# Pure mathematics for advanced level / B.D. Bunday, H. Mulholland

- Author:
- Bunday, Brian D.
- Published:
- London : Butterworths, 1983.
- Edition:
- Second edition.
- Physical Description:
- 1 online resource (xiii, 511 pages)
- Additional Creators:
- Mulholland, H. (Henry)
- Access Online:
- ezaccess.libraries.psu.edu

- Contents:
- Front Cover; Pure Mathematics for Advanced Level; Copyright Page; Preface to the second edition; Preface to the first edition; Table of Contents; Chapter 1 Operations with real numbers; 1.1 The real numbers; 1.2 Equations; 1.3 Elimination; 1.4 Inequalities; 1.5 The remainder and factor theorems; 1.6 Partial fractions; 1.7 Indices; 1.8 Logarithms; 1.9 Equations in which the unknown is an index; Chapter 2. Finite sequences and series; 2.1 Sequences and series; 2.2 The arithmetic sequence and series; 2.3 The finite geometric sequence and series; 2.4 The infinite geometric series., Chapter 3. The binomial theorem3.1 The binomial theorem for a positive integral index; 3.2 Proof of the binomial theorem when n is a positive integer; 3.3 The binomial theorem when n is not a positive integer; 3.4 Mathematical induction; Chapter 4. Complex numbers; 4.1 Introduction; 4.2 The rules for the manipulation of complex numbers; 4.3 The geometrical representation of complex numbers; 4.4 The geometry of complex numbers; 4.5 The cube roots of unity; Chapter 5. The quadratic function and the quadratic equation; 5.1 The general quadratic equation; 5.2 The quadratic function., Chapter 10. Some techniques of differentiation10.1 Introduction; 10.2 Differentiation of a constant; 10.3 Differentiation of the sum or difference of functions; 10.4 Differentiation of a product; 10.5 Differentiation of a quotient; 10.6 Differentiation of the trigonometric functions; 10.7 Second and higher derivatives; 10.8 Differentiation of a function of a function; 10.9 The derivative of xn, where n is negative or a fraction; 10.10 Differentiation of inverse functions; 10.11 Differentiation of implicit functions; 10.12 Differentiation from parametric equations; 10.13 List of standard forms., 5.3 The relation between the roots of a quadratic equation and the coefficientsChapter 6. Properties of the trigonometric functions; 6.1 The measurement of angle; 6.2 The trigonometric ratios for an acute angle; 6.3 The trigonometric ratios for any angle; 6.4 The graphs of the trigonometric functions; 6.5 The addition formulae; 6.6 Multiple and submultiple angle formulae; 6.7 The factor formulae; 6.8 The function acosθ + bsinθ; 6.9 The inverse trigonometric functions; 6.10 Small angles; Chapter 7. Trigonometric equations; 7.1 The general expression for angles with a given trigonometric ratio., and 7.2 Trigonometric equations involving different ratios of the same angle7.3 Trigonometric equations involving multiple angles; 7.4 The equation acosθ ± bsinθ = c; Chapter 8. The solution of triangles; 8.1 The sine formula; 8.2 The cosine formula; 8.3 The area of a triangle; 8.4 Miscellaneous applications; Chapter 9. The fundamental ideas of the differential calculus; 9.1 Functions; 9.2 Graphical representation of a function; 9.3 The rate of change of a function; 9.4 Limits and limit notation; 9.5 The calculation of the derivative for some common functions.
- Summary:
- Pure Mathematics for Advanced Level.
- Subject(s):
- Genre(s):
- ISBN:
- 9781483106137 (electronic bk.), 1483106136 (electronic bk.), 0408709588, and 9780408709583
- Note:
- With answers.

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