A Treatise On the Differential and Integral Calculus: And the Calculus of Variations by Thomas Granger Hall
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About this book :-
This book focuses on basic calculus as well as the more advanced calculus of variations which is used to find optimal solutions to problems involving functions. It explained important ideas like differentiation and integration. It also helped introduce variational methods, like the **Euler-Lagrange equation**, to a broader audience. It doesn't go into iterative methods, but these methods are used today to solve complicated problems in math.
Book Detail :-
This book has following details information.
Title:
A Treatise On the Differential and Integral Calculus: And the Calculus of Variations by Thomas Granger Hall by NA
Publisher:
J. W. Parker, London
Series:
Selected by Scholars
Year:
1846
Pages:
460
Type:
PDF
Language:
English
ISBN-10 #:
1022138545
ISBN-13 #:
978-1022138544
Country:
Pakistan
License:
N\A
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
Part-I Differential Calculus
1. Definitions and Principles
2. Differentiation of Circular Functions
3. Successive Differentiation
4. Taylor's Theorem
5. Failure of Taylor's Theorem—Explanation of the Term
6. PAGE Vanishing Fractions
7. Maxima and Minima defined
8. Functions of two or more Variables
9. Maxima and Minima of Functions of two Variables
10. Equations to Curves
11. Tangents to Curves—Equation to Tangent
12. I'Abh The Differentials of the Areas and Lengths of Curve?
13. Singular Points in Curves
14. Curvature and Osculating Curves
15. Envelopes to Curves
16. Change of the Independent Variable
Part-II Integral Calculus
1. Definition of Integration
2. Rational Fractions
3. Irrational Quantities
4. Integration of Logarithmic and Exponential Functions
5. Integration of Circular Functions
6. Methods of finding the Areas and Lengths of Curves, aiul the Volumes and Surfaces of Solids
7. Differential Equations, Order and Degree of
8. Calculus of Variations
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