Auction 27 The Richard Eidswick Collection 100 Select Ancient Greek Coins

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Mathematics and Society

Author : Wolfgang König
Publisher :
ISBN 13 : 9783037196649
Total Pages : 314 pages
Book Rating : 4.1/5 (966 download)

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Book Synopsis Mathematics and Society by : Wolfgang König

Download or read book Mathematics and Society written by Wolfgang König and published by . This book was released on 2016 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ubiquity and importance of mathematics in our complex society is generally not in doubt. However, even a scientifically interested layman would be hard pressed to point out aspects of our society where contemporary mathematical research is essential. Most popular examples are finance, engineering, wheather and industry, but the way mathematics comes into play is widely unknown in the public. And who thinks of application fields like biology, encryption, architecture, or voting systems? This volume comprises a number of success stories of mathematics in our society - important areas being shaped by cutting edge mathematical research. The authors are eminent mathematicians with a high sense for public presentation, addressing scientifically interested laymen as well as professionals in mathematics and its application disciplines.

Asymptotic Methods and Singular Perturbations

Author : Robert E. O'Malley
Publisher : American Mathematical Soc.
ISBN 13 : 9780821813300
Total Pages : 164 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Asymptotic Methods and Singular Perturbations by : Robert E. O'Malley

Download or read book Asymptotic Methods and Singular Perturbations written by Robert E. O'Malley and published by American Mathematical Soc.. This book was released on 1976 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Chaos and Fractals: The Mathematics Behind the Computer Graphics

Author : Robert L. Devaney
Publisher : American Mathematical Soc.
ISBN 13 : 0821801376
Total Pages : 176 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Chaos and Fractals: The Mathematics Behind the Computer Graphics by : Robert L. Devaney

Download or read book Chaos and Fractals: The Mathematics Behind the Computer Graphics written by Robert L. Devaney and published by American Mathematical Soc.. This book was released on 1989 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The terms chaos and fractals have received widespread attention in recent years. The alluring computer graphics images associated with these terms have heightened interest among scientists in these ideas. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course, Chaos and Fractals: The Mathematics Behind the Computer Graphics, on August 6-7, 1988, given in conjunction with the AMS Centennial Meeting in Providence, Rhode Island. In his overview, Robert L. Devaney introduces such key topics as hyperbolicity, the period doubling route to chaos, chaotic dynamics, symbolic dynamics and the horseshoe, and the appearance of fractals as the chaotic set for a dynamical system. Linda Keen and Bodil Branner discuss the Mandelbrot set and Julia sets associated to the complex quadratic family z -> z2 + c. Kathleen T. Alligood, James A. Yorke, and Philip J. Holmes discuss some of these topics in higher dimensional settings, including the Smale horseshoe and strange attractors. Jenny Harrison and Michael F. Barnsley give an overview of fractal geometry and its applications. -- from dust jacket.

Imbeddings

Author : Rudolph W. Preisendorfer
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (312 download)

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Book Synopsis Imbeddings by : Rudolph W. Preisendorfer

Download or read book Imbeddings written by Rudolph W. Preisendorfer and published by . This book was released on 1976 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Markoff and Lagrange Spectra

Author : Thomas W. Cusick
Publisher : American Mathematical Soc.
ISBN 13 : 0821815318
Total Pages : 109 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Markoff and Lagrange Spectra by : Thomas W. Cusick

Download or read book The Markoff and Lagrange Spectra written by Thomas W. Cusick and published by American Mathematical Soc.. This book was released on 1989 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is directed at mathematicians interested in Diophantine approximation and the theory of quadratic forms and the relationship of these subjects to Markoff and Lagrange spectra. The authors have gathered and systemized numerous results from the diverse and scattered literature, much of which has appeared in rather inaccessible Russian publications. Readers will find a comprehensive overview of the theory of the Markoff and Lagrange spectra, starting with the origins of the subject in two papers of A. Markoff from 1879-80. Most of the progress since that time has occurred in the last 20 years or so, when there has been a resurgence of interest in these spectra. The authors provide an excellent exposition of these developments, in addition to presenting many proofs and correcting various errors in the literature.

