Advanced calculus - Info and Reading Options
a geometric view
By James Callahan
"Advanced calculus" was published by Springer in 2010 - New York, it has 526 pages and the language of the book is English.
“Advanced calculus” Metadata:
- Title: Advanced calculus
- Author: James Callahan
- Language: English
- Number of Pages: 526
- Publisher: Springer
- Publish Date: 2010
- Publish Location: New York
“Advanced calculus” Subjects and Themes:
- Subjects: ➤ Calculus - Study and teaching (Higher) - Mathematical analysis - Functional analysis - Differential equations - Numerical approximation theory - Mathematics - Applied physical engineering - Computer science - Analyse (wiskunde) - Toegepaste wiskunde - Economie - Informatica - Mathematische modellen - Wiskunde - Global analysis (Mathematics)
Edition Specifications:
- Pagination: xvi, 526 p. :
Edition Identifiers:
- The Open Library ID: OL25343360M - OL16668609W
- Online Computer Library Center (OCLC) ID: 648932971
- Library of Congress Control Number (LCCN): 2010935598
- ISBN-13: 9781441973313
- ISBN-10: 1441973311
- All ISBNs: 1441973311 - 9781441973313
AI-generated Review of “Advanced calculus”:
"Advanced calculus" Table Of Contents:
- 1- Starting points
- 2- Geometry of linear maps
- 3- Approximations
- 4- The derivative
- 5- Inverses
- 6- Implicit functions
- 7- Critical points
- 8- Double integers
- 9- Evaluating double integers
- 10- Surface integrals
- 11- Stoke's theorem.
"Advanced calculus" Description:
The Open Library:
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 invites geometric visualization; 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, such as the role of the derivative as the local linear approximation to a map and its role in the change of variables formula for multiple integrals. 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. 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. It avoids duplicating the material of real analysis. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.
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