Calculus made easy : being a very-simplest introduction to those beautiful methods of reckoning which are generally called by the terrifying names of the differential calculus and the integral calculus
著者
書誌事項
Calculus made easy : being a very-simplest introduction to those beautiful methods of reckoning which are generally called by the terrifying names of the differential calculus and the integral calculus
Macmillan, 1999
Newly rev., updated, expanded, and annotated for its 1998 ed.
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注記
Includes Index
"The original edition of Calculus Made Easy was written by Silvanus P. Thompson and published in 1910,..."
内容説明・目次
内容説明
Calculus Made Easy has been a classic introduction to the subject ever since it was first published by Silvanus P.Thompson in 1910.
In the first major revision of the text since 1946, Martin Gardner - the 'Mathematical Games' columnist for Scientific American and author of over 50 books and innumerable articles - has thoroughly updated the text to reflect recent developments in method and terminology, written an extensive preface and three new chapters, and added more than 20 recreational problems for practice and enjoyment. He has transformed this classic primer into a modern masterpiece that explains the timeless concepts of calculus in a contemporary and user-friendly voice.
目次
Prologue.- To Deliver you from the Preliminary Terrors.- On Different Degrees of Smallness.- On Relative Growings.- Simplest Cases.- Next Stage: What to do with Constants.- Sums, Differences, Products and Quotients.- Successive Differentiation.- When Time Varies.- Introducing a Useful Dodge.- Geometrical Meaning of Differentiation.- Maxima and Minima.- Curvature of Curves.- Other Useful Dodges.- On True Compound Interest and the Law of Organic Growth.- How to Deal with Sines and Cosines.- Partial Differentiation.- Integration.- Integrating as the Reverse of Differentiating.- On Finding Areas by Integration.- Dodges, Pitfalls and Triumphs.- Finding Solutions.- A Little More about Curvature of Curves.- How to Find the Length of an Arc on a Curve.- Epilogue and Apologue.
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