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Book Review: Calculus 2 ed by Robert T Smith and Roland B Minton, McGraw Hill Higher Education 2002

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Vol: 
3
Num: 
1
Author(s)
Authors: 
Choi-Hong Lai
Abstract: 
The main topics of this book are the standard calculus curriculum defined for the last three decades. The contents are structured into two parts, one involves functions for one variable and the other involves functions of several variables. These two parts are carefully arranged in 14 chapters with the addition of Chapter 0 devoted to some preliminary ideas such as the real numbers and the Cartesian plane, some basic methods of approximating zeros, and some important functions frequently required in a calculus course.…The main topics are the standard calculus curriculum. Chapters cover: 1. Limits of a function; 2. Idea of average tangent; 3. Key applications, L^Hoptial rule, Newton method; 4. Intro to integration, Riemann sum and practical examples; 5. Area and volume; 6. Natural logarithm and exponential function; 7. Integration techniques; 8 and 9. Further tools related to functions of one variable; 10 and 11 Basic concepts of vectors and geometry; 12 and 13. Multi variable calculus and introduction to double and triple integrals; 14. Introduction to vector calculus…
Filename: 
31calculus.pdf
Keywords: 
maths, mathematics, calculus, differentiation, integration, Riemann, Newton, area, volume, log, exponential, integration by parts, reduction formula, partial fractions, infinite series, convergence test, Taylor, Fourier series, vectors, geometry, book review, MSOR Connections Feb 2003 Vol 3 No 1