Calculus Made Easy by Silvanus P. Thompson

Silvanus P. Thompson 58 - Preface to the Second Edition, Prologue

Calculus Made Easy by Silvanus P. Thompson, first published in 1910, is a classic introduction to the fundamentals of calculus.
This book demystifies both differential and integral calculus by presenting complex topics in a simple, accessible manner. Thompson critiques overly complicated texts and explains that calculus need not be daunting.
With clear language and intuitive examples, he guides readers through basic concepts, encouraging mastery of simple techniques before progressing to more advanced topics.
The book empowers beginners to grasp and enjoy the beauty of calculus, emphasizing that understanding grows naturally with practice and careful study, making learning rewarding indeed.

Posao
Teretana
Spavanje
Opuštanje
Putovanje

Calculus Made Easy by Silvanus P. Thompson

Epizode

Preface to the Second Edition, Prologue

Chapter I: To Deliver You from the Preliminary Terrors

Chapter II: On Different Degrees of Smallness

Chapter III: On Relative Growings

Chapter IV: Simplest Cases

Exercises I, Answers to Exercises I

Chapter V: Next Stage. What to Do With Constants

Exercises II, Answers to Exercises II

Chapter VI: Sums, Differences, Products, and Quotients

Exercises III, Answers to Exercises III

Chapter VII: Successive Differentiation

Exercises IV, Answers to Exercises IV

Chapter VIII: When Time Varies - Part 1

Chapter VIII: When Time Varies - Part 2

Exercises V, Answers to Exercises V

Chapter IX: Introducing a Useful Dodge

Exercises VI and VII, Answers to Exercises VI and VII

Chapter X: Geometrical Meaning of Differentiaton

Exercises VIII, Answers to Exercises VIII

Chapter XI: Maxima and Minima - Part 1

Chapter XI: Maxima and Minima - Part 2

Exercises IX, Answers to Exercises IX

Chapter XII: Curvature of Curves

Exercises X, Answers to Exercises X

Chapter XIII: Other Useful Dodges - Part 1: Partial Fractions

Exercises XI, Answers to Exercises XI

Chapter XIII: Other Useful Dodges - Part 2: Differential of an Inverse Function

Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (A)

Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 1 (B)

Exercises XII, Answers to Exercises XII

Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 2: The Logarithmic Curve

Chapter XIV: On True Compound Interest and the Law of Organic Growth - Part 3: The Die-away Curve

Exercises XIII, Answers to Exercises XIII

Chapter XV: How to Deal With Sines and Cosines - Part 1

Chapter XV: How to Deal With Sines and Cosines - Part 2: Second Differential Coefficient of Sine or Cosine

Exercises XIV, Answers to Exercises XIV

Chapter XVI: Partial Differentiation - Part 1

Chapter XVI: Partial Differentiation - Part 2: Maxima and Minima of Functions of two Independent Variables

Exercises XV, Answers to Exercises XV

Chapter XVII: Integration - Part 1

Chapter XVII: Integration - Part 2: Slopes of Curves, and the Curves themselves

Exercises XVI, Answers to Exercises XVI

Chapter XVIII: Integrating as the Reverse of Differentiating - Part 1

Chapter XVIII: Integrating as the Reverse of Differentiating - Part 2: Integration of the Sum or Difference of two Functions

Chapter XVIII: Integrating as the Reverse of Differentiating - Part 3: How to Deal With Constant Terms

Chapter XVIII: Integrating as the Reverse of Differentiating - Part 4: Some Other Integrals

Chapter XVIII: Integrating as the Reverse of Differentiating - Part 5: On Double and Triple Integrals

Exercises XVII, Answers to Exercises XVII

Chapter XIX: On Finding Areas by Integrating - Part 1

Chapter XIX: On Finding Areas by Integrating - Part 2: Areas in Polar Coordinates