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What Is Mathematics? is a mathematics book written by Richard Courant and Herbert Robbins, published in England by Oxford University Press. It is an introduction to mathematics, intended both for the mathematics student and for the general public. First published in 1941, it discusses number theory, geometry, topology and calculus.
Kelley's 1955 text, General Topology, which eventually appeared in three editions and several translations, is a classic and widely cited graduate-level introduction to topology. An appendix sets out a new approach to axiomatic set theory , now called Morse–Kelley set theory , that builds on Von Neumann–Bernays–Gödel set theory .
It is to be regretted that this first comprehensive and thorough-going presentation of a mathematical logic and the derivation of mathematics from it [is] so greatly lacking in formal precision in the foundations (contained in 1– 21 of Principia [i.e., sections 1– 5 (propositional logic), 8–14 (predicate logic with identity/equality), 20 ...
Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS). The books in this series are published in hardcover and e-book formats.
The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and ...
Combinatorial Mathematics, by Herbert John Ryser - ISBN 0-88385-014-1; Noncommutative Rings, by I. N. Herstein - ISBN 0-88385-015-X - (out of print) Dedekind Sums, by Hans Rademacher and Emil Grosswald - ISBN 9780883850169 (out of print) The Schwarz Function and its Applications, by Philip J. Davis - ISBN 9780883850176
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According to the preface, the book is intended for those with only limited knowledge of mathematics and no prior experience with the mathematical logic it deals with. [1] Accordingly, it is often used in introductory philosophy of mathematics courses at institutions of higher education. [2] [3]