 Bridges to Infinity: The Human Side of MathematicsMost of the reasons that I have written this book can be explained in terms of what reportedly happened one day in the eighteenth century when the great German mathematician Leonhard Euler confronted the eminent French scholar and atheist Denis Diderot with a spurious mathematical proof for the existence of God. Euler, it seems, accepted an... |  |  What is Mathematical Logic?This lively introduction to mathematical logic, easily accessible to non-mathematicians, offers an historical survey, coverage of predicate calculus, model theory, Godel’s theorems, computability and recursivefunctions, consistency and independence in axiomatic set theory, and much more. Suggestions for Further Reading. Diagrams.
... |  |  The Shape of Space (Pure and Applied Mathematics)Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging... |