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Very Short Introductions: Brilliant, sharp, inspiringThe 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.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
This book investigates the historical development and foundational rigor of mathematical analysis, tracing its evolution from the intuitive calculus of the 17th century to the formal discipline established in the 19th century. Richard Earl, an experienced mathematician and educator, utilizes a historical framework to explain how figures like Bolzano, Cauchy, and Weierstrass transformed shaky foundations into a precise field. The text bridges the gap between basic calculus and advanced mathematical theory, demonstrating how analysis serves as the bedrock for modern scientific modeling.
What You Will Find
Experts and educators frequently cite this volume as an accessible entry point for students transitioning from introductory calculus to more abstract mathematical study. Readers often note that while the prose is concise, it maintains a high level of conceptual density suitable for those with a foundational background in the subject.
Page Count:
224
Publication Date:
2023-09-22
Publisher:
Oxford University Press
ISBN-10:
019886891X
ISBN-13:
9780198868910
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