| About The Book Engineering Mathematics
(According to Gujarat Technological University Syllabus) This volume is primarily intended to serve as a basic text for students following introductory courses in all the branches of engineering. It will also be useful, as a reference text in applied mathematics, to engineers and scientists.
This well-organized and comprehensive text covers the complete syllabus of Gujarat Technological University (GTU), Ahmedabad.
The subject matter of the book is organized in two parts :
Part I (For B.E., First semester students)
Part II (For B.E., Second semester students)
Part I deals with the applications of differential calculus and partial differentiation, vector calculus and infinite series.
Part II provides discussion on the concepts of vector spaces, homogeneous system of equations, Cramers rule, orthogonality and orthonormal bases, and eigenvalues of a linear operator.
Numerous illustrative examples covering important models.
Unsolved problems for practice at the end of each section.
Answers to all exercises.
Question bank at the end of chapters.
Table of Contents:
Part I FOR SEMESTER 1
1. Differential Calculus and Its Applications
2. Integration and Its Applications
3. Infinite Series
4. Partial Differentiation and Its Applications
5. Multiple Integrals
6. Vector Calculus
Part II FOR SEMESTER 2
1. Vector Spaces
2. Matrices and Linear Systems
3. Linear Transformations
4. Inner Product Spaces and Orthogonality
5. Eigenvalues and Quadratic Forms