Emphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof as they transition to advanced mathematics. Using several strategies, students will develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow.
Emphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof as they transition to advanced mathematics. Using several strategies, students will develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Shay Fuchs is Associate Professor (Teaching Stream) in the Department of Mathematical and Computational Sciences at the University of Toronto, Mississauga, Canada, and a Mathematical Association of America member. He has been a mathematics educator for more than twenty-five years. His course based on this text has been taken by more than 1500 students and used by dozens of his colleagues in the past three years.
Inhaltsangabe
Contents Preface Part I. Core Material 1. Numbers, Quadratics and Inequalities 2. Sets, Functions and the Field Axioms 3. Informal Logic and Proof Strategies 4. Mathematical Induction 5. Bijections and Cardinality 6. Integers and Divisibility 7. Relations Part II. Additional Topics 8. Elementary Combinatorics 9. Preview of Real Analysis - Limits and Continuity 10. Complex Numbers 11. Preview of Linear Algebra Notes References Index.
Contents Preface Part I. Core Material 1. Numbers, Quadratics and Inequalities 2. Sets, Functions and the Field Axioms 3. Informal Logic and Proof Strategies 4. Mathematical Induction 5. Bijections and Cardinality 6. Integers and Divisibility 7. Relations Part II. Additional Topics 8. Elementary Combinatorics 9. Preview of Real Analysis - Limits and Continuity 10. Complex Numbers 11. Preview of Linear Algebra Notes References Index.
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