Gently used. Expect delivery in 20 days. Codice inventario libreria
Riassunto: 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."
Language Notes: Text: English, German (translation)
Titolo: Fundamentals of Mathematics, Vol. 1: ...
Casa editrice: The MIT Press
Data di pubblicazione: 1974
Condizione libro: very good
Descrizione libro The MIT Press, 1974. Condizione libro: Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. Codice libro della libreria GRP28666957
Descrizione libro The MIT Press. Hardcover. Condizione libro: VERY GOOD. little to no wear, pages are clean. The cover and binding are crisp with next no creases. Codice libro della libreria 2782566570
Descrizione libro MIT Press. Hardcover. Condizione libro: Fair. Dust Cover Missing. Codice libro della libreria G0262020483I5N01
Descrizione libro MIT Press. Hardcover. Condizione libro: Very Good. Very good condition - book only shows a small amount of wear. Codice libro della libreria G0262020483I4N00
Descrizione libro The MIT Press. Condizione libro: Good. . Good dust jacket. Volume 1. Codice libro della libreria S00U-00139
Descrizione libro The MIT Press. Condizione libro: Good. . Volume 1. Codice libro della libreria T07F-00453
Descrizione libro The MIT Press. Condizione libro: Good. Former Library book. A sound copy with only light wear. Overall a solid copy at a great price! All orders guaranteed and ship within 24 hours. Before placing your order for please contact us for confirmation on the book's binding. Check out our other listings to add to your order for discounted shipping. Codice libro della libreria WAL-H-1b-000423
Descrizione libro The MIT Press. Hardcover. Condizione libro: Very Good. 0262020483 May have publisher overstock mark on spine or light creases. No writing or discoloring marks. Please view our store policies for all shipping and condition grades, thank you. Codice libro della libreria 057012
Descrizione libro The MIT Press. Condizione libro: Very Good. . Good dust jacket. Volume 1. Codice libro della libreria P02A-00451
Descrizione libro MIT Press, Cambridge, Mass., 1974. Hardback. Condizione libro: Very Good. x + 549 pp. Ex-library. book. Codice libro della libreria 10402