Some Aspects of the Constructibility Problem
Author: Woodrow H. McBride
Publisher:
Published: 1947
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Woodrow H. McBride
Publisher:
Published: 1947
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKAuthor: K. J. Devlin
Publisher:
Published: 2014-01-15
Total Pages: 260
ISBN-13: 9783662212141
DOWNLOAD EBOOKAuthor: Keith J. Devlin
Publisher:
Published: 1973
Total Pages: 240
ISBN-13:
DOWNLOAD EBOOKAuthor: Derek J.S. Robinson
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2015-05-19
Total Pages: 348
ISBN-13: 3110340879
DOWNLOAD EBOOKThis 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, and should ease the transition to (post)graduate studies.
Author: William Jennings Wickless
Publisher: CRC Press
Published: 2019-09-27
Total Pages: 232
ISBN-13: 0824757181
DOWNLOAD EBOOKRealizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.
Author: Kanawha Valley Graduate Center
Publisher:
Published: 1968
Total Pages: 58
ISBN-13:
DOWNLOAD EBOOKAuthor: David R. Finston
Publisher: Springer
Published: 2014-08-29
Total Pages: 194
ISBN-13: 3319044982
DOWNLOAD EBOOKThis text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.
Author: Pierre Antoine Grillet
Publisher: Springer Science & Business Media
Published: 2007-07-21
Total Pages: 684
ISBN-13: 0387715681
DOWNLOAD EBOOKA completely reworked new edition of this superb textbook. This key work is geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level of detail is ideal for the intended readership. The text tries to promote the conceptual understanding of algebra as a whole, doing so with a masterful grasp of methodology. Despite the abstract subject matter, the author includes a careful selection of important examples, together with a detailed elaboration of the more sophisticated, abstract theories.
Author: Joseph A. Gallian
Publisher: CRC Press
Published: 2020-12-31
Total Pages: 549
ISBN-13: 1000337359
DOWNLOAD EBOOKContemporary Abstract Algebra, Tenth Edition For more than three decades, this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive, lively, and engaging. The author presents the concepts and methodologies of contemporary abstract algebra as used by working mathematicians, computer scientists, physicists, and chemists. Students will learn how to do computations and to write proofs. A unique feature of the book are exercises that build the skill of generalizing, a skill that students should develop but rarely do. Applications are included to illustrate the utility of the abstract concepts. Examples and exercises are the heart of the book. Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The exercises often foreshadow definitions, concepts, and theorems to come. Changes for the tenth edition include new exercises, new examples, new quotes, and a freshening of the discussion portions. The hallmark features of previous editions of the book are enhanced in this edition. These include: • A good mixture of approximately 1900 computational and theoretical exercises, including computer exercises, that synthesize concepts from multiple chapters • Approximately 300 worked-out examples from routine computations to the challenging • Many applications from scientific and computing fields and everyday life • Historical notes and biographies that spotlight people and events • Motivational and humorous quotations • Numerous connections to number theory and geometry While many partial solutions and sketches for the odd-numbered exercises appear in the book, an Instructor’s Solutions Manual written by the author has comprehensive solutions for all exercises and some alternative solutions to develop a critical thought and deeper understanding. It is available from CRC Press only. The Student Solution Manual has comprehensive solutions for all odd-numbered exercises and many even-numbered exercises. Author Joseph A. Gallian earned his PhD from Notre Dame. In addition to receiving numerous national awards for his teaching and exposition, he has served terms as the Second Vice President, and the President of the MAA. He has served on 40 national committees, chairing ten of them. He has published over 100 articles and authored six books. Numerous articles about his work have appeared in the national news outlets, including the New York Times, the Washington Post, the Boston Globe, and Newsweek, among many others.
Author: Charles S. Chihara
Publisher: Clarendon Press
Published: 1990-04-12
Total Pages: 298
ISBN-13: 0191520004
DOWNLOAD EBOOKThis book is concerned with `the problem of existence in mathematics'. It develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. It explores the philosophical implications of such an approach in an examination of the writings of Field, Burgess, Maddy, Kitcher, and others.