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› Find signed collectible books: 'Combinatorial Enumeration of Groups Graph'
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› Find signed collectible books: 'Complex Variables'
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› Find signed collectible books: 'George Pólya: Collected Papers, Volume 4: Probability; Combinatorics; Teaching and Learning in Mathematics (Mathematicians of Our Time)'
This volume completes the publication of the collected papers of George Pólya, one of the most influential mathematicians and teachers of our time. Volumes I (Singularities of Analytic Functions) and II (Location of Zeros) were published in 1974.
Volume IV presents 20 papers on probability, 17 on combinatorics, and 18 on the teaching and learning of mathematics. Pólya has made a number of fundamental contributions to the first two fields, including perhaps the first use of the term "central limit theorem," but his major influence on mathematics has clearly been his approach to pedagogy. Many of the papers throughout these volumes have a strongly pedagogical flavor, but the papers in the third section of this volume focus squarely on the real business of how to do mathematicshow to formulate a problem and then create a solution.
This volume is the twenty-third in the series Mathematicians of Our Time, edited by Gian-Carlo Rota.
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› Find signed collectible books: 'George PÃ³lya: Collected Papers: George Polya: Collected Papers Volume 2: Location of Zeros (Mathematicians of Our Time)'
The papers in this volume cluster about the following topics: the location of the zeros of polynomials and other analytic functions; the approximation of analytic functions by polynomials in which the location of zero is restricted (these papers represent some of Pólya's most influential work); the behavior of the zeros of successive derivatives; the zeros of functions defined by trigonometric integrals; and the signs of derivatives and their analytic character.
The volume also includes a paper that is not about zeros but contains a representation theorem for positive polynomials in several variables.
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› Find signed collectible books: 'George PÃ³lya: Collected Papers: George Pólya: Collected Papers, Volume 1: Singularities of Analytic Functions (Mathematicians of Our Time)'
The first volume of Pólya's papers deals with singular points of analytic functions and with other broadly related topics, such as conformal mappings, entire functions, and the rate of growth of analytic functions. The papers are arranged in chronological order, but the editor, in his introduction, shows that they fall into four main sets of topics.
The first is concerned with properties of a function (in particular, the location and nature of its singular points) as deduced from the properties of the coefficients in its power series.
A second set deals with a closely related problem: connections between global properties of a function and its values at an isolated set of points. Analytic functions, especially entire functions, are the subject of a third set of papers, and a final set of six investigates problems in conformal mapping.
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› Find signed collectible books: 'George Pólya: Collected Papers, Vol. 3: Analysis (Mathematicians of Our Time)'
This is the third volume of the collected papers of George Pólya, one of the most influential mathematicians and teachers of our time. Volumes I (Singularities of Analytic Functions) and II (Location of Zeros) were published in 1974.
Volume III contains 58 papers spanning Pólya's career (the earliest is from 1913, the latest from 1976) and covering a wide range of subjects in mathematical analysis and mathematical physics. The commentaries on these papers attest to the fertility and continued importance of Pólya's ideas in current mathematics.
This volume is the twenty-second in the series Mathematicians of Our Time, edited by Gian-Carlo Rota.
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› Find signed collectible books: 'George Pólya: Collected Papers, Volume 1: Singularities of Analytic Functions (Mathematicians of Our Time)'
The first volume of Polya's papers deals with singular points of analytic functions and with other broadly related topics, such as conformal mappings, entire functions, and the rate of growth of analytic functions. The papers are arranged in chronological order, but the editor, in his introduction, shows that they fall into four main sets of topics.The first is concerned with properties of a function (in particular, the location and nature of its singular points) as deduced from the properties of the coefficients in its power series.A second set deals with a closely related problem: connections between global properties of a function and its values at an isolated set of points. Analytic functions, especially entire functions, are the subject of a third set of papers, and a final set of six investigates problems in conformal mapping.
