A Promenade in Mathematical Proofs with Comprehensive Review of Proof Techniques

Designed to support students advance their mathematical knowledge, bridging the gap from basic arithmetic and calculus to a deeper understanding of mathematical concepts through proof writing. It emphasizes the ability to articulate mathematical ideas and solutions effectively, asserting that proof writing is as crucial as subject matter.

A Promenade in Mathematical Proofs with Comprehensive Review of Proof Techniques is designed to support students as they advance their mathematical knowledge, bridging the gap from basic arithmetic and calculus to a deeper understanding of mathematical concepts through proof writing. It emphasizes the importance of being able to articulate mathematical ideas and solutions effectively, asserting that proof writing is as crucial as the subject matter itself. The book is structured to build upon the reader's knowledge systematically, starting with mathematical writing and progressing through logic, set theory, proof techniques, and more advanced topics such as sequences, relations, and functions. Each chapter concludes with practice problems and solutions to reinforce learning. A Promenade in Mathematical Proofs with Comprehensive Review of Proof Techniques is suitable for upper-division undergraduate courses in mathematics, particularly those focusing on advanced mathematical concepts and proof-based learning. Courses in fields such as computer science that require a strong foundation in mathematical reasoning and proof techniques would also benefit from this material.