Higher Mathematics for Science & Engineering

by , ,
ISBN: 9789384370237
Subject Category:
Estimated Delivery Time: 7 to 10 days delivery









Engineering Mathematics is an interdisciplinary subject taught in every branch of Engineering.

The book titled “Higher Mathematics - Science and Engineering” is designed to cover the undergraduate and post graduate courses of Engineering.

This book provides detailed explanation and concept of each topic with problem solving techniques and engineering applications.

This book may be used as text and or reference book by every Engineering Mathematics learner and expert.

It covers the topics like: Differential Calculus, Integral Calculus, Vector Calculus, Ordinary Differential Equations, Partial Differential Equations, Special Functions, Fourier series, and Laplace Transform.

Topics like Fourier Transform, Z-Transform, Linear Algebra, Boolean algebra, Graph Theory, Fuzzy Logic, Complex Variables, Numerical Analysis, Statistics, Reliability, and Operation Research are also included.

Salient Features:

1. This textbook is suited for everyone including undergraduates, post-graduates, researchers, and academicians

2. Development of subjects from basic to advanced levels

3. Categorically designed to be user-friendly and easy to read

4. Derivations, proofs, results, theories, and numericals are all included

5. The book provides concise and effective discussion on included content

6. The book also provides supporting data in the form of illustrations, tables and reactions so as to make the topic easy to understand.

7. Each part of the book has subsections or chapters

Topics Covered

• Expansion of Functions
• Partial Differentiation
• Maxima and Minima
• Tangents and Normals
• Curvature
• Definite Integral as Limit of a Sum
• Multiple Integrals
• Applications of Multiple Integrals
• Gamma, Beta Functions Dirchlet’s Integrals
• Differentiation of Vectors
• Differential Operators: Gradient, Divergence and Curl
• Integration of Vectors
• Line, Surface and Volume Integrals
• Green’s, Stoke’s and Gauss’s Theorems
• Differential Equations and Their Formation
• Ordinary Differential Equations of First Order
• Linear Differential Equations with Constant Coefficients
• Homogeneous Linear Equations or Euler-Cauchy’s Equations
• Ordinary Simultaneous Differential Equations
• Linear Differential Equation of Second Order
• Solution in Series
• Bessel’s Equations and Bessel’s Function
• Lengendre’s Equation and Lengendre’s Polynomials
• Introduction to Partial Differential Equations
• Linear Partial Differential Equations With Constant Coefficients
• Classification of Linear Partial Differential Equations of Second Order
• Applications of Partial Differential Equations
• Fourier Series
• The Laplace Transform
• The Inverse Laplace Transform
• Applications of Laplace Transform
• The Fourier Transform
• The Z-Transform
• Algebra of Matrices
• Rank of Matrix and Linear Equations
• Boolean Algebra & its Applications
• Graph Theory
• Algebra of Logic
• Fuzzy Logic
• Theory of Equations
• Analytic Functions
• Complex Integration
• Power Series and Expansion in Series
• Singularities
• Calculus of Residues ad Evaluation of Real Definite Integrals
• Evaluation of Definite Integrals
• Conformal Representation
• Differences, Operators, Interpolation with Equal Intervals
• Approximation
• Interpolation with Unequal Intervals
• Central Difference Interpolation Formulae
• Inverse Interpolation
• Numerical Differentiation
• Numerical Integration
• Solution of Algebraic Transcendental Equations
• Numerical Solution of Ordinary Differential Equations
• Numerical Solution to Partial Differential Equations
• Probability Distribution
• Method of Least Squares: Curve Fitting
• Forecasting and Decision Theory
• Introduction to Reliability
• Reliability Mathematics
• Operation Research

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