Mathematical Masterpieces [electronic resource] : Further Chronicles by the Explorers / by Arthur Knoebel, Jerry Lodder, Reinhard Laubenbacher, David Pengelley.
Contributor(s): Lodder, Jerry [author.] | Laubenbacher, Reinhard [author.] | Pengelley, David [author.] | SpringerLink (Online service)Material type: TextSeries: Undergraduate Texts in Mathematics: Publisher: New York, NY : Springer New York, 2007Description: XII, 340 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780387330624Subject(s): Mathematics | Algorithms | Differential geometry | History | Number theory | Mathematics | History of Mathematical Sciences | Algorithms | Differential Geometry | Number TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 510.9 LOC classification: QA21-27Online resources: Click here to access online
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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.
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.