Art Knoebel, Reinhard Laubenbacher, Jerry Lodder

Mathematical Masterpieces

Further Chronicles by the Explorers
Mitwirkender: Knoebel, Arthur; Lodder, Jerry; Laubenbacher, Reinhard

• Gebundenes Buch

Produktbeschreibung

Advanced undergraduates will find here an introduction to the excitement of mathematical discovery, through close examination of original historical sources. Each chapter is anchored by a different story sequence of selected primary sources showcasing a masterpiece of mathematical achievement, illustrated by mathematical exercises and historical photographs.

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In introducing his essays on the study and understanding of nature and e- lution, biologist Stephen J. Gould writes: [W]e acquire a surprising source of rich and apparently limitless novelty from the primary documents of great thinkers throughout our history. But why should any nuggets, or even ?akes, be left for int- lectual miners in such terrain? Hasn't the Origin of Species been read untold millions of times? Hasn't every paragraph been subjected to overt scholarly scrutiny and exegesis? Letmeshareasecretrootedingeneralhumanfoibles. . . . Veryfew people, including authors willing to commit to paper, ever really read primary sources-certainly not in necessary depth and completion, and often not at all. . . . I can attest that all major documents of science remain cho- full of distinctive and illuminating novelty, if only people will study them-in full and in the original editions. Why would anyone not yearn to read these works; not hunger for the opportunity? [99, p. 6f] It isin the spirit of Gould's insights on an approach to science based on p- mary texts that we o?er the present book of annotated mathematical sources, from which our undergraduate students have been learning for more than a decade. Although teaching and learning with primary historical sources require a commitment of study, the investment yields the rewards of a deeper understanding of the subject, an appreciation of its details, and a glimpse into the direction research has taken. Our students read sequences of primary sources.

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Produktdetails

• Undergraduate Texts in Mathematics
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 10940822, 978-0-387-33060-0
• 2007
• Seitenzahl: 352
• Erscheinungstermin: 14. August 2007
• Englisch
• Abmessung: 241mm x 160mm x 27mm
• Gewicht: 720g
• ISBN-13: 9780387330600
• ISBN-10: 0387330607
• Artikelnr.: 20807189

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)