A Singular Introduction To Commutative Algebra

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A Singular Introduction To Commutative Algebra


A Singular Introduction To Commutative Algebra


File Size : 55,7 Mb
Total Download : 726

Author : Gert-Martin Greuel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06



Download A Singular Introduction To Commutative Algebra written by Gert-Martin Greuel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This book can be understood as a model for teaching commutative algebra, and takes into account modern developments such as algorithmic and computational aspects. As soon as a new concept is introduced, the authors show how the concept can be worked on using a computer. The computations are exemplified with the computer algebra system Singular, developed by the authors. Singular is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry. The book includes a CD containing Singular as well as the examples and procedures explained in the book.

Introduction To Commutative Algebra And Algebraic Geometry


Introduction To Commutative Algebra And Algebraic Geometry


File Size : 42,5 Mb
Total Download : 600

Author : Ernst Kunz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-06



Download Introduction To Commutative Algebra And Algebraic Geometry written by Ernst Kunz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-06 with Mathematics categories.


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.

Introduction To Commutative Algebra


Introduction To Commutative Algebra


File Size : 40,9 Mb
Total Download : 552

Author : Michael Atiyah
language : en
Publisher: CRC Press
Release Date : 2018-03-09



Download Introduction To Commutative Algebra written by Michael Atiyah and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-09 with Mathematics categories.


First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

A Course In Commutative Algebra


A Course In Commutative Algebra


File Size : 40,7 Mb
Total Download : 393

Author : Gregor Kemper
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-02



Download A Course In Commutative Algebra written by Gregor Kemper and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-02 with Mathematics categories.


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.

Commutative Algebra Ii


Commutative Algebra Ii


File Size : 49,9 Mb
Total Download : 646

Author : O. Zariski
language : en
Publisher: Springer Science & Business Media
Release Date : 1976-03-29



Download Commutative Algebra Ii written by O. Zariski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-03-29 with Mathematics categories.


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."

Commutative Algebra And Algebraic Geometry


Commutative Algebra And Algebraic Geometry


File Size : 41,9 Mb
Total Download : 373

Author : Freddy Van Oystaeyen
language : en
Publisher: CRC Press
Release Date : 1999-03-31



Download Commutative Algebra And Algebraic Geometry written by Freddy Van Oystaeyen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-31 with Mathematics categories.


Contains contributions by over 25 leading international mathematicians in the areas of commutative algebra and algebraic geometry. The text presents developments and results based on, and inspired by, the work of Mario Fiorentini. It covers topics ranging from almost numerical invariants of algebraic curves to deformation of projective schemes.

Algebraic Geometry And Arithmetic Curves


Algebraic Geometry And Arithmetic Curves


File Size : 51,7 Mb
Total Download : 682

Author : Qing Liu
language : en
Publisher: Oxford University Press on Demand
Release Date : 2002



Download Algebraic Geometry And Arithmetic Curves written by Qing Liu and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


'Will be useful to graduate students as an introduction to arithmetic algebraic geometry, and to more advanced readers and experts in the field.' -EMS'This book is unique in the current literature on algebraic and arithmetic geography, therefore a highly welcome addition to it, and particularly suitable for readers who want to approach more specialized works in this field with more ease. The exposition is exceptionally lucid, rigourous, coherent and comprehensive.' -Zentralblatt MATH'A thorough and far-reaching introduction to algebraic geometry in its scheme-theoretic setting... The rich bibliography with nearly 100 references enhances the value of this textbook as a great introduction and source for research.' -Zentralblatt MATHBased on the author's course for first-year graduate students this well-written text explains how the tools of algebraic geometry and of number theory can be applied to a study of curves. The book starts by introducing the essential background material and includes 600 exercises.