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Mathematical Masterpieces: Further Chronicles by the Explorers (Undergraduate Texts in Mathematics) - Softcover

Buch 23 von 170: Undergraduate Texts in Mathematics

Knoebel, Art

 
9780387330617: Mathematical Masterpieces: Further Chronicles by the Explorers (Undergraduate Texts in Mathematics)
Softcover
ISBN 10: 0387330615 ISBN 13: 9780387330617
Verlag: Springer, 2007

Inhaltsangabe

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

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Verlag
Springer
Erscheinungsdatum
2007
Sprache
Englisch
ISBN 10 
0387330615
ISBN 13 
9780387330617
Einband
Taschenbuch
Anzahl der Seiten
352
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