Introduction to Differential Calculus Systematic Studies with Engineering Applications for Beginners

Enables readers to apply the fundamentals of differentialcalculus to solve real-life problems in engineering and thephysical sciences Introduction to Differential Calculus fully engages readers bypresenting the fundamental theories and methods of differentialcalculus and then showcasing how the discussed concepts can beapplied to real-world problems in engineering and the physicalsciences. With its easy-to-follow style and accessibleexplanations, the book sets a solid foundation before advancing tospecific calculus methods, demonstrating the connections betweendifferential calculus theory and its applications. The first five chapters introduce underlying concepts such asalgebra, geometry, coordinate geometry, and trigonometry.Subsequent chapters present a broad range of theories, methods, andapplications 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 learnhow to understand a broad range of current problems throughout thephysical sciences and engineering that can only be solved withcalculus. Examples throughout provide practical guidance, andpractice problems and exercises allow for further development andfine-tuning of various calculus skills. Introduction toDifferential Calculus is an excellent book for upper-undergraduatecalculus courses and is also an ideal reference for students andprofessionals alike who would like to gain a further understandingof the use of calculus to solve problems in a simplifiedmanner.