Advanced Calculus: A Geometric View (Undergraduate Texts in Mathematics) - Softcover

Callahan, James J. J.

Softcover

ISBN 10: 1493940708 ISBN 13: 9781493940707

Verlag: Springer, 2016

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Críticas

From the reviews:

“Many concepts in calculus and linear algebra have obvious geometric interpretations. ... This book differs from other advanced calculus works ... it can serve as a useful reference for professors. ... it is the adopted course resource, its inclusion in a college library’s collection should be determined by the size and interests of the mathematics faculty. Summing Up ... . Upper-division undergraduate through professional collections.” (C. Bauer, Choice, Vol. 48 (8), April, 2011)

“The author of this book sees an opportunity to bring back a more geometric, visual and physically-motivated approach to the subject. ... The author makes exceptionally good use of two and three-dimensional graphics. Drawings and figures are abundant and strongly support his exposition. Exercises are plentiful and they cover a range from routine computational work to proofs and extensions of results from the text. ... Strong students ... are likely to be attracted by the approach and the serious meaty content.” (William J. Satzer, The Mathematical Association of America, January, 2011)

“A new geometric and visual approach to advanced calculus is presented. ... The book can be useful a textbook for beginners as well as a source of supplementary material for university teachers in calculus and analysis. ... the book meets a wide auditorium among undergraduate and graduate students in mathematics, physics, economics and in other fields which essentially use mathematical models. It is also very interesting for teachers and instructors in Calculus and Mathematical Analysis.” (Sergei V. Rogosin, Zentralblatt MATH, Vol. 1205, 2011)

Reseña del editor

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus.  Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma.  The ideas behind most topics can be understood with just two or three variables.  This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics.  There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry.  The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2016
• ISBN 10: 1493940708
• ISBN 13: 9781493940707
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 544