Differential Calculus for Beginners by Joseph Edwards

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About this book :-
This small text has a sound introduction to a study of the Differential Calculus suitable for beginning to understand the calculus. The book’s structure is designed to make sure you don’t miss any critical concepts, moving from basic to more advanced ideas with clarity and precision. It covers important topics like limits, derivatives, and how to apply these ideas to real problems. The student possesses a fair knowledge of Algebra as far as the Exponential and Logarithmic Theorems; of Trigonometry as far as Demoivre’s Theorem, and of the rudiments of Cartesian Geometry as far as the equations of the several Conic Sections in their simplest forms. It teach beginners how to use simple methods, like Newton’s Method, to solve basic calculus problems, such as finding derivatives or solving equations.

Book Detail :-
This book has following details information.
Title: Differential Calculus for Beginners by Joseph Edwards
Publisher: Macmillan
Year: 1896
Pages: 293
Type: PDF
Language: English
ISBN-10 #: 9350942461
ISBN-13 #: 978-9350942468
License: N\A
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About Author :-
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Book Contents :-
This book has following table of contents.
1. Limiting Values, Elementary Undetermind Forms 2. Differentiation from the Definition, Tangent to a Curve, Differential Coefficient, A Rate-measurer 3. Fundamental Propositions, Constant, Sum, Product, Quotient, Function of a function 4. Standard Forms, Algebraic, Exponential, Logarithmic Forms, Direct and Inverse Trigonometric Functions, Logarithmic Differentiation, Partial Differentiation 5. Successive Differentiation, Standard results and processes, Use of Partial Fractions and Demoivre’s Theorem, Leibnitz’s Theorem, Note on Partial Fractions 6. Expansions, Elementary Methods, Taylor’s Theorem, Maclaurin’s Theorem, By the Formation of a Differential Equation, Differentiation or Integration of a Known Series 7. Infinitesimals, Orders of Smallness, Infinitesimals Difference of Small Arc from Chord 8. Tangents and Normals, Equations of Tangent and Normal, Cartesian Subtangent, Polar Co-ordinates, Subtangent, Subnormal, Angle between Radius Vector and Tangent, Pedal Equation, Maximum number of Tangents or Normals from a given point 9. Asymptotes, Methods of finding Asymptotes of a Curve in Cartesians, Polar Asymptotes 10. Curvature, Expressions for the Radius of Curvature, Co-ordinates of Centre of Curvature 11. Envelopes, Method of finding an Envelope 12. Associated Loci, Pedal Curves, Inversion Polar Reciprocal Involutes and Evolutes 13. Maxima and Minima, Elementary Algebraical and Geometrical Methods 14. Undetermined Forms, Applications of the Differential Calculus to the several forms 15. Limitations op Taylor’s Theorem, Lagrange-formula for Remainder after n terms of Taylor’s

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