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**Understanding Engineering Mathematics ** written by
** Bill Cox **

This book contains most of the material covered in a typical first year mathematics course in an engineering or science programme. It devotes Chapters 1–10 to consolidating the foundations of basic algebra, elementary functions and calculusChapters 11–17 cover the range of more advanced topics that are normally treated in the first year, such As vectors and matrices, differential equations, partial differentiation and transform methods.

With widening participation in higher education, broader school curricula and the wide range of engineering programmes available, the challenges for both teachers and learners in engineering mathematics are now considerableAs a result, a substantial part of many first year engineering programmes is dedicated to consolidation of the basic mathematics material covered at pre-university levelHowever, individual students have widely varying backgrounds in mathematics and it is difficult for a single mathematics course to address everyone’s needsThis book is designed to help with this by covering the basics in a way that enables students and teachers to quickly identify the strengths and weaknesses of individual students and ‘top up’ where necessaryThe structure of the book is therefore somewhat different to the conventional textbook, and ‘To the student’ provides Some suggestions on how to use it.
** Title: ** Understanding Engineering Mathematics
** Edition: **
** Author(s): ** Bill Cox
** Publisher: ** Newnes
** Series: **
** Year: ** 2001
** Pages: ** 545
** Type: ** PDF
** Language: ** English
** ISBN: ** 9780750650984,9781417505562,0750650982
** Country: **

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**Understanding Engineering Mathematics ** written by
** Bill Cox **
cover the following topics.
**1. Number and Arithmetic**

1.1 Review

1.2 Revision

1.3 Reinforcement

1.4 Applications

Answers to reinforcement exercises
**2. Algebra**

2.1 Review

2.2 Revision

2.3 Reinforcement

2.4 Applications

Answers to reinforcement exercises
**3. Functions and Series**

3.1 Review

3.2 Revision

3.3 Reinforcement

3.4 Applications

Answers to reinforcement exercises
**4. Exponential and Logarithm Functions**

4.1 Review

4.2 Revision

4.3 Reinforcement

4.4 Applications

Answers to reinforcement exercises
**5. Geometry of Lines, Triangles and Circles**

5.1 Review

5.2 Revision

5.3 Reinforcement

5.4 Applications

Answers to reinforcement exercises
**6. Trigonometry**

6.1 Review

6.2 Revision

6.3 Reinforcement

6.4 Applications

Answers to reinforcement exercises
**7. Coordinate Geometry**

7.1 Review

7.2 Revision

7.3 Reinforcement

7.4 Applications

Answers to reinforcement exercises
**8. Techniques of Differentiation**

8.1 Review

8.2 Revision

8.3 Reinforcement

8.4 Applications

Answers to reinforcement exercises
**9. Techniques of Integration**

9.1 Review

9.2 Revision

9.3 Reinforcement

9.4 Applications

Answers to reinforcement exercises
**10. Applications of Differentiation and Integration**

10.1 Review

10.2 Revision

10.3 Reinforcement

10.4 Applications

Answers to reinforcement exercises
**11. vectors**

11.1 Introduction – representation of a vector quantity

11.2 Vectors as arrows

11.3 Addition and subtraction of vectors

11.4 Rectangular Cartesian coordinates in three dimensions

11.5 Distance in Cartesian coordinates

11.6 Direction cosines and ratios

11.7 Angle between two lines through the origin

11.8 Basis vectors

11.9 Properties of vectors

11.10 The scalar product of two vectors

11.11 The vector product of two vectors

11.12 Vector functions

11.13 Differentiation of vector functions

11.14 Reinforcement

11.15 Applications

11.16 Answers to reinforcement exercises
**12. Complex Numbers**

12.1 What are complex numbers?

12.2 The algebra of complex numbers

12.3 Complex variables and the Argand plane

12.4 Multiplication in polar form

12.5 Division in polar form

12.6 Exponential form of a complex number

12.7 De Moivre’s theorem for integer powers

12.8 De Moivre’s theorem for fractional powers

12.9 Reinforcement

12.10 Applications

12.11 Answers to reinforcement exercises
**13. Matrices and Determinants**

13.1 An overview of matrices and determinants

13.2 Definition of a matrix and its elements

13.3 Adding and multiplying matrices

13.4 Determinants

13.5 Cramer’s rule for solving a system of linear equations

13.6 The inverse matrix

13.7 Eigenvalues and eigenvectors

13.8 Reinforcement

13.9 Applications

13.10 Answers to reinforcement exercises
**14. Analysis for Engineers – Limits, Sequences, Iteration, Series and All That**

14.1 Continuity and irrational numbers

14.2 Limits

14.3 Some important limits

14.4 Continuity

14.5 The slope of a curve

14.6 Introduction to infinite series

14.7 Infinite sequences

14.8 Iteration

14.9 Infinite series

14.10 Tests for convergence

14.11 Infinite power series

14.12 Reinforcement

14.13 Applications

14.14 Answers to reinforcement exercises
**15. Ordinary Differential Equations**

15.1 Introduction

15.2 Definitions

15.3 First order equations – direct integration and separation of variables

15.4 Linear equations and integrating factors

15.5 Second order linear homogeneous differential equations

15.6 The inhomogeneous equation

15.7 Reinforcement

15.8 Applications

15.9 Answers to reinforcement exercises
**16. Functions of More than One Variable – Partial Differentiation**

16.1 Introduction

16.2 Function of two variables

16.3 Partial differentiation

16.4 Higher order derivatives

16.5 The total differential

16.6 Reinforcement

16.7 Applications

16.8 Answers to reinforcement exercises
**17. An Appreciation of Transform Methods**

17.1 Introduction

17.2 The Laplace transform

17.3 Laplace transforms of the elementary functions

17.4 Properties of the Laplace transform

17.5 The inverse Laplace transform

17.6 Solution of initial value problems by Laplace transform

17.7 Linear systems and the principle of superposition

17.8 Orthogonality relations for trigonometric functions

17.9 The Fourier series expansion

17.10 The Fourier coefficients

17.11 Reinforcement

17.12 Applications

17.13 Answers to reinforcement exercises

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- Differential Equacitons
- Fourier Analysis
- Linear Algebra
- Matrix Calculus
- Vector Analysis
- Tensor Calculus
- Probability Statistics
- Discrete Mathematics

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

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**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?