You are here: Home / Shop / Product Detail Page |

## The MAA New Mathematical Library 1: Numbers: Rational and Irrational (Softcover)"This book deals with the number system, one of the basic structures in mathematics. It is concerned especially with ways of classifying numbers into various categories; for example, it provides some criteria for deciding if a given number is rational (i.e., representable as a common fraction) or irrational, if it is algebraic or transcendental." — From the back cover ## $9.95 |

### Need More Info?

Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** The small softcover is in very good condition, showing only a minimal sign of use or wear. The pages are clean, the binding is tight, and the covers are straight.

## Description

From the back cover: “In the course of the later chapters, the reader is introduced to some of the more recent developments in mathematics. Professor Niven’s book may be read with profit by interested high school students as well as by college students and others who want to know more about the basic aspects of pure mathematics. Most readers will find the early chapters well within their grasp while ambitious readers will profit by the more advanced material to be found in later chapters.”

**BRIEF CONTENTS**

- Introduction
- Chapter 1 – Natural Numbers and Integers
- Chapter 2 – Rational Numbers
- Chapter 3 – Real Numbers
- Chapter 4 – Irrational Numbers
- Chapter 5 – Trigonometric and Logarithmic Numbers
- Chapter 6 – The Approximation of Irrationals by Rationals
- Chapter 7 – The Existence of Transcendental Numbers
- Appendix A – Proof That There Are Infinitely Many Prime Numbers
- Appendix B – Proof of the Fundamental Theorem of Arithmetic
- Appendix C – Cantor’s Proof of the Existence of Transcendental Numbers
- Appendix D – Trigonometric Numbers
- Answers and Suggestions to Selected Problems
- Index

## Details

- SKU:
- 1610
- Subject:
- Mathematics
- Author:
- Niven, Ivan
- Publisher:
- The Mathematical Association of America
- Publish Date:
- Fifteen Printing, November 2002
- Format:
- Softcover
- Weight (pounds):
- 0.56
- Dimensions (W”xL”xH”):
- 6″x9″x0.4″
- ISBN-13:
- 9780883856017
- ISBN-10:
- 0883856018
- Grade Level:
- Grades 10-12
- Series:
- The MAA New Mathematical Library (NML)

## Related Products

### Products related to "The MAA New Mathematical Library 1: Numbers: Rational and Irrational (Softcover)"

- Views:

#### Mathematical World, Volume 18: Portraits of the Earth: A Mathematician Looks at Maps (Softcover)

$26.15

"This book would make an excellent text for a basic undergraduate mathematics or geography course and would be especially appealing to the teacher who is interested in exciting visual applications in the classroom. It would also serve nicely as supplementary reading for a course in calculus, linear algebra, or differential geometry. Prerequisites include a strong grasp of trigonometry and basic calculus." — From the back cover

#### Handbook of Mathematics and Computational Science (Hardback)

$39.50

"The Harris and Stocker Handbook of Mathematics and Computation Science is a complete desk-top reference for working scientists, engineers, and students. It serves as a veritable math toolbox for rapid access to a wealth of mathematics information for everyday use in problem solving, homework, examinations, etc." — From the back cover

#### Modern Trigonometry: An Analytic Approach to Plane and Spherical Trigonometry with Illustrations, Problems, and Answers (Paperback)

$4.49

"As a review, or a complete course in itself, this book is a rigorous presentation of that part of mathematical investigations which is performed by means of the trigonometric functions." — Back Cover

#### Performance Analysis of Local Computer Networks (Hardback)

$12.95

"This is the first book to present a unified and self-contained treatment of local networks from the perspective of performance analysis. The performance models discussed are developed in as elementary a manner as possible, often using a heuristic rather than a rigorous approach." — About the Book, Dust Jacket

#### Dynamics (Hardback + Supplemental Problems Booklet)

$4.95

"The challenge and responsibility of modern engineering practice demand a high level of creative activity which, in turn, requires the support of strong analytical capability. The subject of engineering mechanics, which includes statics and dynamics, constitutes one of the cornerstones of analytical capability, and all engineers should have a basic background in this field of study." — J. L. Meriam, Author

#### Introductory Signals & Circuits (Hardback)

$2.99

"This book is intended to provide foundation concepts which are believed to have lasting significance and broad implications." — J.B. Cruz, Jr. and M.E. Van Valkenburg, Authors, 1967