More editions of George Pólya: Collected Papers, Volume 1: Singularities of Analytic Functions (Mathematicians of Our Time):
› Find signed collectible books: 'George Pólya: Collected Papers, Volume 2: Location of Zeros (Mathematicians of Our Time)'
The papers in this volume cluster about the following topics: the location of the zeros of polynomials and other analytic functions; the approximation of analytic functions by polynomials in which the location of zero is restricted (these papers represent some of Polya's most influential work); the behavior of the zeros of successive derivatives; the zeros of functions defined by trigonometric integrals; and the signs of derivatives and their analytic character.The volume also includes a paper that is not about zeros but contains a representation theorem for positive polynomials in several variables.
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› Find signed collectible books: 'How to Solve It: A New Aspect of Mathematical Method'
"Solving problems", wrote 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 swimming you have to go into the water and if you wish to become a problem solver you have to solve problems."
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› Find signed collectible books: 'Induction and Analogy in Mathematics (Mathematics and Plausible Reasoning) (v. 1)'
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 disciplines. "Polya . . . does a masterful job of showing just how plausible reasoning is used in mathematics. . . . The material in both volumes is fresh and highly original; the presentation is stimulating, informal, and occasionally humorous; examples from science, legal reasoning, and daily life make the arguments clear even to a nonspecialist. Polya's book is a rare event. . . ." --Morris Kline, Scientific American "Professor Polya . . . is interested in problem solving and the psychological aspects of mathematical discovery. . . . [These books] should provide many entertaining hours for anyone who cares to pick up the challenge."-- Carl Hammer, Journal of the Franklin Institute
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› Find signed collectible books: 'Isoperimetric Inequalities in Mathematical Physics (Annals of Math Studies)'
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› Find signed collectible books: 'Mathematical Discovery Volume 1'
Book by Polya, George
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› Find signed collectible books: 'Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving, Volume I'
How to Solve It is not strictly speaking a math book. It is a book about how to solve problems of any kind, of which math is just one type of problem. The same techniques could in principle be used to solve any problem one encounters in life (such as how to choose the best wife??). Therefore, Polya wrote the current volume to explain how the techniques set forth in "How to Solve It" can be applied to specific areas such as geometry. The method of solving problems he provides and explains in his books was developed as a way to teach mathematics to students. The steps seem simple but yet are often not followed. For example, the first step to solving a problem is: Understand the problem. As he points out, this seems so obvious that it is often not even mentioned. Yet, would-be problem solvers often do not understand the problem fully. This step too can be broken down into smaller steps.
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› Find signed collectible books: 'Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition'
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 swimming you have to go into the water and if you wish to become a problem solver you have to solve problems. In enough cases to allay ... discouragement over not immediately discovering a solution, Professor Polya masterfully leads the reader down several unproductive paths. At the end of each chapter he provides examples for the render to solve. By means of these carefully selected and arranged problems, many of them directly related to others that precede, and guided by just the right suggestions at just the proper time, the reader's own ability is developed and extended. Solutions to the examples and, in many cases, outlines of procedures for discovering solutions. arc given at the back of the book. With striking promise for effectiveness, the entire book as a unit is one great experience in learning processes for problem solving through participation. The author has captured with great success the implication of his basic premise stated in the preface ... The Mathematics Teacher 218 pages.
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› Find signed collectible books: 'Mathematical Discovery, Volume II, On Understanding, Learning, and Teaching Problem Solving'
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› Find signed collectible books: 'Mathematics and Plausible Reasoning'
Book by Polya, George
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› Find signed collectible books: 'Mathematics and Plausible Reasoning: Vol. I: Induction and Analogy in Mathematics'
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 solving a problem, the answer must be guessed at before a proof can even begin, and guesses are usually made from a knowledge of facts, experience, and hunches. The truly creative mathematician must be a good guesser first and a good prover afterward; many important theorems have been guessed but not proved until much later. In the same way, solutions to problems can be guessed, and a good guesser is much more likely to find a correct solution. This work might have been called "How to Become a Good Guesser." Professor Polya's deep understanding of the psychology of creative mathematics enables him to show the reader how to attack a new problem, how to get at the heart of it, what trains of thought may lead to a solution. There is no magic formula here, but there is much practical wisdom. Volumes I and II together make a coherent work on Mathematics and Plausible Reasoning. Volume I on Induction and Analogy stands by itself as an essential book for anyone interested in mathematical reasoning. Volume II on Patterns of Plausible Inference builds on the examples of Volume I but is not otherwise dependent on it. A more sophisticated reader with some mathematical experience will have no difficulty in reading Volume II independently, though he will probably want to read Volume I afterward. Professor Polya's earlier more elementary book How to Solve It is closely related to Mathematics and Plausible Reasoning and furnishes some background for it.
