FUNDAMENTALS OF MATHEMATICS: 3 Volumes
Behnke, H., F. Bachmann, K. Fladt & W. Suss eds.
Language: English
Published by The MIT Press, Cambridge, MA, 1987
- Hardcover
- Used
Seller: Russ States, Oil City, PA, U.S.A.Russ States
AbeBooks seller since June 25, 2001
Condition: Used - Very good
£ 48.57
Quantity: 1 available
Add to basketItem description from seller
(1987), 549pp, 685pp, 541pp, ISBN for v. 1 only, rest hav different #'s), trans. by S. H. Gould, includes: V. 1. Foundations of Mathematics/The Real Number System & Algebra; V. 2. Geometry; & V. 3. Analysis, very light shelfwear to covers, small spot to pg edges of v. 1, no djs, contents clean & unmarked.
Seller Inventory # 23-1192
- Title
- FUNDAMENTALS OF MATHEMATICS: 3 Volumes
- Author
- Behnke, H., F. Bachmann, K. Fladt & W. Suss eds.
- Publisher
- The MIT Press, Cambridge, MA
- Publication year
- 1987
- Condition
- Very Good +
- Dust jacket
- No Jacket
- Binding
- Cloth
- Language
- English
- ISBN 10
- 0262020483
- ISBN 13
- 9780262020480
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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