Introduction to Engineering Mathematics Volume-II (For APJAKTU, Lucknow)

Introduction to Engineering Mathematics Volume-II (For APJAKTU, Lucknow)

Authors : H K Dass, Rajnish Verma & Dr. Rama Verma

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About the Author

H K Dass :-
Prof. H.K. Dass, recepient of British Scholarship in 1971-72, for Specialist Study in ADVANCE MATHEMATICS at University of Hull, England. Prof. Dass, M. Sc. (Mathematics) Ist. division and college topper, has been teaching Mathematics to Engineering students for last 35 years and is the most popular faculty among students. Prof. Dass has etablished his reputation all over India and other neighbouring countries very firmly as an author of Mathematics Text books. He has to his credit 20 books of Engineering Mathematics and Maths school books. His books are very popular among engineering students all over the country, Sri lanka, Pakistan, East Asia and African countries. After the success of Engineering Mathematics books, the publisher encouraged him to write mathematics books for schools. In a short span of time, his mathematics books for class IX, X, XI and XII are a hit among school teachers' and students' community. ""Mathematics for class X"" is the best book among all the prevailing books available to the students, and gets a special mention. He has been awarded as Distinguished Author by our company. As an educationist his name has been approved as Member, Governing Body of Shyam Lal College by VC, University of Delhi. Prof. H.K. Dass has been conferred with "" SECULAR INDIA HARMONY AWARD - 1998"" by Honb'le Prime Minister, Shri Atal Behari Vajpayee in 1999. His famous books are: • Advanced Engineering Mathematics • Engineering Mathematics for AMIE • Mathematical Physics for B.Sc. Hons. • Introduction to Engineering Mathematics I & II for U.P. • Basics of Engineering Mathematics I, II & III for M. P. • Concept of Engineering Mathematics for Orissa • Fundamentals of Engineering Mathematics I, II & III for Uttarakhand • S. Chand's Engineering Mathematics I & II for Nagpur • Elements of Engineering Mathematics I & II for Gujarat (In Press) • Mathematics for IX, X , XI & XII(English-Hindi) • Laboratory Manual in Mathematics for X • Simplified Co-ordinate Geometry for B. Sc.

Rajnish Verma :-

Dr. Rama Verma :-
She is Gold Medalist M.Sc. (Mathematics) and Ph.D. At present she is Associate Professor, Mata Sundri College, Delhi University, Delhi.

About the Book

Introduction to Engineering Mathematics Volume-II has been thoroughly revised according to the New Syllabi (2018 onwards) of Dr. A.P.J. Abdul Kalam Technical University (AKTU, Lucknow). The book contains 15 chapters divided among five modules - Ordinary Differential Equations of Higher Order, Multivariable Calculus-II, Sequence and Series, Complex Variable Differentiation and Complex Variable-Integration. It contains numerous solved examples from question papers of examinations recently held by different universities and engineering colleges so that the students may not find any difficulty while answering these problems in their final examination.

Salient Features

• Very short questions of 2 Marks have been added at the end of each chapters for better preparation of concepts.
• Latest Solved Question Papers have been solved and included in the textbook.

Table of Content

Module-I: Ordinary Differential Equations of Higher Order:
1. Linear Differential Equations of nth Order with Constant Coefficient, 2. Simultaneous Linear Differential Equations, 3. Second Order Linear Differential Equations, 4. Method of Variation of Parameters, 5. Series Solutions of Second Order Differential Equations

Module-II: Multivariable Calculus-II:
6. Improper Integrals of Different Types, 7. Gamma, Beta Function, 8. Application of Definite Integration

Module-III: Sequence and Series:
9. Sequence and Series, 10. Fourier Series

Module-IV: Complex Variable Differentiation:
11. Functions of Complex Variable, Analytic Function, 12. Conformal Mapping

Module-V: Complex Variable-Integration:
13. Complex Integration, 14. Taylor's and Laurent's Series, 15. The Calculus of Residues (Integration)