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This is a free, online textbook offered by Bookboon.com.  According to the author, "The purpose of this volume is to give some guidelines for the student concerning the solution of problems in the theory of Functions in Several Variables.

The intension is not to write a textbook, but instead to give some hints of how to solve problems in this field. It therefore cannot replace any given textbook, but it may be used as a supplement to such a book on Functions in Several Variables.

The chapters have been kept as short as possible, each dealing with one particular type of standard problem, supplied with short descriptions of the possible methods of solutions which may be available, their advantages and also their shortcomings.

In Appendix A the reader will find a collection of formulæ which otherwise tacitly are assumed to be known from high school. It is highly recommended that the student learns these by heart during the course, because they form the backbone of the elementary part of Calculus, which should be mastered, before one may proceed to more advanced parts of Mathematics.

The text is a continuation of Calculus 1a, Real Functions in One Variable. It will be followed by a volume called Calculus 2c, in which selected examples from the theory of functions in several variables are considered."

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