This perennial best seller was written by an eminent mathematician, but it is a book for the general reader on how to think straight in any field. In lucid and appealing prose, it shows how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" outfrom building a bridge ...
Here the author of "How to Solve It" explains how to become a "good guesser." Marked by G. Polya's simple, energetic prose and use of clever examples from a wide range of human activities, this two-volume work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive ...
Here the author of How to Solve It explains how to become a "good guesser." Marked by G. Polya's simple, energetic prose and use of clever examples from a wide range of human activities, this two-volume work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive ...
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 ...
a --E Mathematics, taught and learned appropriately, improves the mind and implants good habits of thought.a -- This tenet underlies all of Professor Polyaa -- s works on teaching and problem-solving. This book captures some of Polyaa -- s excitement and vision. In it he provides enlightenment for all those who have ever wondered how the laws ...
From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems. These volumes contain many ...
This title presents a demonstration of how the true mathematician learns to draw unexpected analogies, tackle problems from unusual angles and extract a little more information from the data. It is a collection of truly practical lessons.
"...In the past, more of the leading mathematicians proposed and solved problems than today, and there were problem departments in many journals. Polya and Szego must have combed all of the large problem literature from about 1850 to 1925 for their material, and their collection of the best in analysis is a heritage of lasting value. The work is ...
For many years the mathematicians visiting Stanford enjoyed guided tours through pages of the Polya photograph album, led by Polya himself. This is a selection of the photographs accompanied by remarks taken from tapes of Polya's conversations with his visitors.
These two volumes complete the publication of the collected papers of George Polya, one of the most influential mathematicians and teachers of our time.
"Solving problems," writes Polya, "is a practical art, like swimming, or skiing, or playing the piano: You can learn it only by imitation and practice. This book cannot offer you a magic key that opens all the doors and solves all the problems, but it offers you good examples for imitation and many opportunities for practice: If you wish to learn ...
This is a guide to the practical art of plausible reasoning, particularly in mathematics but also in every field of human activity. Using mathematics as the example par excellence, Professor Polya shows how even that most rigorous deductive discipline is heavily dependent on techniques of guessing, inductive reasoning, and reasoning by analogy. In ...
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