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.
Rezensionen / Stimmen
[the book] covers the basic topics of calculus with functions of several variables with an original presentation that insists more on calculus and geometric interpretations than on theoretical details. It will certainly be very useful for students and for anyone looking for a first introduction to multivariable calculus. Reading it is a pleasure. * Julia Cufi, zbMath * Multivariable Calculus is, in my view, extremely well written and an all-round superb book from which students of mathematics and the physical sciences can gain an excellent understanding of the subject. The exposition is relaxed and informal, reading more like a conversation in parts...the choice of narrative style will, I imagine to a wide target audience and ensure as far as possible that the book remains accessible for all. * James Christian Cmath, FIMA, University of Salford, Mathematics Today *
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 236 mm
Breite: 160 mm
Dicke: 28 mm
Gewicht
ISBN-13
978-0-19-883517-2 (9780198835172)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Rolland Trapp is professor of mathematics at California State University, San Bernardino. He's been an educator for 25 years, and received his PHD from Columbia in 1990. His research endeavours have focused around knot theory and geometric structures for link complements. He's been actively involved in undergraduate research having co-directed a Research Experiences for Undergraduates for 16 years, and being the principal investigator for a 5-year program intended to recruit students to STEM disciplines through early research experiences. He received the College of Natural Sciences "Excellence in Teaching" award at CSUSB in 2016
Autor*in
Professor of MathematicsProfessor of Mathematics, California State University, San Bernardino
1: Introduction to three dimensions
2: Introduction to vectors
3: Differentiation
4: Integration
5: Vector Analysis
