Mathematics Its Historical Aspects Wonders And Beyond

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Mathematics: Its Historical Aspects, Wonders And Beyond

Author : Arthur D Kramer
Publisher : World Scientific
ISBN 13 : 9811248591
Total Pages : 403 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics: Its Historical Aspects, Wonders And Beyond by : Arthur D Kramer

Download or read book Mathematics: Its Historical Aspects, Wonders And Beyond written by Arthur D Kramer and published by World Scientific. This book was released on 2022-06-29 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond

Author : Alfred S Posamentier
Publisher : World Scientific
ISBN 13 : 9811273960
Total Pages : 338 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond by : Alfred S Posamentier

Download or read book Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond written by Alfred S Posamentier and published by World Scientific. This book was released on 2024-01-22 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a subject taught from kindergarten through to high school, and yet it is the one subject that most adults are almost proud to admit to not having been very good at, and, therefore, tend to avoid it where they can. However, one of the key factors in mathematics is its ability to enable us to solve everyday problems. When we consider 'the worst-case scenario' of the situation, it is analogous to solving a mathematical problem by considering extremes. Or, we might consider the best path to take from point A to point B, where geometric relationships can be helpful. This book is intended to demonstrate a variety of neglected aspects of mathematics, in order to demonstrate the power and beauty of the field of mathematics beyond where most people, students, and teachers believe is possible.The chapters of the book explore a multitude of topics: unusual arithmetic calculations and shortcuts, entertaining and instructional problem-solving strategies, unusual applications of algebra, and how geometry allows us to better appreciate physical relationships. Only a basic mathematical knowledge is needed to understand these topics and problems; however, the book also demonstrates that, armed with even this level of understanding, our mathematical skills far exceed what we learned at school! The final chapter is the most challenging, and explores a curious problem-solving technique.

The Development of Mathematics Throughout the Centuries

Author : Brian Evans
Publisher : John Wiley & Sons
ISBN 13 : 1118853970
Total Pages : 252 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis The Development of Mathematics Throughout the Centuries by : Brian Evans

Download or read book The Development of Mathematics Throughout the Centuries written by Brian Evans and published by John Wiley & Sons. This book was released on 2014-02-24 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested

Seduced By Mathematics: The Enduring Fascination Of Mathematics

Author : James D Stein
Publisher : World Scientific
ISBN 13 : 9811255482
Total Pages : 225 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Seduced By Mathematics: The Enduring Fascination Of Mathematics by : James D Stein

Download or read book Seduced By Mathematics: The Enduring Fascination Of Mathematics written by James D Stein and published by World Scientific. This book was released on 2022-07-20 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seduction is not just an end result, but a process — and in mathematics, both the end results and the process by which those end results are achieved are often charming and elegant.This helps to explain why so many people — not just those for whom math plays a key role in their day-to-day lives — have found mathematics so seductive. Math is unique among all subjects in that it contains end results of amazing insight and power, and lines of reasoning that are clever, charming, and elegant. This book is a collection of those results and lines of reasoning that make us say, 'OMG, that's just amazing,' — because that's what mathematics is to those who love it. In addition, some of the stories about mathematical discoveries and the people who discovered them are every bit as fascinating as the discoveries themselves.This book contains material capable of being appreciated by students in elementary school — as well as some material that will probably be new to even the more mathematically sophisticated. Most of the book can be easily understood by those whose only math courses are algebra and geometry, and who may have missed the magic, enchantment, and wonder that is the special province of mathematics.

Introduction To Chaos, Fractals And Dynamical Systems

Author : Phillip A Laplante
Publisher : World Scientific
ISBN 13 : 981127326X
Total Pages : 217 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Introduction To Chaos, Fractals And Dynamical Systems by : Phillip A Laplante

Download or read book Introduction To Chaos, Fractals And Dynamical Systems written by Phillip A Laplante and published by World Scientific. This book was released on 2023-07-26 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a fun and enriching introduction to chaos theory, fractals and dynamical systems, and on the applications of fractals to computer generated graphics and image compression. Introduction to Chaos, Fractals and Dynamical Systems particularly focuses on natural and human phenomenon that can be modeled as fractals, using simple examples to explain the theory of chaos and how it affects all of us. Then, using straightforward mathematic and intuitive descriptions, computer generated graphics and photographs of natural scenes are used to illustrate the beauty of fractals and their importance in our world. Finally, the concept of Dynamical Systems, that is, time-dependent systems, the foundation of Chaos and Fractal, is introduced. Everyday examples are again used to illustrate concepts, and the importance of understanding how these vital systems affect our lives. Throughout the fascinating history of the evolution of chaos theory, fractals and dynamical systems is presented, along with brief introductions to the scientists, mathematicians and engineers who created this knowledge.Introduction to Chaos, Fractals and Dynamical Systems contains ample mathematical definitions, representations, discussions and exercises, so that this book can be used as primary or secondary source in home schooling environments.The book is suitable for homeschooling as a focused course on the subject matter or as a classroom supplement for a variety of courses at the late junior high or early high-school level. For example, in addition to a standalone course on Chaos, Fractals and Dynamical Systems (or similar title), this book could be used with the following courses:The text can also be used in conjunction with mathematics courses for undergraduates for non-science majors. The book can also be used for informal and lively family study and discussion.For each chapter, exercises and things to do are included. These activities range from simple computational tasks to more elaborate computer projects, related activities, biographical research and writing assignments.