Cryptology and Computational Number Theory

Author : Carl Pomerance
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801550
Total Pages : 188 pages
Book Rating : 4.8/5 (15 download)

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Book Synopsis Cryptology and Computational Number Theory by : Carl Pomerance

Download or read book Cryptology and Computational Number Theory written by Carl Pomerance and published by American Mathematical Soc.. This book was released on 1990 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past dozen or so years, cryptology and computational number theory have become increasingly intertwined. Because the primary cryptologic application of number theory is the apparent intractability of certain computations, these two fields could part in the future and again go their separate ways. But for now, their union is continuing to bring ferment and rapid change in both subjects. This book contains the proceedings of an AMS Short Course in Cryptology and Computational Number Theory, held in August 1989 during the Joint Mathematics Meetings in Boulder, Colorado. These eight papers by six of the top experts in the field will provide readers with a thorough introduction to some of the principal advances in cryptology and computational number theory over the past fifteen years. In addition to an extensive introductory article, the book contains articles on primality testing, discrete logarithms, integer factoring, knapsack cryptosystems, pseudorandom number generators, the theoretical underpinnings of cryptology, and other number theory-based cryptosystems. Requiring only background in elementary number theory, this book is aimed at nonexperts, including graduate students and advanced undergraduates in mathematics and computer science.

Measure and Measurable Dynamics

Author : R. Daniel Mauldin
Publisher : American Mathematical Soc.
ISBN 13 : 0821850997
Total Pages : 352 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Measure and Measurable Dynamics by : R. Daniel Mauldin

Download or read book Measure and Measurable Dynamics written by R. Daniel Mauldin and published by American Mathematical Soc.. This book was released on 1989 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dorothy Maharam Stone's contributions to operators and measure algebras has had a profound influence on this area of research. This volume contains the proceedings of the Conference on Measure and Measurable Dynamics, held in honor of Stone at the University of Rochester in September 1987.

General Topology II

Author : A. V. Arhangel' skii
Publisher : Springer Science & Business Media
ISBN 13 : 3642770304
Total Pages : 265 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis General Topology II by : A. V. Arhangel' skii

Download or read book General Topology II written by A. V. Arhangel' skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compactness is related to a number of fundamental concepts of mathemat ics. Particularly important are compact Hausdorff spaces or compacta. Com pactness appeared in mathematics for the first time as one of the main topo logical properties of an interval, a square, a sphere and any closed, bounded subset of a finite dimensional Euclidean space. Once it was realized that pre cisely this property was responsible for a series of fundamental facts related to those sets such as boundedness and uniform continuity of continuous func tions defined on them, compactness was given an abstract definition in the language of general topology reaching far beyond the class of metric spaces. This immensely extended the realm of application of this concept (including in particular, function spaces of quite general nature). The fact, that general topology provided an adequate language for a description of the concept of compactness and secured a natural medium for its harmonious development is a major credit to this area of mathematics. The final formulation of a general definition of compactness and the creation of the foundations of the theory of compact topological spaces are due to P.S. Aleksandrov and Urysohn (see Aleksandrov and Urysohn (1971)).

Algebraizable Logics

Author : W. J. Blok
Publisher : Advanced Reasoning Forum
ISBN 13 : 1938421183
Total Pages : 90 pages
Book Rating : 4.9/5 (384 download)

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Book Synopsis Algebraizable Logics by : W. J. Blok

Download or read book Algebraizable Logics written by W. J. Blok and published by Advanced Reasoning Forum. This book was released on 2022-07-23 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: W. J. Blok and Don Pigozzi set out to try to answer the question of what it means for a logic to have algebraic semantics. In this seminal book they transformed the study of algebraic logic by giving a general framework for the study of logics by algebraic means. The Dutch mathematician W. J. Blok (1947-2003) received his doctorate from the University of Amsterdam in 1979 and was Professor of Mathematics at the University of Illinois, Chicago until his death in an automobile accident. Don Pigozzi (1935- ) grew up in Oakland, California, received his doctorate from the University of California, Berkeley in 1970, and was Professor of Mathematics at Iowa State University until his retirement in 2002. The Advanced Reasoning Forum is pleased to make available in its Classic Reprints series this exact reproduction of the 1989 text, with a new errata sheet prepared by Don Pigozzi.

