Introduction to Differential Calculus (ePub)

Enables readers to apply the fundamentals of differential
calculus to solve real-life problems in engineering and the
physical sciences



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:

* Concepts of function, continuity, and derivative

* Properties of exponential and logarithmic function

* Inverse trigonometric functions and their properties

* Derivatives of higher order

* Methods to find maximum and minimum values of a function

* 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.