Advanced Calculus
Author:   H K Nickerson ,  N E Steenrod ,  N E Steenrod
Publisher:   Dover Publications Inc.
ISBN:  

9780486480909


Pages:   560
Publication Date:   28 October 2011
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Advanced Calculus


Overview

""""This book is a radical departure from all previous concepts of advanced calculus,"""" declared the Bulletin of the American Mathematics Society, """"and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics."""" Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives - gradient, divergent, curl, and exterior - are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.

Full Product Details

Author:   H K Nickerson ,  N E Steenrod ,  N E Steenrod
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 16.40cm , Height: 2.60cm , Length: 23.30cm
Weight:   0.753kg
ISBN:  

9780486480909


ISBN 10:   0486480909
Pages:   560
Publication Date:   28 October 2011
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   No Longer Our Product
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

I The Algebra of Vector Spaces II Linear Transformations of Vector Spaces III The Scalar Product IV Vector Products in R3 V Endomorphisms VI Vector-Valued Functions of a Scalar VII Scalar-Valued Functions of a Vector VIII Vector-Valued Functions of a Vector IX Tensor Products and the standard Algebras X Topology and Analysis XI Differential Calculus of Forms XII Integral Calculus of Forms XIII Complex Structure

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