Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these qu...(展开全部)

This major survey features the work of 18 outstanding mathematicians. Primary subjects include analytic geometry, algebra, ordinary and partial differential equations, the calculus of variations, functions of a complex variable, prime numbers, and theories of probability and functions. Other topics include linear and non-Euclidean geometry, topology, functional analysis, more. ...(展开全部)

This book provides a comprehensive introduction to the ways in which meaning is conveyed in language, covering not only semantic matters but also topics normally considered to fall under pragmatics. Above all, the book displays and explains the richness and subtlety of meaning, with the aid of numerous examples and exercises throughout the text. Highly readable, written with st...(展开全部)

Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals t...(展开全部)

This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17t...(展开全部)

Truth and Meaning is a classic collection of original essays on fundamental questions in the philosophy of language. It was first published in 1976, and has remained essential reading in this area ever since; this is its first appearance in paperback. The contributors include leading figures in late twentieth-century philosophy, such as Donald Davidson, Saul Kripke, P. F. Straw...(展开全部)