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Can anyone suggest a good book involving large no. Of questions on several variable functions involving partial derivatives, higher order partial derivatives and Lagrange's multipliers ?

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    Schuam's books are good - they have short resume's of the topics, then a whole bunch of worked exercises and then additional questions. Check out Murray R Spiegel's Advanced Calculus - it has good coverage of all the topics you mention.2017-01-11

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