Enables readers to apply the fundamentals of differential calculus to solve reallife 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 realworld problems in engineering and the physical sciences. With its easytofollow 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 finetuning of various calculus skills. Introduction to Differential Calculus is an excellent book for upperundergraduate 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.