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The book in its new format, has run through 42nd edition alongwith its sixteen heavy reprints in just two years. This has encouraged the author to retain the same format and features of the book which have made it so popular. Even then the text has been carefully revised. Some additons have been made. The number of examples have been increased and problems from the latest University question papers have been added. The objective type of questions have also been updated and given at the end of each chapter. A new table of Laplace Transforms has been added to Appendix II. It is hoped that the book in its revised form will enjoy the ever increasing popularity.
The author thanks the numerous readers in India and abroad for their letters of appreciation and the fellow professors for their suggestions and partonage of the book. In particular, he is grateful to Prof. P. Veeraiah, Sri Venkateswara College of Engg., Chennai; Dr. Jeevargi Phakirappa, V.N. Engg. College Beltary (Kar.); Prof. Ram Mohan R., Thiagrarajar College of Engg., Madurai; Dr. C.N.B. Rao, SRKR Engg. National Institute of Technology, Tiruchirappalli (TN.); Prof. Prakash Singh, Bhabha College of Engg., Bhopal; Dr. H.N. Thakur, B.I.T., Sindri (Jh.K); Dr. Sarasvati Yadav, National Institute of Technology, Kurukshetra; Dr. Avadesh Kumar Maurya, Chhatisgarh Institute of Technology, Rajnandgaon; Dr. Asha Gupta, PEC University of Technology, Chandigarh, Prof. L.S. Bharathnarayana, Maland College of Engg.
Suggestions for improvement of the text and intimation of misprints will be thankfully acknowledged.
Table of Contents
UNIT-I (ALGEBRA, VECTORS AND GEOMETRY)
*Solution of equations *Linear algebra : Determinants, matrics * Vector algebra & solid geometry
*Differential calculus and its applications *Partial calculus and its applications *Integral calculus and its applications
*Multiple integrals and beta, gamma functions *Vector calculus and its applications
*Infinite series *Fourier series
UNIT-IV (DIFFERENTIAL EQUATIONS)
*Differential equations of first order *Applications of differential equations of first order *Linear differential equations *Applications of linear differential equations *Differential equations of other types *Series solution of differential equations and special functions *Partial differential equations *Applications of partial differential equations
UNIT-V (COMPLEX ANALYSIS)
*Complex numbers and functions *Calculus of complex functions
*Laplace transforms *Fourier transforms *Z-Transforms
UNIT-VII (NUMERICAL TECHNIQUES)
*Empirical laws and curve-fitting *Statistical methods *Probability and distributions *Sampling and interface *Finite differences and interpolation *Numerical differentiation and integration *Difference equations *Numerical solution of ordinary differential equations *Numerical solution of partial differential equations *Linear programming
UNIT-VIII (SPECIAL TOPICS)
*Calculus of variations *Integral equations *Discrete mathematics *Tensor analysis *Useful information *Answers to problems