Engineering Mathematics Through Applications
eBook - PDF

Engineering Mathematics Through Applications

,
  1. 944 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Engineering Mathematics Through Applications

,

About this book

This popular, world-wide selling textbook teaches engineering mathematics in a step-by-step fashion and uniquely through engineering examples and exercises which apply the techniques right from their introduction. This contextual use of mathematics is highly motivating, as with every topic and each new page students see the importance and relevance of mathematics in engineering. The examples are taken from mechanics, aerodynamics, electronics, engineering, fluid dynamics and other areas. While being general and accessible for all students, they also highlight how mathematics works in any individual's engineering discipline. The material is often praised for its careful pace, and the author pauses to ask questions to keep students reflecting. Proof of mathematical results is kept to a minimum. Instead the book develops learning by investigating results, observing patterns, visualizing graphs and answering questions using technology. This textbook is ideal for first year undergraduates and those on pre-degree courses in Engineering (all disciplines) and Science. New to this Edition:
- Fully revised and improved on the basis of student feedback
- New sections
- More examples, more exam questions
- Vignettes and photos of key mathematicians

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CHAPTER 
1
Engineering 
Formulae
SECTION 
A 
Substitution 
and 
transposition
53

Evaluate 
formulae

Solve 
equations
SECTION 
B 
Transposing 
engineering 
formulae
59

Transpose 
and 
evaluate 
formulae
SECTION 
C 
Indices
66

Use 
the 
laws 
of 
indices 
to 
simplify 
expressions
SECTION 
D 
Dimensional 
analysis
69

Check 
equations 
which 
involve 
physical 
quantities
SECTION 
E 
Expansion 
of 
brackets
73

Expand 
brackets
SECTION 
F 
Factorization
78

Factorize 
simple 
expressions

Factorize 
quadratic 
expressions
SECTION 
G 
Quadratic 
equations
86

Solve 
quadratic 
equations 
by 
factorization

Solve 
quadratic 
equations 
by 
formula
SECTION 
H 
Simultaneous 
equations
90

Solve 
linear 
simultaneous 
equations
52

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Acknowledgements
  5. Dedication
  6. Summary of Contents
  7. Contents
  8. Note to the Student
  9. Preface to Second Edition
  10. Important Formulae and Methods
  11. Introduction: Arithmetic for Engineers
  12. 1. Engineering Formulae
  13. 2. Visualizing Engineering Formulae
  14. 3. Functions in Engineering
  15. 4. Trigonometry and Waveforms
  16. 5. Logarithmic, Exponential and Hyperbolic Functions
  17. 6. Differentiation
  18. 7. Engineering Applications of Differentiation
  19. 8. Integration
  20. 9. Engineering Applications of Integration
  21. 10. Complex Numbers
  22. 11. Matrices
  23. 12. Vectors
  24. 13. First Order Differential Equations
  25. 14. Second Order Linear Differential Equations
  26. 15. Partial Differentiation
  27. 16. Probability and Statistics
  28. Solutions
  29. Appendix: Standard Normal Distribution Table
  30. Index