- 256 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About This Book
Students learn how to read and write proofs by actually reading and writing them, asserts author Joseph J. Rotman, adding that merely reading about mathematics is no substitute for doing mathematics. In addition to teaching how to interpret and construct proofs, Professor Rotman's introductory text imparts other valuable mathematical tools and illustrates the intrinsic beauty and interest of mathematics.
Journey into Mathematics offers a coherent story, with intriguing historical and etymological asides. The three-part treatment begins with the mechanics of writing proofs, including some very elementary mathematics--induction, binomial coefficients, and polygonal areas--that allow students to focus on the proofs without the distraction of absorbing unfamiliar ideas at the same time. Once they have acquired some geometric experience with the simpler classical notion of limit, they proceed to considerations of the area and circumference of circles. The text concludes with examinations of complex numbers and their application, via De Moivre's theorem, to real numbers.
Frequently asked questions
Information
Chapter 1
Setting Out
INDUCTION
Hath smaller fleas that on him prey;
And these have smaller still to bite ’em;
And so proceed ad infinitum.
Table of contents
- DOVER BOOKS ON MATHEMATICS
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- Preface
- TO THE READER
- TO THE INSTRUCTOR
- Chapter 1 - Setting Out
- Chapter 2 - Things Pythagorean
- Chapter 3 - Circles and π
- Chapter 4 - Polynomials
- EPILOGUE
- BIBLIOGRAPHY
- Glossary of Logic
- Index