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History Algebraic Geometry

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Release : 1985-05-30
Genre : Mathematics
Kind : eBook
Book Rating : 718/5 ( reviews)

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Book Synopsis History Algebraic Geometry by : Jean Dieudonné

Download or read book History Algebraic Geometry written by Jean Dieudonné. This book was released on 1985-05-30. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.

A History of Algebraic and Differential Topology, 1900 - 1960

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Release : 2009-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 077/5 ( reviews)

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Book Synopsis A History of Algebraic and Differential Topology, 1900 - 1960 by : Jean Dieudonné

Download or read book A History of Algebraic and Differential Topology, 1900 - 1960 written by Jean Dieudonné. This book was released on 2009-09-01. Available in PDF, EPUB and Kindle. Book excerpt: This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet

History Algebraic Geometry

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Release : 2017-11-22
Genre : Mathematics
Kind : eBook
Book Rating : 543/5 ( reviews)

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Book Synopsis History Algebraic Geometry by : Suzanne C. Dieudonne

Download or read book History Algebraic Geometry written by Suzanne C. Dieudonne. This book was released on 2017-11-22. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.

An Undergraduate Primer in Algebraic Geometry

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Release : 2021-05-05
Genre : Mathematics
Kind : eBook
Book Rating : 211/5 ( reviews)

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Book Synopsis An Undergraduate Primer in Algebraic Geometry by : Ciro Ciliberto

Download or read book An Undergraduate Primer in Algebraic Geometry written by Ciro Ciliberto. This book was released on 2021-05-05. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann–Roch and Riemann–Hurwitz Theorems. The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point–set topology. This book can be used as a textbook for an undergraduate course in algebraic geometry. The users of the book are not necessarily intended to become algebraic geometers but may be interested students or researchers who want to have a first smattering in the topic. The book contains several exercises, in which there are more examples and parts of the theory that are not fully developed in the text. Of some exercises, there are solutions at the end of each chapter.

History of Analytic Geometry

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Release : 2012-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 513/5 ( reviews)

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Book Synopsis History of Analytic Geometry by : Carl B. Boyer

Download or read book History of Analytic Geometry written by Carl B. Boyer. This book was released on 2012-06-28. Available in PDF, EPUB and Kindle. Book excerpt: This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.

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