Mathematics and Plausible Reasoning, Volume 1
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A Course of Pure Mathematics
A01=George Polya
Analogy
Analytic geometry
Applied mathematics
Author_George Polya
Axiom
Ball (mathematics)
Calculus of variations
Category=PBB
Cauchy's theorem (geometry)
Commutative property
Computation
Conjecture
Degeneracy (mathematics)
E6 (mathematics)
Elementary proof
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Euclidean geometry
Euler's formula
Euler's theorem
Explicit formulae (L-function)
Geometric mean
Geometry
Goldbach's conjecture
Harmonic series (mathematics)
Inductive reasoning
Integer
Intersection (set theory)
Isoperimetric inequality
Isoperimetric problem
Limit (mathematics)
Mathematical beauty
Mathematical fallacy
Mathematical induction
Mathematical physics
Mathematical problem
Mathematical proof
Mathematical sciences
Mathematician
Mathematics
Maxima and minima
Natural number
Number theory
Numbering (computability theory)
Numerical analysis
Parity (mathematics)
Physical mathematics
Plausible reasoning
Polyhedron
Prime number
Projection (linear algebra)
Proportionality (mathematics)
Pure mathematics
Pythagorean theorem
Quantity
Rational number
Rectangle
Regular polygon
Result
Right triangle
Scientific notation
Series (mathematics)
Sign (mathematics)
Similarity (geometry)
Simultaneous equations
Solid geometry
Special case
Summation
Tetrahedron
Theorem
Traditional mathematics
Variable (mathematics)
Product details
- ISBN 9780691025094
- Weight: 425g
- Dimensions: 152 x 235mm
- Publication Date: 23 Aug 1990
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. I, on Induction and Analogy in Mathematics, covers a wide variety of mathematical problems, revealing the trains of thought that lead to solutions, pointing out false bypaths, discussing techniques of searching for proofs. Problems and examples challenge curiosity, judgment, and power of invention.
G. Polya (1887-1985) was Professor of Mathematics at Stanford University.
