Victoria Symposium on Nonstandard Analysis

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Publisher : Springer
ISBN 13 : 3540379282
Total Pages : 361 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Victoria Symposium on Nonstandard Analysis by : A. Hurd

Download or read book Victoria Symposium on Nonstandard Analysis written by A. Hurd and published by Springer. This book was released on 2006-11-15 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-standard Analysis

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Publisher : Princeton University Press
ISBN 13 : 1400884225
Total Pages : 315 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Non-standard Analysis by : Abraham Robinson

Download or read book Non-standard Analysis written by Abraham Robinson and published by Princeton University Press. This book was released on 2016-08-11 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.

Nonstandard Analysis.

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Publisher : Springer
ISBN 13 : 3540708081
Total Pages : 275 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Nonstandard Analysis. by : R. Lutz

Download or read book Nonstandard Analysis. written by R. Lutz and published by Springer. This book was released on 2006-11-14 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Nonstandard Real Analysis

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Publisher : Academic Press
ISBN 13 : 0080874371
Total Pages : 247 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis An Introduction to Nonstandard Real Analysis by : Albert E. Hurd

Download or read book An Introduction to Nonstandard Real Analysis written by Albert E. Hurd and published by Academic Press. This book was released on 1985-10-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models.

Nonstandard Analysis and Its Applications

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Publisher : Cambridge University Press
ISBN 13 : 052135109X
Total Pages : 365 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Nonstandard Analysis and Its Applications by : Nigel Cutland

Download or read book Nonstandard Analysis and Its Applications written by Nigel Cutland and published by Cambridge University Press. This book was released on 1988-09-30 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for answering questions in subjects such as functional analysis, probability, mathematical physics and topology. The book arises from a conference held in July 1986 at the University of Hull which was designed to provide both an introduction to the subject through introductory lectures, and surveys of the state of research. The first part of the book is devoted to the introductory lectures and the second part consists of presentations of applications of NSA to dynamical systems, topology, automata and orderings on words, the non- linear Boltzmann equation and integration on non-standard hulls of vector lattices. One of the book's attractions is that a standard notation is used throughout so the underlying theory is easily applied in a number of different settings. Consequently this book will be ideal for graduate students and research mathematicians coming to the subject for the first time and it will provide an attractive and stimulating account of the subject.

Applied Nonstandard Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486152340
Total Pages : 210 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Applied Nonstandard Analysis by : Martin Davis

Download or read book Applied Nonstandard Analysis written by Martin Davis and published by Courier Corporation. This book was released on 2014-06-10 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This applications-oriented text assumes no knowledge of mathematical logic in its development of nonstandard analysis techniques and their applications to elementary real analysis and topological and Hilbert space. 1977 edition.

Nonstandard Analysis in Practice

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Publisher : Springer Science & Business Media
ISBN 13 : 364257758X
Total Pages : 262 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Nonstandard Analysis in Practice by : Francine Diener

Download or read book Nonstandard Analysis in Practice written by Francine Diener and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the graduate mathematician and researcher to the effective use of nonstandard analysis (NSA). It provides a tutorial introduction to this modern theory of infinitesimals, followed by nine examples of applications, including complex analysis, stochastic differential equations, differential geometry, topology, probability, integration, and asymptotics. It ends with remarks on teaching with infinitesimals.

Probabilistic Methods in Differential Equations

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Publisher : Springer
ISBN 13 : 3540374817
Total Pages : 173 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Probabilistic Methods in Differential Equations by : M.A. Pinsky

Download or read book Probabilistic Methods in Differential Equations written by M.A. Pinsky and published by Springer. This book was released on 2006-11-22 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Real Numbers, Generalizations of the Reals, and Theories of Continua

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Publisher : Springer Science & Business Media
ISBN 13 : 9401582483
Total Pages : 313 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Real Numbers, Generalizations of the Reals, and Theories of Continua by : P. Ehrlich

Download or read book Real Numbers, Generalizations of the Reals, and Theories of Continua written by P. Ehrlich and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy. On the other hand, this period also witnessed the emergence of a variety of alternative theories of real numbers and corresponding theories of continua, as well as non-Archimedean geometry, non-standard analysis, and a number of important generalizations of the system of real numbers, some of which have been described as arithmetic continua of one type or another. With the exception of E.W. Hobson's essay, which is concerned with the ideas of Cantor and Dedekind and their reception at the turn of the century, the papers in the present collection are either concerned with or are contributions to, the latter groups of studies. All the contributors are outstanding authorities in their respective fields, and the essays, which are directed to historians and philosophers of mathematics as well as to mathematicians who are concerned with the foundations of their subject, are preceded by a lengthy historical introduction.

