Bird's Engineering Mathematics

10th Auflage
ISBN: 978-1-041-06534-0
Verlag: CRC Press

Buch, Englisch, 768 Seiten, Format (B × H): 210 mm x 280 mm

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.

Zielgruppe

Adult education, Further/Vocational Education, and Undergraduate Core

Autoren/Hrsg.

Bird, John

Shearman, Don

Horrocks, Merryn

Fachgebiete

• Technische Wissenschaften Energietechnik | Elektrotechnik Elektrotechnik
• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Bauingenieurwesen Bauingenieurwesen
• Technische Wissenschaften Technik Allgemein Technik: Allgemeines
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Enzyklopädien, Nachschlagewerke, Wörterbücher

Inhaltsverzeichnis

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

Über Autor(innen)

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.