Modern Mathematical Logic
eBook - PDF

Modern Mathematical Logic

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Modern Mathematical Logic

About this book

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.

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Yes, you can access Modern Mathematical Logic by Joseph Mileti in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Endorsement
  3. Half-Title page
  4. Series page
  5. Title page
  6. Copyright page
  7. Contents
  8. Preface
  9. Acknowledgments
  10. 1 Introduction
  11. 2 Induction and Recursion
  12. 3 Propositional Logic
  13. 4 First-Order Logic: Languages and Structures
  14. 5 Relationships between Structures
  15. 6 Implication and Compactness
  16. 7 Model Theory
  17. 8 Axiomatic Set Theory
  18. 9 Ordinals, Cardinals, and Choice
  19. 10 Set-Theoretic Methods in Model Theory
  20. 11 Computable Sets and Functions
  21. 12 Logic, Computation, and Incompleteness
  22. Appendix: Mathematical Background
  23. Bibliography
  24. List of Notation
  25. Index