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.
Rezensionen / Stimmen
"The book consists of two parts. The first part is . both an excellent introduction and review . . This part can help any student of mathematics, the beginner as well as the advanced one, to more easily, and systematically, prove or disprove mathematical assertions. The second part is more formal . specifically interesting for students currently learning courses in mathematical logic. In both parts the author includes many examples, notes on errors and fallacies, and historical notes as well." (Franka Miriam Brückler, zbMATH 1478.00002, 2022)
"He does so in a unique, energetic and playful style . . the audience most likely to benefit from reading this compact book is undergraduate students in non-mathematics programs with a strong mathematical component, such as physics, engineering, bioinformatics, and computer science." (Frederic Morneau-Guerin, MAA Reviews, January 30, 2022)
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Illustrationen
15
15 s/w Abbildungen, 15 farbige Abbildungen
XV, 133 p. 30 illus., 15 illus. in color.
Dateigröße
ISBN-13
978-3-030-68375-7 (9783030683757)
DOI
10.1007/978-3-030-68375-7
Schweitzer Klassifikation
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.
