Handbook Of Algebra

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Handbook of Algebra

M. Hazewinkel
Handbook of Algebra Book PDF

Author : M. Hazewinkel
Publisher : Elsevier
Page : 542 pages
File Size : 41,5 Mb
Release : 2006-05-30
Category : Mathematics
ISBN : 0080462499

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Handbook of Algebra by M. Hazewinkel Pdf

Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source for information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes

Handbook of Algebra

Anonim
Handbook of Algebra Book PDF

Author : Anonim
Publisher : Elsevier
Page : 936 pages
File Size : 46,8 Mb
Release : 1995-12-18
Category : Mathematics
ISBN : 9780080532950

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Handbook of Algebra by Anonim Pdf

Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. Each chapter of the book combines some of the features of both a graduate-level textbook and a research-level survey. This book is divided into eight sections. Section 1A focuses on linear algebra and discusses such concepts as matrix functions and equations and random matrices. Section 1B cover linear dependence and discusses matroids. Section 1D focuses on fields, Galois Theory, and algebraic number theory. Section 1F tackles generalizations of fields and related objects. Section 2A focuses on category theory, including the topos theory and categorical structures. Section 2B discusses homological algebra, cohomology, and cohomological methods in algebra. Section 3A focuses on commutative rings and algebras. Finally, Section 3B focuses on associative rings and algebras. This book will be of interest to mathematicians, logicians, and computer scientists.

The Concise Handbook of Algebra

Alexander V. Mikhalev,G.F. Pilz
The Concise Handbook of Algebra Book PDF

Author : Alexander V. Mikhalev,G.F. Pilz
Publisher : Springer Science & Business Media
Page : 629 pages
File Size : 46,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401732673

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The Concise Handbook of Algebra by Alexander V. Mikhalev,G.F. Pilz Pdf

It is by no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that a book on "our heart" might be useful. We have tried to catch this heart in a collection of about 150 short sections, written by leading algebraists in these areas. These sections are organized in 9 chapters A, B, . . . , I. Of course, the selection is partly based on personal preferences, and we ask you for your understanding if some selections do not meet your taste (for unknown reasons, we only had problems in the chapter "Groups" to get enough articles in time). We hope that this book sets up a standard of what all algebraists are supposed to know in "their" chapters; interested people from other areas should be able to get a quick idea about the area. So the target group consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of our selected topics. The prerequisites are something like the contents of standard textbooks on higher algebra. This book should also enable the reader to read the "big" Handbook (Hazewinkel 1999-) and other handbooks. In case of multiple authors, the authors are listed alphabetically; so their order has nothing to do with the amounts of their contributions.

Handbook of Linear Algebra, Second Edition

Leslie Hogben
Handbook of Linear Algebra Second Edition Book PDF

Author : Leslie Hogben
Publisher : CRC Press
Page : 1906 pages
File Size : 47,5 Mb
Release : 2013-11-26
Category : Mathematics
ISBN : 9781466507289

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Handbook of Linear Algebra, Second Edition by Leslie Hogben Pdf

With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.

Handbook of Process Algebra

J.A. Bergstra,A. Ponse,S.A. Smolka
Handbook of Process Algebra Book PDF

Author : J.A. Bergstra,A. Ponse,S.A. Smolka
Publisher : Elsevier
Page : 1357 pages
File Size : 54,5 Mb
Release : 2001-03-16
Category : Computers
ISBN : 9780080533674

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Handbook of Process Algebra by J.A. Bergstra,A. Ponse,S.A. Smolka Pdf

Process Algebra is a formal description technique for complex computer systems, especially those involving communicating, concurrently executing components. It is a subject that concurrently touches many topic areas of computer science and discrete math, including system design notations, logic, concurrency theory, specification and verification, operational semantics, algorithms, complexity theory, and, of course, algebra.This Handbook documents the fate of process algebra since its inception in the late 1970's to the present. It is intended to serve as a reference source for researchers, students, and system designers and engineers interested in either the theory of process algebra or in learning what process algebra brings to the table as a formal system description and verification technique. The Handbook is divided into six parts spanning a total of 19 self-contained Chapters. The organization is as follows. Part 1, consisting of four chapters, covers a broad swath of the basic theory of process algebra. Part 2 contains two chapters devoted to the sub-specialization of process algebra known as finite-state processes, while the three chapters of Part 3 look at infinite-state processes, value-passing processes and mobile processes in particular. Part 4, also three chapters in length, explores several extensions to process algebra including real-time, probability and priority. The four chapters of Part 5 examine non-interleaving process algebras, while Part 6's three chapters address process-algebra tools and applications.

Handbook of Algebraic Topology

I.M. James
Handbook of Algebraic Topology Book PDF

Author : I.M. James
Publisher : Elsevier
Page : 1324 pages
File Size : 44,9 Mb
Release : 1995-07-18
Category : Mathematics
ISBN : 0080532985

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Handbook of Algebraic Topology by I.M. James Pdf

Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.

Computer Algebra Handbook

Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning
Computer Algebra Handbook Book PDF

Author : Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning
Publisher : Springer Science & Business Media
Page : 656 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642558269

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Computer Algebra Handbook by Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning Pdf

This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.

