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Author  Title  Accn#  Year  Item Type  Claims 
1 
James J. Callahan 
Advanced calculus: A geometric view 
023607 
2010 
Book 

2 
BACHMAN, DAVID 
Geometric approach to differential forms 
021350 
2006 
Book 


1.


Title  Advanced calculus: A geometric view 
Author(s)  James J. Callahan 
Publication  New York, Springer, 2010. 
Description  xvi, 526p. 
Abstract Note  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 capstonesthe change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokesthe text treats other important topics in differential analysis, such as Morse's lemma and the PoincarÃ© 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 yearlong course on advanced calculus and for a variety of semester coursesincluding 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. 
ISBN,Price  9781441973313 : Eur 64.95(HB) 
Classification  517.2

Keyword(s)  1. CALCULUS
2. CRITICAL POINTS
3. DIFFERENTIAL FORMS
4. EBOOK
5. EBOOK  SPRINGER
6. GREEN'S THEOREM
7. INTEGRALS
8. INVERSE FUNCTION THEOREM
9. LINEAR APPROXIMATION
10. STOKES' THEOREM
11. SURFACE INTEGRALS
12. VARIABLES FORMULA

Item Type  Book 
MultiMedia Links
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Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
023607 

517.2/CAL/023607 
On Shelf 



I11976 

517.2/CAL/ 
On Shelf 



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