Bird's engineering mathematics /

Bird, J. O.,

Bird's engineering mathematics / John Bird. - 9th edition. - xv, 742 pages: illustrations (black and white) ; 28 cm

Previous edition: published as Engineering mathematics. 2017.

Section 1: Number and algebra
  • Revision of fractions, decimals and percentages
  • Indices, standard form and engineering notation
  • Binary, octal and hexadecimal numbers
  • Calculations and evaluation of formulae
  • Algebra
  • Further algebra
  • Partial fractions
  • Solving simple equations
  • Transposition of formulae
  • Solving simultaneous equations
  • Solving quadratic equations
  • Inequalities
  • Logarithms
  • Exponential functions
  • Number sequences
  • The binomial series. Section 2: Trigonometry
  • Introduction to trigonometry
  • Trigonometric waveforms
  • Cartesian and polar co-ordinates
  • Triangles and some practical applications
  • Trigonometric identities and equations
  • Compound angles. Section 3: Areas and volumes
  • Areas of common shapes
  • The circle and its properties
  • Volumes and surface areas of common solids
  • Irregular areas and volumes and mean values of waveforms. Section 4: Graphs
  • Straight line graphs
  • Reduction of non-linear laws to linear form
  • Graphs with logarithmic scales
  • Graphical solution of equations
  • Functions and their curves. Section 5: Complex numbers
  • Complex numbers
  • De Moivre’s theorem. Section 6: Vectors
  • Vectors
  • Methods of adding alternating waveforms. Section 7: Differential calculus
  • Introduction to differentiation
  • Methods of differentiation
  • Some applications of differentiation
  • Solving equations by Newton's methods
  • Maclaurin’s series
  • Differentiation of parametric equations
  • Differentiation of implicit functions
  • Logarithmic differentiation. Section 8: Integral calculus
  • Standard integration
  • Integration using algebraic substitutions
  • Integration using trigonometric substitutions
  • Integration using partial fractions
  • The t = tan θ/2 substitution
  • Integration by parts
  • Numerical integration
  • Areas under and between curves
  • Mean and root mean square values
  • Volumes and solids of revolution
  • Centroids of simple shapes
  • Second moments of area. Section 9: Differential equations
  • Introduction to differential equations. Section 10: Further number and algebra
  • Boolean algebra and logic circuits
  • The theory of matrices and determinants
  • The solution of simultaneous equations by matrices and determinants. Section 11: Statistics
  • Presentation of statistical data
  • Mean, median, mode and standard deviation
  • Probability
  • The binomial and Poisson distribution
  • The normal distribution
  • Linear correlation
  • Linear regression
  • Sampling and estimation theories
  • List of essential formulae
  • Answers to Practice Exercises

    Now in its ninth edition, Bird’s Engineering Mathematics has helped thousands of students to succeed in their exams. Mathematical theories are explained in a straightforward manner, supported by practical engineering examples and applications to ensure that readers can relate theory to practice. Some 1,300 engineering situations/problems have been ‘flagged-up’ to help demonstrate that engineering cannot be fully understood without a good knowledge of mathematics. The extensive and thorough topic coverage makes this a great text for a range of level 2 and 3 engineering courses – such as for aeronautical, construction, electrical, electronic, mechanical, manufacturing engineering and vehicle technology – including for BTEC First, National and Diploma syllabuses, City & Guilds Technician Certificate and Diploma syllabuses, and even for GCSE and A-level revision.

    9780367643782

    GBC113381 bnb

    020094973 Uk


    Engineering mathematics.
    Engineering mathematics--Problems, exercises, etc.

    mathematics.

    620.00151