A Transition To Mathematics With Proofs [Hardcover]

Developed For The Transition Course For Mathematics Majors Moving Beyond The Primarily Procedural Methods Of Their Calculus Courses Toward A More Abstract And Conceptual Environment Found In More Advanced Courses, A Transition To Mathematics With Proofs Emphasizes Mathematical Rigor And Helps Students Learn How To Develop And Write Mathematical Proofs. The Author Takes Great Care To Develop A Text That Is Accessible And Readable For Students At All Levels. It Addresses Standard Topics Such As Set Theory, Number System, Logic, Relations, Functions, And Induction In At A Pace Appropriate For A Wide Range Of Readers. Throughout Early Chapters Students Gradually Become Aware Of The Need For Rigor, Proof, And Precision, And Mathematical Ideas Are Motivated Through Examples.Advanced MathematicsDisciplineID: 2118Feature

• Proof techniques and strategies are thoroughly discussed and the underlying logic behind them is made transparent.
• Each chapter section begins with a set of guided reading questions intended to help students to identify the most significant points made within the section.
• Practice problems are embedded within chapters so that students can actively work with a key idea that has just been introduced.
• Each chapter also includes a collection of problems, ranging in level of difficulty, which are perfect for in-class discussion or homework assignments.

binding type HC