Introduction to the Analysis of Metric Spaces

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Author: John R. Giles

Publisher: Cambridge University Press

ISBN: 9780521359283

Category: Mathematics

Page: 257

View: 6420

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

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Author: J. R. Giles,John Robilliard Giles

Publisher: Cambridge University Press

ISBN: 9780521653756

Category: Mathematics

Page: 280

View: 1128

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

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Author: Peter J. Cameron

Publisher: Cambridge University Press

ISBN: 1108279325

Category: Mathematics

Page: N.A

View: 8749

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.

Lectures on Real Analysis

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Author: Finnur Lárusson

Publisher: Cambridge University Press

ISBN: 1107026784

Category: Mathematics

Page: 117

View: 839

A rigorous introduction to real analysis for undergraduates. Concise yet comprehensive, it includes a gentle introduction to metric spaces.

Publicationes mathematicae

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Author: Kossuth Lajos Tudományegyetem. Matematikai Intézet

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 9013

Neverending Fractions

An Introduction to Continued Fractions

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Author: Jonathan Borwein,Alf van der Poorten,Jeffrey Shallit,Wadim Zudilin

Publisher: Cambridge University Press

ISBN: 0521186498

Category: Mathematics

Page: 224

View: 986

This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.

Chaos: A Mathematical Introduction

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Author: John Banks,Valentina Dragan,Arthur Jones

Publisher: Cambridge University Press

ISBN: 9780521531047

Category: Mathematics

Page: 294

View: 7981

Presents an introduction to chaos theory.

Report

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Computer engineering

Page: N.A

View: 3719

CPU Performance Evaluation and Execution Time Prediction Using Narrow Spectrum Benchmarking

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Author: Rafael H. Saavedra-Barrera

Publisher: N.A

ISBN: N.A

Category: Bench-marks

Page: 264

View: 9416

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.

Wavelets

A Student Guide

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Author: Peter Nickolas

Publisher: Cambridge University Press

ISBN: 1107612519

Category: Mathematics

Page: 280

View: 7482

Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background.

Choice

Publication of the Association of College and Research Libraries, a Division of the American Library Association

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 4730

Forthcoming Books

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Author: R.R. Bowker Company

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 7448

Foundations of Convex Geometry

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Author: W. A. Coppel

Publisher: Cambridge University Press

ISBN: 9780521639705

Category: Mathematics

Page: 222

View: 2299

This book on the foundations of Euclidean geometry aims to present the subject from the point of view of present day mathematics, taking advantage of all the developments since the appearance of Hilbert's classic work. Here real affine space is characterised by a small number of axioms involving points and line segments making the treatment self-contained and thorough, many results being established under weaker hypotheses than usual. The treatment should be totally accessible for final year undergraduates and graduate students, and can also serve as an introduction to other areas of mathematics such as matroids and antimatroids, combinatorial convexity, the theory of polytopes, projective geometry and functional analysis.

Special Relativity

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Author: Nicholas M.J. Woodhouse

Publisher: Springer-Verlag

ISBN: 3540466762

Category: Science

Page: 88

View: 1161