Download Higher Engineering Mathematics Seventh Edition By John Bird

Introduction

It is probably true to say that there is no branch of engineering, physics, economics, chemistry or computer Engineering which does not require the understanding of the basic laws of algebra, the laws of indices, thiamin pulsation of brackets, the ability to factories and the laws of precedence. This then leads to the   solve simple, simultaneous and quadratic equations which occur so often. The study of algebra also revolves around using and manipulating polynomials. Polynomials are used in engineering, computer programming, software engineering, in management, and in business. Mathematicians, statisticians and engineers of all sciences employ the use of polynomials to solve problems; among them are aerospace engineers, chemical engineers, civil engineers, electrical engineers, environmental engineers, industrial engineers, materials engineers, mechanical engineers and nuclear engineers. The factor and remainder theorems are also employed in engineering software and electronic mathematical applications, through which polynomials of higher degrees and longer arithmetic structures are divided without any complexity. The study of algebra, equations, polynomial division and the factor and remainder theorems is therefore of some considerable importance in engineering.

Table of Content

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

20 Functions and their curves

21 Irregular areas, volumes and mean values of

Waveforms

22 Complex numbers

23 De Moivre’s theorem

24 The theory of matrices and determinants

25 Applications of matrices and determinants

26 Vectors

27 Methods of adding alternating waveforms

28 Scalar and vector products

29 Methods of differentiation

30 Some applications of differentiation

31 Differentiation of parametric equations

32 Differentiation of implicit functions

33 Logarithmic differentiation

34 Differentiation of hyperbolic functions

35 Differentiation of inverse trigonometric and

hyperbolic functions

36 Partial differentiation

37 Total differential, rates of change and small

changes

38 Maxima, minima and saddle points for functions

of two variables

Standard integration

40 Some applications of integration

41 Integration using algebraic substitutions

42 Integration using trigonometric and hyperbolic

substitutions

43 Integration using partial fractions

 

 

 

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