Landmark Writings in Western Mathematics 1640-1940

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Release : 2005-02-11
Genre : Mathematics
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Book Rating : 444/5 ( reviews)

Landmark Writings in Western Mathematics 1640-1940 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Landmark Writings in Western Mathematics 1640-1940 write by Ivor Grattan-Guinness. This book was released on 2005-02-11. Landmark Writings in Western Mathematics 1640-1940 available in PDF, EPUB and Kindle. This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field

Mathematics in Victorian Britain

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Release : 2011-09-29
Genre : Mathematics
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Book Rating : 941/5 ( reviews)

Mathematics in Victorian Britain - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics in Victorian Britain write by photographer and broadcaster Foreword by Dr Adam Hart-Davis. This book was released on 2011-09-29. Mathematics in Victorian Britain available in PDF, EPUB and Kindle. During the Victorian era, industrial and economic growth led to a phenomenal rise in productivity and invention. That spirit of creativity and ingenuity was reflected in the massive expansion in scope and complexity of many scientific disciplines during this time, with subjects evolving rapidly and the creation of many new disciplines. The subject of mathematics was no exception and many of the advances made by mathematicians during the Victorian period are still familiar today; matrices, vectors, Boolean algebra, histograms, and standard deviation were just some of the innovations pioneered by these mathematicians. This book constitutes perhaps the first general survey of the mathematics of the Victorian period. It assembles in a single source research on the history of Victorian mathematics that would otherwise be out of the reach of the general reader. It charts the growth and institutional development of mathematics as a profession through the course of the 19th century in England, Scotland, Ireland, and across the British Empire. It then focuses on developments in specific mathematical areas, with chapters ranging from developments in pure mathematical topics (such as geometry, algebra, and logic) to Victorian work in the applied side of the subject (including statistics, calculating machines, and astronomy). Along the way, we encounter a host of mathematical scholars, some very well known (such as Charles Babbage, James Clerk Maxwell, Florence Nightingale, and Lewis Carroll), others largely forgotten, but who all contributed to the development of Victorian mathematics.

Classic Problems of Probability

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Release : 2016-05-02
Genre : Mathematics
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Book Rating : 252/5 ( reviews)

Classic Problems of Probability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classic Problems of Probability write by Prakash Gorroochurn. This book was released on 2016-05-02. Classic Problems of Probability available in PDF, EPUB and Kindle. Winner of the 2012 PROSE Award for Mathematics from The American Publishers Awards for Professional and Scholarly Excellence. "A great book, one that I will certainly add to my personal library." —Paul J. Nahin, Professor Emeritus of Electrical Engineering, University of New Hampshire Classic Problems of Probability presents a lively account of the most intriguing aspects of statistics. The book features a large collection of more than thirty classic probability problems which have been carefully selected for their interesting history, the way they have shaped the field, and their counterintuitive nature. From Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713 Golden Theorem to Parrondo's 1996 Perplexing Paradox, the book clearly outlines the puzzles and problems of probability, interweaving the discussion with rich historical detail and the story of how the mathematicians involved arrived at their solutions. Each problem is given an in-depth treatment, including detailed and rigorous mathematical proofs as needed. Some of the fascinating topics discussed by the author include: Buffon's Needle problem and its ingenious treatment by Joseph Barbier, culminating into a discussion of invariance Various paradoxes raised by Joseph Bertrand Classic problems in decision theory, including Pascal's Wager, Kraitchik's Neckties, and Newcomb's problem The Bayesian paradigm and various philosophies of probability Coverage of both elementary and more complex problems, including the Chevalier de Méré problems, Fisher and the lady testing tea, the birthday problem and its various extensions, and the Borel-Kolmogorov paradox Classic Problems of Probability is an eye-opening, one-of-a-kind reference for researchers and professionals interested in the history of probability and the varied problem-solving strategies employed throughout the ages. The book also serves as an insightful supplement for courses on mathematical probability and introductory probability and statistics at the undergraduate level.

A First Course in the Calculus of Variations

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Release : 2014-10-06
Genre : Mathematics
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Book Rating : 953/5 ( reviews)

A First Course in the Calculus of Variations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A First Course in the Calculus of Variations write by Mark Kot. This book was released on 2014-10-06. A First Course in the Calculus of Variations available in PDF, EPUB and Kindle. This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.

A Historian Looks Back

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Release : 2010-10-14
Genre : Mathematics
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Book Rating : 720/5 ( reviews)

A Historian Looks Back - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Historian Looks Back write by Judith V. Grabiner. This book was released on 2010-10-14. A Historian Looks Back available in PDF, EPUB and Kindle. An inspiring collection of a historian's work on the history of mathematics.