The World of Mathematics

4 Volumes
James R. Newman

 George Allen & Unwin  | 1956 | Djvu | 9 + 7,7 + 24,3 + 23,8 Mb

Vol 1:

online: archive.org
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Vol. 1 of a monumental 4-volume set includes a general survey of mathematics; historical and biographical information on prominent mathematicians throughout history; material on arithmetic, numbers and the art of counting, and the mathematics of space and motion. Includes commentary by noted mathematics scholar James R. Newman. Features numerous figures.

Vol 2:

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pdf | 32,8 Mb
online: archive.org

Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by and about scores of eminent mathematicians, economists, scientists, and others. Individual articles by Galileo Galilei, Gregor Mendel, Thomas Robert Malthus, and many more.  Includes numerous figures.

Vol 3:

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pdf | 30,4 Mb
online: archive.org

Vol. 3 of a monumental 4-volume set covers such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the unreasonableness of mathematics, the vocabulary of mathematics, and mathematics as an art. Includes contributions by Jacob Bernoulli, George Bernard Shaw, Bertrand Russell, Hans Hahn, Ernst Mach, Hermann Weyl, and many others.

Vol 4:

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online: archive.org

Vol. 4 of a monumental 4-volume set covers such topics as mathematical machines, mathematics in warfare, a mathematical theory of art, mathematics of the good, mathematics in literature, mathematics and music, and amusements, puzzles, and fancies. Individual contributions by A. M. Turing, Aldous Huxley, Sir James Jeans, Lewis Carroll, and other notables.

Amusements in Mathematics

Henry E. Dudeney

Dover Publications | 258 páginas | PDF | 32 mb

online: gutenberg.org

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180.247.113.227/ebook (link direto)
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One of the largest puzzle collections — 430 brainteasers based on algebra, arithmetic, permutations, probability, plane figure dissection, properties of numbers, etc. Intriguing, witty, paradoxical productions of one of the world's foremost creators of puzzles. Full solutions. More than 450 illustrations. 

Trigonometric Delights

Eli Maor

Princeton University Press |1998 | 256 páginas

online: press.princeton.edu

bretdef.net (link direto)

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Referência em: MathEduc

Trigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights.

Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles.

Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.

History of the Theory of Numbers

History of the Theory of Numbers,
Volume I: Divisibility and Primality
Leonard Eugene Dickson

Washington, Carnegie Institution of Washington | 1919
on-line: archive.org

Dover P
ublications | 2005 | 512 páginas

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This 1st volume in the series History of the Theory of Numbers presents the material related to the subjects of divisibility and primality. This series is the work of a distinguished mathematician who taught at the University of Chicago for 4 decades and is celebrated for his many contributions to number theory and group theory. 1919 edition.

History of the Theory of Numbers, Volume ll: Diophantine Analysis

Leonard Eugene Dickson

Washington, Carnegie Institution of Washington | 1919
on-line: archive.org

Dover Publications | 2005 | 832 páginas| DjVu | 12 Mb

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This 2nd volume in the series History of the Theory of Numbers presents material related to Diophantine Analysis. This series is the work of a distinguished mathematician who taught at the University of Chicago for 4 decades and is celebrated for his many contributions to number theory and group theory.

Numbers, Volume III: Quadratic and Higher Forms

Leonard

Eugene Dickson

Washington, Carnegie Institution of Washington | 1919
on-line: archive.org

Dover Publications | 2005 | 320 páginas | DjVu | 3,64 MB


Outros livros do mesmo autor on-line: archive.org

How to Lie With Statistics

Penguin Books | 1973 | pdf | 7,4 Mb

online: archive.org

Darrell Huff, Irving Geis

W. W. Norton & Company | 1993 | 142 páginas | Djvu | 1,7 Mb

"There is terror in numbers," writes Darrell Huff in How to Lie with Statistics. And nowhere does this terror translate to blind acceptance of authority more than in the slippery world of averages, correlations, graphs, and trends. Huff sought to break through "the daze that follows the collision of statistics with the human mind" with this slim volume, first published in 1954. The book remains relevant as a wake-up call for people unaccustomed to examining the endless flow of numbers pouring from Wall Street, Madison Avenue, and everywhere else someone has an axe to grind, a point to prove, or a product to sell. "The secret language of statistics, so appealing in a fact-minded culture, is employed to sensationalize, inflate, confuse, and oversimplify," warns Huff.

Although many of the examples used in the book are charmingly dated, the cautions are timeless. Statistics are rife with opportunities for misuse, from "gee-whiz graphs" that add nonexistent drama to trends, to "results" detached from their method and meaning, to statistics' ultimate bugaboo--faulty cause-and-effect reasoning. Huff's tone is tolerant and amused, but no-nonsense. Like a lecturing father, he expects you to learn something useful from the book, and start applying it every day. Never be a sucker again, he cries!

Even if you can't find a source of demonstrable bias, allow yourself some degree of skepticism about the results as long as there is a possibility of bias somewhere. There always is.

Read How to Lie with Statistics. Whether you encounter statistics at work, at school, or in advertising, you'll remember its simple lessons. Don't be terrorized by numbers, Huff implores. "The fact is that, despite its mathematical base, statistics is as much an art as it is a science." --Therese Littleton

How to Lie With Statistics
Darrell Huff, Irving Geis

W. W. Norton | 1954 | 144 páginas

Comentário em: Plus magazine