This book Engineering Mathematics-I consisting of Calculus, Differential Equations and Linear Algebra is designed as per AICTE syllabus. Though the book is written for AICTE, it is also suitable to cater various applications in Mathematics including various universities and competitive examinations. This book aims to provide a sound understanding in the subject of Mathematics. Practice is the key word in the learning process of mathematics. The experience of both the author in teaching undergraduate and postgraduate students from diverse background for more than four decades have helped to present the subject in a simplified manner in a step by step approach.
Features:
• Simple presentation with clarity and rigor
• Step-by-step approach for problem solving to ease self-study
• At the end of each chapter, short answer questions and objective questions are given to enhance the understanding of the topics.
Table of Contents:
Chapter 1. Calculus
Chapter 2. Sequences and Series
Chapter 3. Multivariable Calculus – Differentiation
Chapter 4. Multivariable Calculus – Integration
Chapter 5. First Order Ordinary Differential Equations
Chapter 6. Ordinary Differential Equations of Higher Order
Chapter 7. Partial Differential Equations – First Order
Chapter 8. Matrices
Chapter 9. Vector Spaces
Chapter 10. Eigen Values, Eigen Vectors and Inner Product Spaces
About the Author
Prof. Dr P. Sivaramakrishna Das started his career in 1967 as assistant
professor of Mathematics at Ramakrishna Mission Vivekananda College,
Chennai, his alma mater and retired as Head of the P.G. Department of
Mathematics from the same college after an illustrious career spanning
36 years.
Formerly, he was professor of Mathematics and Head of the Department
of Science and Humanities, K.C.G. College of Technology, Karapakkam,
Chennai (a unit of Hindustan Group of Institutions). Currently he is
professor of Mathematics in the same college.
P. Sivaramakrishna Das has done pioneering research work in the
field of “Fuzzy Algebra” and possess a Ph.D. in this field. His paper on
fuzzy groups and level subgroups was a fundamental paper on fuzzy algebra with over 600 citations
and it was the first paper from India.
Prof. Dr C. Vijayakumari began her career in 1970 as assistant professor
of Mathematics at Government Arts College for Women, Thanjavur, and
has taught at various Government Arts and Science colleges across
Tamil Nadu before retiring as professor of Mathematics from Queen Mary’s
College (Autonomous), Chennai after an illustrious career of spanning
36 years. She has a Ph.D. degree in the field of “Fuzzy Topology”.
As a visiting professor of Mathematics, she has taught the students at
two engineering colleges in Chennai. With a teaching experience spanning
over 40 years, she is an accomplished teacher of Mathematics and
Statistics at both undergraduate and postgraduate levels
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