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Author : Oscar Zariski
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (476 download)
Download or read book Commutative Algebra written by Oscar Zariski and published by . This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Kreuzer
Publisher : Springer Science & Business Media
ISBN 13 : 3540255273
Total Pages : 592 pages
Book Rating : 4.5/5 (42 download)
Download or read book Computational Commutative Algebra 2 written by Martin Kreuzer and published by Springer Science & Business Media. This book was released on 2005-07-06 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The second volume of the authors’ ‘Computational commutative algebra’...covers on its 586 pages a wealth of interesting material with several unexpected applications. ... an encyclopedia on computational commutative algebra, a source for lectures on the subject as well as an inspiration for seminars. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications." --ZENTRALBLATT MATH
Author : Michael F. Atiyah
Publisher : CRC Press
ISBN 13 : 0429973268
Total Pages : 140 pages
Book Rating : 4.4/5 (299 download)
Download or read book Introduction To Commutative Algebra written by Michael F. Atiyah and published by CRC Press. This book was released on 2018-03-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.
Author : Martin Kreuzer
Publisher : Springer Science & Business Media
ISBN 13 : 354067733X
Total Pages : 325 pages
Book Rating : 4.5/5 (46 download)
Download or read book Computational Commutative Algebra 1 written by Martin Kreuzer and published by Springer Science & Business Media. This book was released on 2008-07-15 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to polynomial rings, Gröbner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the theory can be used. The book also includes many exercises, both theoretical and practical.
Author : David Eisenbud
Publisher : Springer Science & Business Media
ISBN 13 : 1461253500
Total Pages : 784 pages
Book Rating : 4.4/5 (612 download)
Download or read book Commutative Algebra written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.
Author : Ernst Kunz
Publisher : Springer Science & Business Media
ISBN 13 : 1461459877
Total Pages : 253 pages
Book Rating : 4.4/5 (614 download)
Download or read book Introduction to Commutative Algebra and Algebraic Geometry written by Ernst Kunz and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience. Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces and—a closely related problem—with the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642616984
Total Pages : 457 pages
Book Rating : 4.6/5 (426 download)
Download or read book Algebra II written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a softcover reprint of chapters four through seven of the 1990 English translation of the revised and expanded version of Bourbaki’s Algebre. Much material was added or revised for this edition, which thoroughly establishes the theories of commutative fields and modules over a principal ideal domain.
Author : Alexey L. Gorodentsev
Publisher : Springer
ISBN 13 : 3319508539
Total Pages : 377 pages
Book Rating : 4.3/5 (195 download)
Download or read book Algebra II written by Alexey L. Gorodentsev and published by Springer. This book was released on 2017-02-12 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.
Author : Miles Reid
Publisher : Cambridge University Press
ISBN 13 : 9780521458894
Total Pages : 172 pages
Book Rating : 4.4/5 (588 download)
Download or read book Undergraduate Commutative Algebra written by Miles Reid and published by Cambridge University Press. This book was released on 1995-11-30 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position of abstract algebra in today's world.
Author : Balwant Singh
Publisher : World Scientific
ISBN 13 : 9814313629
Total Pages : 405 pages
Book Rating : 4.8/5 (143 download)
Download or read book Basic Commutative Algebra written by Balwant Singh and published by World Scientific. This book was released on 2011 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, set for a one or two semester course in commutative algebra, provides an introduction to commutative algebra at the postgraduate and research levels. The main prerequisites are familiarity with groups, rings and fields. Proofs are self-contained. The book will be useful to beginners and experienced researchers alike. The material is so arranged that the beginner can learn through self-study or by attending a course. For the experienced researcher, the book may serve to present new perspectives on some well-known results, or as a reference.
Author : Marco Fontana
Publisher : Springer Science & Business Media
ISBN 13 : 144196990X
Total Pages : 491 pages
Book Rating : 4.4/5 (419 download)
Download or read book Commutative Algebra written by Marco Fontana and published by Springer Science & Business Media. This book was released on 2010-09-29 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.
