Mathematical Proofs: A Transition to Advanced Mathematics by Gary Chartrand, Albert Polimeni, and Ping Zhang is an English-language textbook, published as a Pearson New International Edition. It is aimed at students making the transition to abstract mathematics.
This book covers fundamental concepts in advanced mathematics and provides an overview of proof techniques, analyzing proofs, and constructing them oneself. Its clear and accessible style makes it suitable for independent use and as support in higher education.
The content includes, among other topics, relations, functions, and cardinalities of sets, with attention to theories from number theory, abstract algebra, and group theory. It is a valuable reference work for students who want to delve into mathematical proofs and make the transition to advanced mathematics.
Relevant topics: mathematics, mathematical logic, mathematics / logic.