Title: A Treatise on the Integral Calculus, Vol 1 Containing an Elementary Account of Elliptic Integrals and Applications to Plane Curves With Numerous Examples Classic Reprint
Publisher: Forgotten Books
Publication Date: 2019
Language: English
ISBN 10: 0365395978
ISBN 13: 9780365395973
Binding: HRD
Condition: New
Weight: 733 grams

About this title

Synopsis

Master the essentials of integral calculus with clear, step-by-step methods that build a solid foundation for more advanced topics.

This volume presents a practical introduction to the integral calculus, starting with the core idea that the integral is the inverse of differentiation. It explains how integrals arise as sums of tiny elements and how constants enter into the general solution. The text then outlines the main strategies for reducing integrals to elementary forms, including substitution, algebraic manipulation, and integration by parts, all illustrated with worked examples. It also discusses when and how to use series expansions and how to handle definite integrals, including changing limits, differentiating under the integral sign, and dealing with infinite or improper limits. The discussion culminates in a survey of elementary and special integrals, with a focus on practical computation and the relationships among different function classes.

Learn the core methods for reducing integrals to elementary forms
Explore the treatment of definite integrals, infinite series, and numerical evaluation
See how constants affect antiderivatives and how to handle multivariable and parametric cases
Practice with a broad set of examples that illuminate theory and technique

Ideal for readers seeking a clear, hands-on introduction to integral techniques, with a progression from basic ideas to common methods and applications.

"About this title" may belong to another edition of this title.

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