Introduction to Differential Calculus fully engages readers by
presenting the fundamental theories and methods of differential
calculus and then showcasing how the discussed concepts can be applied
to real-world problems in engineering and the physical sciences. With
its easy-to-follow style and accessible explanations, the book sets a
solid foundation before advancing to specific calculus methods,
demonstrating the connections between differential calculus theory and
its applications.
The first five chapters introduce underlying concepts such as
algebra, geometry, coordinate geometry, and trigonometry. Subsequent
chapters present a broad range of theories, methods, and applications
in differential calculus, including:
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Concepts of function, continuity, and derivative
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Properties of exponential and logarithmic function
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Inverse trigonometric functions and their properties
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Derivatives of higher order
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Methods to find maximum and minimum values of a function
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Hyperbolic functions and their properties
Readers are equipped with the necessary tools to quickly learn how to
understand a broad range of current problems throughout the physical
sciences and engineering that can only be solved with calculus.
Examples throughout provide practical guidance, and practice problems
and exercises allow for further development and fine-tuning of various
calculus skills. Introduction to Differential Calculus is an excellent
book for upper-undergraduate calculus courses and is also an ideal
reference for students and professionals alike who would like to gain
a further understanding of the use of calculus to solve problems in a
simplified manner.
Ulrich L. Rohde
, PhD, ScD, Dr-Ing, is Chairman of Synergy Microwave Corporation,
President of Communications Consulting Corporation, and a Partner of
Rohde & Schwarz. A Fellow of the IEEE, Professor Rohde holds several
patents and has published more than 200 scientific papers.
G. C. Jain, BSc, is a retired scientist from the Defense
Research and Development Organization in India.
Ajay K. Poddar, PhD, is Chief Scientist at Synergy Microwave
Corporation. A Senior Member of the IEEE, Dr. Poddar holds several
dozen patents and has published more than 180 scientific papers.
A. K. Ghosh, PhD, is Professor in the Department of Aerospace
Engineering at IIT Kanpur, India. He has published more than 120
scientific papers.
