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Higher Engineering Mathematics / Edition 5
     

Higher Engineering Mathematics / Edition 5

by John Bird
 

See All Formats & Editions

ISBN-10: 0750681527

ISBN-13: 9780750681520

Pub. Date: 12/28/2006

Publisher: Taylor & Francis

Includes:
• 1,000 Worked Examples
• 1,750 Further Problems
• 19 Assignments

John Bird’s approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student’s own pace. Basic mathematical theories are explained in

Overview

Includes:
• 1,000 Worked Examples
• 1,750 Further Problems
• 19 Assignments

John Bird’s approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student’s own pace. Basic mathematical theories are explained in the simplest of terms, supported by practical engineering examples and applications from a wide variety of engineering disciplines, to ensure the reader can relate the theory to actual engineering practice. This extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, Foundation Degrees, and HNC/D units.

An established text which has helped many thousands of students to gain exam success, now in its fifth edition Higher Engineering Mathematics has been further extended with new topics to maximise the book’s applicability for first year engineering degree students, and those following Foundation Degrees. New material includes: inequalities; differentiation of parametric equations; differentiation of hyperbolic functions; t = tan è/2 substitution; and homogeneous first order differential equations.

This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel, including the core unit Analytical Methods for Engineers, and the two specialist units Further Analytical Methods for Engineers and Engineering Mathematics in their entirety, common to both the electrical/electronic engineering and mechanical engineering pathways. A mapping grid is included showing precisely which topics are required for the learning outcomes of each unit, for ease of reference.

The book is supported by a suite of free web downloads:
* Introductory-level algebra: To enable students to revise basic algebra needed for engineering courses - available at http://books.elsevier.com/companions/0750681527
* Instructor's Manual: Featuring full worked solutions and mark scheme for all 19 assignments in the book and the remedial algebra assignment - available on http://www.textbooks.elsevier.com for lecturers only
* Extensive Solutions Manual: 640 pages featuring worked solutions for 1,000 of the further problems and exercises in the book - available on http://www.textbooks.elsevier.com for lecturers only

Product Details

ISBN-13:
9780750681520
Publisher:
Taylor & Francis
Publication date:
12/28/2006
Edition description:
Older Edition
Pages:
744
Product dimensions:
1.46(w) x 9.69(h) x 7.44(d)

Table of Contents

Introduction; Preface; Website information; Syllabus guidance; 1. Algebra; 2. Partial fractions; 3. Logarithms; 4. Exponential functions; 5. Inequalities; Revision Test 1; 6. Arithmetic and geometric progressions; 7. The binomial series; Revision Test 2; 8. Maclaurin’s series; 9. Solving equations by iterative methods; 10. Binary, octal and hexadecimal numbers; 11. Boolean algebra and logic circuits; Revision Test 3; 12. Introduction to trigonometry; 13. Cartesian and polar co-ordinates; 14. The circle and its properties; Revision Test 4; 15. Trigonometric waveforms; 16. Hyperbolic functions; 17. Trigonometric identities and equations; 18. The relationship between trigonometric and hyperbolic functions; 19. Compound angles; Revision Test 5; 20. Functions and their curves; 21. Irregular areas, volumes and mean values of waveforms; Revision Test 6; 22. Complex numbers; 23. De Moivre’s theorem; 24. The theory of matrices and determinants; 25. Applications of matrices and determinants; Revision Test 7; 26. Vectors; 27. Methods of adding alternating waveforms; 28. Scalar and vector products; Revision Test 8; 29. Methods of differentiation; 30. Some applications of differentiation; 31. Differentiation of parametric equations; 32. Differentiation of implicit functions; 33. Logarithmic differentiation; Revision Test 9; 34. Differentiation of hyperbolic functions; 35. Differentiation of inverse trigonometric and hyperbolic functions; 36. Partial differentiation; 37. Total differential, rates of change and small changes; 38. Maxima, minima and saddle points for functions of two variables; Revision Test 10; 39. Standard integration; 40. Some applications of integration; 41. Integration using algebraic substitutions; Revision Test 11; 42. Integration using trigonometric and hyperbolic substitutions; 43. Integration using partial fractions; 44. The t = tan substitution; Revision Test 12; 45. Integration by parts; 46. Reduction formulae; 47. Double and triple integrals; 48. Numerical integration; Revision Test 13; 49. Solution of first order differential equations by separation of variables; 50. Homogeneous first order differential equations; 51.Linear first order differential equations; 52. Numerical methods for first order differential equations; Revision Test 14; 53. First order differential equations of the form; 54. First order differential equations of the form; 55. Power series methods of solving ordinary differential equations; 56. An introduction to partial differential equations; Revision Test 15; 57. Presentation of statistical data; 58. Mean, median, mode and standard deviation; 59. Probability; Revision Test 16; 60. The binomial and Poisson distributions; 61. The normal distribution; 62. Linear correlation; 63. Linear regression; Revision Test 17; 64. Sampling and estimation theories; 65. Significance testing; 66. Chi-square and distribution-free tests; Revision Test 18; 67. Introduction to Laplace transforms; 68. Properties of Laplace transforms; 69. Inverse Laplace transforms; 70. The Laplace transform of the Heaviside function; 71. The solution of differential equations using Laplace transforms; 72. The solution of simultaneous differential equations using Laplace transforms; Revision Test 19; 73. Fourier series for periodic functions of period 2p; 74. Fourier series for a non-periodic function over period 2p; 75. Even and odd functions and half-range Fourier series ; 76. Fourier series over any range; 77. A numerical method of harmonic analysis; 78. The complex or exponential form of a Fourier series; Revision Test 20; Essential formulae; Answers to Practise Exercises; Index

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