Engineering Mathematics
Price: 2250.00 INR
ISBN:
9780198070894
Publication date:
19/05/2015
Paperback
Price: 2250.00 INR
ISBN:
9780198070894
Publication date:
19/05/2015
Paperback
First Edition
Rights: World Rights
First Edition
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.
First Edition
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
First Edition
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
First Edition
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