Lattice Theory

First Concepts and Distributive Lattices

Author: George Gratzer

Publisher: Courier Corporation

ISBN: 048647173X

Category: Mathematics

Page: 212

View: 1897

This outstanding text is written in clear language and enhanced with many exercises, diagrams, and proofs. It discusses historical developments and future directions and provides an extensive bibliography and references. 1971 edition.

Lattice Theory: Foundation

Author: George Grätzer

Publisher: Springer Science & Business Media

ISBN: 9783034800181

Category: Mathematics

Page: 614

View: 408

This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so Lattice Theory: Foundation focuses on introducing the field, laying the foundation for special topics and applications. Lattice Theory: Foundation, based on the previous three books, covers the fundamental concepts and results. The main topics are distributivity, congruences, constructions, modularity and semimodularity, varieties, and free products. The chapter on constructions is new, all the other chapters are revised and expanded versions from the earlier volumes. Almost 40 “diamond sections’’, many written by leading specialists in these fields, provide a brief glimpse into special topics beyond the basics. “Lattice theory has come a long way... For those who appreciate lattice theory, or who are curious about its techniques and intriguing internal problems, Professor Grätzer's lucid new book provides a most valuable guide to many recent developments. Even a cursory reading should provide those few who may still believe that lattice theory is superficial or naive, with convincing evidence of its technical depth and sophistication.” Bulletin of the American Mathematical Society “Grätzer’s book General Lattice Theory has become the lattice theorist’s bible.” Mathematical Reviews

Elements of the Theory of Markov Processes and Their Applications

Author: A. T. Bharucha-Reid

Publisher: Courier Corporation

ISBN: 0486150356

Category: Mathematics

Page: 480

View: 9330

This graduate-level text and reference in probability, with numerous applications to several fields of science, presents nonmeasure-theoretic introduction to theory of Markov processes. The work also covers mathematical models based on the theory, employed in various applied fields. Prerequisites are a knowledge of elementary probability theory, mathematical statistics, and analysis. Appendixes. Bibliographies. 1960 edition.

A Concept of Limits

Author: Donald W. Hight

Publisher: Courier Corporation

ISBN: 0486635430

Category: Mathematics

Page: 152

View: 6918

An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. It analyzes the idea of a generalized limit and explains sequences and functions to those for whom intuition cannot suffice. Many exercises with solutions. 1966 edition.

A Survey of Matrix Theory and Matrix Inequalities

Author: Marvin Marcus,Henryk Minc

Publisher: Courier Corporation

ISBN: 048667102X

Category: Mathematics

Page: 180

View: 9716

Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.

Introduction to Mathematical Fluid Dynamics

Author: Richard E. Meyer

Publisher: Courier Corporation

ISBN: 0486151409

Category: Science

Page: 192

View: 6791

Excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. Geared toward advanced undergraduate and graduate students of mathematics and science; prerequisites include calculus and vector analysis. 1971 edition.

Elementare Zahlentheorie

Author: Edmund Landau

Publisher: American Mathematical Soc.

ISBN: 0821836528

Category: Mathematics

Page: 180

View: 8790

Landau's monumental treatise is a virtual encyclopedia of number theory and is universally recognized as the standard work on the subject. The text is in German.

An Introduction to Information Theory

Author: Fazlollah M. Reza

Publisher: Courier Corporation

ISBN: 0486158446

Category: Mathematics

Page: 528

View: 4976

Graduate-level study for engineering students presents elements of modern probability theory, information theory, coding theory, more. Emphasis on sample space, random variables, capacity, etc. Many reference tables and extensive bibliography. 1961 edition.

Endliche Gruppen

Eine Einführung in die Theorie der endlichen Gruppen

Author: H. Kurzweil

Publisher: Springer-Verlag

ISBN: 3642953131

Category: Mathematics

Page: 190

View: 3347

Gesetze der Form

Author: George Spencer-Brown

Publisher: Joh. Bohmeier Verlag

ISBN: 9783890943213

Category: Algebraic logic

Page: 200

View: 725

Grundzüge der Mengenlehre

Author: Felix Hausdorff

Publisher: American Mathematical Soc.

ISBN: 9780828400619

Category: Mathematics

Page: 476

View: 5820

This reprint of the original 1914 edition of this famous work contains many topics that had to be omitted from later editions, notably, Symmetric Sets, Principle of Duality, most of the ``Algebra'' of Sets, Partially Ordered Sets, Arbitrary Sets of Complexes, Normal Types, Initial and Final Ordering, Complexes of Real Numbers, General Topological Spaces, Euclidean Spaces, the Special Methods Applicable in the Euclidean Plane, Jordan's Separation Theorem, the Theory of Content and Measure, the Theory of the Lebesgue Integral. The text is in German.

Einführung in die Kryptographie

Author: Johannes Buchmann

Publisher: Springer-Verlag

ISBN: 3642980600

Category: Computers

Page: 234

View: 4626

Dieses Kryptographiebuch behandelt die grundlegenden Techniken der modernen Kryptographie. Es eignet sich hervorragend für Studierende der Mathematik und der Informatik ab dem dritten Semester. Das Buch setzt nur minimale Kenntnisse voraus und vermittelt auf elementare Weise die notwendigen mathematischen Kenntnisse, insbesondere die aus der Zahlentheorie. Die Leser werden durch diese Einführung in die Lage versetzt, fortgeschrittene Literatur zur Kryptographie zu verstehen.