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› Find signed collectible books: 'Mathematics and Plausible Reasoning: Vol. II: Patterns of Plausible Inference'
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 solving a problem, the answer must be guessed at before a proof can even begin, and guesses are usually made from a knowledge of facts, experience, and hunches. The truly creative mathematician must be a good guesser first and a good prover afterward; many important theorems have been guessed but not proved until much later. In the same way, solutions to problems can be guessed, and a good guesser is much more likely to find a correct solution. This work might have been called "How to Become a Good Guesser." Professor Polya's deep understanding of the psychology of creative mathematics enables him to show the reader how to attack a new problem, how to get at the heart of it, what trains of thought may lead to a solution. There is no magic formula here, but there is much practical wisdom. Volumes I and II together make a coherent work on Mathematics and Plausible Reasoning. Volume I on Induction and Analogy stands by itself as an essential book for anyone interested in mathematical reasoning. Volume II on Patterns o f Plausible Inference builds on the examples of Volume I but is not otherwise dependent on it. A more sophisticated reader with some mathematical experience will have no difficulty in reading Volume II independently, though he will probably want to read Volume I afterward. Professor Polya's earlier more elementary book How to Solve It was closely related to Mathematics and Plausible Reasoning and furnished some background for it.
More editions of Mathematics and Plausible Reasoning: Vol. II: Patterns of Plausible Inference:
› Find signed collectible books: 'Mathematics And Plausible Reasoning, V1-2: Induction And Analogy In Mathematics, Patterns Of Plausible Inference'
Book by Polya, George
More editions of Mathematics And Plausible Reasoning, V1-2: Induction And Analogy In Mathematics, Patterns Of Plausible Inference:
› Find signed collectible books: 'Notes on Introductory Combinatorics (Modern Birkhäuser Classics)'
"This is a delightful little paperback which presents a day-by-day transcription of a course taught jointly by Pólya and Tarjan at Stanford University...One can count on [Pólya and Tarjan] for new insights and a fresh outlook. Both instructors taught by presenting a succession of examples rather than by presenting a body of theory...[The book] is very well suited as supplementary material for any introductory class on combinatorics; as such, it is very highly recommended. Finally, for all of us who like the topic and delight in observing skilled professionals at work, this book is entertaining and, yes, instructive, reading."
Mathematical Reviews (Review of the original hardcover edition)
"The mathematical community welcomes this book as a final contribution to honour the teacher G. Pólya."
Zentralblatt MATH (Review of the original hardcover edition)
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› Find signed collectible books: 'Notes on Introductory Combinatorics (Progress in Computer Science)'
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› Find signed collectible books: 'Notes on Introductory Combinatorics (Progress in Computer Science and Applied Logic (PCS))'
Developed from the authors introductory combinatorics course, this book focuses on a branch of mathematics which plays a crucial role in computer science. Combinatorial methods provide many analytical tools used for determining the expected performance of computer algorithms. Elementary subjects such as combinations and permutations, and mathematical tools such as generating functions and Pólyas Theory of Counting, are covered, as are analyses of specific problems such as Ramsey Theory, matchings, and Hamiltonian and Eulerian paths.
This introduction will provide students with a solid foundation in the subject.
