Title
Logic Of Mathematics: A Modern Course Of Classical Logic (Pure And Applied Mathematics: A Wiley Series Of Texts, Monographs And
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A Thorough, Accessible, And Rigorous Presentation Of The Central Theorems Of Mathematical Logic . . . Ideal For Advanced Students Of Mathematics, Computer Science, And Logiclogic Of Mathematics Combines A Fullscale Introductory Course In Mathematical Logic And Model Theory With A Range Of Specially Selected, More Advanced Theorems. Using A Strict Mathematical Approach, This Is The Only Book Available That Contains Complete And Precise Proofs Of All Of These Important Theorems:* Gdel'S Theorems Of Completeness And Incompleteness* The Independence Of Goodstein'S Theorem From Peano Arithmetic* Tarski'S Theorem On Real Closed Fields* Matiyasevich'S Theorem On Diophantine Formulaslogic Of Mathematics Also Features:* Full Coverage Of Model Theoretical Topics Such As Definability, Compactness, Ultraproducts, Realization, And Omission Of Types* Clear, Concise Explanations Of All Key Concepts, From Boolean Algebras To Skolemlwenheim Constructions And Other Topics* Carefully Chosen Exercises For Each Chapter, Plus Helpful Solution Hintsat Last, Here Is A Refreshingly Clear, Concise, And Mathematically Rigorous Presentation Of The Basic Concepts Of Mathematical Logicrequiring Only A Standard Familiarity With Abstract Algebra. Employing A Strict Mathematical Approach That Emphasizes Relational Structures Over Logical Language, This Carefully Organized Text Is Divided Into Two Parts, Which Explain The Essentials Of The Subject In Specific And Straightforward Terms.Part I Contains A Thorough Introduction To Mathematical Logic And Model Theoryincluding A Full Discussion Of Terms, Formulas, And Other Fundamentals, Plus Detailed Coverage Of Relational Structures And Boolean Algebras, Gdel'S Completeness Theorem, Models Of Peano Arithmetic, And Much More.Part Ii Focuses On A Number Of Advanced Theorems That Are Central To The Field, Such As Gdel'S First And Second Theorems Of Incompleteness, The Independence Proof Of Goodstein'S Theorem From Peano Arithmetic, Tarski'S Theorem On Real Closed Fields, And Others. No Other Text Contains Complete And Precise Proofs Of All Of These Theorems.With A Solid And Comprehensive Program Of Exercises And Selected Solution Hints, Logic Of Mathematics Is Ideal For Classroom Usethe Perfect Textbook For Advanced Students Of Mathematics, Computer Science, And Logic.
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We provide a 2-year limited warranty, from the date of purchase for all our products.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What topics are covered in 'Logic of Mathematics'? A: The book covers fundamental and advanced topics in mathematical logic, including Gödel's theorems, model theory, Boolean algebras, and key concepts such as definability and compactness.
- Q: Is this book suitable for beginners in mathematics? A: While 'Logic of Mathematics' is rigorous, it requires a standard familiarity with abstract algebra, making it more suitable for advanced students rather than complete beginners.
- Q: Who is the author of 'Logic of Mathematics'? A: The author of 'Logic of Mathematics' is Zofia Adamowicz.
- Q: What is the publication date of this book? A: The book was published on April 1, 1997.
- Q: How many pages does 'Logic of Mathematics' have? A: The book contains 272 pages.
- Q: What is the binding type of this book? A: The binding type of 'Logic of Mathematics' is hardcover.
- Q: Does this book include exercises and solutions? A: Yes, 'Logic of Mathematics' includes carefully chosen exercises for each chapter, along with helpful solution hints.
- Q: What level of mathematics is required to understand this book? A: A standard familiarity with abstract algebra is required to understand the content of 'Logic of Mathematics'.
- Q: Are the proofs in the book complete and precise? A: Yes, 'Logic of Mathematics' is noted for containing complete and precise proofs of all the important theorems discussed.
- Q: What distinguishes 'Logic of Mathematics' from other texts? A: This book is unique in its combination of a full-scale introductory course and advanced theorem coverage, offering a strict mathematical approach not found in other texts.