Mathematics and the Imagination

Edward Kasner & James Newman

G. Bell & Sons Ltd.| 1949 | 393 páginas |  pdf | 52,1 Mb

online: archive.org

Anyone who gambles, plays cards, loves puzzles, or simply seeks an intellectual challenge will love this amusing and thought-provoking book. With wit and clarity, the authors deftly progress from simple arithmetic to calculus and non-Euclidean geometry. "Charming and exciting." — Saturday Review of Literature. Includes 169 figures.

A short account of the history of mathematics

W. W. Rouse Ball

The Macmillan Company | 1901

online: archive.org

online: gutenberg.org

PDF - 2 Mb

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This is the classic resource on the history of mathematics providing a deeper understanding of the subject and how it has impacted our culture, all in one essential volume. From the early Greek influences to the middle ages and the renaissance to the end of the 19th-century, trace the fascinating foundation of mathematics as it developed through the ages.

The Copernicus of Antiquity - Aristarchus of Samos

Thomas L. Heath

online: archive.org

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Apollonius of Perga Treatise on Conic Sections 1896

Thomas L. Heath

online: archive.org

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Índice

Introduction: pt. I. The earlier history of conic sections among the Greeks. 1. The discovery of conic sections; Menaechmus. 2. Aristaeus and Euclid. 3. Archimedes. pt. II. Introduction to the conics of Apollonius. 1. The author and his own account of the conics. 2. General characteristics. 3. The methods of Apollonius. 4. The construction of a conic by means of tangents. 5. The three-line and four-line locus. 6. The construction of a conic through five points.-Appendix: Notes on the terminology of Greek geometry.--The conics of Apollonius

The Works of Archimedes

Thomas L. Heath

PDF| 18,45 MB
on-line: archive.org

Diophantus of Alexandria: A Study in the History of Greek Algebra

Second Edition.
Thomas L. Heath
Cambridge, University Press | 1910| 387 páginas | PDF| 39,47 MB

online: archive.org

Mathematics Learning in Early Childhood: Paths Toward Excellence and Equity

Committee on Early Childhood Mathematics, National Research Council

National Academies Press | 2009 | 398 páginas

on-line: nap.edu

Early childhood mathematics is vitally important for young children's present and future educational success. Research has demonstrated that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success.
Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.