History Of Mathematics Highways And Byways

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History of Mathematics: Highways and Byways

Author : Amy Dahan-Dalmedico,Jeanne Pieffer
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 53,6 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

Routes of Learning

Author : I. Grattan-Guinness
Publisher : Unknown
Page : 390 pages
File Size : 45,8 Mb
Release : 2009-11-16
Category : Mathematics
ISBN : UOM:39076002891435

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Routes of Learning by I. Grattan-Guinness Pdf

These essays ponder the intellectual underpinnings of the field, examine the major topics in the history of mathematics, and recount the bizarre history of pseudomath. The author explores how people understand mathematics, the routes of learning they take as they make important discoveries and study mathematical concepts and theories.--[book cover].

Handbook on the History of Mathematics Education

Author : Alexander Karp,Gert Schubring
Publisher : Springer Science & Business Media
Page : 634 pages
File Size : 55,5 Mb
Release : 2014-01-25
Category : Mathematics
ISBN : 9781461491552

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Handbook on the History of Mathematics Education by Alexander Karp,Gert Schubring Pdf

This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.

Calculus and Its Origins

Author : David Perkins
Publisher : MAA
Page : 181 pages
File Size : 40,7 Mb
Release : 2012-04-12
Category : Education
ISBN : 9780883855751

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Calculus and Its Origins by David Perkins Pdf

The story of how calculus came to be, accessible to anyone with a basic knowledge of geometry and algebra.

Trilogy Of Numbers And Arithmetic - Book 1: History Of Numbers And Arithmetic: An Information Perspective

Author : Mark Burgin
Publisher : World Scientific
Page : 370 pages
File Size : 43,5 Mb
Release : 2022-04-22
Category : Mathematics
ISBN : 9789811236853

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Trilogy Of Numbers And Arithmetic - Book 1: History Of Numbers And Arithmetic: An Information Perspective by Mark Burgin Pdf

The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.

Sophie’s Diary

Author : Dora Musielak
Publisher : American Mathematical Society
Page : 293 pages
File Size : 42,8 Mb
Release : 2022-08-11
Category : Mathematics
ISBN : 9781470471569

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Sophie’s Diary by Dora Musielak Pdf

Sophie Germain overcame gender stigmas and a lack of formal education to prove that for all prime exponents less than 100 Case I of Fermat's Last Theorem holds. Hidden behind a man's name, her brilliance as mathematician was first discovered by three of the greatest scholars of the eighteenth century, Lagrange, Gauss, and Legendre. In Sophie's Diary, Germain comes to life through a fictionalized journal that intertwines mathematics with historical descriptions of the brutal events that took place in Paris between 1789 and 1793. This format provides a plausible perspective of how a young Sophie could have learned mathematics on her own—both fascinated by numbers and eager to master tough subjects without a teacher's guidance. Her passion for mathematics is integrated into her personal life as an escape from societal outrage. Sophie's Diary is suitable for a variety of readers—both young and old, mathematicians and novices—who will be inspired and enlightened on a field of study made easy, as told through the intellectual and personal struggles of an exceptional young woman.

Beautiful Mathematics

Author : Martin Erickson
Publisher : MAA
Page : 193 pages
File Size : 55,7 Mb
Release : 2011-12-22
Category : Mathematics
ISBN : 9780883855768

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Beautiful Mathematics by Martin Erickson Pdf

Mathematical ideas with aesthetic appeal for any mathematically minded person.

A Mathematician Comes of Age

Author : Steven G. Krantz
Publisher : MAA
Page : 157 pages
File Size : 49,5 Mb
Release : 2012-03
Category : Education
ISBN : 9780883855782

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A Mathematician Comes of Age by Steven G. Krantz Pdf

This book describes and analyses how a mathematics student can develop into a sophisticated and rigorous thinker.

The Best Writing on Mathematics 2011

Author : Mircea Pitici
Publisher : Princeton University Press
Page : 415 pages
File Size : 51,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9780691153155

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The Best Writing on Mathematics 2011 by Mircea Pitici Pdf

The year's finest writing on mathematics from around the world This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

A Historian Looks Back

Author : Judith V. Grabiner
Publisher : MAA
Page : 307 pages
File Size : 48,5 Mb
Release : 2010-10-14
Category : Mathematics
ISBN : 9780883855720

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A Historian Looks Back by Judith V. Grabiner Pdf

An inspiring collection of a historian's work on the history of mathematics.

