Mathematical Masterpieces: Further Chronicles by the Explorers - Brossura

Knoebel, Art

Brossura

ISBN 10: 0387330615 ISBN 13: 9780387330617

Casa editrice: Springer, 2007

Riassunto

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.

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Dalla quarta di copertina

<p>Experience the discovery of mathematics by reading the original work&nbsp;of some of the greatest minds throughout history. Here are the&nbsp;stories of four mathematical adventures, including the Bernoulli&nbsp;numbers as the passage between discrete and continuous phenomena, the&nbsp;search for numerical solutions to equations throughout time, the&nbsp;discovery of curvature and geometric space, and the quest for patterns&nbsp;in prime numbers. Each story is told through the words of the&nbsp;pioneers of mathematical thought. Particular advantages of the&nbsp;historical approach include providing context to mathematical inquiry,&nbsp; perspective to proposed conceptual solutions, and a glimpse into the&nbsp;direction research has taken.&nbsp;The text is ideal for an undergraduate seminar, independent reading,&nbsp;or a capstone course, and offers a wealth of student exercises with a&nbsp;prerequisite of at most multivariable calculus.</p>

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0387330615
• ISBN 13: 9780387330617
• Rilegatura: Copertina flessibile
• Numero di pagine: 352
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania