# Engineering Mathematics

Price: 725.00 INR

**ISBN: **

9780198070894

**Publication date: **

19/05/2015

Paperback

1036 pages

280.0x216.0mm

Price: 725.00 INR

**ISBN: **

9780198070894

**Publication date: **

19/05/2015

Paperback

1036 pages

280.0x216.0mm

**Suitable for: **Engineering Mathematics is a textbook for undergraduate students of all streams of engineering. This book covers all the topics taught in mathematics in different semesters in the B.Tech curriculum.

**Rights: ** World Rights

Description

Engineering Mathematics is a textbook for undergraduate students of all streams of engineering. This book covers all the topics taught in mathematics in different semesters in the B.Tech curriculum.

Beginning with the basics, the book first introduces mathematics and its nuances to the students and explains the difference between applied mathematics and engineering mathematics. Fundamental topics such as sequence and series and matrices are discussed with the applications to engineering problems. Other important topics such as three-dimensional geometry, functions of single variable and several variables, differential calculus, integral calculus, Fourier series, Fourier transform, Fourier integrals, ordinary differential equations, partial differential equations, special functions, vector calculus, complex analysis, and Laplace transform have been discussed in detail. Separate chapters are dedicated to probability, statistics, numerical methods, and discrete mathematics. Most of the chapters comprise sections on applications to engineering problems. There are separate chapters discussing the applications of the mathematical theorems and numerical methods to engineering problems.

Care has been taken to provide abundant solved examples, review questions, numerical exercises, and multiple choice questions to ensure that students get enough practice.

Table of contents

Chapter 1: Scope of Engineering Mathematics

Chapter 2: Sequences and Series

Chapter 3: Theory of Matrices

Chapter 4: Applications of Matrices to Engineering Problems

Chapter 5: Three-dimensional Geometry

Chapter 6: Functions of a Single Variable

Chapter 7: Functions of Several Variables

Chapter 8: Applications of Differential Calculus

Chapter 9: Integral Calculus

Chapter 10: Applications of Integral Calculus

Chapter 11: Fourier Series

Chapter 12: Ordinary Differential Equations

Chapter 13: Applications of Ordinary Differential Equations

Chapter 14: Partial Differential Equations

Chapter 15: Applications of Partial Differential Equations to Problems Related to Science and Engineering

Chapter 16: Special Functions

Chapter 17: Vector Calculus

Chapter 18: Complex Analysis

Chapter 19: Fourier Integrals

Chapter 20: Fourier Transform

Chapter 21: Laplace Transform and its Application

Chapter 22: z-Transform and its Applications

Chapter 23: Probability Theory and its Applications

Chapter 24: Statistical Techniques and its Applications

Chapter 25: Discrete Mathematics and its Applications

Chapter 26: Numerical Methods

Features

- Interesting insights into engineering mathematics through lucid theory
- Separate chapters on the applications to engineering problems discuss how the mathematical theorems are applied in real-world problems
- Interspersed solved examples and illustrations throughout the book, with some demarcated with respect to various engineering disciplines such as neuroscience, biotechnology, radio physics, etc. apart from regular engineering disciplines
- Numerous section review exercises are disseminated throughout the chapters
- MCQs (with answers) and review questions are given at the end of each chapter
- Online Resources
- For faculty
- Solutions manual for exercise problems
- For Students
- Answers to Section Review exercises
- Tables for calculation

Description

Engineering Mathematics is a textbook for undergraduate students of all streams of engineering. This book covers all the topics taught in mathematics in different semesters in the B.Tech curriculum.

Beginning with the basics, the book first introduces mathematics and its nuances to the students and explains the difference between applied mathematics and engineering mathematics. Fundamental topics such as sequence and series and matrices are discussed with the applications to engineering problems. Other important topics such as three-dimensional geometry, functions of single variable and several variables, differential calculus, integral calculus, Fourier series, Fourier transform, Fourier integrals, ordinary differential equations, partial differential equations, special functions, vector calculus, complex analysis, and Laplace transform have been discussed in detail. Separate chapters are dedicated to probability, statistics, numerical methods, and discrete mathematics. Most of the chapters comprise sections on applications to engineering problems. There are separate chapters discussing the applications of the mathematical theorems and numerical methods to engineering problems.

Care has been taken to provide abundant solved examples, review questions, numerical exercises, and multiple choice questions to ensure that students get enough practice.

Read MoreTable of contents

Chapter 1: Scope of Engineering Mathematics

Chapter 2: Sequences and Series

Chapter 3: Theory of Matrices

Chapter 4: Applications of Matrices to Engineering Problems

Chapter 5: Three-dimensional Geometry

Chapter 6: Functions of a Single Variable

Chapter 7: Functions of Several Variables

Chapter 8: Applications of Differential Calculus

Chapter 9: Integral Calculus

Chapter 10: Applications of Integral Calculus

Chapter 11: Fourier Series

Chapter 12: Ordinary Differential Equations

Chapter 13: Applications of Ordinary Differential Equations

Chapter 14: Partial Differential Equations

Chapter 15: Applications of Partial Differential Equations to Problems Related to Science and Engineering

Chapter 16: Special Functions

Chapter 17: Vector Calculus

Chapter 18: Complex Analysis

Chapter 19: Fourier Integrals

Chapter 20: Fourier Transform

Chapter 21: Laplace Transform and its Application

Chapter 22: z-Transform and its Applications

Chapter 23: Probability Theory and its Applications

Chapter 24: Statistical Techniques and its Applications

Chapter 25: Discrete Mathematics and its Applications

Chapter 26: Numerical Methods