Art Knoebel, Reinhard Laubenbacher, Jerry Lodder, David Pengelley

Mathematical Masterpieces (eBook, PDF)

Further Chronicles by the Explorers

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer US
• Seitenzahl: 340
• Erscheinungstermin: 16. Oktober 2007
• Englisch
• ISBN-13: 9780387330624
• Artikelnr.: 43732591

Autorenporträt

Art Knoebel, Albuquerque, NM, USA / Reinhard Laubenbacher, Virginia Bioinformatics Institute, Blacksburg, VA, USA / Jerry M. Lodder, New Mexico State University, Las Cruces, NM, USA / David Pengelley, New Mexico State University, Las Cruces, NM, USA

Inhaltsangabe

The Bridge Between Continuous and Discrete.- Solving Equations Numerically: Finding Our Roots.- Curvature and the Notion of Space.- Patterns in Prime Numbers: The Quadratic Reciprocity Law.

Rezensionen

From the reviews:

"This book is closely related to courses of mathematics held for students at New Mexico State University ... . An important aspect of the book is the numerous exercises, which should help students to gain a deeper insight into the presented material. Numerous references and well-organized indices make the book easy to use. It can be recommended for university libraries and students with an interest in the history of mathematics presented from a modern point of view."

(EMS Newsletter, September, 2008)

"This book consists of four chapters, each of which presents a 'sequence of selected primary sources' leading up to a 'masterpiece of mathematical achievement'. ... Each chapter contains ... lots of historical comments sketching the further development of the topic. There are also a lot of exercises. ... This is a well written and entertaining book that can (and should) be used in seminars or reading courses."

(Franz Lemmermeyer, Zentralblatt MATH, Vol. 1140, 2008)