A readable introduction to real mathematics / Daniel Rosenthal, David Rosenthal, Peter Rosenthal.
| Author/creator | Rosenthal, Daniel author. |
| Other author | Rosenthal, David, 1916- author. |
| Other author | Rosenthal, Peter, 1941- author. |
| Format | Book |
| Edition | Second edition. |
| Publication | Cham, Switzerland : Springer, [2018] |
| Copyright Date | ©2018 |
| Description | xviii, 218 pages : illustrations ; 24 cm. |
| Subjects |
| Series | Undergraduate texts in mathematics Undergraduate texts in mathematics. ^A236098 |
| Contents | Introduction to the natural numbers -- Mathematical induction -- Modular arithmetic -- The fundamental theorem of arithmetic -- Fermat's Theorem and Wilson's Theorem -- Sending and receiving secret messages -- The Euclidean algorithm and applications -- Rational numbers and irrational numbers -- The complex numbers -- Sizes of infinite sets -- Fundamentals of Euclidean plane geometry -- Constructability -- An introduction to infinite series -- Some higher dimensional spaces -- Index. |
| Abstract | "Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to teach mathematical thinking while conveying the beauty and elegance of mathematics. The book contains a large number of exercises of varying difficulty, some of which are designed to help reinforce basic concepts and others of which will challenge virtually all readers. The sole prerequisite for reading this text is high school algebra. Topics covered include: * mathematical induction * modular arithmetic * the Fundamental Theorem of Arithmetic * Fermat's Little Theorem * RSA encryption * the Euclidean algorithm * rational and irrational numbers * complex numbers * cardinality * Euclidean plane geometry * constructibility (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass)* infinite series * higher dimensional spaces. This textbook is suitable for a wide variety of courses and for a broad range of students of mathematics and other subjects. Mathematically inclined senior high school students will also be able to read this book." -- Back cover. |
| General note | Includes index. |
| Genre/form | Problems and exercises. |
| Genre/form | Problems and exercises. |
| ISBN | 9783030006310 hardcover |
| ISBN | 303000631X hardcover |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | General Stacks | QA9 .R67 2018 | ✔ Available | Place Hold |