Worldwide Integral Calculus With Infinite Series by David B. Massey

ISBN-13 : 9780984207152

Publisher : Worldwide Center of Mathematics; 1st edition (January 1, 2009)

Welcome to the Worldwide Integral Calculus textbook; the second textbook from the Worldwide

Center of Mathematics.

Our goal with this textbook is, of course, to help you learn Integral Calculus (and power

series methods) { the Calculus of integration. But why publish a new textbook for this purpose

when so many already exist? There are several reasons why we believe that our textbook is a

vast improvement over those already in existence.

Even if this textbook is used as a classic printed text, we believe that the exposition, explanations,

examples, and layout are superior to every other Calculus textbook. We have tried to

write the text as we would speak the material in class; though, of course, the book contains far

more details than we would normally present in class. In the book, we emphasize intuitive ideas

in conjunction with rigorous statements of theorems, and provide a large number of illustrative

examples. Where we think it will be helpful to you, we include proofs, or sketches of proofs,

in the midst of the sections, but the extremely technical proofs are contained in the Technical

Matters appendices to chapters, or are contained in referenced external sources. This greatly

improves the overall readability of our textbook, while still allowing us to give mathematically

precise de nitions and statements of theorems.

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