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.