"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 ...
"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."
First edition. Very good in very good dustwrapper. Vol. 3 only. Bottom edge of cover slightly rubbed. Dustwrapper shelf rubbed. Top edge of dustwrapper have minor tears. Small tear in middle of dustwrapper near spine. Foxing on dustwrapper spine. Please Note: This book has been transferred to Between the Covers from another database and might not be described to our usual standards. Please inquire for more detailed condition information.
Near Fine. No Jacket. 8vo-over 7¾"-10" Tall. A near fine copy with no markings. Volume only of a three volume set. This is the first volume of the set. I don't have the other two volumes. Appears to be high level math in spite of its title.
VERY GOOD PLUS. Large brown paperback, volume 1, 549 pages. Slight cover wear. Sound binding. No marks. Corner of title page clipped as if to remove prior owner's name. Nice condition. **We provide professional service and individual attention to your order, daily shipments, and sturdy packaging. FREE TRACKING ON ALL SHIPMENTS WITHIN USA.
with drawings. Fine. Multi colored set with silver lettering and decoration. Owner's stamp is on the front paste downs and page extremities. Also his small, circular stamp on the title page. The books are fine, as new. The texts and illustrations are flawless. 1. Fundamentals of Mathematics, the real number system and algebra, 2. Geometry, 3. Analysis.
Very Good with no dust jacket. Three volume set. Bit of very light rubbing to spine extremities and corners. A bit of very light soiling to binding. Else bindings and pages are clean.; 549, 685, 541 pages.
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