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Modern Algebra Essentials
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Book Synopsis Essentials of Modern Algebra by : Cheryl Chute Miller
Download or read book Essentials of Modern Algebra written by Cheryl Chute Miller and published by . This book was released on 2018-11-30 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition is intended for the undergraduate one or two semester course in modern algebra, also called abstract algebra. It follows that basic plan, using the axioms or rules to understand structures such as groups, rings, and fields, and giving the reader examples to help, but leaving many theorems and examples for them to try. The unique feature of the text is the list of "projects" at the end of each chapter that can be used in the classroom (with students solving them), alone, or in groups with the aid of an instructor. Because of their interactive nature, the projects are designed to understand concepts or to lead the student to new ideas they will encounter later. Features: * Features a logic-based presentation, with the structures of groups, rings, and fields presented in similar ways through objects, sub-objects, mappings between objects, and quotients of objects * Follows a fairly straight path without many of the side areas, such as modules, in order to introduce Galois Theory and solvability of polynomials * Provides numerous examples, additional exercises and the inclusion of "projects" in each chapter * Instructor's resources available upon adoption
Download or read book Modern Algebra written by Seth Warner and published by Courier Corporation. This book was released on 2012-08-29 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
Book Synopsis Modern Algebra Essentials by : Lufti A. Lutfiyya
Download or read book Modern Algebra Essentials written by Lufti A. Lutfiyya and published by Research & Education Assoc.. This book was released on 2013-01-01 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Modern Algebra includes set theory, operations, relations, basic properties of the integers, group theory, and ring theory.
Book Synopsis Advanced Modern Algebra by : Joseph J. Rotman
Download or read book Advanced Modern Algebra written by Joseph J. Rotman and published by American Mathematical Society. This book was released on 2023-02-22 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Modern Algebra and Matrix Theory by : Otto Schreier
Download or read book Introduction to Modern Algebra and Matrix Theory written by Otto Schreier and published by Courier Corporation. This book was released on 2011-01-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This unique text provides students with a basic course in both calculus and analytic geometry. It promotes an intuitive approach to calculus and emphasizes algebraic concepts. Minimal prerequisites. Numerous exercises. 1951 edition"--
Book Synopsis Elements of Modern Algebra, International Edition by : Linda Gilbert
Download or read book Elements of Modern Algebra, International Edition written by Linda Gilbert and published by Cengage Learning. This book was released on 2008-11-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: ELEMENTS OF MODERN ALGEBRA, 7e, INTERNATIONAL EDITION with its user-friendly format, provides you with the tools you need to get succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses.. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem solving skills.
Book Synopsis Modern Algebra and the Rise of Mathematical Structures by : Leo Corry
Download or read book Modern Algebra and the Rise of Mathematical Structures written by Leo Corry and published by Birkhäuser. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Book Synopsis Introductory Modern Algebra by : Saul Stahl
Download or read book Introductory Modern Algebra written by Saul Stahl and published by John Wiley & Sons. This book was released on 2013-09-30 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition "Stahl offers the solvability of equations from the historicalpoint of view...one of the best books available to support aone-semester introduction to abstract algebra." —CHOICE Introductory Modern Algebra: A Historical Approach, SecondEdition presents the evolution of algebra and provides readerswith the opportunity to view modern algebra as a consistentmovement from concrete problems to abstract principles. With a fewpertinent excerpts from the writings of some of the greatestmathematicians, the Second Edition uniquely facilitates theunderstanding of pivotal algebraic ideas. The author provides a clear, precise, and accessibleintroduction to modern algebra and also helps to develop a moreimmediate and well-grounded understanding of how equations lead topermutation groups and what those groups can inform us about suchdiverse items as multivariate functions and the 15-puzzle.Featuring new sections on topics such as group homomorphisms, theRSA algorithm, complex conjugation, the factorization of realpolynomials, and the fundamental theorem of algebra, the SecondEdition also includes: An in-depth explanation of the principles and practices ofmodern algebra in terms of the historical development from theRenaissance solution of the cubic equation to Dedekind'sideals Historical discussions integrated with the development ofmodern and abstract algebra in addition to many new explicitstatements of theorems, definitions, and terminology A new appendix on logic and proofs, sets, functions, andequivalence relations Over 1,000 new examples and multi-level exercises at the end ofeach section and chapter as well as updated chapter summaries Introductory Modern Algebra: A Historical Approach, SecondEdition is an excellent textbook for upper-undergraduatecourses in modern and abstract algebra.
Book Synopsis Visual Group Theory by : Nathan Carter
Download or read book Visual Group Theory written by Nathan Carter and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.
Book Synopsis A Survey of Modern Algebra ... by : Birkhoff
Download or read book A Survey of Modern Algebra ... written by Birkhoff and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book College Algebra written by Jay Abramson and published by . This book was released on 2018-01-07 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory
Book Synopsis Modern Higher Algebra by : Abraham Adrian Albert
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.
Book Synopsis Applied Modern Algebra by : Larry L. Dornhoff
Download or read book Applied Modern Algebra written by Larry L. Dornhoff and published by MacMillan Publishing Company. This book was released on 1978 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modern Algebra (Abstract Algebra) by :
Download or read book Modern Algebra (Abstract Algebra) written by and published by Krishna Prakashan Media. This book was released on with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis MODERN ALGEBRA WITH APPLICATIONS by : William J Gilbert
Download or read book MODERN ALGEBRA WITH APPLICATIONS written by William J Gilbert and published by John Wiley & Sons. This book was released on 2008-09 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market_Desc: Upper undergraduate and graduate level modern algebra courses Special Features: · Includes applications so students can see right away how to use the theory· This classic text has sold almost 12,000 units· Contains numerous examples· Includes chapters on Boolean Algebras, groups, quotient groups, symmetry groups in three dimensions, Polya-Burnside method of enumeration, monoids and machines, rings and fields, polynomial and Euclidean rings, quotient rings, field extensions, Latin squares, geometrical constructions, and error-correcting codes· Andwers to odd-numbered exercises so students can check their work About The Book: The book covers all the group, ring, and field theory that is usually contained in a standard modern algebra course; the exact sections containing this material are indicated in the Table of Contents. It stops short of the Sylow theorems and Galois theory. These topics could only be touched on in a first course, and the author feels that more time should be spent on them if they are to be appreciated.
Book Synopsis Abstract Algebra by : Claudia Menini
Download or read book Abstract Algebra written by Claudia Menini and published by CRC Press. This book was released on 2017-11-22 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.
Book Synopsis Concrete Approach to Abstract Algebra by : W. W. Sawyer
Download or read book Concrete Approach to Abstract Algebra written by W. W. Sawyer and published by Courier Dover Publications. This book was released on 2018-08-15 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.