What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired?
Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field.
Principles of Mathematical Analysis by Walter Rudin
This
book is intended to serve as a text for the course in analysis that is usually taken
by advanced undergraduates or by first-year students who study mathematics.
Beyond Reason: Eight Great Problems That Reveal the Limits of Science
A mind-bending excursion to the limits of science and mathematics
Are some scientific problems insoluble? In Beyond Reason,
internationally acclaimed math and science author A. K. Dewdney answers
this question by examining eight insurmountable mathematical and
scientific roadblocks that have stumped thinkers across the centuries,
from ancient mathematical conundrums such as "squaring the circle,"
first attempted by the Pythagoreans, to Godel's vexing theorem, from
perpetual motion to the upredictable behavior of chaotic systems such
as the weather.
CRC Concise Encyclopedia of Mathematics
The format of this work is somewhere between a handbook, a dictionary, and an encyclopedia.
It is written in an informal style intended to make it accessible to a broad spectrum of readers with a wide range of mathematical backgrounds and interests.The selection of topics in this work is more extensive than in most mathematical dictionaries (e.g., Borowski and Borwein’s Harper-Collins Dictionary of Mathematics and Jeans and Jeans’ Muthematics Dictionary).
Beyond Reason: Eight Great Problems That Reveal the Limits of Science
