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Author : Maxime Bôcher
Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.:/5 (42 download)
Download or read book Introduction to Higher Algebra written by Maxime Bôcher and published by . This book was released on 1907 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lindsay N. Childs
Publisher : Springer Science & Business Media
ISBN 13 : 1441987029
Total Pages : 540 pages
Book Rating : 4.4/5 (419 download)
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay N. Childs and published by Springer Science & Business Media. This book was released on 2012-12-04 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.
Author : Lindsay Childs
Publisher : Springer Science & Business Media
ISBN 13 : 1468400657
Total Pages : 348 pages
Book Rating : 4.4/5 (684 download)
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay Childs and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level course at the State University of New York at Albany entitled Classical Algebra. In the 1950s and before, it was customary for the first course in algebra to be a course in the theory of equations, consisting of a study of polynomials over the complex, real, and rational numbers, and, to a lesser extent, linear algebra from the point of view of systems of equations. Abstract algebra, that is, the study of groups, rings, and fields, usually followed such a course. In recent years the theory of equations course has disappeared. Without it, students entering abstract algebra courses tend to lack the experience in the algebraic theory of the basic classical examples of the integers and polynomials necessary for understanding, and more importantly, for ap preciating the formalism. To meet this problem, several texts have recently appeared introducing algebra through number theory.
Author : Lindsay N. Childs
Publisher : Springer Science & Business Media
ISBN 13 : 0387747257
Total Pages : 592 pages
Book Rating : 4.3/5 (877 download)
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay N. Childs and published by Springer Science & Business Media. This book was released on 2008-12-05 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises are found throughout the book.
Author : Abraham Adrian Albert
Publisher : Courier Dover Publications
ISBN 13 : 0486823849
Total Pages : 337 pages
Book Rating : 4.4/5 (868 download)
Download or read book Modern Higher Algebra written by Abraham Adrian Albert and published by Courier Dover Publications. This book was released on 2018-03-21 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Chicago: University of Chicago Press, 1937.
Author : A. Mostowski
Publisher : Elsevier
ISBN 13 : 1483280357
Total Pages : 475 pages
Book Rating : 4.4/5 (832 download)
Download or read book Introduction to Higher Algebra written by A. Mostowski and published by Elsevier. This book was released on 2014-07-18 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Higher Algebra is an 11-chapter text that covers some mathematical investigations concerning higher algebra. After an introduction to sets of functions, mathematical induction, and arbitrary numbers, this book goes on considering some combinatorial problems, complex numbers, determinants, vector spaces, and linear equations. These topics are followed by discussions of the determination of polynomials in ne variable, rings of real and complex polynomials, and algebraic and transcendental numbers. The final chapters deal with the polynomials in several variables, symmetric functions, the theory of elimination, and the quadratic and Hermitian forms. This book will be of value to mathematicians and students.
Author : Jonathan D. H. Smith
Publisher : CRC Press
ISBN 13 : 1498731813
Total Pages : 324 pages
Book Rating : 4.4/5 (987 download)
Download or read book Introduction to Abstract Algebra written by Jonathan D. H. Smith and published by CRC Press. This book was released on 2015-10-23 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with groups.This new edition of a widely adopted textbook covers
Author : Bocher Maxime
Publisher :
ISBN 13 : 9780259617792
Total Pages : pages
Book Rating : 4.6/5 (177 download)
Download or read book Introduction to Higher Algebra written by Bocher Maxime and published by . This book was released on 1901 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
ISBN 13 : 0817646132
Total Pages : 730 pages
Book Rating : 4.8/5 (176 download)
Download or read book Advanced Algebra written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-10-11 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
Author : Maxime Bôcher
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.A/5 ( download)
Download or read book Introduction to Higher Algebra written by Maxime Bôcher and published by . This book was released on 1907 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles A. Weibel
Publisher : American Mathematical Soc.
ISBN 13 : 0821891324
Total Pages : 634 pages
Book Rating : 4.8/5 (218 download)
Download or read book The $K$-book written by Charles A. Weibel and published by American Mathematical Soc.. This book was released on 2013-06-13 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
Author : Géza Schay
Publisher : Springer Science & Business Media
ISBN 13 : 0817683259
Total Pages : 338 pages
Book Rating : 4.8/5 (176 download)
Download or read book A Concise Introduction to Linear Algebra written by Géza Schay and published by Springer Science & Business Media. This book was released on 2012-03-30 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the author's previous edition on the subject (Introduction to Linear Algebra, Jones & Bartlett, 1996), this book offers a refreshingly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester. Although the exposition generally falls in line with the material recommended by the Linear Algebra Curriculum Study Group, it notably deviates in providing an early emphasis on the geometric foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables an easier grasp of more abstract concepts covered later in the course. The focus throughout is rooted in the mathematical fundamentals, but the text also investigates a number of interesting applications, including a section on computer graphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, many visuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book. Brief yet precise and rigorous, this work is an ideal choice for a one-semester course in linear algebra targeted primarily at math or physics majors. It is a valuable tool for any professor who teaches the subject.
Author : Joseph Landin
Publisher : Courier Corporation
ISBN 13 : 0486150410
Total Pages : 275 pages
Book Rating : 4.4/5 (861 download)
Download or read book An Introduction to Algebraic Structures written by Joseph Landin and published by Courier Corporation. This book was released on 2012-08-29 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)
Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author : Maxime Bôcher
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (7 download)
Download or read book Introduction to Higher Algebra written by Maxime Bôcher and published by . This book was released on 1959 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Artin
Publisher : Pearson Higher Ed
ISBN 13 : 1292051744
Total Pages : 491 pages
Book Rating : 4.2/5 (92 download)
Download or read book Algebra written by Michael Artin and published by Pearson Higher Ed. This book was released on 2013-10-03 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed. Algebra, 2nd Edition, by Michael Artin, is ideal for the honors undergraduate or introductory graduate course. This edition of this classic text incorporates twenty years of feedback and the author’s own teaching experience. The text discusses concrete topics of algebra in greater detail than most texts, preparing students for the more abstract concepts; linear algebra is tightly integrated throughout.
Author : Jacob Lurie
Publisher : Princeton University Press
ISBN 13 : 1400830559
Total Pages : 944 pages
Book Rating : 4.4/5 (8 download)
Download or read book Higher Topos Theory (AM-170) written by Jacob Lurie and published by Princeton University Press. This book was released on 2009-07-06 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory, Jacob Lurie presents the foundations of this theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language. The result is a powerful theory with applications in many areas of mathematics. The book's first five chapters give an exposition of the theory of infinity-categories that emphasizes their role as a generalization of ordinary categories. Many of the fundamental ideas from classical category theory are generalized to the infinity-categorical setting, such as limits and colimits, adjoint functors, ind-objects and pro-objects, locally accessible and presentable categories, Grothendieck fibrations, presheaves, and Yoneda's lemma. A sixth chapter presents an infinity-categorical version of the theory of Grothendieck topoi, introducing the notion of an infinity-topos, an infinity-category that resembles the infinity-category of topological spaces in the sense that it satisfies certain axioms that codify some of the basic principles of algebraic topology. A seventh and final chapter presents applications that illustrate connections between the theory of higher topoi and ideas from classical topology.
