General

This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness...

This book is an introduction to residuated structures, viewed as a common thread binding together algebra and logic. The framework includes well-studied structures from classical abstract algebra such as lattice-ordered groups and ideals of rings, as...

This volume contains the proceedings of the virtual conference on Cyclic Cohomology at 40: Achievements and Future Prospects, held from September 27-October 1, 2021 and hosted by the Fields Institute for Research in Mathematical Sciences, Toronto, ON,...

This book is the third of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in the...

We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite situations which are in Ringel duality with each other; the underlying posets are either upper finite or lower finite. We also...

We extend the classical duality results of Poitou and Tate for finite discrete Galois modules over local and global fields (local duality, nine-term exact sequence, etc.) to all affine commutative group schemes of finite type, building on the recent work...

Apologies but we at Booksplease don't have a full description for this book.About the AuthorDavid A. CravenUniversity of Birmingham, United Kingdom.Book InformationISBN 9781470467029Author David A. CravenFormat PaperbackPage Count 213Imprint American...

Apologies but we at Booksplease don't have a full description for this book.About the AuthorS. Launois, University of Kent, Canterbury, United Kingdom.T. H. Lenagan, University of Edinburgh, United Kingdom.B. M. Nolan, Mitchelstown, Ireland.Book...

View the abstract.About the AuthorAnand P. Patel, Oklahoma State University, Stillwater, Oklahoma.Ashvin A. Swaminathan, Harvard University, Cambridge, Massachusetts.Book InformationISBN 9781470461577Author Anand P. PatelFormat PaperbackPage Count...

View the abstract.About the AuthorSebastian Casalaina-Martin, University of Colorado, Boulder, Colorado.Samuel Grushevsky, Stony Brook University, New York.Klaus Hulek, Leibniz Universitaet Hannover, Germany.Radu Laza, Stony Brook University, New York...

View the abstract.Book InformationISBN 9781470460198Author Tiago J. FonsecaFormat PaperbackPage Count 125Imprint American Mathematical SocietyPublisher American Mathematical SocietyWeight(grams) 272g

View the abstract.About the AuthorJang Soo Kim, Sungkyunkwan University, Suwon, South Korea.Kyu-Hwan Lee, University of Connecticut, Storrs, Connecticut.Se-jin Oh, Ewha Womans University, Seoul, South Korea.Book InformationISBN 9781470459949Author Jang...

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Applications of Algebra and Geometry to the Work of Teaching is based on a course offered in the Summer School Teacher Program at the Park City Mathematics...

There is a particular fascination when two apparently disjoint areas of mathematics turn out to have a meaningful connection to each other. The main goal of this book is to provide a largely self-contained, in-depth account of the linkage between...

This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9-11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India.Contemporary topics of...

This book is the second of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in...

Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context...

This book gives a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free approach. More precisely, it contains the description of polynomial functions in several variables...

This volume contains the proceedings of the Arizona Winter School 2016, which was held from March 12-16, 2016, at The University of Arizona, Tucson, AZ. In the last decade or so, analytic methods have had great success in answering questions in...

This volume contains the proceedings of the conference A Panorama on Singular Varieties, celebrating the 70th birthday of Le Dung Trang, held from February 7-10, 2017, at the University of Seville, IMUS, Seville, Spain. The articles cover a wide range of...

This book introduces students to the world of advanced mathematics using algebraic structures as a unifying theme. Having no prerequisites beyond precalculus and an interest in abstract reasoning, the book is suitable for students of math education,...

This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November 12-13, 2016, at North Carolina State University, Raleigh, North Carolina.The articles cover various...

This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most...

Erdos asked how many distinct distances must there be in a set of $n$ points in the plane. Falconer asked a continuous analogue, essentially asking what is the minimal Hausdorff dimension required of a compact set in order to guarantee that the set of...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781470444020Author Patrick DelormeFormat PaperbackPage Count 100Imprint American Mathematical SocietyPublisher American Mathematical SocietyWeight(grams)...

Central simple algebras arise naturally in many areas of mathematics. They are closely connected with ring theory, but are also important in representation theory, algebraic geometry and number theory. Recently, surprising applications of the theory of...

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This is a two-volume set. Both volumes focus on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with...

Linear Algebra and Geometry is organized around carefully sequenced problems that help students build both the tools and the habits that provide a solid basis for further study in mathematics. Requiring only high school algebra, it uses elementary...

Much of modern algebra arose from attempts to prove Fermat's Last Theorem, which in turn has its roots in Diophantus' classification of Pythagorean triples. This book, designed for prospective and practising mathematics teachers, makes explicit...

This volume contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held from August 10-19, 2016, at Syracuse University, Syracuse, NY.Included are three survey articles based on short...

This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28-August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy.Papers contained...

This volume contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. Reflecting the diverse landscape of modern representation theory of algebras, the...

Systems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the...

Nonassociative mathematics is a broad research area that studies mathematical structures violating the associative law $x(yz)=(xy)z$. The topics covered by nonassociative mathematics include quasigroups, loops, Latin squares, Lie algebras, Jordan...

If $X$ is a manifold then the $/mathbb R$-algebra $C^/infty (X)$ of smooth functions $c:X/rightarrow /mathbb R$ is a $C^/infty $-ring. That is, for each smooth function $f:/mathbb R^n/rightarrow /mathbb R$ there is an $n$-fold operation $/Phi _f:C^/infty...

The purpose of this book is to promote understanding of two phenomena: sensitivity of linear systems and least squares problems, and numerical stability of algorithms. Sensitivity and stability are analyzed as mathematical properties, without reference...

This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number...

Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular $n$-gons and the properties of roots of unity, and then on...

Algebraic structures have come to be ubiquitous in mathematics, with almost all mathematicians encountering groups, rings, fields or more exotic related objects during the course of their research. This book presents an overview of some of the most...