Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today's would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use of logarithm table? No advanced math is required. Includes 100 problems with proofs.
Here's a sample of other books in this Dover category
General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic by Karl Friedrich Gauss, Adam Hiltebeitel, James Morehead, Peter Pesic This influential work defines the concept of surface curvature and presents the important theorem stating that the "Gauss curvature" is invariant under arbitrary isometric deformation of a curved surface. 1902 edition.
Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis by Felix Klein Graphical and geometrically perceptive methods enliven a distinguished mathematician's treatment of arithmetic, algebra, and analysis. Topics include calculating with natural numbers, complex numbers, goniometric functions, and infinitesimal calculus. 1932 edition. Includes 125 figures.
Problems in Modern Mathematics by Stanislaw M. Ulam A distinguished mathematician considers problems in several fields of mathematics, including set theory, algebra, metric and topological spaces, topological groups, analysis, physical systems, and the use of computers as a heuristic aid.
Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics by Friedrich Waismann Examinations of arithmetic, geometry, and theory of integers; rational and natural numbers; complete induction; limit and point of accumulation; remarkable curves; complex and hypercomplex numbers; more. Includes 27 figures. 1959 edition.
