Theory of Linear Algebra and Calculus

Description

The present book “Theory of Linear Algebra and Calculus” aims at providing a detailed account of the basic concepts of linear algebra and calculus that are needed to build a strong foundation for a student pursuing career in mathematics and engineering. It is primarily designed for B.Sc., B.A. and Engineering Courses, elucidating all the fundamental concepts in a manner that leaves no scope for illusion or confusion. The book exhaustively covers the subject matter and its applications in various fields of engineering and science and strikes a perfect balance between theory and practical techniques. The numerous high-graded solved examples provided in the book have been mainly taken from the authoritative textbooks and question papers of various university and competitive examinations which will facilitate easy understanding of the various skills necessary in solving the problems. In addition, these examples will acquaint the readers with the type of questions usually set at the examinations. Furthermore, practice exercises of multiple varieties have also been given, believing that they will help in quick revision and in gaining confidence in the understanding of the subject. Answers to these questions have been verified thoroughly. It is hoped that a thorough study of this book would enable the students of Mathematics to secure high marks in the examinations. Besides students, the teachers of the subject would also find it useful in elucidating concepts to the students by following a number of possible tracks suggested in the book.