Introduction to Mathematical Logic (Extended Edition), Walicki Michal
Автор: Herbert Enderton Название: A Mathematical Introduction to Logic, ISBN: 0122384520 ISBN-13(EAN): 9780122384523 Издательство: Elsevier Science Рейтинг: Цена: 13994.00 р. Наличие на складе: Поставка под заказ.
Описание: Presents material on computer science issues such as computational complexity and database queries, with coverage of introductory material such as sets. This book helps instructors with choices in how they use the textbook in courses, and reduced mathematical rigour to fit the needs of undergraduate students.
Автор: Mendelson Elliott Название: Introduction to Mathematical Logic ISBN: 1482237725 ISBN-13(EAN): 9781482237726 Издательство: Taylor&Francis Рейтинг: Цена: 8184.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of G del, Church, Kleene, Rosser, and Turing.
The sixth edition incorporates recent work on G del's second incompleteness theorem as well as restoring an appendix on consistency proofs for first-order arithmetic. This appendix last appeared in the first edition. It is offered in the new edition for historical considerations. The text also offers historical perspectives and many new exercises of varying difficulty, which motivate and lead students to an in-depth, practical understanding of the material.
Описание: This text makes a great supplement and provides a systematic approach for teaching undergraduate and graduate students how to read, understand, think about, and do proofs.
Автор: Herbera Название: Extended Abstracts Spring 2015 ISBN: 3319454404 ISBN-13(EAN): 9783319454405 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Homological Algebra on an Adams Algebraic Stack.- Lyubeznik Numbers of Local Rings and Linear Strands of Graded Ideals.- The Heart of a t-Structure Induced by a n-Tilting Module.- On Some Local Cohomology Spectral Sequences.- Homotopy Representations of Classifying Spaces.- Decomposing Gorenstein Rings as Connected Sums.- Rigid and Test Modules.- Tate Homology Beyond Gorenstein Rings.- On the Classication of Artin Algebras and the Inverse System of Macaulay.- Purity in Categories of Sheaves.- Idempotent Functors and Nilpotent Spaces.- Decomposition Spaces and Incidence (Co)Algebras.- Cellular Approximations for Fusion Systems.- Homological Epimorphisms and the Lie Bracket in Hochschild Cohomology.- Gorenstein Projective Precovers.- Hochschild Homology on Schemes and Fundamental Class.- A Remark on Leclerc's Frobenius Categories.- Atom-Molecule Correspondence in Grothendieck Categories.- Proalgebraic Crossed Modules of QuasirationalPresentations.- Some F-Invariants for Quotient Singularities.- Strong Generation of Some Derived Categories of Schemes.- Regularity of Products over Quadratic Hypersurfaces.- Phantom Maps and Representability.- Six Operations on dg Enhancements of Derived Categories of Sheaves and Applications.- Tensor Product of Dualizing Complexes over a Field.- Strong Generators in Tensor Triangulated Categories.- Abelian Model Structures and Applications.- Singularity Categories of Stable Resolving Subcategories and Applications to Gorenstein Rings.- Classes of Flat Modules Arising in AlgebraicGeometry and Approximations.- The Dual Graph of an Arithmetically GorensteinScheme.- Baez-Dolan Stabilization via (Semi-)Model Categories of Operads.- Vanishing of Tor.- Prime Ideals in Noetherian Rings.
Автор: Roberts Название: Introduction to Mathematical Proofs, Second Edition ISBN: 1482246872 ISBN-13(EAN): 9781482246872 Издательство: Taylor&Francis Рейтинг: Цена: 15312.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.
Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers.
It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs.
This new edition includes more than 125 new exercises in sections titled More Challenging Exercises. Also, numerous examples illustrate in detail how to write proofs and show how to solve problems. These examples can serve as models for students to emulate when solving exercises.
Several biographical sketches and historical comments have been included to enrich and enliven the text. Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It prepares them to succeed in more advanced mathematics courses, such as abstract algebra and analysis.
Автор: Church, Alonzo Название: Introduction to mathematical logic ISBN: 0691029067 ISBN-13(EAN): 9780691029061 Издательство: Wiley Рейтинг: Цена: 13939.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church`s contributions to number theory and theories of algorithms and computability laid the theoretical foundations of computer science. This book is a basic source for understanding formal logic.
Автор: Walicki Michal Название: Introduction to Mathematical Logic ISBN: 981471996X ISBN-13(EAN): 9789814719964 Издательство: World Scientific Publishing Рейтинг: Цена: 6336.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.
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