الجبر Books in Abstract Algebraكتب في الجبر المجرد

المصدر: Books in Abstract Algebraكتب في الجبر المجرد
في منتدى : قسم الرياضيات

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السلام عليكم​

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A First Course in Abstract Algebra, 7th Edition​

By John B. Fraleigh​

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• Publisher: Addison Wesley
• Number Of Pages: 536
• Publication Date: 2002-11-16
• ISBN-10 / ASIN: 0201763907
• ISBN-13 / EAN: 9780201763904
• Binding: Hardcover

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Product Description: ​

This is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, it should give students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. Features include: a classical approach to abstract algebra focussing on applications; an accessible pedagogy including historical notes written by Victor Katz; and a study of group theory.​

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Abstract Algebra, 3rd Edition​

By I. N. Herstein​

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• Publisher: Wiley
• Number Of Pages: 272
• Publication Date: 1996-01-01
• ISBN-10 / ASIN: 0471368792
• ISBN-13 / EAN: 9780471368793
• Binding: Hardcover

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Product Description: ​

Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.​

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First Course in Abstract Algebra, A (3rd Edition)​

By Joseph J. Rotman​

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• Publisher: Prentice Hall
• Number Of Pages: 640
• Publication Date: 2005-10-08
• ISBN-10 / ASIN: 0131862677
• ISBN-13 / EAN: 9780131862678
• Binding: Hardcover

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Product Description: ​

This text introduces students to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.​

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A History of Abstract Algebra​

By Israel Kleiner​

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• Publisher: Birkhäuser Boston
• Number Of Pages: 168
• Publication Date: 2007-10-02
• ISBN-10 / ASIN: 0817646841
• ISBN-13 / EAN: 9780817646844
• Binding: Paperback

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Product Description: ​

Prior to the nineteenth century, algebra meant the study of the solution of polynomial equations. By the twentieth century algebra came to encompass the study of abstract, axiomatic systems such as groups, rings, and fields. This presentation provides an account of the history of the basic concepts, results, and theories of abstract algebra.​

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The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing context from which the reader may gain a deeper appreciation of the mathematics involved.​

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Key features:​

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* Begins with an overview of classical algebra​

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* Contains separate chapters on aspects of the development of groups, rings, and fields​

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* Examines the evolution of linear algebra as it relates to other elements of abstract algebra​

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* Highlights the lives and works of six notables: Cayley, Dedekind, Galois, Gauss, Hamilton, and especially the pioneering work of Emmy Noether​

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* Offers suggestions to instructors on ways of integrating the history of abstract algebra into their teaching​

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* Each chapter concludes with extensive references to the relevant literature​

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Mathematics instructors, algebraists, and historians of science will find the work a valuable reference. The book may also serve as a supplemental text for courses in abstract algebra or the history of mathematics.​

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Applications of Abstract Algebra with MAPLE​

By Richard E. Klima, Neil Sigmon, Ernest Stitzinger​

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• Publisher: CRC
• Number Of Pages: 272
• Publication Date: 1999-09-28
• ISBN-10 / ASIN: 0849381703
• ISBN-13 / EAN: 9780849381706
• Binding: Hardcover

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Product Description: ​

Abstract Algebra Applications with Maple opens the door to cryptography, coding, Polya counting theory, and the many other areas dependent on abstract algebra. The authors have carefully integrated the Maple V software throughout the text, enabling readers to see realistic examples of the topics discussed without struggling with the computations. They have done so in such a way that the book stands well on its own if the reader does not have access to the software. The material involving Maple is broken out into separate chapters, easily skipped if the software is not available. The text includes a first-chapter review of the mathematics required - groups, rings, and finite fields - and a Maple tutorial in the appendix.​

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Abstract Algebra (Graduate Texts in Mathematics)​

By Pierre Antoine Grillet​

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• Publisher: Springer
• Number Of Pages: 676
• Publication Date: 2007-07-24
• ISBN-10 / ASIN: 0387715673
• ISBN-13 / EAN: 9780387715674
• Binding: Hardcover

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Product Description: ​

About the first edition:​

“The text is geared to the needs of the beginning graduate student, covering with complete, well-written proofs the usual major branches of groups, rings, fields, and modules...[n]one of the material one expects in a book like this is missing, and the level of detail is appropriate for its intended audience.” (Alberto Delgado, MathSciNet)​

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“This text promotes the conceptual understanding of algebra as a whole, and that with great methodological mastery. Although the presentation is predominantly abstract...it nevertheless features a careful selection of important examples, together with a remarkably detailed and strategically skillful elaboration of the more sophisticated, abstract theories.” (Werner Kleinert, Zentralblatt)​

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For the new edition, the author has completely rewritten the text, reorganized many of the sections, and even cut or shortened material which is no longer essential. He has added a chapter on Ext and Tor, as well as a bit of topology.​

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Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates (Dover Books on Mathematics)​

By Robert B. Ash​

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• Publisher: Dover Publications
• Number Of Pages: 432
• Publication Date: 2006-12-01
• ISBN-10 / ASIN: 0486453561
• ISBN-13 / EAN: 9780486453569
• Binding: Paperback

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Product Description: ​

This survey of fundamental algebraic structures employs techniques applicable to mathematics, physics, engineering, and computer science. Topics include relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of number theory, geometry, and noncommutative and homological algebra. Solutions. 2006 edition.​

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An Introduction to Abstract Algebra (De Gruyter Textbook)
By Derek J. S. Robinson

• Publisher: Walter de Gruyter
• Number Of Pages: 282
• Publication Date: 2003-01
• ISBN-10 / ASIN: 3110175444
• ISBN-13 / EAN: 9783110175448
• Binding: Paperback

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Product Description:

This book gives a high level introduction to the main concepts of modern algebra. It contains numerous applications, such as: Polya colouring theory, latin squares, Steiner systems and error correcting codes are described, along with group and ring theory, which are all designed to show the relevance of algebra today. There are nearly 400 problems of varying degrees of difficulty, in order to test the reader's skill and progress.