#### Geometric Tools for Computer Graphics (Hardback)

$22.65

"An hour of a programmer's time often costs more than the price of a book. By this measure, you hold a volume potentially worth thousands of dollars. That it can be purchased for a fraction of this cost I consider a modern miracle. The amount of information crammed into this book is incredible." — Eric Haines, co-author of

*Real-Time Rendering*#### Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace, and Virtual Reality (Hardback)

$71.59

"Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century—a feat he celebrated by carving the founding equations into a stone bridge—mathematicians and engineers have been fascinated by these mathematical objects." — From the back cover

#### Introduction to Logic and the Methodology of Deductive Sciences (Softcover)

$3.75

This book is a textbook for elementary college courses in logic and the methodology of deductive science. It is from a revised second edition of a classical work that was first published in Polish in 1936.

#### The Volume Library (2-Volume Hardback Set)

$8.99

"

*The Volume Library*, which is revised and updated annually, was designed for interested, well-informed people—students and adults who need an authoritative reference book for their home book-shelves, and parents who want to keep abreast of the subjects their children are studying in school."—Preface#### Divergent Series, First American Edition, Second Textually Unaltered Edition (Hardback)

$37.95

"All [Hardy's] books gave him some degree of pleasure, but this one, his last, was his favourite. When embarking on it he told me that he believed in its value (as he well might), and also that he looked forward to the task with enthusiasm. He had actually given lectures on the subject at intervals ever since his return to Cambridge in 1931, and had at one time or another lectured on everything in the book except Chapter XIII." — J.E. Littlewood in the Preface

#### Analytical Mechanics: A Comprehensive Treatise on the Dynamics of Constrained Systems; For Engineers, Physicists, and Mathematicians (Hardback)

$279.95

From the Preface: “This book is a classical and detailed introduction to advanced analytical mechanics (AM), with special emphasis on its basic principles and equations of motion, as they apply to the most general constrained mechanical systems with a finite number of degrees of freedom..."

#### Graduate Texts in Mathematics: A Course in Arithmetic (Hardback)

$40.95

This book is divided into two parts: the first is purely algebraic, while the second uses "analytic" methods (holomorphic functions).

#### Mathematical Logic (Softcover)

$25.95

"This classic text is as fresh and useful today as when first published. Noted for the economy of its presentation, it includes a wealth of basic and key results from all parts of mathematical logic." — Solomon Feferman, Stanford University

#### Finite Groups, Second Edition, Reprint (Hardback)

$33.15

"...it is required reading for anyone who wishes to study the subject." — Mathematical Reviews

#### Complex Functions: An Algebraic and Geometric Viewpoint (Softcover)

$38.65

"This book is based on lectures given to advance undergraduates and is well-suited as a textbook for a second course in complex function theory. Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics." — From the back cover

#### Cambridge Series in Statistical and Probabilistic Mathematics: Markov Chains (Softcover)

$13.50

"Markov chains are the simplest mathematical models for random phenomena evolving in time. Their simple structure make it possible to say a great deal about their behaviour. At the same time, the class of Markov chains is rich enough to serve in many applications. This makes Markov chains the first and most important examples of random processes. Indeed, the whole of the mathematical study of random processes can be regarded as a generalization in one way or another of the theory of Markov chains." — From the Preface

#### Euler Through Time: A New Look at Old Themes (Hardback)

$42.75

"Euler is one of the greatest and most prolific mathematicians of all time. ... It is of great interest therefore to examine his work and its relation to current mathematics. This book attempts to do that." — From the back cover

#### Undergraduate Texts in Mathematics: Mathematics and Its History, Second Edition (Hardback)

$24.25

"...[The book] is a treasure, which deserves wide adoption as a text and much consultation by historians and mathematicians alike." —

*Physis Rivista Internazionale di Storia della Scienza*#### Problems & Solutions in Euclidean Geometry (Softcover)

$6.99

"Intended for a second course in Euclidean geometry, this volume is based on classical principles and can be used by students of mathematics as a supplementary text and by mechanical engineers as an aid to developing greater mathematical facility. It features 200 problems of increasing complexity with worked-out solutions, along with hints for additional problems." — From the back cover