A New Course in Algebra
Author | : Andrew Walker |
Publisher | : |
Total Pages | : 559 |
Release | : 1959 |
Genre | : |
ISBN | : |
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Author | : Andrew Walker |
Publisher | : |
Total Pages | : 559 |
Release | : 1959 |
Genre | : |
ISBN | : |
Author | : Ėrnest Borisovich Vinberg |
Publisher | : American Mathematical Soc. |
Total Pages | : 526 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821833189 |
Great book! The author's teaching experinece shows in every chapter. --Efim Zelmanov, University of California, San Diego Vinberg has written an algebra book that is excellent, both as a classroom text or for self-study. It is plain that years of teaching abstract algebra have enabled him to say the right thing at the right time. --Irving Kaplansky, MSRI This is a comprehensive text on modern algebra written for advanced undergraduate and basic graduate algebra classes. The book is based on courses taught by the author at the Mechanics and Mathematics Department of Moscow State University and at the Mathematical College of the Independent University of Moscow. The unique feature of the book is that it contains almost no technically difficult proofs. Following his point of view on mathematics, the author tried, whenever possible, to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. Another important feature is that the book presents most of the topics on several levels, allowing the student to move smoothly from initial acquaintance to thorough study and deeper understanding of the subject. Presented are basic topics in algebra such as algebraic structures, linear algebra, polynomials, groups, as well as more advanced topics like affine and projective spaces, tensor algebra, Galois theory, Lie groups, associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. Written with extreme care and supplied with more than 200 exercises and 70 figures, the book is also an excellent text for independent study.
Author | : David B. Damiano |
Publisher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2011-01-01 |
Genre | : Mathematics |
ISBN | : 0486469085 |
"Suitable for advanced undergraduates and graduate students, this text introduces basic concepts of linear algebra. Each chapter contains an introduction, definitions, and propositions, in addition to multiple examples, lemmas, theorems, corollaries, andproofs. Each chapter features numerous supplemental exercises, and solutions to selected problems appear at the end. 1988 edition"--
Author | : Andrew Walker |
Publisher | : Orient Blackswan |
Total Pages | : 508 |
Release | : 1969 |
Genre | : |
ISBN | : |
Author | : Ray Mines |
Publisher | : Springer Science & Business Media |
Total Pages | : 355 |
Release | : 2012-09-10 |
Genre | : Mathematics |
ISBN | : 1441986405 |
The constructive approach to mathematics has enjoyed a renaissance, caused in large part by the appearance of Errett Bishop's book Foundations of constr"uctiue analysis in 1967, and by the subtle influences of the proliferation of powerful computers. Bishop demonstrated that pure mathematics can be developed from a constructive point of view while maintaining a continuity with classical terminology and spirit; much more of classical mathematics was preserved than had been thought possible, and no classically false theorems resulted, as had been the case in other constructive schools such as intuitionism and Russian constructivism. The computers created a widespread awareness of the intuitive notion of an effecti ve procedure, and of computation in principle, in addi tion to stimulating the study of constructive algebra for actual implementation, and from the point of view of recursive function theory. In analysis, constructive problems arise instantly because we must start with the real numbers, and there is no finite procedure for deciding whether two given real numbers are equal or not (the real numbers are not discrete) . The main thrust of constructive mathematics was in the direction of analysis, although several mathematicians, including Kronecker and van der waerden, made important contributions to construc tive algebra. Heyting, working in intuitionistic algebra, concentrated on issues raised by considering algebraic structures over the real numbers, and so developed a handmaiden'of analysis rather than a theory of discrete algebraic structures.
Author | : Christopher James Phillips |
Publisher | : University of Chicago Press |
Total Pages | : 242 |
Release | : 2015 |
Genre | : Education |
ISBN | : 022618496X |
An era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. This book examines the rise and fall of the new math as a marker of the period's political and social ferment.
Author | : Kenneth Kuttler |
Publisher | : |
Total Pages | : 586 |
Release | : 2020 |
Genre | : Algebras, Linear |
ISBN | : |
"A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. All major topics of linear algebra are available in detail, as well as justifications of important results. In addition, connections to topics covered in advanced courses are introduced. The textbook is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the textbook."--BCcampus website.
Author | : |
Publisher | : |
Total Pages | : 432 |
Release | : 1907 |
Genre | : Algebra |
ISBN | : |
Author | : David A. Adler |
Publisher | : Holiday House |
Total Pages | : 32 |
Release | : 2012-05-14 |
Genre | : Juvenile Nonfiction |
ISBN | : 0823427021 |
Boo! There is a mystery behind every door of the creepy haunted house. Luckily, algebra will help you solve each problem. By using simple addition, subtraction, mulitplication, and division, you'll discover that solving math mysteries isn't scary at all -- it's fun!