Автор: Jacobson Nathan Название: Basic Algebra I: Second Edition ISBN: 0486471896 ISBN-13(EAN): 9780486471891 Издательство: Dover Рейтинг: Цена: 3723.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Volume I of a pair of classic texts -- and standard references for a generation -- this book is the work of an expert algebraist who taught at Yale for two decades. Volume I covers all undergraduate topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.
Автор: Jacobson Nathan Название: Basic Algebra II: Second Edition ISBN: 048647187X ISBN-13(EAN): 9780486471877 Издательство: Dover Рейтинг: Цена: 4964.00 р. Наличие на складе: Нет в наличии.
Описание: A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for more than three decades. Nathan Jacobson's books possess a conceptual and theoretical orientation; in addition to their value as classroom texts, they serve as valuable references. Volume II comprises all of the subjects usually covered in a first-year graduate course in algebra. Topics include categories, universal algebra, modules, basic structure theory of rings, classical representation theory of finite groups, elements of homological algebra with applications, commutative ideal theory, and formally real fields. In addition to the immediate introduction and constant use of categories and functors, it revisits many topics from Volume I with greater depth and sophistication. Exercises appear throughout the text, along with insightful, carefully explained proofs.
Автор: Whitesitt J. Eldon Название: Boolean Algebra and Its Applications ISBN: 0486477673 ISBN-13(EAN): 9780486477671 Издательство: Dover Рейтинг: Цена: 1607.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction toBoolean algebra explores the subject on a level accessible even to those with a modest background in mathematics. The first chapter presents the algebra of sets from an intuitive point of view, followed by a formal presentation in chapter two of Boolean algebra as an abstract algebraic system, with no reference to applications. Succeeding chapters offer concise accounts of applications to symbolic logic, focusing on topics of logic common to elementary mathematics and discussing concepts of valid argument and indirect proofs. Additional topics include the algebra of circuits switching, relay, and computer as well as the application of the algebra of sets to probability theory. Problems appear throughout the text, with answers to selected problems at the end of the book. Geared toward students of mathematics, computer science, and electrical engineering, this text can be appreciated by anyone who understands college-level mathematics. It will prove particularly valuable to philosophy students and others wishing to study symbolic logic and its applications to computer science."
Описание: Definitive list of works by "father of the modern poster" provides scholars, collectors, lovers of fine art with scrupulously researched entries and over 300 meticulously reproduced black-and-white illustrations of rare works. Descriptions provide (where known) dimensions, date, printer, colors, siz
Автор: Clark, Allan Название: Elements of Abstract Algebra ISBN: 0486647250 ISBN-13(EAN): 9780486647258 Издательство: Dover Рейтинг: Цена: 1607.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. An antidote to the usual surveys of structure, the book presents group theory, Galois theory, and classical ideal theory in a framework emphasizing proof of important theorems. Chapter I (Set Theory) covers the basics of sets. Chapter II (Group Theory) is a rigorous introduction to groups. It contains all the results needed for Galois theory as well as the Sylow theorems, the Jordan-Holder theorem, and a complete treatment of the simplicity of alternating groups. Chapter III (Field Theory) reviews linear algebra and introduces fields as a prelude to Galois theory. In addition there is a full discussion of the constructibility of regular polygons. Chapter IV (Galois Theory) gives a thorough treatment of this classical topic, including a detailed presentation of the solvability of equations in radicals that actually includes solutions of equations of degree 3 and 4 ― a feature omitted from all texts of the last 40 years. Chapter V (Ring Theory) contains basic information about rings and unique factorization to set the stage for classical ideal theory. Chapter VI (Classical Ideal Theory) ends with an elementary proof of the Fundamental Theorem of Algebraic Number Theory for the special case of Galois extensions of the rational field, a result which brings together all the major themes of the book. The writing is clear and careful throughout, and includes many historical notes. Mathematical proof is emphasized. The text comprises 198 articles ranging in length from a paragraph to a page or two, pitched at a level that encourages careful reading. Most articles are accompanied by exercises, varying in level from the simple to the difficult.
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