Mathematical Analysis: A Very Short Introduction [#734]

Author:

Richard Earl

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Discusses central mathematical, philosophical, and physical concepts of the field and its historical development from the ancient Greeks to the 21st century
Highlights the contributions of many mathematicians and scientists towards a better understanding to the study of infinity and the infinite processes involved in analysis
Relates many of the applications of mathematical analysis, from acoustics and fluid dynamics to quantum theory

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.

Index:

Acknowledgements
1: Taming Infinity
2: All change...
3: Should I believe my computer?
4: Dimensions aplenty
5: I'll name that tune in...
6: Putting the i in analysis
7: But there's more...
Appendix
Historical timeline
References
Further Reading
Index

About the author:

Richard Earl, Ben Delo Fellow in Mathematics, Worcester College, University of Oxford

Richard Earl is a Departmental Lecturer in the Mathematical Institute, University of Oxford, and the Ben Delo Fellor in Mathematics at Worcester College, Oxford. From 2003-13, he was Admissions Coordinator and Schools Liaison Officer in the department, roles which included promoting mathematics within schools and colleges. From 2013-22, he was Director of Undergraduate Studies. He has won several teaching awards within the University for his teaching and lecturing. He is the author of Towards Higher Mathematics: A Companion (2017), Topology: A Very Short Introduction (OUP, 2019), and editor of the current edition of The Concise Oxford Dictionary of Mathematics (OUP, 2021).

Product details

ISBN : 9780198868910

Author:

Richard Earl

Pages: 208 Pages

Format: Hardcover

Size: 111 x 174 mm

Pub date: Jun 2023

Series: Very Short Introductions

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