About the Book:
The subject matter has been presented in detail, in a simple form with clarity so as to enable students of varied background to understand the subject with little effort. An attempt has been made to explain the theory through illustrations, diagrams and examples for understanding the concepts involved keeping in mind the different levels of intelligence of students.
This book has been specially written for the second year students of engineering colleges affiliated to JNTU Hyderabad and entirely cover the revised syllabus.
· A good number of solved examples along with a large number of graded problems in the exercises are provided under each topic and as well at the end of each chapter for practice
· A set of objective type questions are given in the last pages of the chapters for the convenience of students preparing for the examinations.
· A summary of important formulae and working rules for solving problems is given at the end of most of the chapters
1. Special Functions – I: Review of the Taylor’s Series for a Real Many valued Functions, Gamma Function, Beta Function, Bessel’s Functions, 2. Special Functions – II: Legendre Polynomials, Chebyshev Polynomials, Chebyshev Polynomials of Second Kind, 3. Functions of a Complex Variable: Introduction, Functions, Limits and Continuity, Differentiability – Analytic Functions, Methods of Construction of an Analytic Function f(z) = u + iv, Elementary Function, 4. Complex Integration: Introduction of Line Integral, Curves and Regions, 5. Complex Power Series: Sequence of Functions, Zeros of an Analytic Function, 6. Contour Integration: Introduction – Residue of f(z), Application of Residue Theorem to Evaluate Some Real Definite Integrals
Jordan’s inequality, Type IV: Integrals by indentation, 7. Conformal Mapping: Introduction, Elementary Transformations, Mapping by Elementary Functions, Bilinear Transformation, 8. Elementary Graph Theory: Introduction, Graphs, Types of Graphs, Representation of Graphs by Matrices, Eulerian and Hamiltonian Circuits, Trees, Spanning Trees and Minimum Spanning Trees
About the Authors:
P. B. Bhaskar Rao, retired and respected Professor from Department of Mathematics, Osmania University has more than 30 years of teaching experience. He contributed articles to many reputed journals and has edited several books on Mathematics.
S. K. V. S. Sri Ramachary, retired Professor from Department of Mathematics, University College of Engineering, Osmania University has more than 30 years of teaching experience.
M. Bhujanga Rao, M.Phil., Ph.D. is retired Professor of Mathematics, College of Engineering, Osmania University, and Hyderabad. He has more than 30 years of teaching experience. He held many important administrative and academic positions while he worked in Osmania University, Hyderabad.