American Mathematics 1890-1913

Author : Steve Batterson
Publisher : The Mathematical Association of America
Page : 244 pages
File Size : 47,6 Mb
Release : 2017-06-29
Category : Mathematics
ISBN : 9780883855904

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American Mathematics 1890-1913 by Steve Batterson Pdf

At the turn of the twentieth century, mathematical scholarship in the United States underwent a stunning transformation. In 1890 no American professor was producing mathematical research worthy of international attention. Graduate students were then advised to pursue their studies abroad. By the start of World War I the standing of American mathematics had radically changed. George David Birkhoff, Leonard Dickson, and others were turning out cutting edge investigations that attracted notice in the intellectual centers of Europe. Harvard, Chicago, and Princeton maintained graduate programs comparable to those overseas. This book explores the people, timing, and factors behind this rapid advance. Through the mid-nineteenth century most American colleges followed a classical curriculum that, in mathematics, rarely reached beyond calculus. With no doctoral programs of any sort in the United States until 1860, mathematical scholarship lagged far behind that in Europe. After the Civil War, visionary presidents at Harvard and Johns Hopkins broadened and deepened the opportunities for study. The breakthrough for mathematics began in 1890 with the hiring, in consecutive years, of William F. Osgood and Maxime Bôcher at Harvard and E. H. Moore at Chicago. Each of these young men had studied in Germany where they acquired vital mathematical knowledge and taste. Over the next few years Osgood, Bôcher, and Moore established their own research programs and introduced new graduate courses. Working with other like-minded individuals through the nascent American Mathematical Society, the infrastructure of meetings and journals were created. In the early twentieth century Princeton dramatically upgraded its faculty to give the United States the stability of a third mathematics center. The publication by Birkhoff, in 1913, of the solution to a famous conjecture served notice that American mathematics had earned consideration with the European powers of Germany, France, Italy, England, and Russia.

In the Dark on the Sunny Side

Author : Lawrence W. Baggett
Publisher : MAA
Page : 220 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Biography & Autobiography
ISBN : 9780883855812

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In the Dark on the Sunny Side by Lawrence W. Baggett Pdf

A memoir that describes the groundbreaking life and career of blind mathematician Larry Baggett, interspersed with musings on mathematics.

I, Mathematician

Author : Peter Casazza,Steven G. Krantz,Randi D. Ruden
Publisher : The Mathematical Association of America
Page : 289 pages
File Size : 46,7 Mb
Release : 2015-03-10
Category : Mathematics
ISBN : 9780883855850

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I, Mathematician by Peter Casazza,Steven G. Krantz,Randi D. Ruden Pdf

Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s The Psychology of Invention in the Mathematical Field. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking. Not all respondents addressed the question directly. Michael Atiyah reflects on the tension between truth and beauty in mathematics. T.W. Körner, Alan Schoenfeld and Hyman Bass chose to write, reflectively and thoughtfully, about teaching and learning. Others, including Ian Stewart and Jane Hawkins, write about the sociology of our community. Many of the contributions range into philosophy of mathematics and the nature of our thought processes. Any mathematician will find much of interest here.

Half a Century of Pythagoras Magazine

Author : Alex Van Den Brandhof,Jan Guichelaar,Arnout Jaspers
Publisher : The Mathematical Association of America
Page : 319 pages
File Size : 40,9 Mb
Release : 2015-09-29
Category : Mathematics
ISBN : 9780883855874

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Half a Century of Pythagoras Magazine by Alex Van Den Brandhof,Jan Guichelaar,Arnout Jaspers Pdf

Half a Century of Pythagoras Magazine is a selection of the best and most inspiring articles from this Dutch magazine for recreational mathematics. Founded in 1961 and still thriving today, Pythagoras has given generations of high school students in the Netherlands a perspective on the many branches of mathematics that are not taught in schools. The book contains a mix of easy, yet original puzzles, more challenging - and at least as original – problems, as well as playful introductions to a plethora of subjects in algebra, geometry, topology, number theory and more. Concepts like the sudoku and the magic square are given a whole new dimension. One of the first editors was a personal friend of world famous Dutch graphic artist Maurits Escher, whose 'impossible objects' have been a recurring subject over the years. Articles about his work are part of a special section on 'Mathematics and Art'. While many books on recreational mathematics rely heavily on 'folklore', a reservoir of ancient riddles and games that are being recycled over and over again, most of the puzzles and problems in Half a Century of Pythagoras Magazine are original, invented for this magazine by Pythagoras' many editors and authors over the years. Some are no more than cute little brainteasers which can be solved in a minute, others touch on profound mathematics and can keep the reader entranced indefinitely. Smart high school students and anyone else with a sharp and inquisitive mind will find in this book a treasure trove which is rich enough to keep his or her mind engaged for many weeks and months.

The G. H. Hardy Reader

Author : Donald J. Albers,Gerald L. Alexanderson,William Dunham,Mathematical Association of America
Publisher : Cambridge University Press
Page : 413 pages
File Size : 51,5 Mb
Release : 2016-04-11
Category : Computers
ISBN : 9781107135550

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The G. H. Hardy Reader by Donald J. Albers,Gerald L. Alexanderson,William Dunham,Mathematical Association of America Pdf

G. H. Hardy ranks among the greatest twentieth-century mathematicians. This book introduces this extraordinary individual and his writing.