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From Numbers To Analysis - Inder K Rana

From Numbers To Analysis

(Autor)

Buch | Hardcover
388 Seiten
1998
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3304-4 (ISBN)
CHF 106,50 inkl. MwSt
Starting with the Zermelo-Fraenhel axiomatic set theory, this is a self-contained construction of real and complex numbers. It provides the logical foundation of analysis and gives a basis to abstract algebra. It also includes short life sketches of some of the contributing mathematicians.
Starting with the Zermelo-Fraenhel axiomatic set theory, this book gives a self-contained, step-by-step construction of real and complex numbers. The basic properties of real and complex numbers are developed, including a proof of the Fundamental Theorem of Algebra. Historical notes outline the evolution of the number systems and alert readers to the fact that polished mathematical concepts, as presented in lectures and books, are the culmination of the efforts of great minds over the years. The text also includes short life sketches of some of the contributing mathematicians. The book provides the logical foundation of Analysis and gives a basis to Abstract Algebra. It complements those books on real analysis which begin with axiomatic definitions of real numbers.The book can be used in various ways: as a textbook for a one semester course on the foundations of analysis for post-calculus students; for a seminar course; or self-study by school and college teachers.

Axioms of set theory; natural numbers; integers; rational numbers; real numbers; construction and uniqueness; properties of real numbers; complex numbers.

Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 981-02-3304-3 / 9810233043
ISBN-13 978-981-02-3304-4 / 9789810233044
Zustand Neuware
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