Engineering Mathematics I
For University of Mumbai
Price: 450.00 INR
ISBN:
9780190124144
Publication date:
30/08/2019
Paperback
392 pages
Price: 450.00 INR
ISBN:
9780190124144
Publication date:
30/08/2019
Paperback
392 pages
Engineering Mathematics I is specially designed for the first year engineering students of the University of Mumbai. The book provides a detailed coverage of all the topics taught in Engineering Mathematics I offered in the first semester.
Rights: World Rights
Description
It starts with a review of complex numbers, and then focuses on applications of De Moivre’s theorem, special class of exponential functions called hyperbolic functions, inverse hyperbolic functions, and logarithm of complex numbers. Subsequent chapters are devoted to successive differentiation, matrices, general properties of partial differentiation, composite functions, implicit functions, and homogeneous functions, formation of Taylor’s and Maclaurin’s expansions of certain classes of functions, and indeterminate forms. It further discusses numerical methods for the solution of transcendental and linear algebraic equations and comes with appendices on Lagrange's method of undetermined multipliers and Gauss-Jordan Method. In addition, the book also introduces Scilab programming techniques for solving numerical problems. The book aims at providing application-based learning with ample number of solved problems, exercises, and exam questions which also help students to familiarize themselves with the pattern of the semester-end university examination.
Table of contents
- Complex Numbers
- Hyperbolic Functions
- Logarithm of Complex Numbers
- Successive Differentiation
- Matrices
- Partial Differentiation
- Applications of Partial Differentiation
- Expansion of Functions
- Indeterminate Forms
- Numerical Solutions of Transcendental Equations and System of Linear Equations
- Scilab
Features
- Follows the latest 2019-20 syllabus of the University of Mumbai completely
- Provides numerous solved university questions after each section
- Includes a list of important formulae at the end of the book for quick reference
- Provides summary at the end of each chapter for quick recapitulation of the concepts learned
- Includes two model question papers for practice
- Comes with solved university question paper-Nov. 2018
ONLINE RESOURCES
The following resources are available to support the faculty and students using this text:
For Faculty:
- Solutions Manual
For Students
- Solutions to Model Question Papers
- Solutions to Additional Problems
Description
It starts with a review of complex numbers, and then focuses on applications of De Moivre’s theorem, special class of exponential functions called hyperbolic functions, inverse hyperbolic functions, and logarithm of complex numbers. Subsequent chapters are devoted to successive differentiation, matrices, general properties of partial differentiation, composite functions, implicit functions, and homogeneous functions, formation of Taylor’s and Maclaurin’s expansions of certain classes of functions, and indeterminate forms. It further discusses numerical methods for the solution of transcendental and linear algebraic equations and comes with appendices on Lagrange's method of undetermined multipliers and Gauss-Jordan Method. In addition, the book also introduces Scilab programming techniques for solving numerical problems. The book aims at providing application-based learning with ample number of solved problems, exercises, and exam questions which also help students to familiarize themselves with the pattern of the semester-end university examination.
Read MoreTable of contents
- Complex Numbers
- Hyperbolic Functions
- Logarithm of Complex Numbers
- Successive Differentiation
- Matrices
- Partial Differentiation
- Applications of Partial Differentiation
- Expansion of Functions
- Indeterminate Forms
- Numerical Solutions of Transcendental Equations and System of Linear Equations
- Scilab