Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis"Makes the reader feel the inspiration that comes from listening to a great mathematician." ā 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. |
Other editions - View all
Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra ... Felix Klein Limited preview - 2007 |
Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra ... Felix Klein Limited preview - 2009 |
Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra ... Felix Klein No preview available - 2004 |
Common terms and phrases
aā according algebraic numbers angles appear arbitrary arithmetic assemblages axis biquadratic equation branch points Cā calculation called circle coefficients commutative law complex numbers connection consider continuous functions continuum convergence coordinates corresponding course cubic equation decimal definite denumerable determined differential dihedron division elementary example expression fact factors finite number follows formula fractions function fundamental Gauss geometric give goniometric hyperbola infinitesimal calculus integers integral intuition irrational number lectures Leibniz Leipzig limit linear logarithm mathematicians mathematics Mathematische Annalen means method multiplication negative numbers normal curve notion obtain octahedron operations parabola parameter plane polynomial positive possible power series precisely prime numbers problem proof quaternion rational functions rational numbers real numbers real roots relation Riemann surface schools solution sphere spherical triangle tangent Taylor's theorem theorem theory of numbers transformation trigonometric series values variable vertices zero