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"No serious mathematician can afford to neglect these volumes. To read them is an experience..."-- L. S. Goddard, "Nature"
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"Fundamentals of Mathematics" represents a new kind of mathematical publication. While excellent technical treatises have been written about specialized fields, they provide little help for the nonspecialist; and other books, some of them semipopular in nature, give an overview of mathematics while omitting some necessary details. "Fundamentals of Mathematics" strikes a unique balance, presenting an irreproachable treatment of specialized fields and at the same time providing a very clear view of their interrelations, a feature of great value to students, instructors, and those who use mathematics in applied and scientific endeavors. Moreover, as noted in a review of the German edition in "Mathematical Reviews," the work is "designed to acquaint [the student] with modern viewpoints and developments. The articles are well illustrated and supplied with references to the literature, both current and 'classical.'"The outstanding pedagogical quality of this work was made possible only by the unique method by which it was written. There are, in general, two authors for each chapter: one a university researcher, the other a teacher of long experience in the German educational system. (In a few cases, more than two authors have collaborated.) And the whole book has been coordinated in repeated conferences, involving altogether about 150 authors and coordinators.Volume I opens with a section on mathematical foundations. It covers such topics as axiomatization, the concept of an algorithm, proofs, the theory of sets, the theory of relations, Boolean algebra, and antinomies. The closing section, on the real number system and algebra, takes up natural numbers, groups, linear algebra, polynomials, rings and ideals, the theory of numbers, algebraic extensions of a fields, complex numbers and quaternions, lattices, the theory of structure, and Zorn's lemma.Volume II begins with eight chapters on the foundations of geometry, followed by eight others on its analytic treatment. The latter include discussions of affine and Euclidean geometry, algebraic geometry, the Erlanger Program and higher geometry, group theory approaches, differential geometry, convex figures, and aspects of topology.Volume III, on analysis, covers convergence, functions, integral and measure, fundamental concepts of probability theory, alternating differential forms, complex numbers and variables, points at infinity, ordinary and partial differential equations, difference equations and definite integrals, functional analysis, real functions, and analytic number theory. An important concluding chapter examines "The Changing Structure of Modern Mathematics."
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Fundamentals of Mathematics, Vol. 3: Analysis
Publicado por
The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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hardcover. Condición: Good. Nº de ref. del artículo: 0262020491-3-33665341
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Fundamentals of Mathematics, Vol. 3: Analysis
Publicado por
The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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hardcover. Condición: Good. Nº de ref. del artículo: 0262020491-3-34387318
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Fundamentals of Mathematics, Vol. 3: Analysis
Publicado por
The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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Hardcover. Condición: Very Good. No Jacket. Missing dust jacket; May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 2.34. Nº de ref. del artículo: G0262020491I4N01
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Fundamentals of Mathematics, Vol. 3: Analysis
Publicado por
The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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Librería: ThriftBooks-Atlanta, AUSTELL, GA, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Very Good. No Jacket. Former library book; Missing dust jacket; May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 2.34. Nº de ref. del artículo: G0262020491I4N11
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Fundamentals of Mathematics, Vol. 3: Analysis
Publicado por
The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
Antiguo o usado
Tapa dura
Librería: ThriftBooks-Dallas, Dallas, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Very Good. No Jacket. Missing dust jacket; May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 2.34. Nº de ref. del artículo: G0262020491I4N01
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Fundamentals of Mathematics, Vol. 3: Analysis
Publicado por
The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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Librería: ThriftBooks-Dallas, Dallas, TX, Estados Unidos de America
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Hardcover. Condición: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 2.34. Nº de ref. del artículo: G0262020491I3N00
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Fundamentals of Mathematics, Vol. 3: Analysis
Publicado por
The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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Librería: ThriftBooks-Atlanta, AUSTELL, GA, Estados Unidos de America
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Hardcover. Condición: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 2.34. Nº de ref. del artículo: G0262020491I4N00
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Fundamentals of Mathematics, Vol. 3: Analysis
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The MIT Press (edition First Edition), 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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Fundamentals of Mathematics, Vol. 3: Analysis
Publicado por
The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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hardcover. Condición: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Nº de ref. del artículo: S_397714567
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Fundamentals of Mathematics, Vol. 3: Analysis
Publicado por
The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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Librería: HPB-Red, Dallas, TX, Estados Unidos de America
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hardcover. Condición: Acceptable. Connecting readers with great books since 1972. Used textbooks may not include companion materials such as access codes, etc. May have condition issues including wear and notes/highlighting. We ship orders daily and Customer Service is our top priority! Nº de ref. del artículo: S_426115490
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