Differential and Integral Calculus by C. E. Love, E. D. Rainville

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About this book :-
This book presents a first course in the calculus substantially as the author has taught it at the University of Michigan for a number of years. The following points may be mentioned as more or less perminent features of the book. This text is intended to contain a precise statement of the fundamental principle involved and to insure the student's clear understanding of this principle without distracting his attention by the discussion of a multitue of details. The accompanying exercises are intended to present the problem in hand in a great variety of forms and guises and to train the student in adapting the general methods of the text to fit these various forms. The constant aim is to prevent the work from degenerating into more mechanical routine, as it so often tends to do. Whereeve possible except in the purely formal parts of the course, the summarizing of the theory into rules or formulas which can be applied blindly has been avoided. For instance in the chapter on geometric applications of the definite integral, stress is laid on the fact that basic formulas are those of elementary geometry and special formulas involving a coordinate system are omitted.

Book Detail :-
This book has following details information.
Title: Differential and Integral Calculus by C. E. Love, E. D. Rainville by NA
Publisher: The MacMillan Company
Series: eBookDirectory, FreeBookCentre
Year: 1916
Pages: 369
Type: PDF
Language: English
ISBN-10 #: 1440086176
ISBN-13 #: 978-1440086175
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
Function Limits Continuity - The Derivative - Differentiation of Algebraic Functions - Geometric Application - Differentiation of Transcendental Functions - The Differential - Curvature - Applications of the Derivative in Mechanics - Curve Tracing in Cartesian Coordinates - Curve Tracing in Polar Coordinates - The Indefinite Integral - Standard Formulas of Integration - Integration of Rational Fractions - The Definite Integral - The Definite Integral as the Limit of a Sum - Integral Tables - Improper Integrals - Centroids, Moments of Inertia - Law of the Mean, Evaluation of Limits - Infinite Series, Taylor's Theorem - Functions of Several Variables - Multiple Integrals - Fluid Pressure - Differential Equations of the First Order - Differential Equations of the Higher Order - Applications of the Differential Equations in Mechanics

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