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Introduction to Quantum Fields on a Lattice
Author: Jan Smit
Publisher: Cambridge University Press
Published: 2023-07-31
Total Pages: 285
ISBN-13: 1009402749
DOWNLOAD EBOOK →FGCS '92
Author:
Publisher: IOS Press
Published: 1992
Total Pages: 788
ISBN-13: 9784274077241
DOWNLOAD EBOOK →Neutrino 92
EPAC 92
Author: H. Henke
Publisher: Atlantica Séguier Frontières
Published: 1992
Total Pages: 942
ISBN-13: 9782863321157
DOWNLOAD EBOOK →The Problem of Integrable Discretization
Author: Yuri B. Suris
Publisher: Springer Science & Business Media
Published: 2003-06-20
Total Pages: 1118
ISBN-13: 9783764369958
DOWNLOAD EBOOK →An exploration of the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent variables in a given integrable system of differential equations, maintaining the integrability property? This question (related in spirit to such a modern branch of numerical analysis as geometric integration) is treated in the book as an immanent part of the theory of integrable systems, also commonly termed as the theory of solitons. Most of the results are only available from recent journal publications, many of them are new. Thus, the book is a kind of encyclopedia on discrete integrable systems. It unifies the features of a research monograph and a handbook. It is supplied with an extensive bibliography and detailed bibliographic remarks at the end of each chapter. Largely self-contained, it will be accessible to graduate and post-graduate students as well as to researchers in the area of integrable dynamical systems.
Phenomenology And Lattice Qcd - Proceedings Of The 1993 Uehling Summer School
Author: Sharpe Stephen R
Publisher: World Scientific
Published: 1995-12-21
Total Pages: 340
ISBN-13: 981454938X
DOWNLOAD EBOOK →These six lecture courses provide the background necessary in the understanding of the application of lattice methods to phenomenology, and give examples of interesting applications. The first three introduce the necessary techniques: chiral perturbation theory, heavy quark effective field theory, and lattice gauge theory. The remaining three describe how these techniques are used, mainly in lattice simulations, in the study of interesting phenomenological questions: vacuum structure, finite temperature QCD, and electroweak matrix elements. What distinguishes this volume from others is its focus on providing the background necessary for us to understand the methods and the significance of lattice gauge theory research.
The Geometry of Numbers
Author: C. D. Olds
Publisher: Cambridge University Press
Published: 2001-02-22
Total Pages: 198
ISBN-13: 9780883856437
DOWNLOAD EBOOK →A self-contained introduction to the geometry of numbers.
The Congruences of a Finite Lattice
Author: George Grätzer
Publisher: Springer Nature
Published: 2023-03-23
Total Pages: 440
ISBN-13: 3031290631
DOWNLOAD EBOOK →The congruences of a lattice form the congruence lattice. Over the last several decades, the study of congruence lattices has established itself as a large and important field with a great number of interesting and deep results, as well as many open problems. Written by one of the leading experts in lattice theory, this text provides a self-contained introduction to congruences of finite lattices and presents the major results of the last 90 years. It features the author’s signature “Proof-by-Picture” method, which is used to convey the ideas behind formal proofs in a visual, more intuitive manner. Key features include: an insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruence-preserving extensions complete proofs, an extensive bibliography and index, and over 180 illustrations additional chapters covering new results of the last seven years, increasing the size of this edition to 430 pages, 360 statements, and 262 references This text is appropriate for a one-semester graduate course in lattice theory, and it will also serve as a valuable reference for researchers studying lattices. Reviews of previous editions: “[This] monograph...is an exceptional work in lattice theory, like all the contributions by this author. The way this book is written makes it extremely interesting for the specialists in the field but also for the students in lattice theory. — Cosmin Pelea, Studia Universitatis Babes-Bolyai Mathematica LII (1), 2007 "The book is self-contained, with many detailed proofs presented that can be followed step-by-step. I believe that this book is a much-needed tool for any mathematician wishing a gentle introduction to the field of congruences representations of finite lattices, with emphasis on the more 'geometric' aspects." — Mathematical Reviews
General Lattice Theory
Author: G. Grätzer
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 392
ISBN-13: 3034876335
DOWNLOAD EBOOK →In the first half of the nineteenth century, George Boole's attempt to formalize propositional logic led to the concept of Boolean algebras. While investigating the axiomatics of Boolean algebras at the end of the nineteenth century, Charles S. Peirce and Ernst Schröder found it useful to introduce the lattice concept. Independently, Richard Dedekind's research on ideals of algebraic numbers led to the same discov ery. In fact, Dedekind also introduced modularity, a weakened form of distri butivity. Although some of the early results of these mathematicians and of Edward V. Huntington are very elegant and far from trivial, they did not attract the attention of the mathematical community. It was Garrett Birkhoff's work in the mid-thirties that started the general develop ment of lattice theory. In a brilliant series of papers he demonstrated the importance of lattice theory and showed that it provides a unifying framework for hitherto unrelated developments in many mathematical disciplines. Birkhoff himself, Valere Glivenko, Karl Menger, John von Neumann, Oystein Ore, and others had developed enough of this new field for Birkhoff to attempt to "seIl" it to the general mathematical community, which he did with astonishing success in the first edition of his Lattice Theory. The further development of the subject matter can best be followed by com paring the first, second, and third editions of his book (G. Birkhoff [1940], [1948], and [1967]).
