Book Details

ENGINEERING MATHEMATICS (ACCORDING TO U. P. TECHNICAL UNIVERSITY SYLLABUS)

By SASTRY, S. S.

Price : ~~Rs.350.00~~ Rs.140.00
ISBN : 9788120341005
Page : 672
Year of Publication : 2010
Edition :
Publisher : PHI Titles

mediamatics

Description :

This book is designed to serve as a text for the first-year undergraduate students of all branches of engineering for a course in engineering mathematics. It covers the topics prescribed in Semester I and Semester II of U. P. Technical University.

The topics included are :

• Differential calculus and matrices

• Multiple integrals and vector calculus

• Differential equations

• Solution in series and Special functions

• Laplace transforms, Fourier series and partial differential equations

All the topics are discussed in a systematic and simple manner. Emphasis has been laid on making the concepts clearer.

KEY FEATURES :

Gives a large number of illustrative examples to clarify the concepts.

Includes a number of exercises for practice.

Provides a sample question paper at the end of the text.

Content :

Contents Preface SEMESTER I Unit I DIFFERENTIAL CALCULUS I 1. Differentiation (Review) 2. Successive Differentiation 3. Partial Differentiation 4. Total Differentiation 5. Expansion of Functions of Several Variables 6. Curve Tracing Unit II DIFFERENTIAL CALCULUS II 7. Jacobians 8. Approximation of Errors 9. Extrema of Functions of Several Variables Unit III MATRICES 10. Algebra of Matrices Unit IV MULTIPLE INTEGRALS 11. Double Integration 12. Triple Integration 13. Beta and Gamma Functions Unit V VECTOR CALCULUS 14. Vector Differential Calculus 15. Vector Integration SEMESTER II Unit I DIFFERENTIAL EQUATIONS 1. Differential Equations (Revision) 2. Linear Differential Equations 3. Applications of Differential Equations Unit II SERIES SOLUTIONS AND SPECIAL FUNCTIONS 4. Solution in Series of Differential Equations 5. Bessel Functions 6. Legendre Polynomials Unit III LAPLACE TRANSFORMS 7. Laplace Transforms Unit IV FOURIER SERIES 8. Fourier Series 9. Partial Differential Equations 10. Partial Differential Equations of the Second Order Unit V APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 11. Initial Boundary-Value Problems Index

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