Number Systems : A Path into Rigorous Mathematics (Hardcover, 2 ed)

Preface and Acknowledgements?1 Introduction: The Purpose of This Book?2 Sets and Relations?3 Natural Numbers 4?Integers, Z?5 Foundations of Number Theory?6 Rational Numbers, Q?7 Real Numbers, R?8 Quadratic Extensions: General Concepts and Extensions of Z and Q?9 Complex Numbers, C: A Quadratic Extension of R?10 Yet More Number Systems?11 Where Do We Go from Here??A How to Read Proofs: The Self-Explanation" Strategy?Solutions to Exercises and Hints for Investigations?Bibliography Index