How to Think Like a Mathematician A Companion to Undergraduate Mathematics Review

How to Think Like a Mathematician: A Companion to Undergraduate Mathematics by Kevin Houston (Author). On the lookout for a head start in your undergraduate degree in arithmetic? Possibly you have already started your degree and really feel bewildered by the topic you beforehand cherished? Do not panic! This friendly companion will ease your transition to actual mathematical thinking. Working by means of the ebook you will develop an arsenal of strategies to help you unlock the meaning of definitions, theorems and proofs, remedy problems, and write arithmetic effectively. All the main methods of proof – direct methodology, instances, induction, contradiction and contrapositive – are featured. Concrete examples are used throughout, and you’ll get loads of applying on subjects widespread to many courses corresponding to divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by actual college students over a few years so all the necessities are covered. With over 300 exercises to help you test your progress, you will soon learn to suppose like a mathematician.

A superb e-book that will introduce a whole novice to mathematical thinking.

There is a chapter additionally on Set theory which is a nice touch (and it is used illustratively so it would not really feel like you are learning sets specifically). The ebook gives a wonderful define on methods to strategy a proof and the right way to examine mathematics which regularly perplexes even essentially the most proficient of mathematicians (issues or theory etc.?)

Mentioned that this can be very basic. Anybody who has competed in math olympiads for a year or two will know the proof methods and be familiar to some extent on how you can set them out. Additionally the problem solving component is so-so. I suppose the examine ideas may very well be useful but I feel that they are self-explanatory to some extent if one has a sure diploma of mathematical experience.

A great guide for neophytes. But in case you are in your second year at College/College then this e-book will NOT assist you. For first-year it is going to be of restricted value, as one learns greatest by DOING.

This can be a fun to learn introduction to proof writing and tips for undergraduate arithmetic students. The author is very helpful and even throws in some jokes. I really like this book.

How to Think Like a Mathematician: A Companion to Undergraduate Mathematics

Kevin Houston (Author)

274 pages

Cambridge University Press (February 23, 2009)

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