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Discorsi e dimostrazioni matematiche
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A comprehensive resource containing an entertaining selection of problems in mathematics. Including numerous exercises, illustrations, hints, and solutions, it is aimed at students of mathematics looking for an introduction to problem solving in mathematics, as well as Mathematical Olympiad competitors and other recreational mathematicians. - ;The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurtu
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This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.
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The most comprehensive math root dictionary ever published. Outstanding Academic Title, Choice. Do you ever wonder about the origins of mathematical terms such as ergodic, biholomorphic, and strophoid? Here Anthony Lo Bello explains the roots of these and better-known words like asymmetric, gradient, and average. He provides Greek, Latin, and Arabic text in its original form to enhance each explanation. This sophisticated, one-of-a-kind reference for mathematicians and word lovers is based on decades of the author's painstaking research and work. Origins of Mathematical Words supplies definitions for words such as conchoid (a shell-shaped curve derived from the Greek noun for 'mussel') and zenith (Arabic for 'way overhead'), as well as approximation (from the Latin proximus, meaning 'nearest'). These and hundreds of other terms wait to be discovered within the pages of this mathematical and etymological treasure chest.
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The best way to learn the theory of integration and grasp the subtleties involved is to do exercises and solve problems. This book discusses integration of real functions of a real variable. It contains over 500 problems concerning the Riemann and Riemann-Stieltjes integrals and the Lebesgue integral.
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