02413nam a22002177a 450000500170000002000180001708200250003510000290006024500520008926000590014130000400020044000380024050000510027850506340032952010100096365000240197365000380199794200070203599900150204295201380205720260707100229.0 a9781108833141 aRef 511.3 M59m 2023 4auhtor.aMileti, Joseph. aModern mathematical logic / cby Joseph Mileti. aCambridge, UK : bCambridge University Press, cc2023. axiv, 502 pages : bfigs. ; e26 cm. aCambridge Mathematical Textbooks. aIncludes bibliographical references and index. aChapter 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. a"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. aMathematical logic. aLogic, Symbolic and mathematical. cBK c5977d5977 001040708REFaASCOTLIB01bASCOTLIB01cREFd2026-07-07l0oRef 511.3 M59m 2023pRef5113004888r2026-07-07 10:02:43w2026-07-07yBK