الجبر Algebra and some books

المصدر: Algebra and some books
في منتدى : قسم الرياضيات

Algebra

This article is about the branch of mathematics. For other uses, see Algebra (disambiguation).
Algebra comes from Arabic word (al-jabr , الجبر), it means a branch of mathematics concerning the study of structure, relation, and quantity. Together with geometry, analysis, combinatorics, and number theory, algebra is one of the main branches of mathematics. Elementary algebra is often part of the curriculum in secondary education and provides an introduction to the basic ideas of algebra, including effects of adding and multiplying numbers, the concept of variables, definition of polynomials, along with factorization and determining their roots.
Algebra is much broader than elementary algebra and can be generalized. In addition to working directly with numbers, algebra covers working with symbols, variables, and set elements. Addition and multiplication are viewed as general operations, and their precise definitions lead to structures such as groups, rings and fields.



Classification
Algebra may be divided roughly into the following categories:
Elementary algebra
in which the properties of operations on the real number system are recorded using symbols as "place holders" to denote constants and variables, and the rules governing mathematical expressions and equations involving these symbols are studied (note that this usually includes the subject matter of courses called intermediate algebra and college algebra), also called second year and third year algebra
Abstract algebra
sometimes also called modern algebra, in which algebraic structures such as groups, rings and fields are axiomatically defined and investigated; this includes, among other fields,
Linear algebra
in which the specific properties of vector spaces are studied (including matrices);
Universal algebra
in which properties common to all algebraic structures are studied.
Algebraic number theory
in which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.
Algebraic geometry
in its algebraic aspect.
Algebraic combinatorics
in which abstract algebraic methods are used to study combinatorial questions.
In some directions of advanced study, axiomatic algebraic systems such as groups, rings, fields, and algebras over a field are investigated in the presence of a geometric structure (a metric or a topology) which is compatible with the algebraic structure. The list includes a number of areas of functional analysis:
Normed linear spaces
Banach spaces
Hilbert spaces
Banach algebras
Normed algebras
Topological algebras
Topological groups
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رد : Algebra and some books

Algebra ​

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Product Description​

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"Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." NOTICES OF THE AMS​

"The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra." MATHEMATICAL REVIEWS​

This book is intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text.​

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Product Details​

Hardcover: 912 pages ​

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Publisher: Springer; 3rd edition​

(June 21, 2005) ​

Language: English ​

ISBN-10: 038795385X ​

ISBN-13: 978-0387953854 ​

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Solutions​

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رد : Algebra and some books

Algebra
(Graduate Texts in Mathematics)

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Product Description​

Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth.​

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Hardcover: 528 pages ​

(February 14, 2003) ​

Language: English ​

ISBN-10: 0387905189 ​

ISBN-13: 978-0387905181 ​

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رد : Algebra and some books

Elements Of Algebra

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Product Description​

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork. ​

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Paperback: 372 pages ​

Publisher: Becker Press​

(March 15, 2007) ​

Language: English ​

ISBN-10: 1406700339 ​

ISBN-13: 978-1406700336 ​

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Elementary Algebra with Applications

by (Author),

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Product Details

Hardcover: 536 pages
Publisher: McGraw-Hill Companies; 3rd edition
(November 1991)
Language: English
ISBN-10: 0697085805
ISBN-13: 978-0697085801

Download from here
The book is divided into 3 parts. 145mb PDF.


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رد : Algebra and some books

Abstract Algebra

(Graduate Texts in Mathematics)

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Product Description​

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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)​

“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)​

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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Hardcover: 676 pages pdf ​

Publisher: Springer; 2nd edition​

(July 24, 2007) ​

Language: English ​

ISBN-10: 0387715673 ​

ISBN-13: 978-0387715674 ​

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رد : Algebra and some books

First Course in Abstract Algebra, A​

(7th Edition) ​

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by ​

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Book Info​

An introduction to abstract algebra. Provides valuable experience for any further axiomatic study of mathematics. DLC: Algebra, Abstract. --This text refers to an out of print or unavailable edition of this title. ​

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Product Details​

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Hardcover: 536 pages Djvu ​

Publisher: Addison Wesley; 7 edition​

(November 16, 2002) ​

Language: English ​

ISBN-10: 0201763907 ​

ISBN-13: 978-0201763904 ​

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رد : Algebra and some books

Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates

(Dover Books on Mathematics)

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Product Description​

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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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Paperback: 432 pages Djvu ​

Publisher: Dover Publications ​

(December 1, 2006) ​

Language: English ​

ISBN-10: 0486453561 ​

ISBN-13: 978-0486453569 ​

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رد : Algebra and some books

An Introduction to Abstract Algebra

(De Gruyter Textbook)

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Book Description​

This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. ​

The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader’s skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe. ​

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Product Details​

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Paperback: 282 pages ​

Publisher: Walter de Gruyter​

(January 2003) ​

Language: English ​

ISBN-10: 3110175444 ​

ISBN-13: 978-3110175448 ​

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رد : Algebra and some books

Advanced Linear Algebra

(Graduate Texts in Mathematics)

by ​

مشاهدة المرفق 66113 ​

Product Description​

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This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems..​

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Hardcover: 544 pages pdf ​

Publisher: Springer; 3rd edition (October 8, 2007) ​

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Language: English​

• ISBN-10:0387728287​
• ISBN-13: 978-0387728285 ​

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رد : Algebra and some books

Linear Algebra

(2nd Edition)

by (Author), ​

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The publisher, Prentice-Hall Engineering/Science/Mathematics​

This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems. ​

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Product Details​

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Hardcover: 407 pages ​

Publisher: Prentice Hall; 2 edition​

(April 25, 1971) ​

Language: English ​

ISBN-10: 0135367972 ​

ISBN-13: 978-0135367971 ​

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القمر منور اليوم ... و عبد الجبار منور دوووووم ... الله لا يحرمنا من مجهوداتكم القيمة ... عوداً حميداً أخي العزيز ...

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هلا والله فيك وبردك اللي يثلج الصدر مرحبا بمستشارنا الغالي والله ان كلامك وسام على صدري وما كلماتي الا قطرة من بحر ابداعكم
تقبل تحياتي وشكري وتقديري​

 

و فيك البركة أخي الحبيب ..... شكرا لمرور الحلو​