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Introduction to the Analysis of Metric Spaces

Introduction to the Analysis of Metric Spaces

  • Author: John R. Giles
  • Publisher: Cambridge University Press
  • ISBN: 9780521359283
  • Category: Mathematics
  • Page: 257
  • View: 5680
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Assuming a basic knowledge of real analysis and linear algebra, the student is given some familiarity with the axiomatic method in analysis and is shown the power of this method in exploiting the fundamental analysis structures underlying a variety of applications. Although the text is titled metric spaces, normed linear spaces are introduced immediately because this added structure is present in many examples and its recognition brings an interesting link with linear algebra; finite dimensional spaces are discussed earlier. It is intended that metric spaces be studied in some detail before general topology is begun. This follows the teaching principle of proceeding from the concrete to the more abstract. Graded exercises are provided at the end of each section and in each set the earlier exercises are designed to assist in the detection of the abstract structural properties in concrete examples while the latter are more conceptually sophisticated.

Introduction to the Analysis of Normed Linear Spaces

Introduction to the Analysis of Normed Linear Spaces

  • Author: J. R. Giles,John Robilliard Giles
  • Publisher: Cambridge University Press
  • ISBN: 9780521653756
  • Category: Mathematics
  • Page: 280
  • View: 3017
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This text is ideal for a basic course in functional analysis for senior undergraduate and beginning postgraduate students. John Giles provides insight into basic abstract analysis, which is now the contextual language of much modern mathematics. Although it is assumed that the student has familiarity with elementary real and complex analysis, linear algebra, and the analysis of metric spaces, the book does not assume a knowledge of integration theory or general topology. Its central theme concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. Giles illustrates the general theory with a great variety of example spaces.

Notes on Counting: An Introduction to Enumerative Combinatorics

Notes on Counting: An Introduction to Enumerative Combinatorics

  • Author: Peter J. Cameron
  • Publisher: Cambridge University Press
  • ISBN: 1108279325
  • Category: Mathematics
  • Page: N.A
  • View: 8157
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Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs for many of the theorems to show the range of techniques available, and uses examples to link enumerative combinatorics to other areas of study. The main section of the book introduces the key tools of the subject (generating functions and recurrence relations), which are then used to study the most important combinatorial objects, namely subsets, partitions, and permutations of a set. Later chapters deal with more specialised topics, including permanents, SDRs, group actions and the Redfield–Pólya theory of cycle indices, Möbius inversion, the Tutte polynomial, and species.

Gazette - Australian Mathematical Society

Gazette - Australian Mathematical Society

  • Author: Australian Mathematical Society
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 5143
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Lectures on Real Analysis

Lectures on Real Analysis

  • Author: Finnur Lárusson
  • Publisher: Cambridge University Press
  • ISBN: 1139511041
  • Category: Mathematics
  • Page: N.A
  • View: 8488
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This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis.

Publicationes mathematicae

Publicationes mathematicae

  • Author: Kossuth Lajos Tudományegyetem. Matematikai Intézet
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 746
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Neverending Fractions

Neverending Fractions

An Introduction to Continued Fractions

  • Author: Jonathan Borwein,Alf van der Poorten,Jeffrey Shallit,Wadim Zudilin
  • Publisher: Cambridge University Press
  • ISBN: 0521186498
  • Category: Mathematics
  • Page: 224
  • View: 3280
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This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.

Notices of the American Mathematical Society

Notices of the American Mathematical Society

  • Author: American Mathematical Society
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 2973
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Chaos: A Mathematical Introduction

Chaos: A Mathematical Introduction

  • Author: John Banks,Valentina Dragan,Arthur Jones
  • Publisher: Cambridge University Press
  • ISBN: 9780521531047
  • Category: Mathematics
  • Page: 294
  • View: 7532
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Presents an introduction to chaos theory.

