Description
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 mathematician.
Cheers!
Excelente
As a math undergrad this book is very useful
This book is fantastic and I wish I had it years ago. Like the author says, things I wish someone had told me before. I started reading it and I can’t put it down. My primary reason for buying it is to learn how to do proofs well as requited in a college course.
Basically, this should be a standard text for everyone that ever takes a math class. This book can be easily taught in high school or lower.
The book is good enough for college students to get hang of how to think in mathematics, especially proofs & statements. Ample examples & no assumption by the author that only experienced math students will read it.