Reading, Writing, and Proving: A Closer Look at Mathematics Ulrich Daepp and Pamela Gorkin are an English-language textbook aimed at the mathematical foundations and learning to prove. This book guides students through the transition to higher-level mathematics with clear explanations and practical examples.
The book follows Polya’s method for solving problems: analyzing the problem, coming up with a plan, carrying out that plan, and evaluating the result. In addition to this focus on the problem, it emphasizes careful reading and clear writing of proofs. Considerable attention is given to examples, exercises, and hints that strengthen the skills of reading, writing, and proving. Historical context and an extensive bibliography make it a valuable reference work.
Topics such as Mathematical logic, Mathematical foundations, and MATHEMATICS / Logic are covered, with additional chapters on sequences, convergence, and metric spaces. This allows the book to serve as a good bridge between calculus and analysis.
Series: Undergraduate Texts in Mathematics