Free Delivery Over $100
|
|
|||
|
||||
OverviewThis book offers a rigorous and coherent introduction to the five basic number systems of mathematics, namely natural numbers, integers, rational numbers, real numbers, and complex numbers. It is a subject that many mathematicians believe should be learned by any student of mathematics including future teachers. The book starts with the development of Peano arithmetic in the first chapter which includes mathematical induction and elements of recursion theory. It proceeds to an examination of integers that also covers rings and ordered integral domains. The presentation of rational numbers includes material on ordered fields and convergence of sequences in these fields. Cauchy and Dedekind completeness properties of the field of real numbers are established, together with some properties of real continuous functions. An elementary proof of the Fundamental Theorem of Algebra is the highest point of the chapter on complex numbers. The great merit of the book lies in its extensive list of exercises following each chapter. These exercises are designed to assist the instructor and to enhance the learning experience of the students. Full Product DetailsAuthor: Sergei OvchinnikovPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 23 Weight: 0.429kg ISBN: 9781470420185ISBN 10: 147042018 Pages: 144 Publication Date: 30 April 2015 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsNatural numbers Integers Rational numbers Real numbers Complex numbers Sets, relations, functions Bibliography IndexReviewsAuthor InformationSergei Ovchinnikov, San Francisco State University, CA, USA. Tab Content 6Author Website:Countries AvailableAll regions |
||||
