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

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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.

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

"Introduction to Engineering Mathematics" series is compiled specifically for the faculty and students at all engineering colleges of Dr A.P.J. Abdul Kalam Technical University (AKTU), Lucknow, UP along with other engineering institutes which might follow the same course pattern. With a completely new syllabus, the subject is fully covered in a single textbook. Therefore for "Integral Transform and Discrete Maths" students and faculties need not refer to multiple texts anymore. Replete with well-placed examples to complement the theory, the book enables students to learn effortlessly of so-called difficult topics as well.

• Question papers of 2019-2020 are added at the end of the book. This will help the students to understand the trends of examination and faculties to provide rigorous practice to their students.

**MODULE- I: LAPLACE TRANSFORM**

- Laplace Transforms
- Inverse Laplace transform

**MODULE-II: INTEGRAL TRANSFORMS**

- Fourier Integral Transforms
- Z-Transform

**MODULE-III: FORMAL LOGIC, GROUP, RING AND FIELD**

- Formal Logic
- Group Theory
- Ring and Field

**MODULE-IV: SET, RELATION, FUNCTION AND COUNTING**

- Sets Theory
- Relations
- Functions
- Methods of Proofs
- Recurrence Relation
- Generating Functions

**MODULE-V: LATTICES AND BOOLEAN ALGEBRA: TECHNIQUES**

- Lattices
- Boolean Algebra

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