Wavelets

Wavelets

A Student Guide

  • Author: Peter Nickolas
  • Publisher: Cambridge University Press
  • ISBN: 1107612519
  • Category: Mathematics
  • Page: 280
  • View: 3802
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Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background.

AI 2002: Advances in Artificial Intelligence

AI 2002: Advances in Artificial Intelligence

15th Australian Joint Conference on Artificial Intelligence, Canberra, Australia, December 2-6, 2002, Proceedings

  • Author: Bob McKay,John Slaney
  • Publisher: Springer
  • ISBN: N.A
  • Category: Artificial intelligence
  • Page: 730
  • View: 7310
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This book constitutes the refereed proceedings of the 15th Australian Joint Conference on Artificial Intelligence, AI 2002, held in Canberra, Australia in December 2002. The 62 revised full papers and 12 posters presented were carefully reviewed and selected from 117 submissions. The papers are organized in topical sections on natural language and information retrieval, knowledge representation and reasoning, deduction, learning theory, agents, intelligent systems. Bayesian reasoning and classification, evolutionary algorithms, neural networks, reinforcement learning, constraints and scheduling, neural network applications, satisfiability reasoning, machine learning applications, fuzzy reasoning, and case-based reasoning.

Report

Report

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Computer engineering
  • Page: N.A
  • View: 1663
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CPU Performance Evaluation and Execution Time Prediction Using Narrow Spectrum Benchmarking

CPU Performance Evaluation and Execution Time Prediction Using Narrow Spectrum Benchmarking

  • Author: Rafael H. Saavedra-Barrera
  • Publisher: N.A
  • ISBN: N.A
  • Category: Bench-marks
  • Page: 264
  • View: 2143
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We have developed tools to measure the performance of a variety of machines, from workstations to supercomputers. We have also characterized the execution of many large applications, including the SPEC and Perfect benchmark suites. By merging these machine and program characterizations, we can estimate execution times quite accurately for arbitrary machine-program combinations. Another aspect of the research has consisted in characterizing the effectiveness of optimizing compilers. Another contribution of this dissertation is to propose and investigate new metrics for machine and program similarity and the information that can be derived from them.

Mathematical Reviews

Mathematical Reviews

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 8613
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The Mathematical Intelligencer

The Mathematical Intelligencer

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 6717
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Choice

Choice

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Best books
  • Page: N.A
  • View: 1489
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Bulletin of the Belgian Mathematical Society, Simon Stevin

Bulletin of the Belgian Mathematical Society, Simon Stevin

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 2933
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Geometrie und Billard

Geometrie und Billard

  • Author: Serge Tabachnikov
  • Publisher: Springer-Verlag
  • ISBN: 3642319254
  • Category: Mathematics
  • Page: 165
  • View: 8590
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Wie bewegt sich ein Massenpunkt in einem Gebiet, an dessen Rand er elastisch zurückprallt? Welchen Weg nimmt ein Lichtstrahl in einem Gebiet mit ideal reflektierenden Rändern? Anhand dieser und ähnlicher Fragen stellt das vorliegende Buch Zusammenhänge zwischen Billard und Differentialgeometrie, klassischer Mechanik sowie geometrischer Optik her. Dabei beschäftigt sich das Buch unter anderem mit dem Variationsprinzip beim mathematischen Billard, der symplektischen Geometrie von Lichtstrahlen, der Existenz oder Nichtexistenz von Kaustiken, periodischen Billardtrajektorien und dem Mechanismus für Chaos bei der Billarddynamik. Ergänzend wartet dieses Buch mit einer beachtlichen Anzahl von Exkursen auf, die sich verwandten Themen widmen, darunter der Vierfarbensatz, die mathematisch-physikalische Beschreibung von Regenbögen, der poincaresche Wiederkehrsatz, Hilberts viertes Problem oder der Schließungssatz von Poncelet.​

Subject Guide to Books in Print

Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 4823
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Books in Print

Books in Print

  • Author: R.R. Bowker Company
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 5617
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.