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Bird's Engineering Mathematics

Autor John Bird, Don Shearman, Merryn Horrocks
en Limba Engleză Paperback – 8 feb 2027
Now in its tenth edition, Bird’s Engineering Mathematics has helped thousands of students to succeed in their studies. Mathematical theories are explained in a straightforward manner, supported by practical engineering examples and applications to ensure that readers can relate theory to practice. Learning by example is at the heart of the book, which contains over 1050 fully worked problems and a further 2000 practice problems.
Each section commences with a real-world depth case study from industry, and a related problem is posed that the students will be able to answer at the conclusion of the section. The content has been restructured to better illustrate the connections between topics, there is a new focus on numerical processing and a new section on modern functional analysis has been added.
The extensive and thorough topic coverage makes this a great text for a range of upper secondary, tertiary and vocational engineering courses - such as for aeronautical, civil, construction, environmental, electrical, electronic, mechanical, manufacturing engineering and vehicle technology.
The instructor and student resources at www.routledge.com/cw/bird provide full solutions for all 2,000 further questions, lists of essential formulae, multiple-choice tests, and illustrations, as well as full solutions to revision tests for course instructors.
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Specificații

ISBN-13: 9781041065340
ISBN-10: 1041065345
Pagini: 768
Ilustrații: 1263
Dimensiuni: 210 x 280 mm
Ediția:10
Editura: CRC Press
Colecția Routledge

Public țintă

Adult education, Further/Vocational Education, and Undergraduate Core

Cuprins

Section 1: Number and Algebra  1. Indices, Engineering Notation and Metric Conversions  2. Calculations and Evaluation of Formulae  3. Algebra  4. Solving Simple Equations  5. Transposition of Formulae  6. Solving Simultaneous Equations  7. Solving Quadratic Equations  8. Polynomial Division  Revision Test 1  Section 2: Functions and Graphs  9. Functions  10. Graphs and Linear Functions  11. Exponential Functions  12. Logarithmic Functions  13. Important Functions and Their Curves  14. Reduction of Non-Linear Laws to Linear Form  15. Graphs with Logarithmic Scales  16. Graphical Solution of Equations  17. Inequalities  Revision test 2  Section 3: Trigonometry  18. Introduction to Trigonometry  19. The Circle and its Properties  20. Trigonometric Functions  21. Triangles and Some Practical Applications  22. Cartesian and Polar Co-Ordinates  23. Trigonometric Identities and Equations  24. Compound Angles  Revision test 3  Section 4: Areas and Volumes  25. Areas of Common Shapes  26. Volumes and Surface Areas of Common Solids  27. Irregular Areas and Volumes and Mean Values of Waveforms  Revision test 4  Section 5: Sequences and Series  28. Number Sequences  29. The Binomial Series  Revision test 5  Section 6: Differential Calculus  30. Introduction to Differentiation  31. Methods of Differentiation  32. Some Applications of Differentiation  33. Solving Equations by Newton's Method  34. Maclaurin’s Series  35. Differentiation of Parametric Equations  36. Differentiation of Implicit Functions  37. Logarithmic Differentiation  Revision test 6  Section 7: Integral Calculus  38. Standard Integration  39. Integration by Substitution  40. Integration using Partial Fractions  41. Integration by Parts  42. Numerical Integration  43. Areas Under and Between Curves  44. Mean and Root Mean Square Values  45. Volumes of Solids of Revolution  46. Centroids of Simple Shapes  47. Second Moments of Area  Revision test 7  Section 8: Differential Equations  48. Introduction to Differential Equations  Revision test 8  Section 9: Complex Numbers  49. Complex Numbers  50. De Moivre’s Theorem  Revision test 9  Section 10: Linear Algebra  51. Vectors  52. Methods of Adding Alternating Waveforms  53. Matrices  54. Additional Matrix Methods  Revision test 10  Section 11: Logic  55. Change of Base  56. Boolean Algebra and Logic Circuits  Revision test 11  Section 12: Statistics  57. Presentation of Statistical Data  58. Mean, Median, Mode and Standard Deviation  59. Probability  60. The Binomial and Poisson Distribution   61. The Normal Distribution  62. Linear Correlation  63. Linear Regression  64. Sampling and Estimation Theories  Revision test 12  List of Essential Formulae  Answers to Practice Exercises  Index
 

Notă biografică

John Bird has many years’ experience of teaching, lecturing, instructing, training, educating and planning of trainee engineers’ studies. He is author of a dozen other Routledge titles including Bird's Engineering Mathematics, Bird's Higher Engineering Mathematics, Bird's Electrical Circuit Theory and Technology, and Bird's Electrical and Electronic Principles and Technology.
Don Shearman is a lecturer at the University of New South Wales, Australia, in the School of Mathematics and Statistics, He has been active in teaching mathematics and supporting mathematics education in the tertiary sector for over thirty years, especially introductory mathematics to incoming engineering students.
Merryn Horrocks was formerly the lead learning advisor for mathematics and statistics education support at the University of Western Sydney, Australia. She has taught mathematics to engineering students for the past seven years and was involved in training engineering staff in mathematical and statistical techniques throughout an extensive career in industry.

Descriere

This teaches by practical examples. Sections begin with a real-world depth case study and a related problem. It has been restructured to show the connections between topics, wit more on numerical processing and modern functional analysis. It is for upper secondary, tertiary and vocational engineering courses.