie Dies in Car Crash
He worked in game theory and differential geometry, among other disciplines, and his theories are used in fields including economics, ... «Television Week, 五月 15»