Higher Engineering Mathematics

8. New Auflage 2017
ISBN: 978-1-138-67357-1
Verlag: Taylor & Francis Ltd

Buch, Englisch, 906 Seiten, Format (B × H): 217 mm x 277 mm, Gewicht: 2533 g

Now in its eighth edition, Higher Engineering Mathematics has helped thousands of students succeed in their exams. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced engineering mathematics that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper-level vocational courses and for undergraduate degree courses. It is also supported by a fully updated companion website with resources for both students and lecturers. It has full solutions to all 2,000 further questions contained in the 277 practice exercises.

Autoren/Hrsg.

Bird, John

Fachgebiete

• Technische Wissenschaften Technik Allgemein Technik: Allgemeines
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface

Syllabus guidance

Section A Number and algebra

1 Algebra

2 Partial fractions

3 Logarithms

4 Exponential functions

5 Inequalities

6 Arithmetic and geometric progressions

7 The binomial series

8 Maclaurin’s series

9 Solving equations by iterative methods

10 Binary, octal and hexadecimal numbers

11 Boolean algebra and logic circuits

Section B Geometry and trigonometry

12 Introduction to trigonometry

13 Cartesian and polar co-ordinates

14 The circle and its properties

15 Trigonometric waveforms

16 Hyperbolic functions

17 Trigonometric identities and equations

18 The relationship between trigonometric and

hyperbolic functions

19 Compound angles

Section C Graphs

20 Functions and their curves

21 Irregular areas, volumes and mean values of waveforms

Section D Complex numbers

22 Complex numbers

23 De Moivre’s theorem

Section E Matrices and determinants

24 The theory of matrices and determinants

25 Applications of matrices and determinants

Section F Vector geometry 303

26 Vectors

27 Methods of adding alternating waveforms

28 Scalar and vector products

Section G Introduction to calculus

29 Methods of differentiation

30 Some applications of differentiation

31 Standard integration

32 Some applications of integration

33 Introduction to differential equations

Section H Further differential calculus

34 Differentiation of parametric equations

35 Differentiation of implicit functions

36 Logarithmic differentiation

37 Differentiation of hyperbolic functions

38 Differentiation of inverse trigonometric and hyperbolic functions

39 Partial differentiation

40 Total differential, rates of change and small changes

41 Maxima, minima and saddle points for functions of two

Über Autor(innen)

John Bird (BSc(Hons), CMath, CEng, CSci, FITE, FIMA, FCollT) is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, UK. More recently he has combined freelance lecturing and examining, and is the author of over 130 textbooks on engineering and mathematical subjects with worldwide sales of one million copies. He is currently lecturing at the Defence School of Marine Engineering in the Defence College of Technical Training at HMS Sultan, Gosport, Hampshire, UK.