A Handbook of Terms used in Algebra and Analysis

A. G. Howson
A Handbook of Terms used in Algebra and Analysis Book PDF

Author : A. G. Howson
Publisher : Cambridge University Press
Page : 254 pages
File Size : 52,6 Mb
Release : 1972-09-07
Category : Mathematics
ISBN : 0521084342

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A Handbook of Terms used in Algebra and Analysis by A. G. Howson Pdf

Degree students of mathematics are often daunted by the mass of definitions and theorems with which they must familiarize themselves. In the fields algebra and analysis this burden will now be reduced because in A Handbook of Terms they will find sufficient explanations of the terms and the symbolism that they are likely to come across in their university courses. Rather than being like an alphabetical dictionary, the order and division of the sections correspond to the way in which mathematics can be developed. This arrangement, together with the numerous notes and examples that are interspersed with the text, will give students some feeling for the underlying mathematics. Many of the terms are explained in several sections of the book, and alternative definitions are given. Theorems, too, are frequently stated at alternative levels of generality. Where possible, attention is drawn to those occasions where various authors ascribe different meanings to the same term. The handbook will be extremely useful to students for revision purposes. It is also an excellent source of reference for professional mathematicians, lecturers and teachers.

Handbook of Categorical Algebra: Volume 1, Basic Category Theory

Francis Borceux
Handbook of Categorical Algebra Volume 1 Basic Category Theory Book PDF

Author : Francis Borceux
Publisher : Cambridge University Press
Page : 363 pages
File Size : 45,5 Mb
Release : 1994-08-26
Category : Mathematics
ISBN : 9780521441780

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Handbook of Categorical Algebra: Volume 1, Basic Category Theory by Francis Borceux Pdf

The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. In particular, Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory.

Handbook of Analysis and Its Foundations

Eric Schechter
Handbook of Analysis and Its Foundations Book PDF

Author : Eric Schechter
Publisher : Academic Press
Page : 907 pages
File Size : 41,8 Mb
Release : 1996-10-24
Category : Mathematics
ISBN : 9780080532998

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Handbook of Analysis and Its Foundations by Eric Schechter Pdf

Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/

Handbook of Categorical Algebra: Volume 2, Categories and Structures

Francis Borceux
Handbook of Categorical Algebra Volume 2 Categories and Structures Book PDF

Author : Francis Borceux
Publisher : Cambridge University Press
Page : 0 pages
File Size : 47,6 Mb
Release : 2008-04-24
Category : Mathematics
ISBN : 0521061229

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Handbook of Categorical Algebra: Volume 2, Categories and Structures by Francis Borceux Pdf

The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.

Handbook for Automatic Computation

John H. Wilkinson,C. Reinsch
Handbook for Automatic Computation Book PDF

Author : John H. Wilkinson,C. Reinsch
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642869402

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Handbook for Automatic Computation by John H. Wilkinson,C. Reinsch Pdf

The development of the internationally standardized language ALGOL has made it possible to prepare procedures which can be used without modification whenever a computer with an ALGOL translator is available. Volume Ia in this series gave details of the restricted version of ALGOL which is to be employed throughout the Handbook, and volume Ib described its implementation on a computer. Each of the subsequent volumes will be devoted to a presentation of the basic algorithms in some specific areas of numerical analysis. This is the first such volume and it was feIt that the topic Linear Algebra was a natural choice, since the relevant algorithms are perhaps the most widely used in numerical analysis and have the advantage of forming a weil defined dass. The algorithms described here fall into two main categories, associated with the solution of linear systems and the algebraic eigenvalue problem respectively and each set is preceded by an introductory chapter giving a comparative assessment.

Handbook of Computer Vision Algorithms in Image Algebra

Joseph N. Wilson,Gerhard X. Ritter
Handbook of Computer Vision Algorithms in Image Algebra Book PDF

Author : Joseph N. Wilson,Gerhard X. Ritter
Publisher : CRC Press
Page : 444 pages
File Size : 44,9 Mb
Release : 2000-09-21
Category : Computers
ISBN : 9781420042382

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Handbook of Computer Vision Algorithms in Image Algebra by Joseph N. Wilson,Gerhard X. Ritter Pdf

Image algebra is a comprehensive, unifying theory of image transformations, image analysis, and image understanding. In 1996, the bestselling first edition of the Handbook of Computer Vision Algorithms in Image Algebra introduced engineers, scientists, and students to this powerful tool, its basic concepts, and its use in the concise representation

A Handbook of Model Categories

Scott Balchin
A Handbook of Model Categories Book PDF

Author : Scott Balchin
Publisher : Springer Nature
Page : 326 pages
File Size : 45,6 Mb
Release : 2021-10-29
Category : Mathematics
ISBN : 9783030750350

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A Handbook of Model Categories by Scott Balchin Pdf

This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the understanding of homotopy theory. While many introductions to model categories fall back on the same handful of canonical examples, the present book highlights a large, self-contained collection of other examples which appear throughout the literature. In particular, it collects a highly scattered literature into a single volume. The book is aimed at anyone who uses, or is interested in using, model categories to study homotopy theory. It is written in such a way that it can be used as a reference guide for those who are already experts in the field. However, it can also be used as an introduction to the theory for novices.

Handbook of Categorical Algebra: Volume 2, Categories and Structures

Francis Borceux
Handbook of Categorical Algebra Volume 2 Categories and Structures Book PDF

Author : Francis Borceux
Publisher : Cambridge University Press
Page : 470 pages
File Size : 46,9 Mb
Release : 1994-11-03
Category : Mathematics
ISBN : 9780521441797

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Handbook of Categorical Algebra: Volume 2, Categories and Structures by Francis Borceux Pdf

The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.