Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematic
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You study hard. You memorize. You work at a problem over and over until it feels like your head is going to explode. You think, finally I'm ready for the big test. And you still don't make the grade.
Plenty of writing advice out there is focused on the nuts and bolts of writing – how to do it, when, how to market it and where, etc. But this is not that sort of book. If you want to learn to write m
These innovative workbooks involve learners by giving them opportunities to think, talk, and write about what they learn. Grammar points are presented in natural contexts related to unit themes. Each
Do you think the programmers who work at your office are magical wizards who hold special powers that manipulate your computer? Believe it or not, anyone can learn how to write programs, and it doesn’