## The Random Walks of George PolyaGeorge Pólya was one of the giants of classical analysis in the 20th century, and the influence of his work can be seen far beyond analysis, into number theory, geometry, probability and combinatorics. This book serves both as a biography of Pólya's life, and a review of his many mathematical achievements by experts from a wide range of different fields. Last but not least the book finishes with two essays by Pólya himself which focus on how to learn to solve problems, a subject with which he was fascinated throughout his life. |

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I've been influenced by Sir. Polya's 'how to solve it'.And now,after glimpsing on some pages of this book that emphasizes on Sit. Polya's life in detail,I know that every giant is ordinary in dairy life but outstanding in brain.

### Contents

Polyas Education | 15 |

Zurich | 35 |

Collaboration with Szego | 53 |

The United StatesThe First Visit | 81 |

Stanford | 101 |

The Later Years | 137 |

Polyas Work in Probability | 193 |

Comments on Number Theory | 213 |

Polyas InfluenceReferences to His Work | 237 |

Prizes Awards and Lectureships Honoring George Polya | 245 |

On Picture Writing by George Polya | 249 |

Generalization Specialization Analogy by George Polya | 263 |

Heuristic Reasoning in the Theory of Numbers by George Polya | 267 |

Probabilities in Proofreading by George Polya | 277 |

Cast of CharactersA Glossary of Names | 279 |

PhotographsAcknowledgements | 295 |

### Common terms and phrases

Academy Adolf Hurwitz Alexanderson algebraic Amer analysis Applied Mathematics Aufgaben und Lehrsatze Berlin Bieberbach born Budapest C. R. Acad Cambridge coefficients Collected Papers College combinatorics compute conjecture D. H. Lehmer Ecole Edmund Landau Eidgenossische Technische Hochschule ematics enumeration equations Erdos Euler example faculty Fejer figurate series Funktionen G. H. Hardy geometry George Polya Gottingen graph Hadamard Hermann Weyl heuristics Hilbert Hungarian Hungary Hurwitz I. J. Schoenberg ideas inequalities Institute integral function interest isoperimetric isoperimetric inequalities J. E. Littlewood later letter Littlewood Mathematical Association Mathematical Education Mathematical Society mathematicians method Monthly number theory Paris Ph.D points Polya's theorem polynomials power series prime number Princeton probability problem solving Proc professor proof proved random walk Riemann hypothesis Schiffer Schoenberg Sciences solution Stanford University Stella Polya student studied Susi Polya Lanyi symmetry taught teachers teaching tion Uber University of Budapest volume Weyl wrote zeros