Calculus and Linear Algebra Vol. 2 by Wilfred Kaplan, Donald Lewis
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About this book :-
The background assumed is that usually obtained in the freshman-sophomore calculus sequence. Linear algebra is not assumed to be known but is developed in the first chapter. Subjects discussed include all the topics usually found in texts on advanced calculus. However. there is more than the usual emphasis on applications and on physical motivation. Vectors are introduced at the outset and serve at many points to indicate geometrical and physical significance of mathematical relations. Numerical methods are touched upon at various points, both because of their practical value and because of the insights they give into the theory. A sound level of rigor is maintained throughout. Definitions are clearly labeled as such and all important results are formulated as theorems. A few of the finer points of real variable theory are treated at the ends of Chapters 2, 4, and 6. A large number of problems (with answers) are distributed throughout the text. These include simple exercises as well as complex ones planned to stimulate critical reading. Some points of the theory are relegated to the problems. with hints given where appropriate. Generous references to the literature are given, and each chapter concludes with a list of books for supplementary reading. Starred sections are less essential in a first course.
Book Detail :-
This book has following details information.
Title:
Calculus and Linear Algebra Vol. 2 by Wilfred Kaplan, Donald Lewis
Publisher:
University of Michigan Library
Year:
2007
Pages:
606
Type:
PDF
Language:
English
ISBN-10 #:
1425589340
ISBN-13 #:
978-1425589349
License:
N\A
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Book Contents :-
This book has following table of contents.
Vector Spaces - Matrices and Determinents - Linear Euclidean Geometry - Differential Calculus of Functions and Several Variables - Integral Calculus of Functions and Several Variables - Ordinary Differential Equations
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