Engineering Mathematics

著者

    • Bird, John

書誌事項

Engineering Mathematics

John Bird

Newnes, 2003

4th ed

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注記

Includes index

内容説明・目次

内容説明

"Engineering Mathematics" is a comprehensive textbook for vocational courses and foundation modules at degree level. John Bird's approach, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities, and can be worked through at the student's own pace. Theory is kept to a minimum, placing a firm emphasis on problem-solving skills, and making this a thoroughly practical introduction to the core mathematics needed for engineering studies and practice. The book presents a logical topic progression, rather than following the structure of a particular syllabus. However, coverage has been carefully matched to the two mathematics units within the new BTEC National specifications, and AVCE specifications. New sections on Boolean algebra, logic circuits matrices and determinants have been added to ensure full syllabus match. It includes: 900 worked examples, 1700 further problems, 234 multiple choice questions (answers provided), and 16 assessment papers - ideal for use as tests or homework. These are the only problems where answers are not provided in the book. Full worked solutions are available to lecturers. It includes a complete foundation mathematics course for engineering students. Student-friendly learn-through-examples method appeals to engineers. It includes 850 worked examples, 1500 problems (answers provided), 200 multiple choice questions, and 15 assessment papers.

目次

Preface. Number and algebra: Revision of fractions, decimals and percentages. Indices and standard form. Computer numbering systems. Calculations and evaluation of formulae. Assignment 1. Algebra. Further algebra. Partial fractions. Simple equations. Assignment 2. Simultaneous equations. Transposition of formulae. Quadratic equations. Logarithms. Assignment 3. Exponential functions. Number sequences. The binomial series. Solving equations by iterative methods. Assignment 4. Multiple choice questions on chapters 1 to 16. Mensuration: Areas of plane figures. The circle and its properties. Volumes and surface areas of common solids. Irregular areas and volumes and mean values of waveforms Assignment 5. Trigonometry: Introduction to trigonometry. Trigonometric waveforms. Cartesian and polar co-ordinates. Assignment 6. Triangles and some practical applications. Trigonometric identities and equations. Compound angles. Assignment 7. Multiple choice questions on chapters 17 to 26. Graphs: Straight line graphs. Reduction of non-linear laws to linear form. Graphs with logarithmic scales. Graphical solution of equations. Functions and their curves. Assignment 8. Vectors: Vectors. Combination of waveforms. Complex numbers: Complex numbers. De Moivre's theorem. Assignment 9. Statistics: Presentation of statistical data. Measures of central tendency and dispersion. Probability. The binomial and Poisson distribution. Assignment 10. The normal distribution. Linear correlation. Linear regression. Sampling and estimation theories. Assignment 11. Multiple choice questions on chapters 27 to 43. Differential Calculus: Introduction to differentiation. Methods of differentiation. Some applications of differentiation. Assignment 12. Integral Calculus: Standard integration. Integration using algebraic substitutions. Integration using trigonometric substitutions. Assignment 13. Integration using partial fractions. The t=tan(theta/2) substitution. Integration by parts. Numerical integration. Assignment 14. Areas under and between curves. Mean and root mean square values. Volumes of solids of revolution. Centroids of simple shapes. Second moments of area. Assignment 15. Further number and algebra: Boolean algebra and logic circuits. The theory of matrices and determinants. The solution of simultaneous equations by matrices and determinants. Assignment 16. Multiple choice questions on chapters 44 to 61. Answers to multiple choice questions. Index.

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詳細情報

  • NII書誌ID(NCID)
    BA73617220
  • ISBN
    • 0750657766
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Oxford [England]
  • ページ数/冊数
    xii, 531 p.
  • 大きさ
    25 cm
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