Mathematical analysis : a very short introduction / Richard Earl.

Format:

Book

Author/Creator:

Earl, Richard, author.

Series:

Very short introductions ; 734.

Very short introductions ; 734

Language:

English

Subjects (All):

Mathematical analysis.

Physical Description:

xxiii, 196 pages : illustrations ; 18 cm.

Place of Publication:

Oxford, United Kingdom : Oxford University Press, [2023]

Summary:

"The 17th-century calculus of Newton and Leibniz was built on shaky foundations, and it wasn't until the 18th and 19th centuries that mathematicians -- especially Bolzano, Cauchy, and Weierstrass -- began to establish a rigorous basis for the subject. The resulting discipline is now known to mathematicians as analysis. This book, aimed at readers with some grounding in mathematics, describes the nascent evolution of mathematical analysis, its development as a subject in its own right, and its wide-ranging applications in mathematics and science, modelling reality from acoustics to fluid dynamics, from biological systems to quantum theory"-- Publisher's description.

Contents:

1. Taming infinity

2. All change...the calculus of Fermat, Newton, and Leibniz

3. To the limit: analysis in the 18th and 19th centuries

4. Should I believe my computer?

5. Dimensions aplenty

6. I'll name that tune in...

7. Putting the i in analysis

8. But there's more...

Notes:

Includes bibliographical references (pages 191-192) and index.

ISBN:

9780198868910

019886891X

OCLC:

1395111401