From Numbers to Analysis
Language: English Publication details: Singapore World Scientific Publishing 1998Description: xv, 370p. illISBN: 978-9810233044 (HB)Subject(s): Set theory | Number theory | Real Numbers | MathematicsCurrent library | Home library | Call number | Materials specified | Status | Date due | Barcode |
---|---|---|---|---|---|---|
IMSc Library | IMSc Library | 511 RANA (Browse shelf (Opens below)) | Available | 78167 |
Includes References (359-362) and Index
1. Set Theory
2. Natural Numbers
3. Integers
4. Rational Numbers
5. Real Numbers: Construction and Uniqueness
6. Properties of Real Numbers
7. Complex Number
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.
There are no comments on this title.