Engineering Mathematics-III for B- Tech 1st Year 2nd Sem(JNTU KAKINADA), 2/e

Engineering Mathematics-III for B- Tech 1st Year 2nd  Sem(JNTU KAKINADA), 2/e

Authors : Dr. T K V Iyengar, S. RANGANATHAM, Dr. M.V.S.S.N. PRASAD & DR. B. KRISHNA GANDHI

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About the Author

Dr. T K V Iyengar :-
He is former Professor of Mathematics National Institute of Technology, Warangal.


S. RANGANATHAM :-  
He is M.Sc., M.Phil, Former Head of the Dept. of Mathematics Jawaharbharati College Kavali.


Dr. M.V.S.S.N. PRASAD :-  
He is M.Sc., PGDCA, Ph.D., Head of General Section Department of Technical Education Govt. of A.P.


DR. B. KRISHNA GANDHI :-
He was born in 1953 at Vijayawada' Andhra Pradesh. He had done his Master Degree (M.Sc) from Andhra University, Vishakhapatnam in 1976 and his Ph. D on "Number Theory" from Osmania University Hyderabad in 1989. After completing his doctorate degree he worked as a Junior Lecturer im Government College, Krishna Distt, Andhra Pradesh for 3 years. Then he worked as a lecturer for 7 years in Government. Degree college, Siddipet at Medam, A.P. He was appointed as an associate professor in JNTU College of Engineering, in 1999 and principal JNTU College of fine art. Presently he is a vice chancellor in JNTU, Anantapur. He has more than 27 Years teaching experience, guided 13 Ph.Ds, 4 M. Phils and 10 M.Sc. Tech (Mathematics) dissertations work. His research papers are 34 in number and he had authored 11 textbooks of various universities. He had also got the "Best Teacher Award in Mathematics" in 2007 and delivered many lectures and extension lectures as a resource Expert . He is a chairman, Board of studies of Mathematics, JNTU Hyderabad and is a member in the panel of subject experts of Mathematics, UPSC, New Delhi, Board of studies of Mathematics, Warangal and so on. The popular titles of this great academician are: • Intermediate Mathematics Textbooks, English Medium for I &II year, Telugu Medium for I &II year • A Textbook of Engineering Mathematics Vol. I, II, & III • A Textbook of Mathematical Methods • A Textbook in Mathematics for B.A/ B.Sc.-Ist year • A Textbook of Probability and Statistics.
 

About the Book

In this book, vector differential calculus is considered, which extends the basic concepts of (ordinary) differential calculus, such as, continuity and differentiability to vector functions in a simple and natural way. The new concepts of gradient, divergence and curl are introduced. Line, surface and volume integrals which occur frequently in connection with physical and engineering problems are defined. Three important vector integral theorems, Gauss divergence theorem, Green's theorem in plane and Stokes theorem are discussed. The idea of Laplace transform to develop some useful results
has been introduced also demonstrated how the Laplace transform technique is used in solving a class of problems in differential equations. Fourier series is an infinite series representation of a periodic function in terms of sines and cosines of an angle and its multiples. How Fourier series is useful to solve ordinary and partial differential equations particularly with periodic functions appearing as non-homogeneous terms has been
discussed. This book comprises previous question papers problems at appropriate places and also previous GATE questions at the end of each chapter for the benefit of the students.
 

Contents

1. Vector Differentiation, 2. Vector Integration, 3. Vector Integral Theorems, 4. Laplace
Transforms, 5. Inverse Laplace Transforms, 6. Fourier Series, 7. Fourier Transforms, 8.
First Order Partial Differential Equations, 9. Second and Higher Order Partial Differential
Equations, 10. Applications of Partial Differential Equations
 

Key Features

  • In this book, vector differential calculus is considered, which extends the basic concepts of (ordinary) differential calculus, such as, continuity and differentiability to vector functions in a simple and natural way.
  • The new concepts of gradient, divergence and curl are introduced.
  • Three important vector integral theorems, Gauss divergence theorem, Green's theorem in plane and Stokes theorem are discussed.
  • Laplace transform technique is used in solving a class of problems in differential equations.
  • Previous GATE questions at the end of each chapter for the benefit of the students.
  • Questions with answers from latest question papers of JNTU K, have been inserted at proper places.
  • The objective type questions have been given at the end of each unit.