A History of Mathematics

Author : Victor J. Katz
Publisher : Addison-Wesley Longman
ISBN 13 :
Total Pages : 1040 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A History of Mathematics by : Victor J. Katz

Download or read book A History of Mathematics written by Victor J. Katz and published by Addison-Wesley Longman. This book was released on 2009 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history.

The History of Mathematics

Author : Roger L. Cooke
Publisher : John Wiley & Sons
ISBN 13 : 1118460294
Total Pages : 593 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis The History of Mathematics by : Roger L. Cooke

Download or read book The History of Mathematics written by Roger L. Cooke and published by John Wiley & Sons. This book was released on 2012-11-08 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential." —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.

Mathematics in Historical Context

Author : Jeff Suzuki
Publisher : MAA
ISBN 13 : 9780883855706
Total Pages : 432 pages
Book Rating : 4.8/5 (557 download)

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Book Synopsis Mathematics in Historical Context by : Jeff Suzuki

Download or read book Mathematics in Historical Context written by Jeff Suzuki and published by MAA. This book was released on 2009-08-27 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

A Concise History of Mathematics

Author : Dirk Jan Struik
Publisher : Courier Corporation
ISBN 13 : 9780486602554
Total Pages : 260 pages
Book Rating : 4.6/5 (25 download)

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Book Synopsis A Concise History of Mathematics by : Dirk Jan Struik

Download or read book A Concise History of Mathematics written by Dirk Jan Struik and published by Courier Corporation. This book was released on 1967 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature.

Math Through the Ages

Author : William P. Berlinghoff
Publisher : Courier Dover Publications
ISBN 13 : 0486832848
Total Pages : 275 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Math Through the Ages by : William P. Berlinghoff

Download or read book Math Through the Ages written by William P. Berlinghoff and published by Courier Dover Publications. This book was released on 2019-03-20 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Mathematics and Its History

Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 144196052X
Total Pages : 672 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mathematics and Its History by : John Stillwell

Download or read book Mathematics and Its History written by John Stillwell and published by Springer Science & Business Media. This book was released on 2010-08-02 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) 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 third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.

The History of Mathematics: An Introduction

Author :
Publisher : McGraw-Hill Higher Education
ISBN 13 : 0077419219
Total Pages : pages
Book Rating : 4.0/5 (774 download)

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Book Synopsis The History of Mathematics: An Introduction by :

Download or read book The History of Mathematics: An Introduction written by and published by McGraw-Hill Higher Education. This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The History of Mathematics

Author : Nicholas Faulkner
Publisher : The Rosen Publishing Group, Inc
ISBN 13 : 1680487779
Total Pages : 346 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis The History of Mathematics by : Nicholas Faulkner

Download or read book The History of Mathematics written by Nicholas Faulkner and published by The Rosen Publishing Group, Inc. This book was released on 2017-12-15 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Development of Mathematics Throughout the Centuries

Author : Brian Evans
Publisher : Wiley
ISBN 13 : 9781118854020
Total Pages : 252 pages
Book Rating : 4.8/5 (54 download)

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Book Synopsis The Development of Mathematics Throughout the Centuries by : Brian Evans

Download or read book The Development of Mathematics Throughout the Centuries written by Brian Evans and published by Wiley. This book was released on 2014-04-18 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested

Turning Points in the History of Mathematics

Author : Hardy Grant
Publisher : Birkhäuser
ISBN 13 : 1493932640
Total Pages : 109 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Turning Points in the History of Mathematics by : Hardy Grant

Download or read book Turning Points in the History of Mathematics written by Hardy Grant and published by Birkhäuser. This book was released on 2016-04-15 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 History of Mathematics

Author : Roger L. Cooke
Publisher : John Wiley & Sons
ISBN 13 : 1118030249
Total Pages : 630 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The History of Mathematics by : Roger L. Cooke

Download or read book The History of Mathematics written by Roger L. Cooke and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

History of Mathematics

Author : Craig Smorynski
Publisher : Springer Science & Business Media
ISBN 13 : 0387754814
Total Pages : 273 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis History of Mathematics by : Craig Smorynski

Download or read book History of Mathematics written by Craig Smorynski and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.