Mathematical Masterpieces : Further Chronicles by the Explorers

Laubenbacher, Reinhard, Pengelley, David, Lodder, Jerry, Knoebel, Art

ISBN 10: 0387330607 / ISBN 13: 9780387330600

Edité par Springer New York, 2007

A propos de cet article

Used book that is in excellent condition. May show signs of wear or have minor defects.

N° de réf. du vendeur 46726382-75

Détails bibliographiques

• Titre: Mathematical Masterpieces : Further Chronicles by the Explorers
• Éditeur: Springer New York
• Date de parution: 2007
• Langue: anglais
• ISBN à 10 chiffres: 0387330607
• ISBN à 13 chiffres: 9780387330600
• Reliure: Couverture rigide
• Édition: 1st Edition.
• État de l'article: Very Good
• Poids: 1,863 livre

A propos de ce titre

Synopsis

This book traces the historical development of four different mathematical concepts by presenting readers with the original sources, yielding the rewards of a deeper understanding of the subject, an appreciation of the details, and a glimpse into the direction research has taken. Each chapter showcases a masterpiece of mathematical achievement, anchored around a sequence of selected primary sources. The authors begin by studying the interplay between the discrete and continuous, with a focus on sums of powers. They proceed to the development of algorithms for finding numerical solutions of equations as developed by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, with its roots in the emerging calculus of the 17th century, while the final chapter ends with an exploration of the elusive properties of prime numbers, and the patterns found therein. The book includes exercises, numerous historical photographs, and an annotated bibliography.

Présentation de l'éditeur

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.