Higher Engineering Mathematics. Edition No. 6
Elsevier Science and Technology, April 2010, Pages: 752
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 a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, foundation degrees, and HNC/D units.
Now in its sixth edition, Higher Engineering Mathematics is an established textbook that has helped many thousands of students to gain exam success. It has been updated to maximise the book's suitability for first year engineering degree students and those following foundation degrees. This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel. As such it includes the core unit, Analytical Methods for Engineers, and two specialist units, Further Analytical Methods for Engineers and Engineering Mathematics, both of which are common to the electrical/electronic engineering and mechanical engineering pathways. For ease of reference a mapping grid is included that shows precisely which topics are required for the learning outcomes of each unit.
The book is supported by a suite of free web downloads:
. Introductory-level algebra: To enable students to revise the basic algebra needed for engineering courses - available at http://books.elsevier.com/companions/XXXXXXXXX
. Instructor's Manual: Featuring full worked solutions and mark schemes for all of the assignments in the book and the remedial algebra assignment - available at 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)
. Unique in introducing higher mathematical concepts from an engineering perspective, ensuring that readers understand what they need to do in order to turn theory into practice
. Fully mapped to BTEC Higher National Engineering and Foundation Degree unit specifications
. Free instructor's manual available online - contains worked solutions and a suggested mark scheme
Preface
Algebra
Partial fractions
Logarithms
Exponential functions
Hyperbolic functions
Arithmetic and geometric progressions
The binomial series
Maclaurin's series
Solving equations by iterative methods
Binary
octal and hexadecimal
Introduction to trigonometry
Cartesian and polar co-ordinates
The circle and its properties
Trigonometric waveforms
Trigonometric identities and equations
The relationship between trigonometric and hyperbolic functions
Compound angles
Functions and their curves
Irregular areas
volumes and mean values of waveforms
Complex numbers
De Moivre's theorem
The theory of matrices and determinants
The solution of simultaneous equations by matrices and determinants
Vectors
Methods of adding alternating waveforms
Scalar and vector products
Methods of differentiation
Some applications of differentiation
Differentiation of parametric equations
Differentiation of implicit functions
Logarithmic differentiation
Differentiation of hyperbolic functions
Differentiation of inverse trigonometric and hyperbolic functions
Partial differentiation
Total differential
rates of change and small changes
Maxima
minima and saddle points for functions of two variables
Standard integration
Some applications of integration
Integration using algebraic substitutions
Integration using trigonometric and hyperbolic substitutions
Integration using partial fractions
The t = __substitution
Integration by parts
Reduction formulae
Numerical integration
Solution of first order differential equations by separation of variables
Homogeneous first order differential equations
Linear first order differential equations
Numerical methods for first order differential equations
Second order differential equations of the form __
Second order differential equations of the form __
Power series methods of solving ordinary differential equations
An introduction to partial differential equations
Presentation of statistical data
Measures of central tendency and dispersion
Probability
The binomial and Poisson distributions
The normal distribution
Linear correlation
Linear regression
Introduction to Laplace transforms
Properties of Laplace transforms
Inverse Laplace transforms
The solution of differential equations using Laplace transforms
The solution of simultaneous differential equations using Laplace transforms
Fourier series for periodic functions of period 2p
Fourier series for a non-periodic function over range 2p
Even and odd functions and half-range Fourier series
Fourier series over any range
A numerical method of harmonic analysis
The complex or exponential form of a Fourier series
Essential formulae
Index
Bird, John.
<b>John Bird</b>, the author of over 100 textbooks on engineering and mathematical subjects, is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, U.K. More recently, he has combined freelance lecturing at Portsmouth University, with technical writing and Chief Examiner responsibilities for City and Guilds Telecommunication Principles and Mathematics, and examining for the International Baccalaureate Organisation. <b>John Bird</b> is currently a Senior Training Provider at the Royal Naval School of Marine Engineering in the Defence College of Marine and Air Engineering at H.M.S. Sultan, Gosport, Hampshire, U.K. The school, which serves the Royal Navy, is one of Europe's largest engineering training establishments.
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