Leseprobe
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Mathematics and Plausible Reasoning, Volume 1
G. Polya
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Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
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.
Kundenbewertungen
Parity (mathematics), Cauchy's theorem (geometry), Special case, Analytic geometry, Quantity, Mathematical physics, Goldbach's conjecture, Rectangle, Solid geometry, Tetrahedron, Theorem, Euclidean geometry, Number theory, Ball (mathematics), Plausible reasoning, Variable (mathematics), Explicit formulae (L-function), Degeneracy (mathematics), Projection (linear algebra), Inductive reasoning, Rational number, Pythagorean theorem, Mathematical sciences, Mathematician, Series (mathematics), Axiom, Conjecture, Intersection (set theory), Numbering (computability theory), Limit (mathematics), Mathematical beauty, Equation, Mathematical proof, Geometric mean, Mathematical induction, Natural number, Traditional mathematics, Computation, Maxima and minima, Similarity (geometry), Commutative property, Right triangle, Simultaneous equations, Mathematical problem, E6 (mathematics), Euler's theorem, Summation, Numerical analysis, Analogy, Isoperimetric inequality, Mathematical fallacy, Harmonic series (mathematics), Polyhedron, Scientific notation, Integer, Sign (mathematics), Isoperimetric problem, Prime number, Proportionality (mathematics), Regular polygon, Geometry, Pure mathematics, Result, Euler's formula, A Course of Pure Mathematics, Applied mathematics, Mathematics, Elementary proof, Calculus of variations, Physical mathematics