Georg Polya's Books

Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

By: Georg Polya,R.C. Read

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Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

By: Georg Polya,R.C. Read

In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the "Hauptsatz" of Section 4 -- a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst

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155

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461246644

ISBN 13

9781461246640

Memoirs of a Revolutionist

By: Peter Kropotkin,Georg Brandes

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Memoirs of a Revolutionist

By: Peter Kropotkin,Georg Brandes

Oscar Wilde deemed his life "perfect," and described him as a man with "a soul of that beautiful white Christ which seems coming out of Russia." He is PETER ALEXEYEVICH KROPOTKIN (1842-1921), communist advocate and "anarchist prince." A member of the Russian aristocracy and the best known of the revolutionaries before Lenin, Kropotkin originally serialized the story of his life and work for The Atlantic Monthly magazine, from September 1898 through September 1899, and when published in book form, it became his best known work. From his privileged childhood to his role in upending the social order during the turmoil of the late-19th-century Europe, this is an extraordinary firsthand account of a fabled time and place, told by a writer of exquisite insight and talent.

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Page Count

544

Publisher

Cosimo, Inc.

Published Date

ISBN 10

1605206628

ISBN 13

9781605206622

Modelling Computing Systems

Mathematics for Computer Science

By: Faron Moller,Georg Struth

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Modelling Computing Systems

Mathematics for Computer Science

By: Faron Moller,Georg Struth

This engaging text presents the fundamental mathematics and modelling techniques for computing systems in a novel and light-hearted way, which can be easily followed by students at the very beginning of their university education. Key concepts are taught through a large collection of challenging yet fun mathematical games and logical puzzles that require no prior knowledge about computers. The text begins with intuition and examples as a basis from which precise concepts are then developed; demonstrating how, by working within the confines of a precise structured method, the occurrence of errors in the system can be drastically reduced. Features: demonstrates how game theory provides a paradigm for an intuitive understanding of the nature of computation; contains more than 400 exercises throughout the text, with detailed solutions to half of these presented at the end of the book, together with numerous theorems, definitions and examples; describes a modelling approach based on state transition systems.

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Page Count

507

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1848003226

ISBN 13

9781848003224

Lectures On Statistical Mechanics

By: Berthold-georg Englert

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Lectures On Statistical Mechanics

By: Berthold-georg Englert

These lecture notes cover Statistical Mechanics at the level of advanced undergraduates or postgraduates. After a review of thermodynamics, statistical ensembles are introduced, then applied to ideal gases, including degenerate gases of bosons and fermions, followed by a treatment of systems with interaction, of real gases, and of stochastic processes.The book offers a comprehensive and detailed, as well as self-contained, account of material that can and has been covered in a one-semester course for students with a basic understanding of thermodynamics and a solid background in classical mechanics.

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Page Count

308

Publisher

World Scientific

Published Date

ISBN 10

9811224595

ISBN 13

9789811224591

Modeling, Measuring And Managing Risk

By: Georg Ch Pflug,Werner Romisch

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Modeling, Measuring And Managing Risk

By: Georg Ch Pflug,Werner Romisch

This book is the first in the market to treat single- and multi-period risk measures (risk functionals) in a thorough, comprehensive manner. It combines the treatment of properties of the risk measures with the related aspects of decision making under risk.The book introduces the theory of risk measures in a mathematically sound way. It contains properties, characterizations and representations of risk functionals for single-period and multi-period activities, and also shows the embedding of such functionals in decision models and the properties of these models.

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Page Count

303

Publisher

World Scientific

Published Date

ISBN 10

9814475262

ISBN 13

9789814475266

Nonparametric Regression Analysis of Longitudinal Data

By: Hans-Georg Müller

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Nonparametric Regression Analysis of Longitudinal Data

