Read and Download eBook Full
Author: Wolmer V. Vasconcelos
Publisher: Cambridge University Press
Published: 1994-02-25
Total Pages: 343
ISBN-13: 0521454840
DOWNLOAD EBOOKThis book discusses recent developments in an important area of computational commutative algebra.
Author: Miles Reid
Publisher: Cambridge University Press
Published: 2003
Total Pages: 312
ISBN-13: 9780521545181
DOWNLOAD EBOOKThis volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.
Author: Eric Temple Bell
Publisher:
Published: 1927
Total Pages: 194
ISBN-13:
DOWNLOAD EBOOKThe central topic of this book is the presentation of the author's principle of arithmetical paraphrases, which won him the Bôcher Prize in 1924. This general principle served to unify and extend many isolated results in the theory of numbers. The author successfully provides a systematic attempt to find a unified theory for each of various classes of related important problems in the theory of numbers, including its interrelations with algebra and analysis. This book will be of interest to advanced students in various branches of mathematics, including number theory, abstract algebra, elliptic and theta functions, Bernoulli numbers and functions, and the foundations of mathematics.
Author: Alberto Corso
Publisher: CRC Press
Published: 2005-08-15
Total Pages: 289
ISBN-13: 1420028324
DOWNLOAD EBOOKPacked with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book consists of articles pres
Author: Serguei A. Stepanov
Publisher: Springer Science & Business Media
Published: 1994-12-31
Total Pages: 444
ISBN-13: 9780306110368
DOWNLOAD EBOOKAuthor S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem. Designed for students as well as researchers, the book includes over 250 excercises accompanied by hints, instructions, and references. Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.
Author: Claudia Polini
Publisher: Springer Nature
Published: 2021-03-02
Total Pages: 127
ISBN-13: 3030650642
DOWNLOAD EBOOKThis book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations. Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation in the field. The material contained in this volume, based on lectures given at a workshop held in Levico Terme, Trento, in July 2019, highlights some of these developments. The text will be a valuable asset to graduate students and researchers in commutative algebra and related fields.
Author: Gert-Martin Greuel
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 601
ISBN-13: 3662049635
DOWNLOAD EBOOKThis 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.
Author: Eric Temple Bell
Publisher:
Published: 1967
Total Pages: 180
ISBN-13:
DOWNLOAD EBOOKAuthor: David Eisenbud
Publisher: Springer Science & Business Media
Published: 2013-12-01
Total Pages: 784
ISBN-13: 1461253500
DOWNLOAD EBOOKThis 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: Alberto Corso
Publisher: American Mathematical Soc.
Published: 2011-10-20
Total Pages: 233
ISBN-13: 082184959X
DOWNLOAD EBOOKThis volume contains papers based on presentations given at the Pan-American Advanced Studies Institute (PASI) on commutative algebra and its connections to geometry, which was held August 3-14, 2009, at the Universidade Federal de Pernambuco in Olinda, Brazil. The main goal of the program was to detail recent developments in commutative algebra and interactions with such areas as algebraic geometry, combinatorics and computer algebra. The articles in this volume concentrate on topics central to modern commutative algebra: the homological conjectures, problems in positive and mixed characteristic, tight closure and its interaction with birational geometry, integral dependence and blowup algebras, equisingularity theory, Hilbert functions and multiplicities, combinatorial commutative algebra, Grobner bases and computational algebra.
