Selected Papers on Number Theory, Algebraic Geometry, and Differential Geometry PDF Download
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Author: Katsumi Nomizu
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 0
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Book Description
Author: Katsumi Nomizu
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Katsumi Nomizu
Publisher: American Mathematical Soc.
ISBN: 9780821875117
Category : Geometry, Algebraic
Languages : en
Pages : 170
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Book Description
This book presents papers that originally appeared in the Japanese journal Sugaku. The papers explore the relationship between number theory, algebraic geometry, and differential geometry.
Author: Katsumi Nomizu
Publisher:
ISBN:
Category :
Languages : en
Pages : 154
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Book Description
Author: Katsumi Nomizu
Publisher: American Mathematical Soc.
ISBN: 9780821804452
Category : Geometry, Algebraic
Languages : en
Pages : 108
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Book Description
This book presents papers that originally appeared in the Japanese journal Sugaku from the Mathematical Society of Japan. The papers explore the relationship between number theory and algebraic geometry.
Author:
Publisher: American Mathematical Soc.
ISBN: 9780821804285
Category :
Languages : en
Pages :
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Book Description
Author: Loring W. Tu
Publisher: Springer
ISBN: 3319550845
Category : Mathematics
Languages : en
Pages : 358
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Book Description
This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss' Theorema Egregium and the Gauss–Bonnet theorem. Exercises throughout the book test the reader’s understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge of de Rham cohomology is required for the last third of the text. Prerequisite material is contained in author's text An Introduction to Manifolds, and can be learned in one semester. For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions such as the tensor product and the exterior power are included. Differential geometry, as its name implies, is the study of geometry using differential calculus. It dates back to Newton and Leibniz in the seventeenth century, but it was not until the nineteenth century, with the work of Gauss on surfaces and Riemann on the curvature tensor, that differential geometry flourished and its modern foundation was laid. Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein's general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory. Differential geometry is also useful in topology, several complex variables, algebraic geometry, complex manifolds, and dynamical systems, among other fields. The field has even found applications to group theory as in Gromov's work and to probability theory as in Diaconis's work. It is not too far-fetched to argue that differential geometry should be in every mathematician's arsenal.
Author: Phillip Griffiths
Publisher: American Mathematical Soc.
ISBN: 9780821820865
Category : Mathematics
Languages : en
Pages : 694
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Book Description
Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.
Author: Shiu-yuen Cheng
Publisher: World Scientific
ISBN: 9814499978
Category : Mathematics
Languages : en
Pages : 732
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Book Description
This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988.
Author: E. V. Shikin
Publisher: American Mathematical Soc.
ISBN: 9780821895979
Category :
Languages : en
Pages : 208
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Book Description
This collection contains articles that present recent results by geometers in Russia and the Ukraine. Papers in the collection deal with various questions related to the structure, symmetries, and embeddings of submanifolds in Euclidean and pseudo-Euclidian spaces. This collection offers a review of the challenges facing specialists in geometry in the large and features current research in the field.
Author: Yu I Manin
Publisher: World Scientific
ISBN: 9814499552
Category : Mathematics
Languages : en
Pages : 614
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Book Description
The book is a collection of research and review articles in several areas of modern mathematics and mathematical physics published in the span of three decades. The ICM Kyoto talk “Mathematics as Metaphor” summarises the author's view on mathematics as an outgrowth of natural language.
