Engineering Mathematics Through Applications 2nd Edition by Kuldeep Singh – Ebook PDF Instant Download/Delivery: 023027479X, 9780230274792
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Product details:
ISBN 10: 023027479X
ISBN 13: 9780230274792
Author: Kuldeep Singh
This popular, world-wide selling textbook teaches engineering mathematics in a step-by-step fashion and uniquely through engineering examples and exercises which apply the techniques right from their introduction. This contextual use of mathematics is highly motivating, as with every topic and each new page students see the importance and relevance of mathematics in engineering. The examples are taken from mechanics, aerodynamics, electronics, engineering, fluid dynamics and other areas. While being general and accessible for all students, they also highlight how mathematics works in any individual’s engineering discipline. The material is often praised for its careful pace, and the author pauses to ask questions to keep students reflecting. Proof of mathematical results is kept to a minimum. Instead the book develops learning by investigating results, observing patterns, visualizing graphs and answering questions using technology. This textbook is ideal for first year undergraduates and those on pre-degree courses in Engineering (all disciplines) and Science. New to this Edition: – Fully revised and improved on the basis of student feedback – New sections – More examples, more exam questions – Vignettes and photos of key mathematicians
Table of contents:
1. Engineering Formulae
Substitution and transposition
Transposing engineering formulae
Indices
Dimensional analysis
Expansion of brackets
Factorization
Quadratic equations
Simultaneous equations
2. Visualizing Engineering Formulae
Graphs
Applications of graphs
Quadratic graphs
Quadratics revisited
Further graphs
Binomial expansion
3. Functions in Engineering
Concepts of functions
Inverse functions
Graphs of functions
Combinations of functions
Limits of functions
Modulus function
4. Trigonometry and Waveforms
Trigonometric functions
Angles and graphs
Trigonometric equations
Trigonometric rules
Radians
Wave theory
Trigonometric identities
Applications of identities
Conversion
5. Logarithmic, Exponential and Hyperbolic Functions
Indices revisited
The exponential function
The logarithmic function
Applications of logarithms
Hyperbolic functions
6. Differentiation
The derivative
Derivatives of functions
Chain rule revisited
Product and quotient rules
Higher derivatives
Parametric differentiation
Implicit and logarithmic differentiation
7. Engineering Applications of Differentiation
Curve sketching
Optimization problems
First derivative test
Applications to kinematics
Tangents and normals
Series expansion
Binomial revisited
An introduction to infinite series
Numerical solution of equations
8. Integration
Introduction to integration
Rules of integration
Integration by substitution
Applications of integration
Integration by parts
Algebraic fractions
Integration of algebraic fractions
Integration by substitution revisited
Trigonometric techniques for integration
9. Engineering Applications of Integration
Trapezium rule
Further numerical integration
Engineering applications
Applications in mechanics
Miscellaneous applications of integration
10. Complex Numbers
Arithmetic of complex numbers
Representation of complex numbers
Multiplication and division in polar form
Powers and roots of complex numbers
Exponential form of complex numbers
11. Matrices
Manipulation of matrices
Applications
3×3 matrices
Gaussian elimination
Linear equations
Eigenvalues and eigenvectors
Diagonalization
12. Vectors
Vector representation
Vectors in Cartesian co-ordinates
Three-dimensional vectors
Scalar products
Vector products
13. First Order Differential Equations
Solving differential equations
Using the integrating factor
Applications to electrical principles
Further engineering applications
Euler’s numerical method
Improved Euler’s method
Fourth order Runge–Kutta
14. Second Order Linear Differential Equations
Homogeneous differential equations
Engineering applications
Non-homogeneous (inhomogeneous) differential equations
Particular solutions
15. Partial Differentiation
Partial derivatives
Applications
Optimization
16. Probability and Statistics
Data representation
Data summaries
Probability rules
Permutations and combinations
Binomial distribution
Properties of discrete random variables
Properties and applications of continuous random variables
Normal distribution
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Tags: Kuldeep Singh, Engineering, Mathematics, Applications