Intended primarily for a course for future high school teachers. Can also serve as an introduction to mathematical thought, a short course in number theory, an honors course at the high school level, or an introduction to mathematical education research. As much a book about numbers as a number theory text, Exploring the Real Numbers answers the need for future teachers to understand the real number system. Experienced educator Frederick Stevenson brings students up to date with the study of the nature of real numbers and provides a sense of the historical journey that has led to our current knowledge of the subject. Many interesting topics that arise during the study of the real numbers are presented and students are given the opportunity to study topics further on their own. *Unique exploratory approach. *Flexible presentation. *Presents 4 different aspects of irrational numbers, algebraic, geometric, trigonometric, and analytic. *Includes 350 exercises that keep the reader current with the text . *More than 100 carefully worked examples make the material accessible to laymen as well as students.
The management accounting model illustrated in "Real Numbers" points the way to unlocking the true profit potential of lean. Real Numbers is required reading for SME Lean Silver Certification.
The surreal numbers constitute a special class of combinatorial games. They form an ordered field that is an extension of the real numbers. Conway's theory resembles Dedekind's theory of the reals. Recall (from Chapter 2) that Dedekind ...
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs.
While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light.
Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.
Concise but thorough and systematic, this categorical discussion presents a series of step-by-step axioms. The highly accessible text includes numerous examples and more than 300 exercises, all with answers. 1962 edition.
Part of the answer, we hope, lies in this volume. This book is structured like a reverse telephone book, or more accurately, like a reverse handbook of special function values.
John H. Conway, Richard Guy. We quote from the Preface of the Borweins' ... H.-D. Ebbinghaus, H. Hermes, F. Hirzebruch, M. Koecher, K. Mainzer, J. Neukirch, A. Prestel & R. Remmert. Numbers, Springer-Verlag, Graduate ... Karl Menninger.
Requiring no math knowledge beyond basic arithmetic and high school geometry, Strength in Numbers is an enlightening introduction to all the math you'll ever need.
Along the way, he explains why irrational numbers are surprisingly difficult to define—and why so many questions still surround them. Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.