Engineering Mathematics-I

Assignment & Tutorial Approach-Fully Solved

by , ,
ISBN: 9789384370268
Subject Category: ,
Estimated Delivery Time: 7 to 10 days delivery









This book is the outcome of author's rich experience of teaching undergraduate and postgraduate students spanning over decades. It is unique in its style and pattern as each chapter has a basic theory followed by a good number of questions with their solutions - it follows an assignment and tutorial approach.

It is felt that such book is an intrinsic requirement of every faculty (teaching this course) and every student (studying this course).

Engineering mathematics is a branch of applied mathematics concerning mathematical methods and techniques that are typically used in engineering and industry.

This book is divided into 5 parts, which are Differential Calculus, Differential Calculus-II, Linear Algebra, Multiple Integrals, and Vector Calculus. It covers topics such as Successive Differentiation and Leibnitz’s Theorem, Partial Differentiation, Curve Tracing, Expansion of Functions, Jacobian Errors and Approximations, Maxima and Minima, Lagrange’s Multipliers, and more.

It also includes Matrices, Vector Space, Gamma and Beta Functions, Applications of Multiple Integrals, Differential Operators (Gradient, Divergence and Gurl), Green’s Stokes’ and Gauss’ Divergence Theorems as well as Line, Surface and Volume Integrals.

Salient Features:

1. Each topic is covered with theory and numerical.

2. 30 Assignments and 861 solved questions are integral and most important part of this book.

3. Students do not require text book and University papers separately, as it serves both.

4. All possible challenging University questions are presented along with their logical solutions.

5. The language of book is easy to understand and content is written in continuity, making the reader more comfortable in moving from one topic to another

6. Each part of the book has subsections or chapters

Topics Covered

Unit-1: Differential Calculus

  • Successive Differentiation and Leibnitz’s Theorem
  • Partial Differentiation
  • Curve Tracing

Unit-2: Differential Calculus-II

  • Expansion of Functions
  • Jacobian
  • Errors and Approximations
  • Maxima and Minima, Lagrange’s Multipliers

Unit-3: Linear Algebra

  • Matrices
  • Vector Space

Unit-4: Multiple Integrals

  • Multiple Integrals
  • Gamma and Beta Functions
  • Applications of Multiple Integrals

Unit-5: Vector Calculus

  • Differential Operators: Gradient, Divergence and Gurl
  • Line, Surface and Volume Integrals
  • Green’s Stokes’ and Gauss’ Divergence Theorems
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