"Makes the reader feel the inspiration that comes from listening to a great mathematician." — Bulletin, American Mathematical Society
A distinguished mathematician and educator enlivens abstract discussions of arithmetic, algebra, and analysis by means of graphical and geometrically perceptive methods. His three-part treatment begins with topics associated with arithmetic, including calculating with natural numbers, the first extension of the notion of number, special properties of integers, and complex numbers. Algebra-related subjects constitute the second part, which examines real equations with real unknowns and equations in the field of complex quantities. The final part explores elements of analysis, with discussions of logarithmic and exponential functions, the goniometric functions, and infinitesimal calculus. 1932 edition. 125 figures.
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Discusses calculating with natural numbers, the first extension of the notion of number, special properties of integers, and complex numbers; algebra-related subjects such as real equations with real unknowns and equations in the field of complex quantities. Also explores elements of analysis, with discussions of logarithmic and exponential functions, the goniometric functions, and infinitesimal calculus. 1932 edition. 125 figures.
1. Arithmetic I. Calculating with Natural Numbers II. The First Extension of the Notion of Number III. Concerning Special Properties of Integers IV. Complex Numbers 2. Algebra I. Real Equations with Real Unknowns II. Equations in the Field of Complex Quantities 3. Analysis I. Logarithmic and Exponential Functions II. The Goniometric Functions III. Concerning Infinitesimal Calculus Proper Supplement Indexes
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