Higher Engineering Mathematics [electronic resource].
- John Bird
- Hoboken : Taylor and Francis, 2014.
- 7th ed.
- Physical Description:
- 1 online resource (2,841 pages)
- Cover; Half Title; Dedication; Title Page; Copyright Page; Table of Contents; Preface; Syllabus guidance; Section A: Number and algebra; 1. Algebra; 1.1 Introduction; 1.2 Revision of basic laws; 1.3 Revision of equations; 1.4 Polynomial division; 1.5 The factor theorem; 1.6 The remainder theorem; 2. Partial fractions; 2.1 Introduction to partial fractions; 2.2 Worked problems on partial fractions with linear factors; 2.3 Worked problems on partial fractions with repeated linear factors; 2.4 Worked problems on partial fractions with quadratic factors; 3. Logarithms.
3.1 Introduction to logarithms3.2 Laws of logarithms; 3.3 Indicial equations; 3.4 Graphs of logarithmic functions; 4. Exponential functions; 4.1 Introduction to exponential functions; 4.2 The power series for ex; 4.3 Graphs of exponential functions; 4.4 Napierian logarithms; 4.5 Laws of growth and decay; 4.6 Reduction of exponential laws to linear form; 5. Inequalities; 5.1 Introduction to inequalities; 5.2 Simple inequalities; 5.3 Inequalities involving a modulus; 5.4 Inequalities involving quotients; 5.5 Inequalities involving square functions; 5.6 Quadratic inequalities; Revision Test 1.
6. Arithmetic and geometric progressions6.1 Arithmetic progressions; 6.2 Worked problems on arithmetic progressions; 6.3 Further worked problems on arithmetic progressions; 6.4 Geometric progressions; 6.5 Worked problems on geometric progressions; 6.6 Further worked problems on geometric progressions; 7. The binomial series; 7.1 Pascal's triangle; 7.2 The binomial series; 7.3 Worked problems on the binomial series; 7.4 Further worked problems on the binomial series; 7.5 Practical problems involving the binomial theorem; 8. Maclaurin's series; 8.1 Introduction.
8.2 Derivation of Maclaurin's theorem8.3 Conditions of Maclaurin's series; 8.4 Worked problems on Maclaurin's series; 8.5 Numerical integration using Maclaurin's series; 8.6 Limiting values; Revision Test 2; 9. Solving equations by iterative methods; 9.1 Introduction to iterative methods; 9.2 The bisection method; 9.3 An algebraic method of successive approximations; 9.4 The Newton-Raphson method; 10. Binary, octal and hexadecimal numbers; 10.1 Introduction; 10.2 Binary numbers; 10.3 Octal numbers; 10.4 Hexadecimal numbers; 11. Boolean algebra and logic circuits.
11.1 Boolean algebra and switching circuits11.2 Simplifying Boolean expressions; 11.3 Laws and rules of Boolean algebra; 11.4 De Morgan's laws; 11.5 Karnaugh maps; 11.6 Logic circuits; 11.7 Universal logic gates; Revision Test 3; Section B: Geometry and trigonometry; 12. Introduction to trigonometry; 12.1 Trigonometry; 12.2 The theorem of Pythagoras; 12.3 Trigonometric ratios of acute angles; 12.4 Evaluating trigonometric ratios; 12.5 Solution of right-angled triangles; 12.6 Angles of elevation and depression; 12.7 Sine and cosine rules; 12.8 Area of any triangle.
- A practical introduction to the core mathematics principles required at higher engineering levelJohn Bird's approach to mathematics, based on numerous worked examples and interactive problems, is ideal for vocational students that require an advanced textbook. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced mathematics engineering that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper level vocational courses. Now in.
- 12.9 Worked problems on the solution of triangles and finding their areas.
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