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Calculus with vectors. (English) Zbl 1325.00003

Springer Undergraduate Texts in Mathematics and Technology. Cham: Springer (ISBN 978-3-319-09437-3/hbk; 978-3-319-09438-0/ebook). ix, 399 p. (2014).
This book is useful to university students in pure and applied mathematics, engineering, etc. The theoretical part is well presented in each chapter. The applications – solved problems and proposed problems – are gradually presented in order to obtain a good understanding of the theoretical notions. Contents: 1. Points and vectors; 2. Limits; 3. More on limits; 4. Finding derivatives; 5. Applications; 6. Integration; 7. Cross product; 8. Integration techniques; 9. Applications of integration; 10. Series.

MSC:

00-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematics in general
00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.)
26-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions
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