Charles H.C. Little's Books

Real Analysis via Sequences and Series

By: Charles H.C. Little,Kee L. Teo,Bruce van Brunt

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Real Analysis via Sequences and Series

By: Charles H.C. Little,Kee L. Teo,Bruce van Brunt

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.

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Page Count

483

Publisher

Springer

Published Date

ISBN 10

1493926519

ISBN 13

9781493926510

The Foundations of Topological Graph Theory

By: C.Paul Bonnington,Charles H.C. Little

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The Foundations of Topological Graph Theory

By: C.Paul Bonnington,Charles H.C. Little

This is not a traditional work on topological graph theory. No current graph or voltage graph adorns its pages. Its readers will not compute the genus (orientable or non-orientable) of a single non-planar graph. Their muscles will not flex under the strain of lifting walks from base graphs to derived graphs. What is it, then? It is an attempt to place topological graph theory on a purely combinatorial yet rigorous footing. The vehicle chosen for this purpose is the con cept of a 3-graph, which is a combinatorial generalisation of an imbedding. These properly edge-coloured cubic graphs are used to classify surfaces, to generalise the Jordan curve theorem, and to prove Mac Lane's characterisation of planar graphs. Thus they playa central role in this book, but it is not being suggested that they are necessarily the most effective tool in areas of topological graph theory not dealt with in this volume. Fruitful though 3-graphs have been for our investigations, other jewels must be examined with a different lens. The sole requirement for understanding the logical development in this book is some elementary knowledge of vector spaces over the field Z2 of residue classes modulo 2. Groups are occasionally mentioned, but no expertise in group theory is required. The treatment will be appreciated best, however, by readers acquainted with topology. A modicum of topology is required in order to comprehend much of the motivation we supply for some of the concepts introduced.

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Page Count

179

Publisher

Springer Science & Business Media

Published Date

ISBN 10

146122540X

ISBN 13

9781461225409

The Works of Charles Darwin, Volume 27

The Power of Movement in Plants

By: Charles Darwin,Sir Francis Darwin

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The Works of Charles Darwin, Volume 27

The Power of Movement in Plants

By: Charles Darwin,Sir Francis Darwin

Charles Robert Darwin (1809–1882) has been widely recognized since his own time as one of the most influential writers in the history of Western thought. His books were widely read by specialists and the general public, and his influence had been extended by almost continuous public debate over the past 150 years. New York University Press's new paperback edition makes it possible to review Darwin's public literary output as a whole, plus his scientific journal articles, his private notebooks, and his correspondence. This is complete edition contains all of Darwin's published books, featuring definitive texts recording original pagination with Darwin's indexes retained. The set also features a general introduction and index, and introductions to each volume.

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Page Count

453

Publisher

NYU Press

Published Date

ISBN 10

0814718256

ISBN 13

9780814718254

An Introduction to Infinite Products

By: Charles H. C. Little,Kee L. Teo,Bruce van Brunt

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An Introduction to Infinite Products

By: Charles H. C. Little,Kee L. Teo,Bruce van Brunt

This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.

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Page Count

258

Publisher

Springer Nature

Published Date

ISBN 10

3030906469

ISBN 13

9783030906467

Lawyers' Record and Official Register of the Unites States

By: H. Charles Ulman

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Lawyers' Record and Official Register of the Unites States

By: H. Charles Ulman

Reprint of the original, first published in 1872. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.

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Page Count

1146

Publisher

BoD – Books on Demand

Published Date

ISBN 10

3382807637

ISBN 13

9783382807634

Book's by Charles H.C. Little

Real Analysis via Sequences and Series

Real Analysis via Sequences and Series

The Foundations of Topological Graph Theory

The Foundations of Topological Graph Theory

The Works of Charles Darwin, Volume 27

The Works of Charles Darwin, Volume 27

An Introduction to Infinite Products

An Introduction to Infinite Products

Lawyers' Record and Official Register of the Unites States

Lawyers' Record and Official Register of the Unites States

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