Combining standard Volumes I and II into one soft cover edition, this helpful book explains how to solve mathematical problems in a clear, step-by-step progression. It shows how to think about a problem, how to look at special cases, and how to devise an effective strategy to attack and solve the problem. Covers arithemetic, algebra, geometry, and some elementary combinatorics. Includes an updated bibliography and newly expanded index.
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3 of 3 people found the following review helpful:
5.0 out of 5 stars
As good as "How to Solve it",
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This review is from: Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition (Paperback)
If you enjoy the golden classic "How to solve it", this is the right next step.
"Mathematical Discovery" gives more concrete picture and Polya shows the edge of the wisdom. We have many logical mathematician but he is exceptional because every single problem and explanation is based on the real classroom and even the little advice gives a big help to the real math class.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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nonsufficient reason, nth base, trapezoidal representation, prismoidal formula, nonmathematical problems, congruent tetrahedra, auxiliary figure, harmonic triangle, trihedral angle, solving object, desired triangle, required triangle, auxiliary problem, foregoing solution, proposed problem, right prism, upper base, given abscissas, first locus, given triangle, recursion formula, full condition Key Phrases - Capitalized Phrases (CAPs): (learn more)
San Francisco, Sir John, Euclid's Elements, American Mathematical Monthly, Bushels of Barley, Bushels of Oats, Bushels of Wheat, Mathematical Log New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
nonsufficient reason, nth base, trapezoidal representation, prismoidal formula, nonmathematical problems, congruent tetrahedra, auxiliary figure, harmonic triangle, trihedral angle, solving object, desired triangle, required triangle, auxiliary problem, foregoing solution, proposed problem, right prism, upper base, given abscissas, first locus, given triangle, recursion formula, full condition Key Phrases - Capitalized Phrases (CAPs): (learn more)
San Francisco, Sir John, Euclid's Elements, American Mathematical Monthly, Bushels of Barley, Bushels of Oats, Bushels of Wheat, Mathematical Log New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 5
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57
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- Rules for the Direction of the Mind by Rene Descartes on page 22, and Index
- Developments in Mathematical Education: Proceedings of the Second International Congress on Mathematical Education by A. G. Howson in Back Matter
- Le jardin d'Epicure, by Anatole, France on page 356
- The Age Of Reason by Thomas Paine on page 274
- Treatise on Electricity and Magnetism, Vol. 1 by James Clerk Maxwell on page 347
- Constructing Mathematical Know (Studies in Mathematics Education Series) by Paul Ernest on page 189, and page 200
- Mathematics by Experiment, 2nd Edition: Plausible Reasoning in the 21st Century by Jonathan Borwein in Front Matter, and Back Matter
- Structuralism and Structures (Series in Pure Mathematics) by Charles E. Rickart on page 122, and Back Matter
- The Mathematical Experience, Study Edition by Philip J. Davis on page 320, and Back Matter
- Essays in Humanistic Mathematics (M a a Notes) by Alvin M. White on page 121, and page 190
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