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Applied Calculus Principles and Applications by Robert Thomas



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About this book :-
It is a foundational text, introducing calculus concepts to students and engineers. The object of this book is to set forth the methods of the Calculus in such a way as to lead to a working and fruitful knowledge of its elements, to exhibit something of its power, and to induce its use as an efficient tool. It is an effort to make clear the basic principles and to show that fundamental ideas are involved in familiar problems. While formulas and algebraic methods are necessary aids to concise and formal presentation, they are not essential to the expression of the principles and underlying ideas of the Calculus.

Book Detail :-
This book has following details information.
Title: Applied Calculus Principles and Applications by Robert Thomas
Publisher: D. Van Nostrand company, New York
Year: 1919
Pages: 520
Type: PDF
Language: English
ISBN-10 #: 1346183767
ISBN-13 #: 978-1346183763
License: N\A
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About Author :-
The author NA NA

Book Contents :-
This book has following table of contents.
0. INTRODUCTION. Part-I DIFFERENTIAL CALCULUS. 1. FUNCTIONS. DIFFERENTIALS. RATES. 2. DIFFERENTIATION. DERIVATIVES. LIMITS. 3. SUCCESSIVE DIFFERENTIATION. ACCELERATION. CURVILINEAR MOTION. 4. GEOMETRICAL AND MECHANICAL APPLICATIONS 5. SUCCESSIVE INTEGRATION. MULTIPLE INTEGRALS. SURFACES AND VOLUMES. 6. CURVATURE. EVOLUTES. 7. CHANGE OF THE INDEPENDENT VARIABLE. FUNCTIONS OF TWO OR MORE VARIABLES Part-II INTEGRAL CALCULUS 1. INTEGRATION. STANDARD FORMS. 2. DEFINITE INTEGRALS. AREAS. 3. INTEGRAL CURVES. LENGTHS OF CURVES. CURVE OF A FLEXIBLE CORD. 4. INTEGRATION AS THE LIMIT OF A SUM. SURFACES AND VOLUMES. 5. SUCCESSIVE INTEGRATION. MULTIPLE INTEGRALS. SURFACES AND VOLUMES. 6. MOMENT OF INERTIA. CENTER OF GRAVITY. 7. APPLICATIONS. PRESSURE. STRESS. ATTRACTION. 8. INFINITE SERIES. INTEGRATION BY SERIES. 9. TAYLOR'S THEOREM. EXPANSION OF FUNCTIONS. INDETERMINATE FORMS. 10. DIFFERENTIAL EQUATIONS. APPLICATIONS. CENTRAL FORCES.

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