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"No serious mathematician can afford to neglect these volumes. To read them is an experience..."-- L. S. Goddard, "Nature"
Reseña del editor
"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
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The MIT Press, 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: 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, 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. 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
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The MIT Press, 1974
ISBN 10: 0262020491
ISBN 13: 9780262020497
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Fundamentals of Mathematics, Vol. 3: Analysis
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The MIT Press, 1974
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ISBN 13: 9780262020497
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Fundamentals of Mathematics Vol. 3 : Analysis
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ISBN 13: 9780262020497
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Fundamentals of Mathematics, Vol. 3: Analysis
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The MIT Press, 1974
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ISBN 13: 9780262020497
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Fundamentals of Mathematics, Vol. 3: Analysis
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Fundamentals of Mathematics, Vol. 3 Analysis
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Hardcover. Condición: Good+. Estado de la sobrecubierta: No Dust Jacket. Translation; Fourth Printing. 152 X 38 X 229 millimeters; 541 pages; moderate foxing on the top exterior edge of textblock only. Very minor shelf rubbing on the covers. Very Good condition otherwise. No other noteworthy defects. No markings. ; - Your satisfaction is our priority. We offer free returns and respond promptly to all inquiries. Your item will be carefully cushioned in bubble wrap and securely boxed. All orders ship on the same or next business day. Buy with confidence. Nº de ref. del artículo: TOB223-58458-A-2.35
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Fundamentals of Mathematics, Volume III: Analysis
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The MIT Press, Cambridge, MA, 1974
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Hardcover. Condición: Good. Estado de la sobrecubierta: No Dust Jacket. 541 pp. Tightly bound. Corners not bumped. Text is free of markings. No ownership markings. This copy is the 1986 third printing edition. No dust jacket. Bound in blue cloth with silver type face on the front board and spine. There is some light foxing to the top page edges. This copy is smyth sewn. Smyth sewing is a method of bookbinding where groups of folded pages (referred to as signatures) are stitched together using binder thread. Each folded signature is sewn together individually with multiple stitches and then joined with other signatures to create the complete book block. This is the traditional and best method of bookbinding. Nº de ref. del artículo: 030324
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