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This textbook offers a detailed and self-contained presentation of quantum field theory, suitable for advanced undergraduate and graduate level courses. The author provides full derivations wherever possible and adopts a pedagogical tone without sacrificing rigour. A fully worked solutions manual is available online for instructors.
List of contents
Preface; Introduction and Overview; Part I. Propositional Logic: 1. Propositional Logic Syntax; 2. Propositional Logic Semantics; 3. Logical Operators; 4. Proof by Deduction; 5. Working with Proofs; 6. The Tautology Theorem and the Completeness of Propositional Logic; Part II. Predicate Logic: 7. Predicate Logic Syntax and Semantics; 8. Getting Rid of Functions and Equality; 9. Deductive Proofs of Predicate Logic Formulas; 10. Working with Predicate Logic Proofs; 11. The Deduction Theorem and Prenex Normal Form; 12. The Completeness Theorem; 13. Sneak Peek at Mathematical Logic II: Godel's Incompleteness Theorem; Cheatsheet Axioms and Axiomatic Inference Rules Used in this Book; Notes; Index.
About the author
Yannai A. Gonczarowski is Assistant Professor of both Economics and Computer Science at Harvard University, and is the first faculty at Harvard to be appointed to both of these departments. He received his PhD in Mathematics and Computer Science from The Hebrew University of Jerusalem. Among his research awards are the ACM SIGecom Dissertation Award and INFORMS AMD Junior Researcher Paper Prize. He is also a professionally trained opera singer.Noam Nisan is Professor of Computer Science and Engineering at The Hebrew University of Jerusalem, serving as Dean of the School of Computer Science and Engineering during 2018-2021. He received his PhD in Computer Science from the University of California, Berkeley. Among the awards for his research on computational complexity and algorithmic game theory are the Gödel Prize and Knuth Award. This is his fifth book.
Summary
In this unique take on a classic mathematical logic course, students are guided in implementing the underlying logical concepts and mathematical proofs in the Python programming language, thus achieving deep hands-on clarity and understanding. The text is accompanied by an extensive collection of programming tasks, code skeletons, and unit tests.
