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Calculus, Applications and Theory by Kenneth Kuttler
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About this book :-
Calculus, Applications and Theory written by
Kenneth Kuttler . This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems. Calculus consists of the study of limits of various sorts and the systematic exploitation of the completeness axiom. It was developed by physicists and engineers over a period of several hundred years in order to solve problems from the physical sciences. It is the language by which precision and quantitative predictions for many complicated problems are obtained. It is used to find lengths of curves, areas and volumes of regions which are not bounded by straight lines. It is used to predict and account for the motion of satellites. It is essential in order to solve many maximization problems and it is prerequisite material in order to understand models based on differential equations. These and other applications are discussed to some extent in this book.
It is assumed the reader has a good understanding of algebra on the level of college algebra or what used to be called algebra II along with some exposure to geometry and trigonometry although the book does contain an extensive review of these things.
Book Detail :-
Title: Calculus, Applications and Theory
Edition:
Author(s): Kenneth Kuttler
Publisher:
Series:
Year: 2004
Pages: 635
Type: PDF
Language: English
ISBN:
Country: US
About Author :-
The author Kenneth Kuttler is Professor in the Department of Mathematics at at Brigham Young University, Provo, Utah, US. His primary area of research is Partial Differential Equations.
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Book Contents :-
Calculus, Applications and Theory written by
Kenneth Kuttler
cover the following topics.
1. Introduction
Part-I Preliminaries
2. The Real Numbers
3. Basic Geometry And Trigonometry
4. The Complex Numbers
Part-II Functions Of One Variable
5. Functions
6. Derivatives
7. Some Important Special Functions
8. Properties And Applications Of Derivatives
9. Antiderivatives And Differential Equations
10. The Integral
11. Infinite Series
Part-III Vector Valued Functions
12. Rn
13. Vector Products
14. Functions
15. Limits And Derivatives
16. Line Integrals
17. The Circular Functions Again
18. Curvilinear Coordinate Systems
19. Linear Algebra
20. Functions Of Many Variables
21. The Riemann Integral On Rn
22. The Integral On Other Sets
23. Vector Calculus
A The Fundamental Theorem Of Algebra
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