Mathematics: Its Historical Aspects, Wonders And Beyond

Mathematics: Its Historical Aspects, Wonders And Beyond
Author: Arthur D Kramer
Publisher: World Scientific
Total Pages: 403
Release: 2022-06-29
Genre: Mathematics
ISBN: 9811248591

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Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.

Mathematics: A Concise History and Philosophy

Mathematics: A Concise History and Philosophy
Author: W.S. Anglin
Publisher: Springer Science & Business Media
Total Pages: 282
Release: 1994
Genre: Mathematics
ISBN: 0387942807

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This concise introduction explores the key mathematical and philosophical aspects of the history of mathematics. Detailed explanations of mathematical procedures used by famous mathematicians give readers a greater opportunity to learn the history and philosophy through problem solving. 23 illustrations.

Mathematics and Its History

Mathematics and Its History
Author: John Stillwell
Publisher: Springer Science & Business Media
Total Pages: 560
Release: 2013-04-17
Genre: Mathematics
ISBN: 1468492810

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This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.

The History of Mathematics

The History of Mathematics
Author: Victor J. Katz
Publisher: Addison-Wesley Longman
Total Pages: 584
Release: 2003
Genre: Mathematics
ISBN:

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Katz's text A History of Mathematics; An Introduction was originally published in 1993; this briefer version allows time enough to address 20th-century topics before a one-semester course is over. Biographical and ethnomathematics coverage have been cut, and recent discoveries have been included. A working knowledge of one year of calculus is enough background for most of the book, although the later chapters are a bit more demanding. Katz is affiliated with the U. of the District of Columbia. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).

Writing the History of Mathematics: Its Historical Development

Writing the History of Mathematics: Its Historical Development
Author: Joseph W. Dauben
Publisher: Springer Science & Business Media
Total Pages: 776
Release: 2002-09-23
Genre: Mathematics
ISBN: 9783764361679

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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.

Mathematics in Historical Context

Mathematics in Historical Context
Author: Jeff Suzuki
Publisher: MAA
Total Pages: 432
Release: 2009-08-27
Genre: Mathematics
ISBN: 9780883855706

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

Wonders Beyond Numbers

Wonders Beyond Numbers
Author: Johnny Ball
Publisher: Bloomsbury Publishing
Total Pages: 481
Release: 2017-10-05
Genre: Mathematics
ISBN: 1472939964

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In this book, Johnny Ball tells one of the most important stories in world history – the story of mathematics. By introducing us to the major characters and leading us through many historical twists and turns, Johnny slowly unravels the tale of how humanity built up a knowledge and understanding of shapes, numbers and patterns from ancient times, a story that leads directly to the technological wonderland we live in today. As Galileo said, 'Everything in the universe is written in the language of mathematics', and Wonders Beyond Numbers is your guide to this language. Mathematics is only one part of this rich and varied tale; we meet many fascinating personalities along the way, such as a mathematician who everyone has heard of but who may not have existed; a Greek philosopher who made so many mistakes that many wanted his books destroyed; a mathematical artist who built the largest masonry dome on earth, which builders had previously declared impossible; a world-renowned painter who discovered mathematics and decided he could no longer stand the sight of a brush; and a philosopher who lost his head, but only after he had died. Enriched with tales of colourful personalities and remarkable discoveries, this book also has plenty of mathematics for keen readers to get stuck into. Written in Johnny Ball's characteristically light-hearted and engaging style, it is packed with historical insight and mathematical marvels; join Johnny and uncover the wonders found beyond the numbers.

Turning Points in the History of Mathematics

Turning Points in the History of Mathematics
Author: Hardy Grant
Publisher: Birkhäuser
Total Pages: 112
Release: 2016-04-15
Genre: Mathematics
ISBN: 1493932640

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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.

Math Through the Ages

Math Through the Ages
Author: William P. Berlinghoff
Publisher: Courier Dover Publications
Total Pages: 275
Release: 2019-03-20
Genre: Mathematics
ISBN: 0486832848

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"This is a beautiful, important book, a pleasure to read, in which the history recounted truly illuminates the mathematical ideas, and the ideas themselves are superbly explained; a wonderful accomplishment." — Barry Mazur, Harvard University "Math Through the Ages is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration." — Glen Van Brummelen, Quest University Designed for students just beginning their study of the discipline, this concise introductory history of mathematics is supplemented by brief but in-depth sketches of the more important individual topics. Covering such subjects as algebra symbols, negative numbers, the metric system, quadratic equations, and much more, this widely adopted work invites and encourages further study of mathematics.

The History of Mathematics

The History of Mathematics
Author: Nicholas Faulkner
Publisher: Encyclopaedia Britannica
Total Pages: 289
Release: 2017-12-15
Genre: Juvenile Nonfiction
ISBN: 1538300419

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This intriguing volume introduces readers to the origins of the mathematical principles they study every day. It covers a wide range of disciplines outlined in curriculum standards and serves as an illuminating companion to their current studies. Readers will learn about the brilliant minds behind some of the breakthroughs in mathematics. They will also enjoy the origin stories of the different disciplines in the field we're so familiar with today. The study of math should go beyond numbers, and this book certainly accomplishes that by giving readers insight into how mathematics came to be.