Partition Problems in Topology

Author : Stevo Todorcevic
Publisher : American Mathematical Soc.
ISBN 13 : 0821850911
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Partition Problems in Topology by : Stevo Todorcevic

Download or read book Partition Problems in Topology written by Stevo Todorcevic and published by American Mathematical Soc.. This book was released on 1989 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents results on the case of the Ramsey problem for the uncountable: When does a partition of a square of an uncountable set have an uncountable homogeneous set? This problem most frequently appears in areas of general topology, measure theory, and functional analysis. Building on his solution of one of the two most basic partition problems in general topology, the ``S-space problem,'' the author has unified most of the existing results on the subject and made many improvements and simplifications. The first eight sections of the book require basic knowldege of naive set theory at the level of a first year graduate or advanced undergraduate student. The book may also be of interest to the exclusively set-theoretic reader, for it provides an excellent introduction to the subject of forcing axioms of set theory, such as Martin's axiom and the Proper forcing axiom.

Infinite Algebraic Extensions of Finite Fields

Author : Joel V. Brawley
Publisher : American Mathematical Soc.
ISBN 13 : 0821851012
Total Pages : 126 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Infinite Algebraic Extensions of Finite Fields by : Joel V. Brawley

Download or read book Infinite Algebraic Extensions of Finite Fields written by Joel V. Brawley and published by American Mathematical Soc.. This book was released on 1989 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last several decades there has been a renewed interest in finite field theory, partly as a result of important applications in a number of diverse areas such as electronic communications, coding theory, combinatorics, designs, finite geometries, cryptography, and other portions of discrete mathematics. In addition, a number of recent books have been devoted to the subject. Despite the resurgence in interest, it is not widely known that many results concerning finite fields have natural generalizations to abritrary algebraic extensions of finite fields. The purpose of this book is to describe these generalizations. After an introductory chapter surveying pertinent results about finite fields, the book describes the lattice structure of fields between the finite field $GF(q)$ and its algebraic closure $\Gamma (q)$. The authors introduce a notion, due to Steinitz, of an extended positive integer $N$ which includes each ordinary positive integer $n$ as a special case. With the aid of these Steinitz numbers, the algebraic extensions of $GF(q)$ are represented by symbols of the form $GF(q^N)$. When $N$ is an ordinary integer $n$, this notation agrees with the usual notation $GF(q^n)$ for a dimension $n$ extension of $GF(q)$. The authors then show that many of the finite field results concerning $GF(q^n)$ are also true for $GF(q^N)$. One chapter is devoted to giving explicit algorithms for computing in several of the infinite fields $GF(q^N)$ using the notion of an explicit basis for $GF(q^N)$ over $GF(q)$. Another chapter considers polynomials and polynomial-like functions on $GF(q^N)$ and contains a description of several classes of permutation polynomials, including the $q$-polynomials and the Dickson polynomials. Also included is a brief chapter describing two of many potential applications. Aimed at the level of a beginning graduate student or advanced undergraduate, this book could serve well as a supplementary text for a course in finite field theory.

Flow of Electricity in a Magnetic Field

Author : Vito Volterra
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Flow of Electricity in a Magnetic Field by : Vito Volterra

Download or read book Flow of Electricity in a Magnetic Field written by Vito Volterra and published by . This book was released on 1921 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Continuous Analogues of Fock Space

Author : William Arveson
Publisher : American Mathematical Soc.
ISBN 13 : 0821824724
Total Pages : 72 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Continuous Analogues of Fock Space by : William Arveson

Download or read book Continuous Analogues of Fock Space written by William Arveson and published by American Mathematical Soc.. This book was released on 1989 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of classifying semigroups of endomorphisms of type [italic]I[subscript]infinity symbol factors to outer conjugacy is reduced to the problem of classifying certain simpler structures associated to them, called product systems. Product systems are intimately connected with continuous tensor products of Hilbert spaces. We develop the general theory of product systems and give a number of applications to semigroups of endomorphisms of von Neumann algebras; in particular, we introduce a numerical invariant for such semigroups which is analogous to the Fredholm index.

