作者: Richard Courant
DOI:
关键词: Riemann integral 、 Calculus 、 Differentiation under the integral sign 、 Differential calculus 、 Mathematics 、 Antiderivative 、 Sum rule in integration 、 Time-scale calculus 、 Fundamental theorem of calculus 、 Integration by substitution
摘要: Partial table of contents: The Continuum Numbers, Concept Function, the Limit a Sequence, Continuity. Fundamental Ideas Integral and Differential Calculus: Definite Integral, Derivative, Estimation Integrals Mean Value Theorem Calculus. Differentiation Integration Elementary Functions: Maxima Minima, Logarithm Exponential Hyperbolic Functions. Further Development Method Substitution, by Parts, Rational Functions, Improper Integrals. Applications. Taylor's Approximate Expression Functions Polynomials. Numerical Methods. Infinite Series Other Limiting Processes. Fourier Series. A Sketch Theory Several Variables. Equations for Simplest Types Vibration. Answers Hints. Index.