Engineering Mathematics with Applications to Fire Engineering
eBook - ePub

Engineering Mathematics with Applications to Fire Engineering

  1. 366 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Engineering Mathematics with Applications to Fire Engineering

About this book

This book addresses direct application of mathematics to fire engineering problems

Gives background interpretation for included mathematical methods

Illustrates a step-by-step detailed solution to solving relevant problems

Includes pictorial representation of the problems

Discusses a comprehensive topic list in the realm of engineering mathematics topics including basic concepts of Algebra, Trigonometry and Statistics

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Yes, you can access Engineering Mathematics with Applications to Fire Engineering by Khalid Khan,Tony Lee Graham in PDF and/or ePUB format, as well as other popular books in Mathematics & Civil Engineering. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2018
Print ISBN
9781138098848
eBook ISBN
9781351597609
Topic
Mathematics
Subtopic
Civil Engineering
Index
Mathematics

1Review of Basic Concepts

1.1Degrees of Accuracy

1.1.1Rounding Numbers (Common Method)

In the real world, when dealing with numbers a degree of accuracy is needed. For example, if a piece of wood of a certain length was required, asking for a length of 123.732461 centimeters would not be sensible as such accurate measurements are not possible. What is more usual is some form of rounding. The method of rounding is commonly used in mathematical applications in science and engineering. It is the one generally taught in mathematics classes in high school. The method is also known as round-half-up. It works as follows:
  • Decide which is the last digit to keep.
  • Increase it by 1 if the next digit is 5 or more (this is called rounding up).
  • Leave it the same if the next digit is 4 or less (this is called rounding down).
Example 1.1
  • 3.044 rounded to hundredths is 3.04 (because the next digit, 4, is less than 5).
  • 3.045 rounded to hundredths is 3.05 (because the next digit, 5, is 5 or more).
  • 3.0447 rounded to hundredths is 3.04 (because the next digit, 4, is less than 5).
For negative numbers, one rounds the absolute value and reapplies the sign afterward.
Example 1.2
  • −2.1349...

Table of contents

  1. Cover
  2. Half Title Page
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Preface
  7. Author
  8. Chapter 1 Review of Basic Concepts
  9. Chapter 2 Introduction to Probability Theory
  10. Chapter 3 Vectors and Geometrical Applications
  11. Chapter 4 Determinants and Matrices
  12. Chapter 5 Complex Numbers
  13. Chapter 6 Introduction to Calculus
  14. Chapter 7 Ordinary Linear Differential Equations
  15. Chapter 8 Laplace Transforms
  16. Chapter 9 Fourier Series and Fourier Transforms
  17. Chapter 10 Multivariable Calculus
  18. Chapter 11 Vector Calculus
  19. Answers
  20. Index