Produced by the American Mathematical Society, the Sally Series produces "pure and applied" mathematical textbooks for undergraduate students. This book, volume 23 in the series, focuses on the basic number systems of mathematics: natural numbers, integers, rational numbers, real numbers, and complex numbers. The authors begin by covering the development of Peano arithmetic, mathematical induction and recursion theory. They then discuss integers, rings and ordered integral domains. They also include an elementary proof of the Fundamental Theorem of Algebra. Each chapter includes exercises that will help to assess the student's level of understanding. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
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Hardback. Condizione: New. This 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. Codice articolo LU-9781470420185
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Condizione: New. Series: Pure and Applied Undergraduate Texts. Num Pages: 146 pages. BIC Classification: PBF; PBK; PBMW. Category: (P) Professional & Vocational. Dimension: 262 x 191 x 15. Weight in Grams: 430. . 2015. Hardcover. . . . . Codice articolo V9781470420185
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Hardcover. Condizione: new. Hardcover. This 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. Offers a rigorous and coherent introduction to the five basic number systems of mathematics - natural numbers, integers, rational numbers, real numbers, and 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781470420185
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