A History Of Mathematics

Author : Carl B. Boyer,Uta C. Merzbach
Publisher : John Wiley & Sons
Page : 695 pages
File Size : 50,9 Mb
Release : 2011-01-11
Category : Mathematics
ISBN : 9780470525487

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A History of Mathematics by Carl B. Boyer,Uta C. Merzbach Pdf

The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

Author : Roger L. Cooke
Publisher : John Wiley & Sons
Page : 630 pages
File Size : 52,9 Mb
Release : 2011-02-14
Category : Mathematics
ISBN : 9781118030240

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The History of Mathematics by Roger L. Cooke Pdf

This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition 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, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations 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 and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Author : Walter William Rouse Ball
Publisher : Unknown
Page : 576 pages
File Size : 41,5 Mb
Release : 1908
Category : Mathematicians
ISBN : UOM:39015065517024

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A Short Account of the History of Mathematics by Walter William Rouse Ball Pdf

Author : John Stillwell
Publisher : Springer Nature
Page : 400 pages
File Size : 41,7 Mb
Release : 2020-11-07
Category : Mathematics
ISBN : 9783030551933

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Mathematics and Its History by John Stillwell Pdf

This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

Author : David M. Burton
Publisher : WCB/McGraw-Hill
Page : 712 pages
File Size : 55,8 Mb
Release : 1991
Category : Mathematics
ISBN : UVA:X004291911

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The History of Mathematics by David M. Burton Pdf

This text is designed for the junior/senior mathematics major who intends to teach mathematics in high school or college. It concentrates on the history of those topics typically covered in an undergraduate curriculum or in elementary schools or high schools. At least one year of calculus is a prerequisite for this course. This book contains enough material for a 2 semester course but it is flexible enough to be used in the more common 1 semester course.

Author : Carl B. Boyer,Uta C. Merzbach
Publisher : John Wiley & Sons
Page : 695 pages
File Size : 41,7 Mb
Release : 2011-01-25
Category : Mathematics
ISBN : 9780470630563

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A History of Mathematics by Carl B. Boyer,Uta C. Merzbach Pdf

The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

Author : Amy Dahan-Dalmedico,Jeanne Pieffer
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 53,9 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457464

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History of Mathematics: Highways and Byways by Amy Dahan-Dalmedico,Jeanne Pieffer Pdf

Author : Ekkehard Kopp
Publisher : Open Book Publishers
Page : 280 pages
File Size : 53,5 Mb
Release : 2020-10-23
Category : Mathematics
ISBN : 9781800640979

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Making up Numbers: A History of Invention in Mathematics by Ekkehard Kopp Pdf

Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Author : Joseph W. Dauben,Christoph J. Scriba
Publisher : Springer Science & Business Media
Page : 776 pages
File Size : 46,9 Mb
Release : 2002-09-23
Category : Mathematics
ISBN : 3764361670

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Writing the History of Mathematics: Its Historical Development by Joseph W. Dauben,Christoph J. Scriba Pdf

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.

Author : Luke Hodgkin
Publisher : OUP Oxford
Page : 296 pages
File Size : 45,9 Mb
Release : 2013-02-21
Category : Mathematics
ISBN : 9780191664366

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A History of Mathematics by Luke Hodgkin Pdf

A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.

Author : Fulvia Furinghetti,Alexander Karp
Publisher : Springer
Page : 314 pages
File Size : 45,6 Mb
Release : 2017-12-04
Category : Education
ISBN : 9783319682945

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Researching the History of Mathematics Education by Fulvia Furinghetti,Alexander Karp Pdf

This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Author : Florian Cajori
Publisher : Unknown
Page : 468 pages
File Size : 40,6 Mb
Release : 1893
Category : Mathematics
ISBN : HARVARD:HW1XZ1

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A History of Mathematics by Florian Cajori Pdf

Author : Walter William Rouse Ball
Publisher : Unknown
Page : 314 pages
File Size : 47,8 Mb
Release : 1889
Category : Mathematics
ISBN : UOM:49015001330126

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A History of the Study of Mathematics at Cambridge by Walter William Rouse Ball Pdf

Author : Frank J. Swetz
Publisher : Walch Publishing
Page : 282 pages
File Size : 41,7 Mb
Release : 1994
Category : Education
ISBN : 0825122643

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Learning Activities from the History of Mathematics by Frank J. Swetz Pdf

Biographies of 23 important mathematicians span many centuries and cultures. Historical Learning Tasks provide 21 in-depth treatments of a variety of historical problems.

Author : Jeff Suzuki
Publisher : MAA
Page : 432 pages
File Size : 40,9 Mb
Release : 2009-08-27
Category : Mathematics
ISBN : 0883855704

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Mathematics in Historical Context by Jeff Suzuki Pdf

An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?