Engineering Mathematics
eBook - PDF

Engineering Mathematics

,
  1. 1,180 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Engineering Mathematics

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About this book

The best-selling introductory mathematics textbook for students on engineering and science degree and pre-degree courses. Sales stand at more than half a million copies world-wide. Its unique programmed approach really works! Many thousands of students have found that they understand and excel through using this book. It takes you through the mathematics in a step-by-step fashion with a wealth of examples and exercises. The text demands that you engage with it by asking you to complete steps that you should be able to manage from previous examples or knowledge you have acquired, while carefully introducing new steps. By working with the authors through the examples, you become proficient as you go. By the time you come to trying examples on your own, confidence is high. Aimed at undergraduates on Foundation and First Year degree programmes in all Engineering disciplines and Science. The Foundation section covers mathematics from GCSE onwards to allow for revision and gap-filling, and so means the book can be used for a range of abilities and all levels of access. New to this Edition:
- A general revision of the entire contents
- In Matrices an emphasis on eigenvalues and eigenvectors and the introduction of the Cayley–Hamilton theorem
- New review summaries plus a new easy reference to help check back when you need more help
- Key chapters improved yet further as a result of detailed student feedback

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Table of contents

  1. Summary of contents
  2. Contents
  3. Preface to the first edition
  4. Preface to the second edition
  5. Preface to the third edition
  6. Preface to the fourth edition
  7. Preface to the eighth edition
  8. How to use this book
  9. The Personal Tutor
  10. Useful background information
  11. PART I Foundation topics
  12. Programme F.1 Arithmetic
  13. Programme F.2 Introduction to algebra
  14. Programme F.3 Expressions and equations
  15. Programme F.4 Graphs
  16. Programme F.5 Linear equations
  17. Programme F.6 Polynomial equations
  18. Programme F.7 Binomials
  19. Programme F.8 Partial fractions
  20. Programme F.9
  21. Programme F.10 Functions
  22. Programme F.11 Trigonometric and exponential functions
  23. Programme F.12 Differentiation
  24. Programme F.13 Integration
  25. PART II
  26. Programme 1 Complex numbers 1
  27. Programme 2 Complex numbers 2
  28. Programme 3 Hyperbolic functions
  29. Programme 4 Determinants
  30. Programme 5 Matrices
  31. Programme 6 Vectors
  32. Programme 7 Differentiation
  33. Programme 8 Differentiation applications
  34. Programme 9 Tangents, normals and curvature
  35. Programme 10 Sequences
  36. Programme 11 Series 1
  37. Programme 12 Series 2
  38. Programme 13 Curves and curve fitting
  39. Programme 14 Partial differentiation 1
  40. Programme 15 Partial differentiation 2
  41. Programme 16 Integration 1
  42. Programme 17 Integration 2
  43. Programme 18 Reduction formulas
  44. Programme 19 Integration applications 1
  45. Programme 20 Integration applications 2
  46. Programme 21 Integration applications 3
  47. Programme 22 Approximate integration
  48. Programme 23 Polar coordinate systems
  49. Programme 24 Multiple integrals
  50. Programme 25 First-order differential equations
  51. Programme 26 Second-order differential equations
  52. Programme 27 Introduction to Laplace transforms
  53. Programme 28 Data handling and statistics
  54. Programme 29 Probability
  55. Answers
  56. Index