George Pólya

George Pólya is professor emeritus at Stanford University.

  • George Pólya: Collected Papers, Volume 3

    Analysis

    George Pólya and Gian-Carlo Rota

    These two volumes complete the publication of the collected papers of George Pólya, one of the most influential mathematicians and teachers of our time.

    Norbert Wiener's scientific contributions not only spanned numerous branches of mathematics but also mathematical philosophy, quantum mechanics and relativity theory, and the field he christened "cybernetics" - a synthesis of communication and control engineering, the physiology of the heart and the nervous system, brain wave encephalography, and sensory prosthesis. His scholarly work also included incisive social, education, and literary essays. The object of these volumes of Collected Works is not only to reprint all of Wiener's scientific and scholarly papers but also to place them in the context of present-day research by means of commentaries written by contemporary authorities that trace both their genesis and their influence on subsequent work.

    Commentaries on the papers in Volume III were written by E. J. Akutowicz, D. Bohm, G. Freud, Sir Dennis Gabor, A. E. Heins, T. Hida, E. Hille, T. Kailath, G. Kallianpur, M. Kanter, P. Masani, L. T. McAuley, P. S. Muhly, E. Nelson, J. Pincus, E. E. Robinson, H. Salehi, A Siegel, A. H. Taub, and M. S. Vallarta. Volume I, published in 1976, included Wiener's contributions to mathematical philosophy and foundations, potential theory, Brownian movement, Wiener integrals, ergodic and chaos theories, and turbulence and statistical mechanics. Volume II collected his work on generalized harmonic analysis and Tauberian theory and on classical, harmonic, and complex analysis. A projected fourth and final volume will bring together Wiener's papers on cybernetics as well as essays and articles on nonscientific subjects.

    This book is twentieth in the series Mathematicians of Our Time.

    • Hardcover $65.00
  • George Pólya: Collected Papers, Volume 4

    Probability; Combinatorics; Teaching and Learning in Mathematics

    George Pólya and Gian-Carlo Rota

    The collected papers of George Pólya, one of the most influential mathematicians and teachers of our time.

    These two volumes complete 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 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.

    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 mathematics—how to formulate a problem and then create a solution.

    These volumes are the twenty-second and twenty-third in the series Mathematicians of Our Time, edited by Gian-Carlo Rota.

    • Hardcover $75.00
  • George Pólya: Collected Papers, Volume 1

    George Pólya: Collected Papers, Volume 1

    Singularities of Analytic Functions

    George Pólya and R. P. Boas

    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.

    • Hardcover $82.00
    • Paperback $90.00
  • George Pólya: Collected Papers, Volume 2

    George Pólya: Collected Papers, Volume 2

    Location of Zeros

    George Pólya and R. P. Boas

    Papers on the location and behavior of zeros, including some of Polya's most influential work.

    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.

    • Hardcover $60.00
    • Paperback $55.00