Mathematical Logic(English, Hardcover, Ebbinghaus Heinz-Dieter) Offer
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- Language: English
- Binding: Hardcover
- Publisher: Springer Nature Switzerland AG
- Genre: Mathematics
- ISBN: 9783030738389
- Pages: 304
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Mathematical Logic Features & Specifications stand apart in the PBCD : Mathematical logic category. The details about Mathematical Logic(English, Hardcover, Ebbinghaus Heinz-Dieter) are given below as well. Unboxing Mathematical Logic specs Language: English, Binding: Hardcover, Publisher: Springer Nature Switzerland AG, Genre: Mathematics, ISBN: 9783030738389, Pages: 304, & more details are given below
This textbook introduces first-order logic and its role in the foundations of mathematics by examining fundamental questions. What is a mathematical proof? How can mathematical proofs be justified? Are there limitations to provability? To what extent can machines carry out mathematical proofs? In answering these questions, this textbook explores the capabilities and limitations of algorithms and proof methods in mathematics and computer science. The chapters are carefully organized, featuring complete proofs and numerous examples throughout. Beginning with motivating examples, the book goes on to present the syntax and semantics of first-order logic. After providing a sequent calculus for this logic, a Henkin-type proof of the completeness theorem is given. These introductory chapters prepare the reader for the advanced topics that follow, such as Goedel's Incompleteness Theorems, Trakhtenbrot's undecidability theorem, Lindstroem's theorems on the maximality of first-order logic, and results linking logic with automata theory. This new edition features many modernizations, as well as two additional important results: The decidability of Presburger arithmetic, and the decidability of the weak monadic theory of the successor function. Mathematical Logic is ideal for students beginning their studies in logic and the foundations of mathematics. Although the primary audience for this textbook will be graduate students or advanced undergraduates in mathematics or computer science, in fact the book has few formal prerequisites. It demands of the reader only mathematical maturity and experience with basic abstract structures, such as those encountered in discrete mathematics or algebra.
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Mathematical Logic Specs
Book Details
| Title | Mathematical Logic |
| Imprint | Springer Nature Switzerland AG |
| Product Form | Hardcover |
| Publisher | Springer Nature Switzerland AG |
| Genre | Mathematics |
| ISBN13 | 9783030738389 |
| Book Category | Higher Education and Professional Books |
| BISAC Subject Heading | MAT018000 |
| Book Subcategory | Mathematics and Science Books |
| Language | English |
Dimensions
| Width | 20 mm |
| Height | 235 mm |
| Length | 155 mm |
| Weight | 698 gr |
Books Info
| Language | English |
| Binding | Hardcover |
| Pages | 304 |
| Publisher | Springer Nature Switzerland AG |
| Year | 0 |
| Author | Ebbinghaus Heinz-Dieter |
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