Catalog Search Results
Publisher
Kanopy Streaming
Pub. Date
2014.
Physical Desc
1 online resource (1 video file, approximately 60 min.) : digital, .flv file, sound
Language
English
Description
American art came of age with the first important modern movement by a group of New York painters who became known as abstract expressionists. In the 1940s and 50s their aggressive action painting challenged the School of Paris. Tenaciously American (though several were born abroad), these painters were not content to imitate European masters and styles. They were struggling to express their own transcendental values that emphasized freedom, impulse,...
Author
Series
Language
English
Description
Brief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of traditional algebra and the abstract territory of modern algebra. The only prerequisite is high school–level algebra. Author W. W. Sawyer begins with a very basic viewpoint of abstract algebra, using simple arithmetic and elementary algebra. He then proceeds to arithmetic and polynomials, slowly progressing to more complex matters: finite...
Author
Language
English
Description
As the title promises, this helpful volume offers easy access to the abstract principles common to science and mathematics. It eschews technical terms and omits troublesome details in favor of straightforward explanations that will allow scientists to read papers in branches of science other than their own, mathematicians to appreciate papers on topics on which they have no specialized knowledge, and other readers to cultivate an improved understanding...
Author
Language
English
Description
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...
Author
Language
English
Description
Designed to make learning introductory algebraic geometry as easy as possible, this text is intended for advanced undergraduates and graduate students who have taken a one-year course in algebra and are familiar with complex analysis. This newly updated second edition enhances the original treatment's extensive use of concrete examples and exercises with numerous figures that have been specially redrawn in Adobe Illustrator. An introductory chapter...
Author
Series
Language
English
Description
One of the most authoritative and comprehensive books on the subject of continued fractions, this monograph has been widely used by generations of mathematicians and their students. Dr. Hubert Stanley Wall presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. Prerequisites include a first course in function theory and knowledge of the elementary properties of linear transformations...
Author
Language
English
Description
This excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. These systems, which consist of sets of elements, operations, and relations among the elements, and prescriptive axioms, are abstractions and generalizations of various models which evolved from efforts to explain or discuss physical phenomena. In Chapter 1, the author discusses...
Author
Series
Language
English
Description
Designed as a text as well as a treatise for active mathematicians, this volume begins with an unusual notice: "The book is addressed to those who know the meaning of each word in the title." As such, it constituted the first systematic account of the theory of rings of continuous functions, and it has retained its secure position as the basic graduate-level book in this area. The authors focus on characterizing the maximal ideals and classifying...
Author
Language
English
Description
Concise and authoritative, this monograph is geared toward advanced undergraduate and graduate students. The main theorems whose proofs are given here were first formulated by Lefschetz and have since turned out to be of fundamental importance in the topological aspects of algebraic geometry. The proofs are fairly elaborate and involve a considerable amount of detail; therefore, some appear in separate chapters that include geometrical descriptions...
Author
Series
Language
English
Description
In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting...
12) On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises
Author
Series
Language
English
Description
A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (1849–1925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his expository powers. The treatment...
Author
Series
Language
English
Description
Chevalley's most important contribution to mathematics is certainly his work on group theory. . . . [Theory of Lie Groups] was the first systematic exposition of the foundations of Lie group theory consistently adopting the global viewpoint, based on the notion of analytic manifold. This book remained the basic reference on Lie groups for at least two decades." - Bulletin of the American Mathematical Society Suitable for advanced undergraduate and...
Author
Series
Language
English
Description
Geared toward upper-level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while...
Author
Series
Language
English
Description
This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization...
Author
Language
English
Description
Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter, a Professor of Mathematics at the University of Michigan, also presents a general, extensive treatment of Cartan and related Lie subalgebras over arbitrary fields. Preliminary material covers modules and nonassociate algebras, followed by a compact, self-contained development of the theory of Lie algebras...
Author
Series
Language
English
Description
Intended for beginning graduate-level courses, this text introduces various aspects of the theory of abstract algebra. The book is also suitable as independent reading for interested students at that level as well as a primary source for a one-semester course that an instructor may supplement to expand to a full year. Author Richard S. Pierce, a Professor of Mathematics at Seattle's University of Washington, places considerable emphasis on applications...
Publisher
Kanopy Streaming
Pub. Date
2014.
Physical Desc
1 online resource (1 video file, approximately 60 min.) : digital, .flv file, sound
Language
English
Description
Rauschenberg's active involvement with life carries over into his painting. The combine-painting of the 1950s integrated two- and three-dimensional elements and inhabited both wall and floor space. These assemblages included discarded thrift shop-type objects such as automobile tires, stuffed birds, doors, and electric light fixtures, as well as the two-dimensional painterly surfaces reminiscent of abstract expressionism. This intense injection of...
Publisher
Kanopy Streaming
Pub. Date
2014.
Physical Desc
1 online resource (1 video file, approximately 28 min., 32 sec.) : digital, .flv file, sound
Language
English
Description
In the early 1960s Anthony Caro led a revolution in sculpture in Britain. His abstract steel constructions, often painted in bold colours, forged a new and internationally influential sculptural language. In the years since his fertile and diverse practice has consistently challenged and extended what sculpture is, and what it might be. At the age of 80, Anthony Caro remains intensely active, working each day in his studio and overseeing every detail...
Publisher
Kanopy Streaming
Pub. Date
2014.
Physical Desc
1 online resource (1 video file, approximately 27 min.) : digital, .flv file, sound
Language
English
Description
Gillian Ayres studied at Camberwell School of Art from 1946-50, before running the AIA Gallery with painter Henry Mundy whom she married. As a young artist in the 1950's, Ayres was closely involved with leading British abstract artists including Roger Hilton. Ayres was quick to respond to European tachism and American abstract expressionism, creating a body of work that placed her in the forefront of her generation. In the sixties she was the only...
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