“The book is very useful for those who wish to learn the theory properly. ... the book is very clearly written–the theory is nicely presented with important topics being well explained and illustrated with examples. ... Each chapter begins with an outline of its content, and ends with suitably constructed exercises, with solutions given at the end of the book. ... it is also an excellent reference text on multivariate calculus and the basics in differential geometry.” (Peter Shiu, The Mathematical Gazette, Vol. 100 (547), 2016)

“A textbook aimed at undergraduate mathematics students. ... The text is accompanied with a large number of figures and explanatory text. Each chapter is concluded by a collection of exercises of both routine and more theoretical nature. The textbook is written in a readable way, especially it is one of rare cases of multivariate calculus texts consequently linked to the geometric roots of the subject.” (Vladim�r Janiš, zbMATH 1312.26001, 2015)

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