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Abstract Algebra with Applications, Volume 1: Vector spaces and groups​

By Karlheinz Spindler​

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• Publisher: CRC
• Number Of Pages: 776
• Publication Date: 1993-10-18
• ISBN-10 / ASIN: 0824791444
• ISBN-13 / EAN: 9780824791445
• Binding: Hardcover

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Abstract Algebra with Applications, Volume 2: Rings and Fields​

By Karlheinz Spindler​

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• Publisher: Marcel Dekker
• Number Of Pages: 531
• Publication Date: 1994-10-18
• ISBN-10 / ASIN: 0824791592
• ISBN-13 / EAN: 9780824791599
• Binding: Hardcover

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Product Description: ​

A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.​

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Applied Abstract Algebra​

By David Joyner, Richard Kreminski, Joann Turisco​

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• Publisher: The Johns Hopkins University Press
• Number Of Pages: 329
• Publication Date: 2004-04-27
• ISBN-10 / ASIN: 0801878225
• ISBN-13 / EAN: 9780801878220
• Binding: Hardcover

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Product Description: ​

With the advent of computers that can handle symbolic manipulations, abstract algebra can now be applied. In this book David Joyner, Richard Kreminski, and Joann Turisco introduce a wide range of abstract algebra with relevant and interesting applications, from error-correcting codes to cryptography to the group theory of Rubik's cube. They cover basic topics such as the Euclidean algorithm, encryption, and permutations. Hamming codes and Reed-Solomon codes used on today's CDs are also discussed. The authors present examples as diverse as "Rotation," available on the Nokia 7160 cell phone, bell ringing, and the game of NIM. In place of the standard treatment of group theory, which emphasizes the classification of groups, the authors highlight examples and computations. Cyclic groups, the general linear group GL, and the symmetric groups are emphasized.​

With its clear writing style and wealth of examples, Applied Abstract Algebra will be welcomed by mathematicians, computer scientists, and students alike. Each chapter includes exercises in GAP (a free computer algebra system) and MAGMA (a noncommercial computer algebra system), which are especially helpful in giving students a grasp of practical examples.​

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A First Graduate Course in Abstract Algebra (Pure and Applied Mathematics)​

By W.J. Wickless​

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• Publisher: CRC
• Number Of Pages: 250
• Publication Date: 2004-03-28
• ISBN-10 / ASIN: 0824756274
• ISBN-13 / EAN: 9780824756277
• Binding: Hardcover

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Product Description: ​

Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both challenging and stimulating. A First Graduate Course in Abstract Algebra is just such a textbook. Divided into two sections, this book covers both the standard topics (groups, modules, rings, and vector spaces) associated with abstract algebra and more advanced topics such as Galois fields, noncommutative rings, group extensions, and Abelian groups. The author includes review material where needed instead of in a single chapter, giving convenient access with minimal page turning. He also provides ample examples, exercises, and problem sets to reinforce the material. This book illustrates the theory of finitely generated modules over principal ideal domains, discusses tensor products, and demonstrates the development of determinants. It also covers Sylow theory and Jordan canonical form. A First Graduate Course in Abstract Algebra is ideal for a two-semester course, providing enough examples, problems, and exercises for a deep understanding. Each of the final three chapters is logically independent and can be covered in any order, perfect for a customized syllabus.​

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Abstract Algebra 3rd Edition​

by David S. Dummit Richard M. Foote​

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• Publisher: Wiley
• Number Of Pages: 944
• Publication Date: 2003-07-14
• ISBN-10 / ASIN: 0471433349
• ISBN-13 / EAN: 9780471433347
• Binding: Hardcover

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Intro to Abstract Algebra 1996-06​

by Paul Garrett ​

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• Publisher: Not Avail
• Number Of Pages: 276
• Publication Date: 1996-06
• ISBN-10 / ASIN: 0673059510
• ISBN-13 / EAN: 9780673059512
• Binding: Unknown Binding

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لمزيد من المعلومات حول هذا الكتاب والمؤلف أيضاً إختبارات يمكنك الإطلاع على هذا الموقع​

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David Wilkins: “Abstract Algebra”, School of Mathematics, Trinity College, Dublin, 2007/2008, 104p.​

These are Lecture notes for course Abstract algebra, taught at Trinity College (Dublin) in the academic year 2007-08, material is presented in compact but rigorous form, almost all theorems are stated with proofs. All in all, enough material is included, as a basis for more advanced and detailed course in general algebra or for other courses (number theory, algebraic geometry, algebraic topology, discrete mathematics…).​

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Contents (chapters):​

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1Topics in Group Theory​

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2 Rings and Polynomials​

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3 Introduction to Galois Theory​

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4 Commutative Algebra and Algebraic Geometry​

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بإمكانك تحميل المزيد من المحاضرات لهذا المؤلف من هذا الرابط​

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You can download all his lectures from the Wilkins website​

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أو​

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Lectures in Abstract Algebra I: Basic Concepts (Graduate Texts in Mathematics)​

By N. Jacobson​

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• Publisher: Springer
• Number Of Pages: 217
• Publication Date: 1976-05-27
• ISBN-10 / ASIN: 0387901817
• ISBN-13 / EAN: 9780387901817
• Binding: Hardcover

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