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Textbook of Calculus By Khalil Ahmad (9789393159991)

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Description

This book is written in accordance with the UGC model syllabus prepared by a team of experts on the initiative of UGC, covers the syllabus of calculus and will serve as a textbook for undergraduate students of Indian Universities. This book may be most useful for engineering students and others preparing for competitive examinations like IAS, IES, PCS etc.

The text starts with the concepts of limit, continuity, differentiability and is followed by the study of successive differentiation, tangents and normals, Rolle’s theorem, Lagrange’s mean value theorem, Taylor’s theorem, Taylor’s and Maclaurin’s series, indeterminate forms, partial differentiation, curvature, asymptotes, concavity, convexity and points of inflexion, singular points, tracing of the curves, elementary integration, integration of rational functions, irrational algebraic functions and trigonometric functions, definite integrals, reduction formulae, quadrature, rectification and volumes and surfaces of revolution. Moreover, three Appendices on Beta and Gamma functions, Maxima and Minima, and Practicals with Mathematica have also been presented.

Salient Features:

  • Presentation of the subject in a natural way
  • Description of the concepts with justification
  • Grading of exercises
  • Exercises (solved and unsolved) after each section and a set of miscellaneous exercises at the end of each chapter
  • Notes and remarks at proper places.

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About the Author:

Dr. Khalil Ahmad (b. 1949) PhD, was a Professor and Head, Department of Mathematics and Dean, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi. He has a teaching experience of more than 50 years and research experience of more than 45 years. He has published 60 research papers in the field of Functional Analysis and Wavelet Analysis in various national and international journals of reputes. He has authored three books, coauthored seven books, co-edited five books, co-authored research monograph titled “Wavelet Packets and Their Statistical Applications” and produced 16 PhDs. He had taught undergraduate and postgraduate classes for 2 years in DAV (PG) College, Kanpur, 1 year in AMU, Aligarh and 39 years in Jamia Millia Islamia, New Delhi. He was Visiting Professor in the Department of Mathematics, Yarmouk University, Irbid, Jordan for 1 year. Presently, he is professor in the Department of Mathematics and Dean Research, Al-Falah University, Faridabad (Haryana). Besides, he has been invited to deliver lectures within India and abroad.
Dr. Pankaj Sharma (b. 1980) PhD has served as Assistant Professor, Department of Applied Mathematics, Delhi Technological University, Delhi for more than 1 year. Currently, he is an Assistant Professor, Department of Mathematics, Zakir Husain Delhi College (University of Delhi), New Delhi. He has more than 10 years of teaching and research experience. He has co-authored one book, published 14 research papers in various reputed national and international journals. Besides, he has been invited to deliver lectures at ISM Dhanbad, NIT Warangal, IIT Indore and other reputed institutions. His research areas of interests are wavelet theory and their applications in diverse disciplines.
Contents:

  • Preliminaries
  • Limits, Continuity and Differentiability
  • Successive Differentiation
  • Tangents, Normals and Derivative of Arcs
  • Mean Value Theorems and Expansion of Functions
  • Indeterminate Forms
  • Partial Differentiation
  • Curvature
  • Asymptotes
  • Concavity, Convexity and Points of Inflexion
  • Singular Points
  • Tracing of the Curves
  • Elementary Integration
  • Integration of Rational Functions
  • Integration of Irrational Algebraic Functions
  • Integration of Trigonometric Functions
  • Definite Integrals
  • Reduction Formulae
  • Quadrature
  • Rectification
  • Volumes and Surfaces of Solids of Revolution
  • Appendices


Author: Khalil Ahmad
Publisher: New Age
ISBN-13: 9789393159991
Language: English
Binding: Paper Back
Product Edition: 2023
No. Of Pages: 432
Country of Origin: India
International Shipping: No

Additional information

Weight 0.704 kg

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