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Para outros livros sobre matemática e ensino da matemática procure em:


For other books about mathematics and mathematics education try:

domingo, 29 de março de 2009

The psychology of invention in the mathematical field

Jacques Hadamard

Dover Publications Inc. | 1954 | 145 páginas | DJVU | 6 MB


Thoughtful and articulate study of the origin of ideas. Role of the unconscious in invention; the medium of ideas — do they come to mind in words? in pictures? in mathematical terms? Much more. "It is essential for the mathematician, and the layman will find it good reading." — Library Journal.

quinta-feira, 12 de março de 2009

Mathematical And Scientific Development In Early Childhood: A Workshop Summary

Alix Beatty

National Academies Press | 2004 | 54 páginas

on-line em:

sábado, 7 de março de 2009

Famous problems of elementary geometry : the duplication of the cube, the trisection of an angle, the quadrature of the circle

Felix Klein
Hard Press | 2007 | 92 páginas | DjVu

online: (2,42 MB)

Histoire des mathématiques

Tome 1
Walter William Rouse Ball

Librairie scientifique A. Hermann |

Tome 2
Walter William Rouse Ball

Librairie scientifique A. Hermann |

Outros livros de Rouse Ball on-line em:

Mathematical Recreations and Essays

Walter William Rouse Ball


Kessinger Publishing | 2004 | 380 pages | Djvu | 14,4 MB

This classic work offers scores of stimulating, mind-expanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, map-coloring problems, cryptography and cryptanalysis, much more. "A must to add to your mathematics library" — The Mathematics Teacher.

Récréations mathématiques et problèmes des temps anciens et modernes

Walter William Rouse Ball

A. Hermann | 1907

Outros livros de Rouse Ball on-line em:


Hermann Weyl

Princeton University Press | 1952 | pdf | 21,6 Mb


Defines symmetry through a discussion of its many uses in a wide variety of fields both academic and natural.

The Mathematics of Great Amateurs

Julian Lowell Coolidge

Dover | 1949
online :

Oxford University Press | 1990 | 240 páginas (PDF | 10,1 Mb)

This unique history surveys the mathematical contributions of numerous individuals noted mainly for their groundbreaking activities in other fields. It evaluates the discoveries of such luminaries as Plato, Leonardo da Vinci, Omar Khayyam, Jan de Witt, Denis Diderot, William George Horner, Antoine Arnauld, and many others, providing fascinating information on their lives and circumstances. The book also includes a valuable introductory essay by Professor Jeremy Gray, who comments on changes that have taken place in the study of history and mathematics since the initial publication of this classic work in 1949.

The Aryabhatiya of Aryabhata: An Ancient Indian Work on Mathematics and Astronomy

traduzido por Walter Eugene Clark


Kessinger Publishing | 2006 | DjVu | 3 MB | 123 páginas

sexta-feira, 6 de março de 2009

Men of Mathematics / Los Grandes Matemáticos. Su Vida y sus Obras

Men of Mathematics
vol. 1
Eric Temple Bell

Penguin | 1953 | 340 páginas | DjVu | 6,38 MB

Here is the classic, much-read introduction to the craft and history of mathematics by E.T. Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

Men of Mathematics
vol. 2
Eric Temple Bell
1937 -

Penguin | 1953 | DjVu | 6,38 MB

2 vol:

Los Grandes Matemáticos. Su Vida y sus Obras
E. T. Bell
(em castelhano)

A history of elementary mathematics, with hints on methods of teaching

Florian Cajori

Macmillan & co., ltd | 1905


Outros livros de Florian Cajori on-line em:

A history of mathematics

Florian Cajori

Macmillan & co., ltd. | 1919

On-line: (link direto)

PDF -1,4 Mb

The history of mathematics is important as a valuable contribution to the history of civilization. Human progress is closely identified with scientific thought. Mathematical and physical researches are a reliable record of intellectual progress. The history of mathematics is one of the large windows through which the philosophic eye looks into past ages and traces the line of intellectual development.

Outros livros de Florian Cajori on-line em:

A History of Mathematical Notations

Florian Cajori

Dover Publications | 1993  | 820 páginas  | PDF | 34 Mb

This classic study notes the first appearance of a mathematical symbol and its origin, the competition it encountered, its spread among writers in different countries, its rise to popularity, its eventual decline or ultimate survival. The author’s coverage of obsolete notations—and what we can learn from them—is as comprehensive as those which have survived and still enjoy favor. Originally published in 1929 in a two-volume edition, this monumental work is presented here in one volume.

A History Of Mathematical Notations
Vol I
Florian Cajori

The Open Court Publishing Company
| 1928

on-line: (link direto) (PDF - 2,3 Mb)

A His
tory of Mathematical Notations
Volume II
Florian Cajori

The Open Court Publishing Company | 1929 (PDF - 34 Mb)

Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes--first published in 1928-9--distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity.

Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2."

Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Elementary Mathematics, and The Chequered Career of Ferdinand Rudolph Hassler.

A list of Oughtred's mathematical symbols, with historical notes
Berkeley: University of California press | 1920

Outros livros de Florian Cajori on-line em:

A History of Japanese Mathematics

David E. Smith, Yoshio Mikami

Chicago, The Open court publishing company | 1914 (PDF)

Outros livros de David Eugene Smith on-line em:

Work and play with numbers

George Wentworth, David Eugene Smith

Ginn and Co. | 1912

Outros livros de David Eugene Smith on-line em:

The Hindu-arabic numerals

David Eugene Smith , Louis Charles Karpinski

Dover Phoenix Editions | 1911


Outros livros de David Eugene Smith on-line em:

Histórias antigas de números

Number stories long ago
David Eugene Smith

Ginn and Company | 1919

This reissued resource book, orginally published in 1919, uses a dramatic storytelling technique to capture students' imagination. It includes eight color plates and activities, puzzles, and problems, and makes great supplemental reading for elementary school classes.

Outros livros de David Eugene Smith on-line em:

History of Modern Mathematics

David Eugene Smith

2006 | 75 páginas
Outros livros de David Eugene Smith on-line em:

quinta-feira, 5 de março de 2009

The Mathemagician and Pied Puzzler: A Collection in Tribute to Martin Gardner

Tom Rodgers

AK Peters, Ltd. | 1999 | 266 páginas | PDF | 2,3 Mb

On line  :

This volume comprises an imaginative collection of pieces created in tribute to Martin Gardner. Perhaps best known for writing Scientific American's "Mathematical Games" column for years, Gardner used his personal exuberance and fascination with puzzles and magic to entice a wide range of readers into a world of mathematical discovery. This tribute therefore contains pieces as widely varied as Gardner's own interests, ranging from limericks to lengthy treatises, from mathematical journal articles to personal stories. This book makes a charming and unusual addition to any personal library. Selected papers: - The Odyssey of the Figure Eight Puzzle by Stewart Coffin - Block-Packing Jambalaya by Bill Cutler - O'Beirne's Hexiamond by Richard K. Guy - Biblical Ladders by Donald E. Knuth - Three Limericks: On Space, Time and Speed by Tim Rowett.

terça-feira, 3 de março de 2009

On the Shoulders of Giants: New Approaches to Numeracy

Lynn Arthur Steen

National Academy Press | 1990 | 144 Páginas | PDF

Link on-line:

alguns capítulos on-line:
- Pattern pdf 1 pdf 2
Lynn Arthur Steen
- Dimension
Thomas F. Banchoff
- Quantity
James T. Fey
- Uncertainty
David S. Moore
- Shape
Marjorie Senechal pdf 1 pdf 2 pdf 3 pdf 4 pdf 5pdf 6
- Change
Ian Stewart

Forces created by the proliferation of computer hardware and software, by innovative methods of mathematical modelling and applications, by broader demographic considerations, and by schools themselves are profoundly changing the way mathematics is practiced, the way mathematics is taught, and the way mathematics is learned. In this volume, a vision of the richness of mathematics is expressed and illustrated as five different possible strands of school mathematics through the expansion on the theme of mathematics as the language and science of patterns with emphases on interconnections and communalities. Included are: (1) an introduction to the five sample strands with examples of the continuity underlying the fundamentals of mathematics, of the mathematical connections that both unite and repeat, and of the mathematical perspective necessary to view both the variety and the regularity of patterns; (2) the Dimension strand, which focuses on the development of relationships between the different dimensions with emphasis on three-dimensional topics; (3) the Quantity strand, which provides insights into the three basic tasks of measuring, ordering, and coding with attendant symbologies and procedures; (4) the Uncertainty strand, which develops ideas about the natural themes and strategies within the twin concepts of data and chance; (5) the Shape strand, which uses classification to discover similarities and differences among objects, analysis to discern the components of form, and representation to recognize and comprehend shapes within different contexts; and (6) the Change strand, which advocates imaginative and sensitive responses to the constantly emerging new types of patterns, including patterns of thinking about nature, as well as mathematics.

How to Draw a Straight Line: A Lecture on Linkages

(NCTM Classics in Mathematics Education, Volume 6)

Alfred Bray Kempe

National Council of Teachers of Mathematics | 1977 (reimpressão de 1877) | 55 páginas | 1,6 Mb

edição de 1877

País plano

Flatland: A Romance of Many Dimensions
(Oxford World's Classics)
Edwin A. Abbott
Oxford University Press, USA | 2006 | 176 páginas | PDF | 740 KB

Flatland: A Parable of Spiritual Dimensions

(Oneworld Spiritual Classics)
Edwin A. Abbott

Oneworld Publications | 1995 | 160 páginas | 928 KB

on-line: (linkdireto)

Planolândia: um romance de muitas dimensões
Edwin A. Abbott
(versão brasileira)

Versão em espanhol, on-line: