William Charles Livingston's Books

Color and Light in Nature

By: David K. Lynch,William Charles Livingston

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Color and Light in Nature

By: David K. Lynch,William Charles Livingston

We live in a world of optical marvels - from the commonplace but beautiful rainbow, to the rare and eerie superior mirage. But how many of us really understand how a rainbow is formed, why the setting sun is red and flattened, or even why the sky at night is not absolutely black? This beautiful and informative guide provides clear explanations to all naturally occurring optical phenomena seen with the naked eye, including shadows, halos, water optics, mirages and a host of other spectacles. Separating myth from reality, it outlines the basic principles involved, and supports them with many figures and references. A wealth of rare and spectacular photographs, many in full color, illustrate the phenomena throughout. In this new edition of the highly-acclaimed guide to seeing, photographing and understanding nature's optical delights, the authors have added over 50 new images and provided new material on experiments you can try yourself.

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Page Count

296

Publisher

Cambridge University Press

Published Date

ISBN 10

0521775043

ISBN 13

9780521775045

Fundamentals of Solar Astronomy

By: A. Bhatnagar,William Charles Livingston

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Fundamentals of Solar Astronomy

By: A. Bhatnagar,William Charles Livingston

There are several textbooks available on solar astronomy which deal with advanced astrophysical aspects of solar physics, and books which provide very elementary knowledge about the Sun. This book will help to bridge the gap. It aims to stimulate interest in solar astronomy, presenting at one place the basic methods and techniques used in the field, together with the latest findings and the excitement in solar physics. As solar astronomy is becoming very popular among amateur astronomers and laymen, the book provides the practical knowledge to build simple solar telescopes and other equipment for making solar observations. Amateur astronomers have made important contributions to solar astronomy, and this book will help to guide them in their endeavours. The book can also serve as a text for undergraduate and graduate students starting out on solar physics. Using it, graduate students can easily embark on specific topics of research in solar astronomy.

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Page Count

468

Publisher

World Scientific

Published Date

ISBN 10

9812567879

ISBN 13

9789812567871

The Lebesgue Integral for Undergraduates

By: William Johnston

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The Lebesgue Integral for Undergraduates

By: William Johnston

In 1902, modern function theory began when Henri Lebesgue described a new "integral calculus." His "Lebesgue integral" handles more functions than the traditional integral-so many more that mathematicians can study collections (spaces) of functions. For example, it defines a distance between any two functions in a space. This book describes these ideas in an elementary accessible way. Anyone who has mastered calculus concepts of limits, derivatives, and series can enjoy the material. Unlike any other text, this book brings analysis research topics within reach of readers even just beginning to think about functions from a theoretical point of view.

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Page Count

297

Publisher

The Mathematical Association of America

Published Date

ISBN 10

1939512077

ISBN 13

9781939512079

25 Surprising Marriages

How Great Christians Struggled to Make Their Marriages Work

By: William J. Petersen

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25 Surprising Marriages

How Great Christians Struggled to Make Their Marriages Work

By: William J. Petersen

This fascinating book reveals that the marriages of many Christian leaders were anything but dull. In fact, the dynamic personalities of great leaders, mixed with the difficult circumstances and sacrifices of their vocations, made for many surprises along the marital journey. Writing in an entertaining narrative style, Petersen describes the quiet strength of Polly Newton, Emma Moody, and Susie Spurgeon, long-suffering women who helped refine their "diamond-in-the-rough" husbands. He recounts the "storybook romance" that was William and Mary Bryan's marriage and the mutual admiration society of Billy and Nell Sunday. But Petersen also sheds light on unions that were far from blissful, including those of authors Hannah Whitall Smith and Grace Livingston Hill. Whether the marriages in these pages were solid or shaky, they all hold valuable lessons for dealing with universal issues such as financial worries, temptation, separation, and personality differences."--Provided by publisher.

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Page Count

506

Publisher

Masthof Press & Bookstore

Published Date

ISBN 10

1601261500

ISBN 13

9781601261502

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

By: William P. Berlinghoff,Fernando Q. Gouvea

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Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

By: William P. Berlinghoff,Fernando Q. Gouvea

`Math through the Ages' is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration. --Glen van Brummelen, Quest University, President (2012-14) of the Canadian Society for History and Philosophy of Mathematics Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind $pi$? ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? ... logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. ``What to Read Next'' and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.

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Page Count

349

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1939512123

ISBN 13

9781939512123

Book's by William Charles Livingston

Color and Light in Nature

Color and Light in Nature

Fundamentals of Solar Astronomy

Fundamentals of Solar Astronomy

The Lebesgue Integral for Undergraduates

The Lebesgue Integral for Undergraduates

25 Surprising Marriages

25 Surprising Marriages

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

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