000			01551 a2200229 4500
008			240731b |||||||| |||| 00| 0 eng d
020			_a978-9810233044 (HB)
041			_aeng
080			_a511 _bRANA
100			_aRana, Inder K
245			_aFrom Numbers to Analysis
260			_bWorld Scientific Publishing _c1998 _aSingapore
300			_axv, 370p. _bill.
504			_aIncludes References (359-362) and Index
505			_a 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
520			_aStarting 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.
650			_aSet theory
650			_aNumber theory
650			_aReal Numbers
690			_aMathematics
942			_cBK
999			_c60545 _d60545