The European Mathematical Awakening

The European Mathematical Awakening PDF Author: Frank J. Swetz
Publisher: Courier Corporation
ISBN: 0486498050
Category : Mathematics
Languages : en
Pages : 266

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Book Description
" A global survey of the history of mathematics, this newly corrected and updated collection of 32 highly readable essays features contributions by such distinguished educators as Carl Boyer and Morris Kline. Fascinating articles explore studies by Fibonacci, Descartes, Cardano, Kepler, Galileo, Pascal, Newton, Euler, and others. Suitable for readers with no background in math"--

The European Mathematical Awakening

The European Mathematical Awakening PDF Author: Frank J. Swetz
Publisher: Courier Corporation
ISBN: 0486498050
Category : Mathematics
Languages : en
Pages : 266

Get Book

Book Description
" A global survey of the history of mathematics, this newly corrected and updated collection of 32 highly readable essays features contributions by such distinguished educators as Carl Boyer and Morris Kline. Fascinating articles explore studies by Fibonacci, Descartes, Cardano, Kepler, Galileo, Pascal, Newton, Euler, and others. Suitable for readers with no background in math"--

Evolution of Mathematical Concepts

Evolution of Mathematical Concepts PDF Author: Raymond L. Wilder
Publisher: Courier Corporation
ISBN: 0486490610
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.

Collected works

Collected works PDF Author: Jacques Tits
Publisher: European Mathematical Society
ISBN: 3037191260
Category : Geometry, Algebraic
Languages : de
Pages : 2

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Book Description


Capitalism and Arithmetic

Capitalism and Arithmetic PDF Author: Frank J. Swetz
Publisher: Open Court Publishing
ISBN: 9780812690149
Category : Business & Economics
Languages : en
Pages : 372

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Book Description
"The Treviso Arithmetic, or Arte dell'Abbaco, is an anonymous textbook in commercial arithmetic written in vernacular Venetian and published in Treviso, Italy in 1478. The Treviso Arithmetic is the earliest known printed mathematics book in the West, and one of the first printed European textbooks dealing with a science. The Treviso Arithmetic is a practical book intended for self study and for use in Venetian trade. It is written in vernacular Venetian and communicated knowledge to a large population. It helped to end the monopoly on mathematical knowledge and gave important information to the middle class. It was not written for a large audience, but was intended to teach mathematics of everyday currency. The Treviso became one of the first mathematics books written for the expansion of human knowledge. It provided an opportunity for the common person, rather than only a privileged few, to learn the art of computation. The Treviso Arithmetic provided an early example of the Hindu-Arabic numeral system computational algorithms."--Wikipedia.

The History of Mathematics in Europe

The History of Mathematics in Europe PDF Author: John William Navin Sullivan
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 122

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Book Description


The History of Mathematics in Europe

The History of Mathematics in Europe PDF Author: John William Navin Sullivan
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :

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Book Description


From Cardano's Great Art to Lagrange's Reflections

From Cardano's Great Art to Lagrange's Reflections PDF Author: Jacqueline A. Stedall
Publisher: European Mathematical Society
ISBN: 9783037190920
Category : Algebra
Languages : en
Pages : 244

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Book Description
This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.

Sourcebook in the Mathematics of Medieval Europe and North Africa

Sourcebook in the Mathematics of Medieval Europe and North Africa PDF Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691156859
Category : Mathematics
Languages : en
Pages : 592

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Book Description
Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

Mathematics for the Nonmathematician

Mathematics for the Nonmathematician PDF Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486316130
Category : Mathematics
Languages : en
Pages : 672

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Book Description
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

Mathematical Excursions to the World's Great Buildings

Mathematical Excursions to the World's Great Buildings PDF Author: Alexander Hahn
Publisher: Princeton University Press
ISBN: 0691145202
Category : Architecture
Languages : en
Pages : 344

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Book Description
Describes the mathematics behind the design of famous buildings, including the Parthenon, the Sydney Opera House, and the Bilbao Guggenheim.