Overview
- Includes early vectors and early transcendentals to help prepare students for calculus-based physics classes
- Contains several appendices designed to help fill in necessary background knowledge, including basic trigonometry and algebra review
- Uses non-standard approaches in order to optimize ease of understanding for students
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Undergraduate Texts in Mathematics and Technology (SUMAT)
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Table of contents (10 chapters)
Keywords
About this book
Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to vectors. Examples and focused applications are well presented along with an abundance of motivating exercises.
The approaches taken to topics such as the derivation of the derivatives of sine and cosine, the approach to limits and the use of "tables" of integration have been modified from the standards seen in other textbooks in order to maximize the ease with which students may comprehend the material. Additionally, the material presented is intentionally non-specific to any software or hardware platform in order to accommodate the wide variety and rapid evolution of tools used. Technology is referenced in the text and is required for a good number of problems.
Reviews
“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.” (Cristinel Mortici, zbMATH, Vol. 1325.00003, 2016)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Calculus with Vectors
Authors: Jay S. Treiman
Series Title: Springer Undergraduate Texts in Mathematics and Technology
DOI: https://doi.org/10.1007/978-3-319-09438-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-09437-3Published: 18 December 2014
Softcover ISBN: 978-3-319-35424-8Published: 24 September 2016
eBook ISBN: 978-3-319-09438-0Published: 30 October 2014
Series ISSN: 1867-5506
Series E-ISSN: 1867-5514
Edition Number: 1
Number of Pages: IX, 399
Number of Illustrations: 32 b/w illustrations, 250 illustrations in colour
Topics: Integral Transforms, Operational Calculus, Sequences, Series, Summability, Mathematical Methods in Physics