Download or read book The Mathematical Theory of Chromatic Plane Ornaments written by Thomas W. Wieting and published by . This book was released on 1982 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this book is to develop the coloring theory for plane ornaments, that is, for periodic tilings of the euclidean plane. Such tilings derive from the ornamental art of diverse cultures: from Sumerian cone mosaics, from Egyptian tomb paintings, from Chinese window lattices, from Greek border mosaics and vase paintings, from Islamic wall mosaics, from African textiles. In each of these and in many other cases, artisans have designed plane ornaments of marvelous variety and complexity. Nevertheless, every plane ornament respects certain principles of composition and hence must fall into one of a limited number of classes. Similarly, every coloration of such an ornament respects certain rules of distribution and hence must fall into one of a limited number of subclasses. The object of this book, then, is to define the criterion by which chromatic plane ornaments shall be classified and to develop procedures by which the classification my be implemented. -- Preface.

Download or read book The Mathematical Theory of Tone Systems written by Jan Haluska and published by CRC Press. This book was released on 2003-12-19 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Theory of Tone Systems patterns a unified theory defining the tone system in functional terms based on the principles and forms of uncertainty theory. This title uses geometrical nets and other measures to study all classes of used and theoretical tone systems, from Pythagorean tuning to superparticular pentatonics. Hundreds of examples of past and prevalent tone systems are featured. Topics include Fuzziness and Sonance, Wavelets and Nonspecificity, Pitch Granulation and Ambiguity, Equal Temperaments, Mean Tone Systems. Well Tempered Systems, Ptolemy Systems, and more. Appendices include extended lists of tone systems and a catalogue of historical organs with subsemitones.

Download or read book Mathematical Theory of Hemivariational Inequalities and Applications written by Zdzistaw Naniewicz and published by CRC Press. This book was released on 2021-07-29 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.

Download or read book Applications Of Orlicz Spaces written by M.M. Rao and published by CRC Press. This book was released on 2002-02-08 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents previously unpublished material on the fundumental pronciples and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes. Provides practical applications in statistics and probability.

Download or read book Algebraic Geometry for Associative Algebras written by Freddy Van Oystaeyen and published by CRC Press. This book was released on 2000-06-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create a blend of noncommutative algebraic geometry. It offers a scheme theory that sustains the duality between algebraic geometry and commutative algebra to the noncommutative level.

Download or read book Differential Geometry with Applications to Mechanics and Physics written by Yves Talpaert and published by CRC Press. This book was released on 2000-09-12 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.

Download or read book Discrete Geometry written by Andras Bezdek and published by CRC Press. This book was released on 2003-02-04 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analy

Download or read book Hopf Algebra written by Sorin Dascalescu and published by CRC Press. This book was released on 2000-09-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.

Download or read book Global Optimization Using Interval Analysis written by Eldon Hansen and published by CRC Press. This book was released on 2003-12-19 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis simplifies algorithm construction and increases generality of interval arithmetic. This Second Edition contains an up-to-date discussion of interval methods for solving systems of nonlinear equations and global optimization problems. It expands and improves various aspects of its forerunner and features significant new discussions, such as those on the use of consistency methods to enhance algorithm performance. Provided algorithms are guaranteed to find and bound all solutions to these problems despite bounded errors in data, in approximations, and from use of rounded arithmetic.

Download or read book Strange Functions in Real Analysis Second Edition written by A.B. Kharazishvili and published by CRC Press. This book was released on 2000-01-31 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to explicate extraordinary functions in real analysis and their applications. It examines the Baire category method, the Zermelo-Fraenkel set, the Axiom of Dependent Choices, Cantor and Peano type functions, the Continuum Hypothesis, everywhere differentiable nowhere monotone functions, and Jarnik's nowhere approximately differentiable functions.

Download or read book Applied Functional Analysis written by Abul Hasan Siddiqi and published by CRC Press. This book was released on 2003-09-19 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeatedly in scientific and technological applications and presides over the most current analytical and n

Download or read book Abstract Algebra written by Claudia Menini and published by CRC Press. This book was released on 2017-11-22 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.

Download or read book Inequalities for Finite Difference Equations written by B.G. Pachpatte and published by CRC Press. This book was released on 2001-12-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."

Download or read book Monomial Algebras written by Rafael Villarreal and published by CRC Press. This book was released on 2000-12-05 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the methods used to study monomial algebras and their presentation ideals, including Stanley-Reisner rings, subrings, and toric varieties. It emphasizes square-free quadratics and effective computational methods, and applies a combinatorial description of the integral closure of the corresponding monomial subring to graph theory.

Download or read book Ideal Systems written by Franz Halter-Koch and published by CRC Press. This book was released on 1998-04-21 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides for the first time a concise introduction to general and multiplicative ideal theory, valid for commutative rings and monoids and presented in the language of ideal systems on (commutative) monoids."

Download or read book Generalized Difference Methods for Differential Equations written by Ronghua Li and published by CRC Press. This book was released on 2000-01-03 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.

Download or read book Volterra and Integral Equations of Vector Functions written by Martin Vath and published by CRC Press. This book was released on 2000-01-03 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Develops and applies topological and algebraic methods to study abstract Volterra operators and differential equations arising in models for ""real-world"" phenomena in physics, biology, and a host of other disciplines. Presents completely new results that appear in book form for the first time."