Theta Functions - Bowdoin 1987

Author : Leon Ehrenpreis
Publisher :
ISBN 13 : 9780821814857
Total Pages : pages
Book Rating : 4.8/5 (148 download)

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Book Synopsis Theta Functions - Bowdoin 1987 by : Leon Ehrenpreis

Download or read book Theta Functions - Bowdoin 1987 written by Leon Ehrenpreis and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

General Topology III

Author : A. V. Arhangel' skii
Publisher : Springer Science & Business Media
ISBN 13 : 3662074133
Total Pages : 238 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis General Topology III by : A. V. Arhangel' skii

Download or read book General Topology III written by A. V. Arhangel' skii and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference work deals with important topics in general topology and their role in functional analysis and axiomatic set theory, for graduate students and researchers working in topology, functional analysis, set theory and probability theory. It provides a guide to recent research findings, with three contributions by Arhangel'skii and Choban.

Ordered Algebraic Structures

Author : W.C. Holland
Publisher : Springer Science & Business Media
ISBN 13 : 9401156409
Total Pages : 334 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Ordered Algebraic Structures by : W.C. Holland

Download or read book Ordered Algebraic Structures written by W.C. Holland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference on Ordered Algebraic Structures held in Curat;ao, from the 26th of June through the 30th of June, 1995, at the Avila Beach Hotel, marked the eighth year of ac tivities by the Caribbean Mathematics Foundation (abbr. CMF), which was the principal sponsor of this conference. CMF was inaugurated in 1988 with a conference on Ordered Algebraic Structures. During the years between these two conferences the field has changed sufficiently, both from my point of view and, I believe, that of my co-organizer, W. Charles Holland, to make one wonder about the label "Ordered Algebraic Structures" itself. We recognized this from the start, and right away this conference carried a subtitle, or, if one prefers, an agenda: we concentrated on the one hand, on traditional themes in the theory of ordered groups, including model-theoretic aspects, and, on the other hand, on matters in which topology (more precisely C(X)-style topology) and category theory would play a prominent role. Plainly, ordered algebra has many faces, and it is becoming increas ingly difficult to organize an intimate conference, such as the ones encouraged in the series sponsored by CMF, in this area on a broad set of themes. These proceedings reflect, accurately we think, the spirit of the conferees, but it is not a faithful record of the papers presented at the conference.

Enriques Surfaces I

Author : F. Cossec
Publisher : Nelson Thornes
ISBN 13 : 9780817634179
Total Pages : 424 pages
Book Rating : 4.6/5 (341 download)

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Book Synopsis Enriques Surfaces I by : F. Cossec

Download or read book Enriques Surfaces I written by F. Cossec and published by Nelson Thornes. This book was released on 1989 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two volumes representing the current state of knowledge about Enriques surfaces which occupy one of the classes in the classification of algebraic surfaces. Recent improvements in our understanding of algebraic surfaces over fields of positive characteristic allowed us to approach the subject from a completely geometric point of view although heavily relying on algebraic methods. Some of the techniques presented in this book can be applied to the study of algebraic surfaces of other types. We hope that it will make this book of particular interest to a wider range of research mathematicians and graduate students. Acknowledgements. The undertaking of this project was made possible by the support of several institutions. Our mutual cooperation began at the University of Warwick and the Max Planck Institute of Mathematics in 1982/83. Most of the work in this volume was done during the visit of the first author at the University of Michigan in 1984-1986. The second author was supported during all these years by grants from the National Science Foundation.