Differential Calculus for Beginners by Joseph Edwards
About this book :-
"Differential Calculus for Beginners" by Joseph Edwards is a classic textbook designed to introduce students to the fundamentals of "differential calculus". First published in 1893, the book focuses on presenting the subject in a clear, structured, and accessible manner. Edwards carefully explains basic concepts such as limits, continuity, and differentiation, ensuring that beginners can grasp the principles without being overwhelmed by complexity.
A key strength of the book is its emphasis on "worked examples". Each topic is reinforced with numerous step-by-step problems, allowing students to see the practical application of theoretical concepts. This approach helps learners build problem-solving skills while deepening their understanding of differentiation and its uses in real-world contexts. Edwards’ examples cover a variety of scenarios, making the material both engaging and relevant for students.
Renowned for its clarity and methodical teaching style, Joseph Edwards’ textbook remains a valuable resource for anyone learning "differential calculus". Its focus on foundational concepts and practical exercises makes it ideal for beginners seeking a strong mathematical base. Even over a century later, the book continues to serve as an effective guide for students and educators who want a thorough yet approachable introduction to calculus.
Book Detail :-
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:
Public Domain Work
Amazon:
Amazon
About Author :-
The author
Joseph Edwards
(1854–?) was a "British mathematician" and educator known for his influential work in mathematical education. Educated at Owens College, Manchester, and Sidney Sussex College, Cambridge, he achieved a high distinction in the Mathematical Tripos and dedicated his career to teaching and writing. He authored several foundational "calculus textbooks", including Differential Calculus for Beginners and Integral Calculus for Beginners. Edwards’ books are celebrated for their clarity, structured explanations, and numerous examples, making complex concepts accessible to students. His contributions continue to provide valuable resources for learners and educators seeking a solid foundation in "calculus".
Book 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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