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
Read Online Advanced Calculus: A Geometric View (Undergraduate Texts in Mathematics) - James J. Callahan | ePub
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Apr 8, 2010 many advanced calculus texts contain more topics than this problemtext. Differential calculus is a highly geometric subject—a fact which is not compactness from the point of view of a single example, the real line.
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.
Advanced calculus: a geometric view 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.
Introduction to differential calculus systematic studies with engineering applications for beginners introduction to differential calculus systematic advanced.
Using 2d and 3d graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps.
Buy advanced calculus: a geometric view (undergraduate texts in mathematics ) at desertcart.
The notion of a course in “advanced calculus” has changed considerably since the days of the classic textbooks of taylor and buck, published in the 1950s. In one direction, the course has evolved to provide a rigorous basis for calculus and thus toward introductory real analysis.
This book is based on an honors course in advanced calculus that the authors in the calculus of one variable from a mathematically rigorous point of view,.
Advanced calculus did not, in the process, become less important, but its role in the curriculum.
This book presents a unified view of calculus in which theory and practice with a fresh geometric approach that incorporates more than 250 illustrations, this.
Today it is possible to describe differential geometry as the study of structures on the tangent space, and this text develops this point of view.
1 roark’s formulas for stress and strain by warren young, richard budynas.
) advanced calculus a geometric view springer verlag new york ( 2010) item preview.
This book is based on an honors course in advanced calculus that we gave in the of view. Today we regard a straight line as being a set of geometric points.
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