TwentyTwo Papers on Algebra, Number Theory and Differential Geometry PDF Download

Author: M. S. Calenko
Publisher: American Mathematical Soc.
ISBN: 9780821896174
Category : Mathematics
Languages : en
Pages : 444

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Author: M. S. Calenko
Publisher: American Mathematical Soc.
ISBN:
Category : Mathematics
Languages : en
Pages : 446

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Author: M. Sh T︠S︡alenko
Publisher:
ISBN: 9781470432485
Category : Algebra
Languages : en
Pages : 429

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Author: Katsumi Nomizu
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 0

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Author: V. P. Kompaniec
Publisher: American Mathematical Soc.
ISBN: 9780821817735
Category : Algebra
Languages : en
Pages : 268

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Author: Garret Sobczyk
Publisher: Springer Science & Business Media
ISBN: 0817683844
Category : Mathematics
Languages : en
Pages : 373

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Book Description
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.

Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 1592

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Author:
Publisher:
ISBN: 9781470433833
Category :
Languages : en
Pages : 91

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Author: Caterina Consani
Publisher: Vieweg+Teubner Verlag
ISBN: 9783834826732
Category : Mathematics
Languages : en
Pages : 0

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Book Description
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.

Author: S. V. Vostokov
Publisher: American Mathematical Soc.
ISBN: 0821832670
Category : Mathematics
Languages : en
Pages : 232

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Book Description
A. N. Parshin is a world-renowned mathematician who has made significant contributions to number theory through the use of algebraic geometry. Articles in this volume present new research and the latest developments in algebraic number theory and algebraic geometry and are dedicated to Parshin's sixtieth birthday. Well-known mathematicians contributed to this volume, including, among others, F. Bogomolov, C. Deninger, and G. Faltings. The book is intended for graduate students andresearch mathematicians interested in number theory, algebra, and algebraic geometry.