Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and NumbersISBN: 978-0-470-55138-7
Hardcover
348 pages
August 2010
 This is a Print-on-Demand title. It will be printed specifically to fill your order. Please allow an additional 10-15 days delivery time. The book is not returnable.
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- Enforces the fundamental rule that you are not allowed to use any results that you have not proved yet, and consequently starts with an axiomatic system and builds from there
- Introduces proof methods in a separate section of the Logic chapter to facilitate the development of proof writing skills. In the early chapters, proofs are written in much detail with explicit indications, and the level of detail is gradually reduced until the writing style is typical for a standard mathematics text.
- Provides results, applications, and open problems that are typically covered in the high school curriculum in an effort to draw upon as many connections as possible from a reader's existing knowledge base
- Features many types of exercises at varied levels of mathematical development and successfully guides readers through the presented mathematical fundamentals
- Extensively classroom-tested to prepare readers for their first "targeted" proof class, whether it is analysis, algebra, linear algebra, or another subject altogether
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