0   checkout

no items in shopping cart

  • email
  • google-plus
  • twitter
  • facebook

Engineering Mathematics through Applications

This text teaches maths in a step-by-step fashion -- ideal for students on first-year engineering and pre-degree courses. - Hundreds of examples and exercises, the majority set in an applied engineering context so that you immediately see the purpose of what you are learning - Introductory chapter revises indices, fractions, decimals, percentages and ratios - Fully worked solutions to every problem on the companion website at www.palgrave.com/engineering/singh plus searchable glossary, e-index, extra exercises, extra content and more! view full description
$113.95

availability: out of stock

Click and Collect

Collection generally available next day - Please wait for confirmation from the store

Check Store Stock For:

Engineering Mathematics through Applications

Only stores with stock and within 100 km from your location are displayed
   

description

This text teaches maths in a step-by-step fashion – ideal for students on first-year engineering and pre-degree courses.

  • Hundreds of examples and exercises, the majority set in an applied engineering context so that you immediately see the purpose of what you are learning
  • Introductory chapter revises indices, fractions, decimals, percentages and ratios
  • Fully worked solutions to every problem on the companion website at www.palgrave.com/engineering/singh plus searchable glossary, e-index, extra exercises, extra content and more!

Contents

Acknowledgements
Note to the Student
Preface to Second Edition
Important Formulae and Methods

INTRODUCTION: Arithmetic for Engineers

  • Whole numbers
  • Indices
  • Numbers
  • Fractions
  • Arithmetic of fractions
  • Decimals
  • Powers of 10
  • Conversion
  • Arithmetical operations
  • Percentages
  • Ratios

1. Engineering Formulae

  • Substitution and transposition
  • Transposing engineering formulae
  • Indices
  • Dimensional analysis
  • Expansion of brackets
  • Factorization
  • Quadratic equations
  • Simultaneous equations

2. Visualizing Engineering

  • Formulae
  • Graphs
  • Applications of graphs
  • Quadratic graphs
  • Quadratics revisited
  • Further graphs
  • Binomial expansion

3. Functions in Engineering

  • Concepts of functions
  • Inverse functions
  • Graphs of functions
  • Combinations of functions
  • Limits of functions
  • Modulus function

4. Trigonometry and Waveforms

  • Trigonometric functions
  • Angles and graphs
  • Trigonometric equations
  • Trigonometric rules
  • Radians
  • Wave theory
  • Trigonometric identities
  • Applications of identities
  • Conversion

5. Logarithmic, Exponential and Hyperbolic Functions

  • Indices revisited
  • The exponential function
  • The logarithmic function
  • Applications of logarithms
  • Hyperbolic functions

6. Differentiation

  • The derivative
  • Derivatives of functions
  • Chain rule revisited
  • Product and quotient rules
  • Higher derivatives
  • Parametric differentiation
  • Implicit and logarithmic differentiation

7. Engineering Applications of Differentiation

  • Curve sketching
  • Optimization problems
  • First derivative test
  • Applications to kinematics
  • Tangents and normals
  • Series expansion
  • Binomial revisited
  • An introduction to infinite series
  • Numerical solution of equations

8. Integration

  • Introduction to integration
  • Rules of integration
  • Integration by substitution
  • Applications of integration
  • Integration by parts
  • Algebraic fractions
  • Integration of algebraic fractions
  • Integration by substitution revisited
  • Trigonometric techniques for integration

9. Engineering Applications of Integration

  • Trapezium rule
  • Further numerical integration
  • Engineering applications
  • Applications in mechanics
  • Miscellaneous applications of integration

10. Complex Numbers

  • Arithmetic of complex numbers
  • Representation of complex numbers
  • Multiplication and division in polar form
  • Powers and roots of complex numbers
  • Exponential form of complex numbers

11. Matrices

  • Manipulation of matrices
  • Applications
  • 3x3 matrices
  • Gaussian elimination
  • Linear equations
  • Eigenvalues and eigenvectors
  • Diagonalization

12. Vectors

  • Vector representation
  • Vectors in Cartesian co-ordinates
  • Three-dimensional vectors
  • Scalar products
  • Vector products

13. First Order Differential Equations

  • Solving differential equations
  • Using the integrating factor
  • Applications to electrical principles
  • Further engineering applications
  • Euler’s numerical method
  • Improved Euler’s method
  • Fourth order Runge–Kutta

14. Second Order Linear Differential Equations

  • Homogeneous differential equations
  • Engineering applications
  • Non-homogeneous (inhomogeneous) differential equations
  • Particular solution

15. Partial Differentiation

  • Partial derivatives
  • Applications
  • Optimization

16. Probability and Statistics

  • Data representation
  • Data summaries
  • Probability rules
  • Permutations and combinations
  • Binomial distribution
  • Properties of discrete random variables
  • Properties and applications of continuous random variables
  • Normal distribution

Solutions

Appendix: Standard Normal Distribution Table

Index

delivery

LocationEstimated Delivery Time
Metro Sydney, Melbourne, Brisbane & Canberra areas 2-4 business days
Metro Adelaide, Hobart and Perth areas 4-6 business days
Country areas 3-6 business days
Remote areas 7+ business days

For more details, please see our Delivery & Shipping page here

reviews

READ CUSTOMER REVIEWS

Rate this item

Quality *
Price *
Value *

write a review

* required

Tracking Information

ENTER YOUR TRACKING ORDER NUMBER

×

Notify Me When in Stock

* Required

×

login to add to wishlist

don't have an account? create one here