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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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- Q: What are the dimensions of the book? A: The book measures six point four inches in length, zero point seventy-six inches in width, and nine point forty-five inches in height.
- Q: How many pages does this book have? A: The book contains two hundred seventy-two pages, providing a comprehensive exploration of mathematical logic.
- Q: What type of binding does this book have? A: This book is bound in hardcover, ensuring durability for frequent use.
- Q: Who is the author of this book? A: The book is authored by Zofia Adamowicz, a noted figure in the field of mathematics.
- Q: What topics are covered in the book? A: The book covers mathematical logic and model theory, including Gödel's theorems and Tarski's theorem.
- Q: Is this book suitable for beginners? A: No, this book is ideal for advanced students of mathematics, computer science, and logic.
- Q: What prior knowledge is needed to read this book? A: A standard familiarity with abstract algebra is required to engage with the book's content.
- Q: How is the book structured? A: The book is divided into two parts: an introduction to mathematical logic and a focus on advanced theorems.
- Q: Can this book be used for classroom instruction? A: Yes, it is designed as a textbook for advanced students and includes exercises and solution hints.
- Q: What makes this book unique in its field? A: It is the only book that provides complete and precise proofs of many important theorems in mathematical logic.
- Q: How should I store this book? A: Store the book in a cool, dry place away from direct sunlight to maintain its condition.
- Q: What should I do if the book arrives damaged? A: Contact the seller immediately to inquire about their return policy and request a replacement.
- Q: Is there a warranty for this book? A: Typically, books do not come with a warranty, but check the seller's return policy for any guarantees.
- Q: How can I clean the book if it gets dirty? A: Wipe the cover gently with a soft, dry cloth to remove dust and avoid using liquids.
- Q: Does this book contain exercises or practice problems? A: Yes, the book includes carefully chosen exercises for each chapter along with helpful solution hints.
- Q: Is this book recommended for self-study? A: Yes, it's suitable for self-study, especially for readers with a solid background in mathematics.