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Differential equations 10th Edition by N P Bali ISBN 8170089395 9788170089391

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Differential equations 10th ed Edition N P Bali Digital Instant Download

Author(s): N P Bali
ISBN(s): 9788170089391, 8170089395
Edition: 10th ed
File Details: PDF, 14.02 MB
Year: 2006
Language: english
SKU: EB-4117346 Category: Tag:

Differential equations 10th Edition by N  P Bali – Ebook PDF Instant Download/Delivery:8170089395, 9788170089391
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Product details: 

ISBN 10: 8170089395 

ISBN 13: 9788170089391

Author:  N. P. Bali

The book has been designed for the use of degree students of various universities. It will also be found useful by the students preparing for various competitive examinations. Many new examples have been added in the book. A new chapter on integration in the series (frobenius method) enhances the utility of the book. The author has endeavoured to present the fundamental concepts in a comprehensive and lucid manner. About the n. P. Bali is a prolific author of over 100 books for degree and engineering students. He has been writing books for nearly forty years. His books on the following topics are well-known for their easy comprehension and lucid algebra, trigonometry, differential calculus, integral calculus, real analysis, co-ordinate geometry, statics, dynamics, etc. Table of &nsp;&nsp;&nsp;&nsp;&nsp;&nsp;list of important formulae 

Table of contents: 

Part A: Ordinary Differential Equations

Ordinary Differential Equations of First Order

Definitions and Geometrical Meaning

Formation of Differential Equations

Solution of Differential Equations of the First Order and First Degree

Variables Separable Form

Differential Equations of the Form dy/dx = f(ax + by + c)

Homogeneous Differential Equations and their Solution

Equations Reducible to Homogeneous Form

Exact Differential Equations

Equations Reducible to Exact Equations

Differential Equations of the First Order and Higher Degree

Equations Solvable for p, y, and x

Clairaut’s Equation

Definition of Leibnitz’s Linear Differential Equation

Equations Reducible to the Linear Form (Bernoulli’s Equation)

Linear Ordinary Differential Equations of Second and Higher Order

Definitions and Theorems

The Operator D

Complementary Function and Particular Integral

Method of Variation of Parameters

Method of Undetermined Coefficients

Euler-Cauchy Equation

Simultaneous Linear Differential Equations

Application of Ordinary Differential Equations

Simple Harmonic Motion

Application to Electric Circuits

Simple Pendulum

Gain or Loss of Beats

Deflection of Beams

Boundary Conditions

Conduction of Heat

Newton’s Law of Cooling

Rate of Growth or Decay

Chemical Reactions and Solutions

Part B: Linear Algebra

Matrices and Determinants

Definition and Types of Matrices

Operations on Matrices

Determinants and their Properties

Inverse of a Matrix

Rank of a Matrix

System of Linear Equations

Vector Spaces

Definition and Examples

Subspaces

Linear Independence and Basis

Dimension of a Vector Space

Linear Transformations

Eigenvalues and Eigenvectors

Linear Transformations and Quadratic Forms

Linear Transformations

Matrix Representation of Linear Transformations

Eigenvalues and Eigenvectors of Linear Transformations

Diagonalization of Matrices

Quadratic Forms

Canonical Forms of Quadratic Forms

Part C: Infinite Series

Sequences and Series

Definitions and Types

Convergence and Divergence

Tests for Convergence

Power Series

Taylor and Maclaurin Series

Special Series

Binomial Series

Exponential Series

Trigonometric Series

Fourier Series

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