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Item specifics
- Condition
- Book Title
- Modern Mathematical Logic (Cambridge Mathematical Textbooks)
- ISBN
- 9781108833141
- Subject Area
- Mathematics
- Publication Name
- Modern Mathematical Logic
- Publisher
- Cambridge University Press
- Item Length
- 10 in
- Subject
- Logic
- Publication Year
- 2022
- Series
- Cambridge Mathematical Textbooks Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.1 in
- Features
- New Edition
- Item Width
- 7 in
- Number of Pages
- 550 Pages
About this product
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
1108833144
ISBN-13
9781108833141
eBay Product ID (ePID)
7057261147
Product Key Features
Number of Pages
550 Pages
Language
English
Publication Name
Modern Mathematical Logic
Subject
Logic
Publication Year
2022
Features
New Edition
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Mathematical Textbooks Ser.
Format
Hardcover
Dimensions
Item Height
1.1 in
Item Length
10 in
Item Width
7 in
Additional Product Features
Dewey Edition
23
Reviews
'Building on its author's substantial experience teaching courses in the field, this book provides a thorough and wide-ranging introduction to mathematical logic. The careful choice of topics and high level of detail, particularly in early sections covering material that is often challenging even for mathematically well-prepared students, will make it suitable both for one-course introductions to the field and for syllabuses aimed at preparing students for graduate-level courses in subfields such as set theory, model theory, computability theory, and proof theory.' Denis Hirschfeldt, University of Chicago, 'This book gives a great introduction to mathematical logic for an advanced undergraduate or early graduate-level course. From propositional logic and completeness, through the basics of set theory and model theory, to the incompleteness theorem, the author skillfully presents notions and proofs without shying away from technical details. The exercises after each chapter are at the appropriate level, leading students into more in-depth explorations of various directions related to the topic at hand.' Mariya Soskova, University of Wisconsin-Madison, 'This book is a modern introduction to mathematical logic for a new generation of students. Filled to the brim with examples to motivate students and better explain the myriad topics covered, it is more detailed and complete than almost any text on the subject. Yet, amazingly, it is still quite concise and easy to read. Without a doubt, this is bound to be a new classic.' Damir Dzhafarov, University of Connecticut, 'I enjoyed using early versions of this text. For mathematics students, it was much better than any of the standard texts. It begins with a general mathematical approach to induction, recursion, and generation to develop both syntax and semantics. It then offers a variety of tailored routes through wide swaths of logic using real mathematical examples. I highly recommend it.' Richard A. Shore, Cornell University, 'This is a great book. I've used drafts to teach mathematical logic many times in the past and students love it. They find that it is very complete, that it doesn't miss any detail, and that it is a great complement to my informal style of teaching.' Antonio Montalbán, University of California, Berkeley, Mileti has written a careful, rigorous treatment of a broad range of topics in mathematical logic. This is a valuable addition to the literature. Daniel J. Velleman, Amherst College, 'This is an excellent introduction to mathematical logic for upper-year undergraduate students with some background in theoretical mathematics. The many wonderful examples relate mathematical logic to other areas of mathematics. Beyond the usual setup and culmination with completeness and incompleteness, Mileti gives a strong introduction to set theory, model theory, and computability. Instructors have the flexibility to suit the examples and direction to their students' backgrounds, and curious students will have an excellent reference for topics not covered in their course. Mileti's gentle prose guides the reader from topic to topic, explaining what we are doing, and why.' Barbara F. Csima, University of Waterloo, 'Mileti's Modern Mathematical Logic is an absorbing, comprehensive, and well-organized textbook. It contains clear-cut and detailed descriptions of the basic ideas and mathematical arguments, a good number of helpful examples and stimulating exercises, and lucid explanations of the modern view of mathematical logic. It is highly recommended for beginners.' Makoto Kikuchi, Kobe University, 'This is the logic book I would have written if I could write as clearly as Mileti. At last, a complete introduction to the subject from a modern mathematical perspective that proves the incompleteness theorems while also providing a gentle introduction to model theory, set theory, and computability theory along the way.' Henry Towsner, University of Pennsylvania
Illustrated
Yes
Dewey Decimal
511.3
Edition Description
New Edition
Table Of Content
Preface; Acknowledgements; 1. Introduction; 2. Induction and recursion; 3. Propositional logic; 4. First-order logic: languages and structures; 5. Relationships between structures; 6. Implication and compactness; 7. Model theory; 8. Axiomatic set theory; 9. Ordinals, cardinals, and choice; 10. Set-theoretic methods in model theory; 11. Computable sets and functions; 12. Logic, computation, and incompleteness; Appendix: mathematical background; References; Index.
Synopsis
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., This textbook gives a comprehensive introduction to mathematical logic using modern conventions and perspectives, while emphasizing connections with the rest of mathematics. With a wealth of exercises, examples, and further reading, it is suitable for a variety of courses for upper-level undergraduates and beginning graduate students.
LC Classification Number
QA9
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- j***b (107)- Feedback left by buyer.Past 6 monthsVerified purchaseA+++++ Seller! Professor's syllabus listed the wrong book for the course, and told us of the mistake the first day of class. Contacted seller textbooks_source ASAP, and they were able to stop and refund the first order. I then purchased this textbook as the correct book for the course. Textbook received as described. This is a great seller. I would (and did) purchase from again. A++++++!!!!!!!
- 6***4 (455)- Feedback left by buyer.Past monthVerified purchaseVery nice book on Amy Carmichael, an Irish Christian missionary and writer. Book arrived in brand new condition. Very good price - value for money. Shipping was secure and item well packaged. Delivery from U.S. to Singapore took 25 days. Seller was responsive & helpful to enquiry.
- -***i (202)- Feedback left by buyer.Past monthVerified purchaseVery happy with my purchase. The book arrived in very good condition as described in the seller's posting. The price of the book and the shipping cost were very reasonable. The seller was careful to package the book to prevent damage during shipping. All good!