----
"This is a delightful little paperback which presents a day-by-day transcription of a course taught jointly by Pólya and Tarjan at Stanford University. Woods, the teaching assistant for the class, did a very good job of merging class notes into an interesting mini-textbook; he also included the exercises, homework, and tests assigned in the class (a very helpful addition for other instructors in the field). The notes are very well illustrated throughout and Woods and the Birkhäuser publishers produced a very pleasant text.
One can count on [Pólya and Tarjan] for new insights and a fresh outlook. Both instructors taught by presenting a succession of examples rather than by presenting a body of theory&[The book] is very well suited as supplementary material for any introductory class on combinatorics; as such, it is very highly recommended. Finally, for all of us who like the topic and delight in observing skilled professionals at work, this book is entertaining and, yes, instructive, reading."
Mathematical Reviews (Review of the original hardcover edition)
"The mathematical community welcomes this book as a final contribution to honour the teacher G. Pólya."
Zentralblatt MATH (Review of the original hardcover edition)
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› Find signed collectible books: 'The Polya Picture Album: Encounters of a Mathematician'
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› Find signed collectible books: 'Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions (Classics in Mathematics)'
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." Bulletin of the American Mathematical Society
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› Find signed collectible books: 'Problems and Theorems in Analysis I: Series. Integral Calculus. Theory of Functions. (Grundlehren der mathematischen Wissenschaften)'
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› Find signed collectible books: 'Problems and Theorems in Analysis II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry (Classics in Mathematics)'
Few mathematical books are worth translating 50 years after original publication. Polyá-Szegö is one! It was published in German in 1924, and its English edition was widely acclaimed when it appeared in 1972. In the past, more of the leading mathematicians proposed and solved problems than today. Their collection of the best in analysis is a heritage of lasting value.
More editions of Problems and Theorems in Analysis II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry (Classics in Mathematics):
› Find signed collectible books: 'Problems and Theorems in Analysis, Vol. 1: Series-Integral Calculus-Theory of Functions (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Bde. 193)'
Book by George Polya, G. Szego
More editions of Problems and Theorems in Analysis, Vol. 1: Series-Integral Calculus-Theory of Functions (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Bde. 193):
› Find signed collectible books: 'Problems and Theorems in Analysis. Volume II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry (Grundlehren der mathematischen Wissenschaften)'
From the reviews: "... In the past, more of the leading mathematicians proposed and solved problems than today, and there were problem departments in many journals. Pólya 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 unashamedly dated. With few exceptions, all of its material comes from before 1925. We can judge its vintage by a brief look at the author indices (combined). Let's start on the C's: Cantor, Carathéodory, Carleman, Carlson, Catalan, Cauchy, Cayley, Cesàro,... Or the L's: Lacour, Lagrange, Laguerre, Laisant, Lambert, Landau, Laplace, Lasker, Laurent, Lebesgue, Legendre,... Omission is also information: Carlitz, Erdös, Moser, etc."Bull.Americ.Math.Soc.
More editions of Problems and Theorems in Analysis. Volume II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry (Grundlehren der mathematischen Wissenschaften):
› Find signed collectible books: 'Stanford Maths Problems Book'
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› Find signed collectible books: 'Comment poser et résoudre un problème (French Edition)'
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› Find signed collectible books: 'Schule des Denkens. Sammlung Dalp'
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› Find signed collectible books: 'C¢mo plantear y resolver problemas / How to solve it (Spanish Edition)'
He aquí un pequeño tesoro para los maestros y estudiantes de matemáticas, para los aficionados y en general, para todo aquel que quiera saber cómo resolver problemas. Es sumamente interesante porque, además del aspecto nuevo que presenta de las matemáticas, su proceso de invención, como ciencia experimental e inductiva, proporcionando no la solución estereotipada de los problemas, sino los procedimientos originales de cómo se llegó a su solución, da los caminos para resolver problemas en cuanto tales y dispone los elementos del pensamiento de tal manera que instintivamente actúen cuando se presente un problema por resolver.
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