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Advanced Calculus - A Geometric View (Hardcover, Edition.)
Loot Price: R1,884
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Advanced Calculus - A Geometric View (Hardcover, Edition.)
Series: Undergraduate Texts in Mathematics
Expected to ship within 9 - 15 working days
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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 Poincare lemma. The ideas behind most topics can be
understood with just two or three variables. The book incorporates
modern computational tools to give visualization real power. Using
2D and 3D graphics, the book offers new insights into fundamental
elements of the calculus of differentiable maps. The geometric
theme continues with an analysis of the physical meaning of the
divergence and the curl at a level of detail not found in other
advanced calculus books. This is a textbook for undergraduates and
graduate students in mathematics, the physical sciences, and
economics. Prerequisites are an introduction to linear algebra and
multivariable calculus. 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.
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