This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician's point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the …
"Overview of the most formidable problems mathematicians have vanquished, and those that vex them still"--Dust jacket flap
It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of th…
"This text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only basic high-school mathematics, the text i…
Calculus and Its Origins is primarily a collection of results that show how calculus came to be, beginning in ancient Greece and climaxing with the discovery of calculus. Other books have traveled these paths, but they presuppose knowledge of calculus. This book requires only a …
The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Euler's early mathematical works; the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early piece…
"A comprehensive look at four of the most famous problems in mathematics. Recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straig…
"A comprehensive look at four of the most famous problems in mathematics. Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, t…