An Introduction to Mathematical Reasoning

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…om that thread: http://www.springer.com/physics/book/978-0-306-45036-5 http://www.amazon.com/Mathematics-Short-Introduction-Timothy... I agree with the recommendation of An Introduction to Mathematical Reasoning in this thread. Another participant has already recommended my favorite for background reading, Concepts of Modern Mathematics by Ian Stewart. http://www.amazon.com/Concepts-Modern-Mathematics-Ian-Stewar... Get that right away. Sawyer's A Mathematician's Delight is surely also good (I've read other books by Sawyer). http://www.amazon.co.uk/gp/product/0486462404/ Read those for background as you get my favorite overviews of mathematics: Basic Mathematics by Serge Lang and Numbers and Geometry by Joseph Stillwell. http://www.amazon.com/Basic-Mathematics-Serge-Lang/dp/038796... (Basic Mathematics is mostly high school level math, wit…

Fantastic reply, thank you. An Introduction to Mathematical Reasoning loks good, just going to read some reviews on Amazon first. Would 'How To Solve It' be aimed at someone like myself?

"An Introduction to Mathematical Reasoning" by Peter J Eccels. Teaches the vocabulary of mathematics, just the basics you need to think like a mathematician, not a mathematics user like most science texts. "How To Solve It" George Polya. Heurists and problem solving skills, by a great mathematician. Do a google search, specially in the sci.math newsgroup. Again, read books by mathematicians for mathematicians; they're often far more enjoyable and actually far more straightforward (I was often confused by the examples in my school work; I didn't care for "vehicle moving at speed X" or "object falling at from height Y". We all have a different internal visual mind and I tended to think in abstract patterns, usually colors, lines or nested bodies, without real physical objects distracting me.)

Another book to read that I recommend to all my friends: An Introduction to Mathematical Reasoning: Numbers, Sets and Functions by Peter J. Eccles. You can find it on Amazon.

Atlas Shrugged, The Fountainhead, Stranger in a Strange Land, The Rules of Life, Catch-22, 1984, Brave New World, and An Introduction to Mathematical Reasoning (by Peter Eccles)

If you truely want a really great, small, book, purchase Peter J. Eccle's An Introduction to Mathematical Reasoning. http://books.google.com/books?id=ImCSX_gm40oC&dq=an+intr...