Theoremus

A compact and easily accessible book, it guides the reader in unravelling the apparent mysteries found in doing mathematical proofs. Simply written, it introduces the art and science of proving mathematical theorems and propositions and equips students with the skill required to tackle the task of proving mathematical assertions.

Theoremus - A Student's Guide to Mathematical Proofs is divided into two parts. Part 1 provides a grounding in the notion of mathematical assertions, arguments and fallacies and Part 2, presents lessons learned in action by applying them into the study of logic itself. The book supplies plenty of examples and figures, gives some historical background on personalities that gave rise to the topic and provides reflective problems to try and solve. The author aims to provide the reader with the confidence to take a deep dive into some more advanced work in mathematics or logic.

Explains the essentials of mathematical proofs No need for a background in set theory or theory of functions, as it treats it as a special case of an axiom system Includes lots of examples and reflective problems

Inhalt
Part I:The Basics.- Introduction.- Theorems and Proofs.- Types of Theorems.- Logical Foundations of Proofs.- Types of Proofs Techniques.- Part II: An Application.- Formal System for PL.- Formal System for FOL.- Part III: Advanced Topics.- You Do the Maths.