Algebra Moderna
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Algebra Moderna
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Author : Miguel Romero Perez
language : en
Publisher:
Release Date :
Algebra Moderna written by Miguel Romero Perez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Algebra categories.
Basic Structures Of Modern Algebra
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Author : Y. Bahturin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Basic Structures Of Modern Algebra written by Y. Bahturin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This book has developed from a series of lectures which were given by the author in mechanics-mathematics department of the Moscow State University. In 1981 the course "Additional chapters in algebra" replaced the course "Gen eral algebra" which was founded by A. G. Kurosh (1908-1971), professor and head of the department of higher algebra for a period of several decades. The material of this course formed the basis of A. G. Kurosh's well-known book "Lectures on general algebra" (Moscow,1962; 2-nd edition: Moscow, Nauka, 1973) and the book "General algebra. Lectures of 1969-1970. " (Moscow, Nauka, 1974). Another book based on the course, "Elements of general al gebra" (M. : Nauka, 1983) was published by L. A. Skorniakov, professor, now deceased, in the same department. It should be noted that A. G. Kurosh was not only the lecturer for the course "General algebra" but he was also the recognized leader of the scientific school of the same name. It is difficult to determine the limits of this school; however, the "Lectures . . . " of 1962 men tioned above contain some material which exceed these limits. Eventually this effect intensified: the lectures of the course were given by many well-known scientists, and some of them see themselves as "general algebraists". Each lecturer brought significant originality not only in presentation of the material but in the substance of the course. Therefore not all material which is now accepted as necessary for algebraic students fits within the scope of general algebra.
Introduction To Modern Algebra And Its Applications
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Author : Nadiya Gubareni
language : en
Publisher: CRC Press
Release Date : 2021-06-23
Introduction To Modern Algebra And Its Applications written by Nadiya Gubareni and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Mathematics categories.
The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. In particular, it considers algorithm RSA, secret sharing algorithms, Diffie-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger’s algorithm which is one of the important algorithms for constructing Gröbner basis. Key Features: Covers all major topics of classical theory of modern abstract algebra such as groups, rings and fields and their applications. In addition it provides the introduction to the number theory, theory of finite fields, finite dimensional algebras and their applications. Provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. Presents numerous examples illustrating the theory and applications. It is also filled with a number of exercises of various difficulty. Describes in detail the construction of the Cayley-Dickson construction for finite dimensional algebras, in particular, algebras of quaternions and octonions and gives their applications in the number theory and computer graphics.
Advanced Modern Algebra
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Author : Joseph J. Rotman
language : en
Publisher: American Mathematical Society
Release Date : 2023-02-22
Advanced Modern Algebra written by Joseph J. Rotman and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-22 with Mathematics categories.
This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.
Modern Algebra
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Author : B.S. Vatsa
language : en
Publisher: New Age International
Release Date : 2009
Modern Algebra written by B.S. Vatsa and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Learning Modern Algebra
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Author : Albert Cuoco
language : en
Publisher: MAA
Release Date : 2013
Learning Modern Algebra written by Albert Cuoco and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics.
Basic Algebra I
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Author : Nathan Jacobson
language : en
Publisher: Courier Corporation
Release Date : 2009-06-22
Basic Algebra I written by Nathan Jacobson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-22 with Mathematics categories.
"Explores all of the topics typically covered in undergraduate courses including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra"--Cover p. 4
Modern Algebra
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Author : Ian Connell
language : en
Publisher: North-Holland
Release Date : 1982
Modern Algebra written by Ian Connell and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Advanced Modern Algebra
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Author : Joseph J. Rotman
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-08-11
Advanced Modern Algebra written by Joseph J. Rotman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-11 with Mathematics categories.
"This book is designed as a text for the first year of graduate algebra, but it can also serve as a reference since it contains more advanced topics as well. This second edition has a different organization than the first. It begins with a discussion of the cubic and quartic equations, which leads into permutations, group theory, and Galois theory (for finite extensions; infinite Galois theory is discussed later in the book). The study of groups continues with finite abelian groups (finitely generated groups are discussed later, in the context of module theory), Sylow theorems, simplicity of projective unimodular groups, free groups and presentations, and the Nielsen-Schreier theorem (subgroups of free groups are free). The study of commutative rings continues with prime and maximal ideals, unique factorization, noetherian rings, Zorn's lemma and applications, varieties, and Gr'obner bases. Next, noncommutative rings and modules are discussed, treating tensor product, projective, injective, and flat modules, categories, functors, and natural transformations, categorical constructions (including direct and inverse limits), and adjoint functors. Then follow group representations: Wedderburn-Artin theorems, character theory, theorems of Burnside and Frobenius, division rings, Brauer groups, and abelian categories. Advanced linear algebra treats canonical forms for matrices and the structure of modules over PIDs, followed by multilinear algebra. Homology is introduced, first for simplicial complexes, then as derived functors, with applications to Ext, Tor, and cohomology of groups, crossed products, and an introduction to algebraic K-theory. Finally, the author treats localization, Dedekind rings and algebraic number theory, and homological dimensions. The book ends with the proof that regular local rings have unique factorization."--Publisher's description.
Algebra
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Author : Saunders Mac Lane
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Algebra written by Saunders Mac Lane and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Presents modern algebra from first principles. This title combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. It presents a conceptual approach to algebra that starts with a description of algebraic structures by means of axioms chosen to suit the examples.