By: Hans-Georg Müller

This monograph reviews some of the work that has been done for longitudi nal data in the rapidly expanding field of nonparametric regression. The aim is to give the reader an impression of the basic mathematical tools that have been applied, and also to provide intuition about the methods and applications. Applications to the analysis of longitudinal studies are emphasized to encourage the non-specialist and applied statistician to try these methods out. To facilitate this, FORTRAN programs are provided which carry out some of the procedures described in the text. The emphasis of most research work so far has been on the theoretical aspects of nonparametric regression. It is my hope that these techniques will gain a firm place in the repertoire of applied statisticians who realize the large potential for convincing applications and the need to use these techniques concurrently with parametric regression. This text evolved during a set of lectures given by the author at the Division of Statistics at the University of California, Davis in Fall 1986 and is based on the author's Habilitationsschrift submitted to the University of Marburg in Spring 1985 as well as on published and unpublished work. Completeness is not attempted, neither in the text nor in the references. The following persons have been particularly generous in sharing research or giving advice: Th. Gasser, P. Ihm, Y. P. Mack, V. Mammi tzsch, G . G. Roussas, U. Stadtmuller, W. Stute and R.

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Page Count

208

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461239265

ISBN 13

9781461239260

Stationary Stochastic Processes

Theory and Applications

By: Georg Lindgren

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Stationary Stochastic Processes

Theory and Applications

By: Georg Lindgren

Intended for a second course in stationary processes, Stationary Stochastic Processes: Theory and Applications presents the theory behind the field’s widely scattered applications in engineering and science. In addition, it reviews sample function properties and spectral representations for stationary processes and fields, including a portion on stationary point processes. Features Presents and illustrates the fundamental correlation and spectral methods for stochastic processes and random fields Explains how the basic theory is used in special applications like detection theory and signal processing, spatial statistics, and reliability Motivates mathematical theory from a statistical model-building viewpoint Introduces a selection of special topics, including extreme value theory, filter theory, long-range dependence, and point processes Provides more than 100 exercises with hints to solutions and selected full solutions This book covers key topics such as ergodicity, crossing problems, and extremes, and opens the doors to a selection of special topics, like extreme value theory, filter theory, long-range dependence, and point processes, and includes many exercises and examples to illustrate the theory. Precise in mathematical details without being pedantic, Stationary Stochastic Processes: Theory and Applications is for the student with some experience with stochastic processes and a desire for deeper understanding without getting bogged down in abstract mathematics.

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Page Count

378

Publisher

CRC Press

Published Date

ISBN 10

1466557796

ISBN 13

9781466557796

Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

By: Georg Polya,R.C. Read

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Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

By: Georg Polya,R.C. Read

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155

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Springer Science & Business Media

Published Date

ISBN 10

1461246644

ISBN 13

9781461246640

Problems and Theorems in Analysis

Series · Integral Calculus · Theory of Functions

By: Georg Polya,Gabor Szegö

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Problems and Theorems in Analysis

Series · Integral Calculus · Theory of Functions

By: Georg Polya,Gabor Szegö

The present English edition is not a mere translation of the German original. Many new problems have been added and there are also other changes, mostly minor. Yet all the alterations amount to less than ten percent of the text. We intended to keep intact the general plan and the original flavor of the work. Thus we have not introduced any essentially new subject matter, although the mathematical fashion has greatly changed since 1924. We have restricted ourselves to supplementing the topics originally chosen. Some of our problems first published in this work have given rise to extensive research. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space. We have to thank many readers who, since the publication of this work almost fifty years ago, communicated to us various remarks on it, some of which have been incorporated into this edition. We have not listed their names; we have forgotten the origin of some contributions, and an incomplete list would have been even less desirable than no list. The first volume has been translated by Mrs. Dorothee Aeppli, the second volume by Professor Claude Billigheimer. We wish to express our warmest thanks to both for the unselfish devotion and scrupulous conscientiousness with which they attacked their far from easy task.

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Page Count

410

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475716400

ISBN 13

9781475716405

Book's by Georg Polya

Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

Memoirs of a Revolutionist

Memoirs of a Revolutionist

Modelling Computing Systems

Modelling Computing Systems

Lectures On Statistical Mechanics

Lectures On Statistical Mechanics

Modeling, Measuring And Managing Risk

Modeling, Measuring And Managing Risk

Nonparametric Regression Analysis of Longitudinal Data

Nonparametric Regression Analysis of Longitudinal Data

Stationary Stochastic Processes

Stationary Stochastic Processes

Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

Problems and Theorems in Analysis

Problems and Theorems in Analysis

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