NUMBERS, TRIGONOMETRIC FUNCTIONS AND COORDINATE GEOMETRYSets and numbersIntegers, rationals and arithmetic laws Absolute value of a real numberMathematical inductionReview of trigonometric propertiesCartesian geometryPolar coordinatesCompleting the squareLogarithmic functionsGreek symbols used in mathematicsVARIABLES, FUNCTIONS AND MAPPINGSVariables and functionsInverse functionsSome special functionsCurves and parametersFunctions of several real variablesSEQUENCES, LIMITS AND CONTINUITYSequencesLimits of sequencesThe number eLimits of functions -/ continuityFunctions of several variables -/ l. Read more...
Abstract: NUMBERS, TRIGONOMETRIC FUNCTIONS AND COORDINATE GEOMETRYSets and numbersIntegers, rationals and arithmetic laws Absolute value of a real numberMathematical inductionReview of trigonometric propertiesCartesian geometryPolar coordinatesCompleting the squareLogarithmic functionsGreek symbols used in mathematicsVARIABLES, FUNCTIONS AND MAPPINGSVariables and functionsInverse functionsSome special functionsCurves and parametersFunctions of several real variablesSEQUENCES, LIMITS AND CONTINUITYSequencesLimits of sequencesThe number eLimits of functions -/ continuityFunctions of several variables -/ l
Content: Front Cover
Contents
Preface to the sixth edition
Preface to the first edition
Supplementary computer problems xv
1. Numbers, trigonometric functions and coordinate geometry
2. Variables, functions and mappings
3. Sequences, limits and continuity
4. Complex numbers and vectors
5 Differentiation of functions of one or more real variables
6. Exponential, logarithmic and hyperbolic functions and an introduction to complex functions
7. Fundamentals of integration
8. Systematic integration
9. Double integrals in Cartesian and plane polar coordinates 10. Matrices and linear transformations11. Scalars, vectors and fields
12. Series, Taylor's theorem and its uses
13. Differential equations and geometry
14. First-order differential equations
15. Higher-order linear differential equations
16. Fourier series
17. Numerical analysis
18. Probability and statistics
19. Symbolic algebraic manipulation by computer software
Answers
Reference list 1: Useful identities and constants
Reference list 2: Basic derivaties and rules
Reference list 3: Laplace transform pairs
Reference list 4: Short table of integrals