Logic Colloquium '77

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Publisher : Elsevier
ISBN 13 : 0080955045
Total Pages : 323 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Logic Colloquium '77 by : Lev D. Beklemishev

Download or read book Logic Colloquium '77 written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic Colloquium '77

Trick or Truth?

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Publisher : Springer
ISBN 13 : 3319274953
Total Pages : 253 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Trick or Truth? by : Anthony Aguirre

Download or read book Trick or Truth? written by Anthony Aguirre and published by Springer. This book was released on 2016-02-20 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics. Is mathematics merely another natural science? Or is it the result of human creativity? Does physics simply wear mathematics like a costume, or is math the lifeblood of physical reality? The nineteen wide-ranging, highly imaginative and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition “Trick or Truth”, which attracted over 200 submissions. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.

Nonstandard Analysis - Recent Developments

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Publisher : Springer
ISBN 13 : 3540396020
Total Pages : 222 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Nonstandard Analysis - Recent Developments by : A.E. Hurd

Download or read book Nonstandard Analysis - Recent Developments written by A.E. Hurd and published by Springer. This book was released on 2006-11-15 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catalog of Copyright Entries. Third Series

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Publisher : Copyright Office, Library of Congress
ISBN 13 :
Total Pages : 1406 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Catalog of Copyright Entries. Third Series by : Library of Congress. Copyright Office

Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1976 with total page 1406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Calculus

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Publisher : Courier Corporation
ISBN 13 : 0486484521
Total Pages : 1012 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Elementary Calculus by : H. Jerome Keisler

Download or read book Elementary Calculus written by H. Jerome Keisler and published by Courier Corporation. This book was released on 2012-01-01 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition.

Numerical Analysis

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Publisher : Springer
ISBN 13 : 3540381295
Total Pages : 214 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Numerical Analysis by : G.A. Watson

Download or read book Numerical Analysis written by G.A. Watson and published by Springer. This book was released on 2006-11-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Abraham Robinson

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Publisher : Princeton University Press
ISBN 13 : 1400864097
Total Pages : 580 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Abraham Robinson by : Joseph Warren Dauben

Download or read book Abraham Robinson written by Joseph Warren Dauben and published by Princeton University Press. This book was released on 2014-07-14 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most prominent mathematicians of the twentieth century, Abraham Robinson discovered and developed nonstandard analysis, a rigorous theory of infinitesimals that he used to unite mathematical logic with the larger body of historic and modern mathematics. In this first biography of Robinson, Joseph Dauben reveals the mathematician's personal life to have been a dramatic one: developing his talents in spite of war and ethnic repression, Robinson personally confronted some of the worst political troubles of our times. With the skill and expertise familiar to readers of Dauben's earlier works, the book combines an explanation of Robinson's revolutionary achievements in pure and applied mathematics with a description of his odyssey from Hitler's Germany to the United States via conflict-ridden Palestine and wartime Europe. Robinson was born in Prussia in 1918. As a boy, he fled with his mother and brother Saul to Palestine. A decade later he narrowly escaped from Paris as the Germans invaded France. Having spent the rest of World War II in England, at the Royal Aircraft Establishment in Farnborough, he began his teaching career at the Royal College of Aeronautics. Subsequently he moved to universities in Canada, Israel, and finally the United States. A joint appointment in mathematics and philosophy at UCLA led to a position at Yale University, where Robinson served as Sterling Professor of Mathematics until his untimely death at the age of fifty-five. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Model Theory and Algebra

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Publisher : Springer
ISBN 13 : 3540380574
Total Pages : 475 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Model Theory and Algebra by : D.H. Saracino

Download or read book Model Theory and Algebra written by D.H. Saracino and published by Springer. This book was released on 2006-11-14 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: