Calculus Made Easy: Differential Calculus and The Integral Calculus

Silvanus Thompson | Category: MathematicsBook Details

ISBN: 9789386677037
YOP: 2018
Pages: 292

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The success of this work has led the author to add a considerable number of worked examples and exercises. Advantage has also been taken to enlarge certain parts where experience showed that further explanations would be useful. The author acknowledges with
gratitude many valuable suggestions and letters received students, and critics.

I. To deliver you from the Preliminary Terrors
II. On Different Degrees of Smallness
III. On Relative Growings
IV. Simplest Cases
V. Next Stage. What to do with Constants
VI. Sums, Differences, Products and Quotients
VII. Successive Differentiation
VIII. When Time Varies
IX. Introducing a Useful Dodge
X. Geometrical Meaning of Differentiation
XI. Maxima and Minima
XII. Curvature of Curves
XIII. Other Useful Dodges
XIV. On true Compound Interest and the Law of Organic Growth
XV. How to deal with Sines and Cosines
XVI. Partial Differentiation
XVII. Integration
XVIII. Integrating as the Reverse of Differentiating
XIX. On Finding Areas by Integrating
XX. Dodges, Pitfalls, and Triumphs
XXI. Finding some Solutions

The success of this work has led the author to add a considerable number of worked examples and exercises. Advantage has also been taken to enlarge certain parts where experience showed that further explanations would be useful. The author acknowledges with
gratitude many valuable suggestions and letters received students, and critics.

I. To deliver you from the Preliminary Terrors
II. On Different Degrees of Smallness
III. On Relative Growings
IV. Simplest Cases
V. Next Stage. What to do with Constants
VI. Sums, Differences, Products and Quotients
VII. Successive Differentiation
VIII. When Time Varies
IX. Introducing a Useful Dodge
X. Geometrical Meaning of Differentiation
XI. Maxima and Minima
XII. Curvature of Curves
XIII. Other Useful Dodges
XIV. On true Compound Interest and the Law of Organic Growth
XV. How to deal with Sines and Cosines
XVI. Partial Differentiation
XVII. Integration
XVIII. Integrating as the Reverse of Differentiating
XIX. On Finding Areas by Integrating
XX. Dodges, Pitfalls, and Triumphs
XXI. Finding some Solutions