TY - BOOK AU - AU - AU - AU - ED - SpringerLink (Online service) TI - Mathematical Masterpieces: Further Chronicles by the Explorers T2 - Undergraduate Texts in Mathematics, SN - 9780387330624 AV - QA21-27 U1 - 510.9 23 PY - 2007/// CY - New York, NY PB - Springer New York KW - Mathematics KW - Algorithms KW - Global differential geometry KW - Mathematics_ KW - History KW - Number theory KW - History of Mathematics KW - Differential Geometry KW - Number Theory N1 - 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; ZDB-2-SMA N2 - 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 UR - http://dx.doi.org/10.1007/978-0-387-33062-4 ER -