Calculus: Theory and Applications by Kenneth Kuttler
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About this book :-
The readers to be able to use a calculator whenever it would be helpful to do so. Many of the exercises will be very troublesome without one. Having said this, calculus is not about using calculators or any other form of technology. When the syntax and arcane notation associated with technology are presented, these things become the topic of study rather than the concepts of calculus. This is a book on calculus and should not be considered an instruction manual for the use of technology.
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.
This book is not about calculator explorations, colorful diagrams, or vague intuitive arguments. The narrative is tightly written and the author is committed to stating results precisely and making sure they are proved.
Book Detail :-
This book has following details information.
Title:
Calculus: Theory and Applications by Kenneth Kuttler by NA
Publisher:
World Scientific Pub Co Inc
Series:
FreeCompBooks, FreeTechBooks
Year:
2004
Pages:
1100
Type:
PDF
Language:
English
ISBN-10 #:
9814335711
ISBN-13 #:
978-9814335713
Country:
Pakistan
License:
N\A
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
Introduction - The Real Numbers - Basic Geometry And Trigonometry - The Complex Numbers - Functions Of One Variable - Functions - Derivatives - Some Important Special Functions - Properties And Applications Of Derivatives - Antiderivatives And Differential Equations - The Integral - Infinite Series - Vector Valued Functions - Rn - Vector Products - Functions - Limits And Derivatives - Line Integrals - The Circular Functions Again - Curvilinear Coordinate Systems - Functions Of More Than One Variable - Linear Algebra - Functions Of Many Variables - The Riemann Integral On Rn - The Integral On Other Sets - Vector Calculus - The Fundamental Theorem Of Algebra
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