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Mathematical Masterpieces

Mathematical Masterpieces
Author: Art Knoebel
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 2007-08-14
Genre: Mathematics
ISBN: 0387330615

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Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.


Mathematical Masterpieces

Mathematical Masterpieces
Author: Art Knoebel
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 2007-10-16
Genre: Mathematics
ISBN: 0387330623

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Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.


Maths masterpieces

Maths masterpieces
Author: Gunter Schymkiw
Publisher: R.I.C. Publications
Total Pages: 66
Release: 2005
Genre: Mathematics
ISBN: 1741261651

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The Mathematics Lover's Companion

The Mathematics Lover's Companion
Author: Edward R. Scheinerman
Publisher: Yale University Press
Total Pages: 295
Release: 2017-01-01
Genre: Mathematics
ISBN: 0300223005

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Twenty-three mathematical masterpieces for exploration and enlightenment How can a shape have more than one dimension but fewer than two? What is the best way to elect public officials when more than two candidates are vying for the office? Is it possible for a highly accurate medical test to give mostly incorrect results? Can you tile your floor with regular pentagons? How can you use only the first digit of sales numbers to determine if your accountant is lying? Can mathematics give insights into free will? Edward Scheinerman, an accomplished mathematician and enthusiastic educator, answers all these questions and more in this book, a collection of mathematical masterworks. In bite-sized chapters that require only high school algebra, he invites readers to try their hands at solving mathematical puzzles and provides an engaging and friendly tour of numbers, shapes, and uncertainty. The result is an unforgettable introduction to the fundamentals and pleasures of thinking mathematically.


Maths masterpieces

Maths masterpieces
Author: Gunter Schymkiw
Publisher: R.I.C. Publications
Total Pages: 68
Release: 2005
Genre: Mathematics
ISBN: 1741261643

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"Maths Masterpieces is a set of two blackline masters designed to provide opportunities for students to consolidate knowledge and skills in mathematics while introducing them to significant works of art and their artists."--publisher website.


Math Masterpieces, Grades 6-7

Math Masterpieces, Grades 6-7
Author: Gunter Schymkiw
Publisher: Didax Educational Resources
Total Pages: 62
Release: 2006-04-01
Genre: Mathematics
ISBN: 9781583242360

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The Calculus Gallery

The Calculus Gallery
Author: William Dunham
Publisher: Princeton University Press
Total Pages: 256
Release: 2018-11-13
Genre: Mathematics
ISBN: 069118285X

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More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.


Vita Mathematica

Vita Mathematica
Author: Ronald Calinger
Publisher: Cambridge University Press
Total Pages: 380
Release: 1996
Genre: Mathematics
ISBN: 9780883850978

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Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.


The Richness of the History of Mathematics

The Richness of the History of Mathematics
Author: Karine Chemla
Publisher: Springer Nature
Total Pages: 702
Release: 2023-11-27
Genre: Mathematics
ISBN: 3031408551

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This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.


Journey Through Genius

Journey Through Genius
Author: William Dunham
Publisher: Penguin Books
Total Pages: 324
Release: 1991-08
Genre: Biography & Autobiography
ISBN:

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Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov