
In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by the use of fully interactive three-dimensional graphics throughout the text. Multivariable Calculus opens with an introduction to points, curves and surfaces, easing student transitions from two- to three-dimensions, and concludes with the main theorems of vector calculus. All standard topics of multivariable calculus are covered in between, including a variety of applications within the physical sciences. The exposition combines rigor and intuition, resulting in a well-rounded resource for students of the subject. In addition, the interactive three-dimensional graphics, accessible through the electronic text or via the companion website, enhance student understanding while improving their acuity. The style of composition, sequencing of subjects, and interactive graphics combine to form a useful text that appeals to a broad audience: students in the sciences, technology, engineering, and mathematics alike.
This text investigates the core principles of multivariable calculus by integrating traditional mathematical rigor with modern, interactive three-dimensional visualization tools. Rolland Trapp, an experienced educator in the field, constructs a pedagogical framework that bridges the gap between two-dimensional and three-dimensional conceptualization. By utilizing electronic resources and companion websites, the author aims to improve student spatial acuity and comprehension of complex vector calculus theorems.
What You Will Find
Scope Limits
Educators and students frequently note the balance between formal mathematical rigor and the intuitive nature of the provided interactive graphics. The text is recognized as a functional resource for undergraduate students across STEM disciplines seeking to improve their spatial reasoning in higher-dimensional mathematics.
Page Count:
480
Publication Date:
2019-01-01
Publisher:
OUP Oxford
ISBN-10:
0192572288
ISBN-13:
9780192572288
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