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ISBN 10: 0367643731
ISBN 13: 9780367643751
Author: John Bird
Higher Engineering Mathematics has helped thousands of students to succeed in their exams by developing problem-solving skills, It is supported by over 600 practical engineering examples and applications which relate theory to practice. The extensive and thorough topic coverage makes this a solid text for undergraduate and upper-level vocational courses. Its companion website provides resources for both students and lecturers, including lists of essential formulae, ands full solutions to all 2,000 further questions contained in the 277 practice exercises; and illustrations and answers to revision tests for adopting course instructors.
Bird Higher Engineering Mathematics 9th Table of contents:
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. Partial fractions with linear factors
2.3. Partial fractions with repeated linear factors
2.4. Partial fractions with quadratic factors
3. Logarithms
3.1. Introduction to logarithms
3.2. 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 exe^xex
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. The Binomial Series
5.1. Pascal’s triangle
5.2. The binomial series
5.3. Worked problems on the binomial series
5.4. Further worked problems on the binomial series
5.5. Practical problems involving the binomial theorem
6. Solving Equations by Iterative Methods
6.1. Introduction to iterative methods
6.2. The bisection method
6.3. An algebraic method of successive approximations
7. Boolean Algebra and Logic Circuits
7.1. Boolean algebra and switching circuits
7.2. Laws and rules of Boolean algebra
7.3. Simplifying Boolean expressions
7.4. De Morgan’s laws
7.5. Karnaugh maps
7.6. Logic circuits
7.7. Universal logic gates
Section B: Geometry and Trigonometry
8. Introduction to Trigonometry
8.1. Trigonometry
8.2. The theorem of Pythagoras
8.3. Trigonometric ratios of acute angles
8.4. Evaluating trigonometric ratios
8.5. Solution of right-angled triangles
8.6. Angles of elevation and depression
8.7. Sine and cosine rules
8.8. Area of any triangle
8.9. Worked problems on solving triangles
8.10. Further problems on triangles
8.11. Practical situations involving trigonometry
8.12. Further practical situations
9. Cartesian and Polar Coordinates
9.1. Introduction
9.2. Changing Cartesian to polar coordinates
9.3. Changing polar to Cartesian coordinates
9.4. Using Pol/Rec functions on calculators
10. The Circle and Its Properties
10.1. Introduction
10.2. Properties of circles
10.3. Radians and degrees
10.4. Arc length and area of circles/sectors
10.5. The equation of a circle
10.6. Linear and angular velocity
10.7. Centripetal force
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