The Story of Mathematics

the assault of the incompleteness theory, yet logic and axioms still lie at the heart of mathematics as it is practised. A more modern view is the empiricist one promoted by W. V. Quine (1908–2000) and HilaryPutnam(born 1926).

Author: Anne Rooney

Publisher: Arcturus Publishing

ISBN: 9781848580350

Category: Mathematics


View: 424


In order to understand the universe you must know the language in which it is written. And that language is mathematics.' Galileo (1564-1642) For hundreds of thousands of years, we have sought order in the apparent chaos of the universe. Mathematics has been our most valuable tool in that search, uncovering the patterns and rules that govern...

Lectures in the History of Mathematics

which for more than a century took a rather prominent place within mathematics and then vanished in a short time . Still , the arguments about the question of when a problem is solved remain in a certain sense elusive and unreal .

Author: H. J. M. Bos

Publisher: American Mathematical Soc.

ISBN: 082189675X

Category: Mathematics

Page: 197

View: 149


" [These lectures] are about themes of the history of mathematics which for various reasons are dear to me. The early differential and integral calculus, Christiaan Huygens, and the concept of construction in seventeenth- and eighteenth-century mathematics are the three themes around which much of my research has concentrated and which continue to fascinate me by the insights they offer in the development of that special human activity called mathematics." ---from the Introduction. This volume contains 11 lectures ranging over a variety of topics in the history of mathematics. The lectures, presented between 1970 and 1987, were delivered in a variety of venues and appeared only in less accessible publications. Those who teach mathematics, as well as mathematics historians, will appreciate this insightful, wide ranging book. The History of Mathematics series is cojointly published with the London Mathematical Society

The History of Mathematics

Like the mathematics of Europe proper, the story of this “colonial” mathematics is too large to fit into the present volume, and so we shall, with regret, omit South America and South Africa from the story and concentrate on the origins ...

Author: Roger L. Cooke

Publisher: John Wiley & Sons

ISBN: 9781118030240

Category: Mathematics

Page: 632

View: 387


This new edition brings the fascinating and intriguing historyof mathematics to life The Second Edition of this internationally acclaimed text hasbeen thoroughly revised, updated, and reorganized to give readers afresh perspective on the evolution of mathematics. Written by oneof the world's leading experts on the history of mathematics, thebook details the key historical developments in the field,providing an understanding and appreciation of how mathematicsinfluences today's science, art, music, literature, andsociety. In the first edition, each chapter was devoted to a singleculture. This Second Edition is organized by subject matter: ageneral survey of mathematics in many cultures, arithmetic,geometry, algebra, analysis, and mathematical inference. This neworganization enables students to focus on one complete topic and,at the same time, compare how different cultures approached eachtopic. Many new photographs and diagrams have been added to thisedition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World,including the origin and prehistory of mathematics, culturalsurveys, and women mathematicians Numbers, including counting, calculation, ancient numbertheory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics oncivilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry,post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations andmethods, and modern algebra Analysis, including the calculus, real, and complexanalysis Mathematical Inference, including probability and statistics,and logic and set theory As readers progress through the text, they learn about theevolution of each topic, how different cultures devised their ownsolutions, and how these solutions enabled the cultures to developand progress. In addition, readers will meet some of the greatestmathematicians of the ages, who helped lay the groundwork fortoday's science and technology. The book's lively approach makes it appropriate for anyoneinterested in learning how the field of mathematics came to be whatit is today. It can also serve as a textbook for undergraduate orgraduate-level courses. An Instructor's Manual presenting detailedsolutions to all the problems in the book is available upon requestfrom the Wiley editorial department.

A Short Account of the History of Mathematics

The story of his subsequent degradation for accepting bribes is well known . ... principles which should guide those who are making experiments on which they propose to found a theory of any branch of physics or applied mathematics .

Author: Walter William Rouse Ball


ISBN: UOMDLP:aca1117:0001.001

Category: Mathematics

Page: 522

View: 350


The History of Mathematics A Very Short Introduction

Mathematics: myth. and. history. It is not often that a thorny old mathematical problem makes the news, but in 1993 newspapers in Britain, France, and the United States announced that a 40-year-old mathematician called Andrew Wiles, ...

Author: Jacqueline Stedall

Publisher: Oxford University Press

ISBN: 9780199599684

Category: Mathematics

Page: 123

View: 468


In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day, using illustrative case studies drawn from a range of times and places; including early imperial China, the medieval Islamic world, and nineteenth-century Britain.

Crossroads in the History of Mathematics and Mathematics Education

What today seems like a simple base to exponent relationship really has a long history of work and improvements. The natural logarithm further helps us see the connection between the labors of a Scottish mathematician (and many others) ...

Author: Bharath Sriraman

Publisher: IAP

ISBN: 9781617357060

Category: Education

Page: 383

View: 431


The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning of the history of mathematics and other undergraduate topics. In this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers.

The History of Mathematics A Source Based Approach Volume 1

of it that we are interested in) until the 15th century. Later we pick up the story of what happened in the Renaissance and onwards, when we shall see that it was the mathematics from the time of Euclid and Archimedes that the later ...

Author: June Barrow-Green

Publisher: American Mathematical Soc.

ISBN: 9781470443528

Category: Mathematics

Page: 488

View: 589


The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original—primary and secondary—source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

Turning Points in the History of Mathematics

Berlinghoff, W.P., Gouvêa, F.Q.: Math through the ages: A gentle history for teachers and others, expanded edition. Mathematical Association of America (2004) 3. Birkhoff, G. (ed.): A Source Book in Classical Analysis.

Author: Hardy Grant

Publisher: Birkhäuser

ISBN: 9781493932641

Category: Mathematics

Page: 109

View: 972


This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation. Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided. Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to learn more about the important moments in its development.

The Britannica Guide to The History of Mathematics

on target, but also bad news for heavyweight mathematicians Bertrand Russell, David Hilbert, Gottlob Frege, and Alfred North Whitehead. These four giants in the math world had spent significant portions of their careers trying to ...

Author: Erik Gregersen Associate Editor, Astronomy and Space Exploration

Publisher: The Rosen Publishing Group, Inc

ISBN: 9781615301270

Category: Juvenile Nonfiction

Page: 312

View: 281


Traces the origins and development of arithmetic, geometry, trigonometry, analytic geometry, and calculus from the ancient civilizations to the present.

Writing the History of Mathematics Its Historical Development

In fact , Courant hoped that Boyer's book would " reach every teacher of mathematics ; then it certainly will have a strong influence towards a healthy reform in the teaching of mathematics . " Teaching Mathematics : The Uses of History ...

Author: Joseph W. Dauben

Publisher: Springer Science & Business Media

ISBN: 3764361670

Category: Mathematics

Page: 689

View: 825


As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.