Introduction to Calculus Volume I by J.H. Heinbockel
This is the first volume of an introductory calculus presentation intended for future scientists and engineers. Volume I contains ve chapters emphasizing fundamental concepts from calculus and analytic geometry and the application of these concepts to selected areas of science and engineering.
Chapter one is a review of fundamental background material needed for the development of dierential and integral calculus together with an introduction to limits. Chapter two introduces the dierential calculus and develops dierentiation formulas and rules for nding the derivatives associated with a variety of basic functions. Chapter three introduces the integral calculus and develops indenite and denite integrals. Rules for integration and the construction of integral tables are developed throughout the chapter. Chapter four is an investigation of sequences and numerical sums and how these quantities are related to the functions, derivatives and integrals of the previous chapters. Chapter ve investigates many selected applications of the dierential and integral calculus. The selected applications come mainly from the areas of economics, physics, biology, chemistry and engineering.
Topics are discussed in this book
Chapter 1 Sets, Functions, Graphs and Limits
Chapter 2 Dierential Calculus
Chapter 3 Integral Calculus
Chapter 4 Sequences, Summations and Products
Chapter 5 Applications of Calculus
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