Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis

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Cosimo, Inc., Jan 1, 2009 - Mathematics - 284 pages
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When the mathematician Felix Klein first went to university, he was surprised at just how little what he had learned up to that point was relevant to his new studies. Professors had their own interests, and these they conveyed without regard for the math students of the future that these prospective secondary schoolteachers would one day instruct. Elementary Mathematics from an Advanced Standpoint was written to help remedy that problem. Though highly regarded as one of the finest mathematical minds of his day, Professor Klein took a great deal of interest in guiding teachers and "reducing the gap between the school and the university." Readers will come away impressed at the clarity of Klein's writing, and the ease with which he conveys complex mathematical ideas. Divided into three parts-arithmetic, algebra, and analysis-and covering such topics as complex numbers, real equations, and logarithmic and exponential functions, Klein's classic is essential reading for math instructors and students planning to become math instructors. German mathematician FELIX KLEIN (1849-1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Geometry and Famous Problems of Elementary Geometry.

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The First Extension of the Notion of Number
Concerning Special Properties of Integers
Real Equations with Real Unknowns
Equations in the field of complex quantities
Logarithmic and Exponential Functions
The Goniometric Functions
Concerning Infinitesimal Calculus Proper
Transcendence of the Numbers e and as
The Theory of Assemblages
Index of Names

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