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Logic A Brief Course

Author : Daniele Mundici
ISBN : 8847023610
Genre : Mathematics
File Size : 61.35 MB
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This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interesting to a wide range of students of philosophy and linguistics.
Category: Mathematics

Homer S Text And Language

Author : Gregory Nagy
ISBN : 0252029836
Genre : Literary Criticism
File Size : 67.36 MB
Format : PDF, Kindle
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In Homeric studies, an ongoing debate centers on different ways to establish the texts of Homer and the different ways to appreciate the poetry created in the language of Homer. Gregory Nagy, a lifelong Homer scholar, takes a stand in the midst of this debate. He presents an overview of millennia of engagement with Homer's poetry, shows the different editorial principles that have been applied to the texts, and evaluates their impact.
Category: Literary Criticism

Internationale Mathematische Nachrichten

Author :
ISBN : UCSD:31822020223954
Genre : Mathematics
File Size : 30.81 MB
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Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.
Category: Mathematics

From Special Relativity To Feynman Diagrams

Author : Riccardo D'Auria
ISBN : 9783319220147
Genre : Science
File Size : 25.7 MB
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This book, now in its second edition, provides an introductory course on theoretical particle physics with the aim of filling the gap that exists between basic courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. After a concise but comprehensive introduction to special relativity, key aspects of relativistic dynamics are covered and some elementary concepts of general relativity introduced. Basics of the theory of groups and Lie algebras are explained, with discussion of the group of rotations and the Lorentz and Poincaré groups. In addition, a concise account of representation theory and of tensor calculus is provided. Quantization of the electromagnetic field in the radiation range is fully discussed. The essentials of the Lagrangian and Hamiltonian formalisms are reviewed, proceeding from systems with a finite number of degrees of freedom and extending the discussion to fields. The final four chapters are devoted to development of the quantum field theory, ultimately introducing the graphical description of interaction processes by means of Feynman diagrams. The book will be of value for students seeking to understand the main concepts that form the basis of contemporary theoretical particle physics and also for engineers and lecturers. An Appendix on some special relativity effects is added.
Category: Science

Today S Education

Author :
ISBN : STANFORD:36105007887214
Genre : Education
File Size : 61.25 MB
Format : PDF
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Category: Education

Language International

Author :
ISBN : STANFORD:36105020584434
Genre : Language and languages
File Size : 37.12 MB
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Category: Language and languages

Nea Journal

Author : National Education Association of the United States
ISBN : UOM:39015022455466
Genre : Education
File Size : 50.73 MB
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Category: Education