02278nam a22002057a 4500 20260707100229.0 9781108833141 Ref 511.3 M59m 2023 auhtor. Mileti, Joseph. Modern mathematical logic / by Joseph Mileti. Cambridge, UK : Cambridge University Press, c2023. xiv, 502 pages : figs. ; 26 cm. Cambridge Mathematical Textbooks. Includes bibliographical references and index. Chapter 1 - Introduction. -- Chapter 2 - Induction and Recursion. -- Chapter 3 - Propositional Logic. -- Chapter 4 - First-Order Logic: Languages and Structures. -- Chapter 5 - Relationships between Structures. -- Chapter 6 - Implication and Compactness. -- Chapter 7 - Model Theory. -- Chapter 8 - Axiomatic Set Theory. -- Chapter 9 - Ordinals, Cardinals, and Choice. -- Chapter 10 - Set-Theoretic Methods in Model Theory. -- Chapter 11 - Computable Sets and Functions. -- Chapter 12 - Logic, Computation, and Incompleteness. -- Appendix: - Mathematical Background. -- Bibliography. -- List of Notation. -- Index. "This textbook gives a complete and modern introduction to mathematical logic. The author uses contemporary notation, conventions, and perspectives throughout, and emphasizes interactions with the rest of mathematics. In addition to covering the basic concepts of mathematical logic and the fundamental material on completeness, compactness, and incompleteness, it devotes significant space to thorough introductions to the pillars of the modern subject: model theory, set theory, and computability. Requiring only a modest background of undergraduate mathematics, the text can be readily adapted for a variety of one- or two-semester courses at the upper-undergraduate or beginning-graduate level. Numerous examples reinforce the key ideas and illustrate their applications, and a wealth of classroom-tested exercises serve to consolidate readers' understanding. Comprehensive and engaging, this book offers a fresh approach to this enduringly fascinating and important subject."-- Provided by publisher. Mathematical logic. Logic, Symbolic and mathematical. BK 5977 5977 0 0 0 0 REF ASCOTLIB01 ASCOTLIB01 REF 2026-07-07 0 Ref 511.3 M59m 2023 Ref5113004888 2026-07-07 10:02:43 2026-07-07 BK