Correct Antidifferentiation
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Book Overview A typical source of mistakes that frequently lead to a wrong or incomplete solution for the antiderivative of a given real function of on...
A typical source of mistakes that frequently lead to a wrong or incomplete solution for the antiderivative of a given real function of one real variable is a misuse of the technique of change of variable. The increasing implementation of software in apparently mechanic tasks such as the calculation of antiderivatives has not improved the situation, yet those software packages issue generic warnings such as "the answer's is not guaranteed to be continuous" or "the solution might be only valid for parts of the function". The practical meaning of those vague machine messages is clearly envisaged in this book, which shows how to handle the technique of change of variable in order to provide correct solutions.
This book is monographically focused on elementary antidifferentiation and reasonably self-contained, yet it is written in a "hand-book" style: it has plenty of examples and graphics in an increasing level of difficulty; the most standard changes of variable are studied and the hardest theoretic parts are included in a final Appendix. Each practical chapter has a list of exercises and solutions.
This book is intended for instructors and university students of Mathematics of first and second year.
Book Details Format: Hardcover | Pages: 284 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811227454
FormatHardcover
Pages284
LanguageEnglish
ISBN9811227454
EAN9789811227455
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.43 Pounds
Length9.61 Inches
Width6.69 Inches
Height0.69 Inches
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