Wie man mathematisch denkt

Are you looking for a starter guide for your Bachelor's or teaching degree in Mathematics? Have you perhaps already begun your studies and now feel confused by what was once your favorite subject? Don’t panic! This friendly guide will ease your transition into the world of mathematical thinking. As you work through the book, you will become familiar with a range of techniques that will help you understand definitions, theorems, and proofs. You will learn how to solve typical problems and formulate them mathematically with precision. Among other things, all essential proof methods are covered: direct proof, case distinctions, induction, proof by contradiction, and proof by contraposition. Since concrete examples always deepen your understanding, you will also gain rich practical experience with topics that are not often covered in many introductory lectures: equivalences.