A Brief History of Analysis (eBook)

With Emphasis on Philosophy, Concepts, and Numbers, Including Weierstraß' Real Numbers

Detlef D. Spalt (Autor)

eBook Download: PDF

2022 | 1st ed. 2022
XXIII, 254 Seiten
Springer International Publishing (Verlag)
978-3-031-00650-0 (ISBN)

Infos

This book explores the origins of mathematical analysis in an accessible, clear, and precise manner. Concepts such as function, continuity, and convergence are presented with a unique historical point of view. In part, this is accomplished by investigating the impact of and connections between famous figures, like Newton, Leibniz, Johann Bernoulli, Euler, and more. Of particular note is the treatment of Karl Weierstraß, whose concept of real numbers has been frequently overlooked until now. By providing such a broad yet detailed survey, this book examines how analysis was formed, how it has changed over time, and how it continues to evolve today. A Brief History of Analysis will appeal to a wide audience of students, instructors, and researchers who are interested in discovering new historical perspectives on otherwise familiar mathematical ideas.

Produkt-Details

• Erscheint lt. Verlag: 2.8.2022
• Zusatzinfo: XXIII, 254 p. 23 illus.
• Sprache: englisch
• Original-Titel: Eine kurze Geschichte der Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Schlagworte: Admissible curves • Bernoulli Leibniz • Cauchy function history • d'Alembert algebraic analysis • Descartes geometry history • Descartes math formula • Euler math history • False roots • Lagrange algebraic analysis • Leibniz infinite series • Leibniz theorem • Mathematical analysis history • Mathematical formula history
• ISBN-10: 3-031-00650-X / 303100650X
• ISBN-13: 978-3-031-00650-0 / 9783031006500