Advanced calculus : theory and practice
- 2nd ed.
- 2021 Taylor and Francis Group, Boca Raton :
- xiv, 608 p. ; ill., 26 cm
- Textbooks in mathematics .
Includes bibliographical references and index.
Offers a text for a one- or two-semester course on advanced calculus or analysis. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book explains how various topics in calculus may seem unrelated but have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems.
9781138568211
Infinitesimal calculation Mathematics Differential Equations Differential Equations Functional analysis Cauchy's mean value theorem Bolzano Weierstrass theorem Abel's test Even function Green's theorem Heine Boral theorem Implicit function theorem Lipschitz continuous function Periodic function Riemann's theorem Squeeze theorem Taylor's formula Weierstrass theorem