Some of these solutions have been tested through use in several years. While there is no way for me to enforce these reasonable rules, be assured. The rest of the derivation follows as usual to give the usual expression. Springer is part of Springer Nature General Terms Conditions Manage CookiesDo Not Sell My Data. The first edition also received 2 glowing reviews by Steve Krantz for the American Mathematical Monthly, and S. Gerstein himself has a transition course at UC, Santa Barbara (Math 8-A transition to higher mathematics) from his book since its first publication date. The authors first edition of Introduction to Mathematical Structures and Proofs has sold to date (822010) over 6000 copies and has gone through 5 printings. Solutions for even numbered exercises are available on for instructors adopting the text for a course. The new material in this second edition includes a section on graph theory, several new sections on number theory (including primitive roots, with an application to card-shuffling), and a brief introduction to the complex numbers (including a section on the arithmetic of the Gaussian integers). In short, this book seeks to enhance the mathematical maturity of the reader. It also explores the delicate balance of intuition and rigorand the flexible thinkingrequired to prove a nontrivial result.
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