Author : O. Zariski
Publisher : Springer Science & Business Media
ISBN 13 : 038790171X
Total Pages : 433 pages
Book Rating : 4.3/5 (879 download)
Download or read book Commutative Algebra II written by O. Zariski and published by Springer Science & Business Media. This book was released on 1976-03-29 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: "topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra... the algebro-geometric connections and applications of the purely algebraic material are constantly stressed and abundantly scattered throughout the exposition. Thus, this volume can be used in part as an introduction to some basic concepts and the arithmetic foundations of algebraic geometry."
Author : Antoine Chambert-Loir
Publisher : Springer Nature
ISBN 13 : 3030615952
Total Pages : 466 pages
Book Rating : 4.0/5 (36 download)
Download or read book (Mostly) Commutative Algebra written by Antoine Chambert-Loir and published by Springer Nature. This book was released on 2021-04-08 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry. More than 300 exercises will allow the reader to deepen his understanding of the subject. The book also includes 11 historical vignettes about mathematicians who contributed to commutative algebra.
Author : Siegfried Bosch
Publisher : Springer Nature
ISBN 13 : 1447175239
Total Pages : 504 pages
Book Rating : 4.4/5 (471 download)
Download or read book Algebraic Geometry and Commutative Algebra written by Siegfried Bosch and published by Springer Nature. This book was released on 2022-04-22 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Geometry is a fascinating branch of Mathematics that combines methods from both Algebra and Geometry. It transcends the limited scope of pure Algebra by means of geometric construction principles. Putting forward this idea, Grothendieck revolutionized Algebraic Geometry in the late 1950s by inventing schemes. Schemes now also play an important role in Algebraic Number Theory, a field that used to be far away from Geometry. The new point of view paved the way for spectacular progress, such as the proof of Fermat's Last Theorem by Wiles and Taylor. This book explains the scheme-theoretic approach to Algebraic Geometry for non-experts, while more advanced readers can use it to broaden their view on the subject. A separate part presents the necessary prerequisites from Commutative Algebra, thereby providing an accessible and self-contained introduction to advanced Algebraic Geometry. Every chapter of the book is preceded by a motivating introduction with an informal discussion of its contents and background. Typical examples, and an abundance of exercises illustrate each section. Therefore the book is an excellent companion for self-studying or for complementing skills that have already been acquired. It can just as well serve as a convenient source for (reading) course material and, in any case, as supplementary literature. The present edition is a critical revision of the earlier text.
Author : Gregor Kemper
Publisher : Springer Science & Business Media
ISBN 13 : 3642035450
Total Pages : 248 pages
Book Rating : 4.6/5 (42 download)
Download or read book A Course in Commutative Algebra written by Gregor Kemper and published by Springer Science & Business Media. This book was released on 2010-12-02 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and results at the center of the field. The book maintains a constant view on the natural geometric context, enabling the reader to gain a deeper understanding of the material. Although it emphasizes theory, three chapters are devoted to computational aspects. Many illustrative examples and exercises enrich the text.
Author : Ezra Miller
Publisher : Springer Science & Business Media
ISBN 13 : 9780387237077
Total Pages : 442 pages
Book Rating : 4.2/5 (37 download)
Download or read book Combinatorial Commutative Algebra written by Ezra Miller and published by Springer Science & Business Media. This book was released on 2005-06-21 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs
Author : Steven Kleiman
Publisher :
ISBN 13 : 9780988557215
Total Pages : 208 pages
Book Rating : 4.5/5 (572 download)
Download or read book A Term of Commutative Algebra written by Steven Kleiman and published by . This book was released on 2013-01-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no shortage of books on Commutative Algebra, but the present book is different. Most books are monographs, with extensive coverage. There is one notable exception: Atiyah and Macdonald’s 1969 classic. It is a clear, concise, and efficient textbook, aimed at beginners, with a good selection of topics. So it has remained popular. However, its age and flaws do show. So there is need for an updated and improved version, which the present book aims to be.
