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Author : Gian-Carlo Rota
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (296 download)
Download or read book Finite Operator Calculus written by Gian-Carlo Rota and published by . This book was released on 1972 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gian-Carlo Rota
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.3/5 (91 download)
Download or read book Finite Operator Calculus written by Gian-Carlo Rota and published by . This book was released on 1975 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jiajun Tang
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (18 download)
Download or read book Finite Operator Calculus and Ploynomial Sequences written by Jiajun Tang and published by . This book was released on 2014 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Massachusetts Institute of Technology
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (726 download)
Download or read book On the Foundations of Combinatorial Theory. VIII. Finite Operator Calculus, by Gian-Carlo Rota with D. Kahaner and A. Odlyzko written by Massachusetts Institute of Technology and published by . This book was released on 19?? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Douglas N. Arnold
Publisher : SIAM
ISBN 13 : 1611975530
Total Pages : 126 pages
Book Rating : 4.6/5 (119 download)
Download or read book Finite Element Exterior Calculus written by Douglas N. Arnold and published by SIAM. This book was released on 2018-12-12 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world?wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more?are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes. The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.
Author : Markus Haase
Publisher : Springer Science & Business Media
ISBN 13 : 3764376988
Total Pages : 399 pages
Book Rating : 4.7/5 (643 download)
Download or read book The Functional Calculus for Sectorial Operators written by Markus Haase and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators. The account is generic so that it can be used to construct and interrelate holomorphic functional calculi for other types of unbounded operators. Particularly, an elegant unified approach to holomorphic semigroups is obtained. The last chapter describes applications to PDE, evolution equations and approximation theory as well as the connection with harmonic analysis.
Author : Frank M. Cholewinski
Publisher : American Mathematical Soc.
ISBN 13 : 0821850830
Total Pages : 136 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Finite Calculus Associated with Bessel Functions written by Frank M. Cholewinski and published by American Mathematical Soc.. This book was released on 1988 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although Bessel functions are among the most widely used functions in applied mathematics, this book is essentially the first to present a calculus associated with this class of functions. The author obtains a generalized umbral calculus associated with the Euler operator and its associated Bessel eigenfunctions for each positive value of an index parameter. For one particular value of this parameter, the functions and operators can be associated with the radial parts of $n$-dimensional Euclidean space objects. Some of the results of this book are in part extensions of the work of Rota and his co-workers on the ordinary umbral calculus and binomial enumeration. The author also introduces a wide variety of new polynomial sequences together with their groups and semigroup compositional properties. Generalized Bernoulli, Euler, and Stirling numbers associated with Bessel functions and the corresponding classes of polynomials are also studied. The book is intended for mathematicians and physicists at the research level in special function theory.
Author : P. Feinsilver
Publisher : Springer
ISBN 13 : 0585280037
Total Pages : 151 pages
Book Rating : 4.5/5 (852 download)
Download or read book Algebraic Structures and Operator Calculus written by P. Feinsilver and published by Springer. This book was released on 2007-07-11 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume we will present some applications of special functions in computer science. This largely consists of adaptations of articles that have appeared in the literature . Here they are presented in a format made accessible for the non-expert by providing some context. The material on group representations and Young tableaux is introductory in nature. However, the algebraic approach of Chapter 2 is original to the authors and has not appeared previously . Similarly, the material and approach based on Appell states, so formulated, is presented here for the first time . As in all volumes of this series, this one is suitable for self-study by researchers . It is as well appropriate as a text for a course or advanced seminar . The solutions are tackled with the help of various analytical techniques, such as g- erating functions, and probabilistic methods/insights appear regularly . An interesting feature is that, as has been the case in classical applications to physics, special functions arise- here in complexity analysis. And, as in physics, their appearance indicates an underlying Lie structure. Our primary audience is applied mathematicians and theoretical computer scientists . We are quite sure that pure mathematicians will find this volume interesting and useful as well .
Author :
Publisher : Academic Press
ISBN 13 : 0080874304
Total Pages : 207 pages
Book Rating : 4.0/5 (88 download)
Download or read book The Umbral Calculus written by and published by Academic Press. This book was released on 1984-03-21 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Umbral Calculus
Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author : Stefan Hildebrandt
Publisher : Springer
ISBN 13 : 3540460241
Total Pages : 433 pages
Book Rating : 4.5/5 (44 download)
Download or read book Partial Differential Equations and Calculus of Variations written by Stefan Hildebrandt and published by Springer. This book was released on 2006-11-14 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.
Author : René Schott
Publisher : World Scientific
ISBN 13 : 1848168764
Total Pages : 428 pages
Book Rating : 4.8/5 (481 download)
Download or read book Operator Calculus on Graphs written by René Schott and published by World Scientific. This book was released on 2012 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science. Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.
Author : Henry H. Crapo
Publisher : MIT Press (MA)
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Foundations of Combinatorial Theory: Combinatorial Geometries written by Henry H. Crapo and published by MIT Press (MA). This book was released on 1970 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major aim of this book is to present the theory of combinatorial geometry in a form accessible to mathematicians working in disparate subjects.
Author : Tepper Gill
Publisher : Springer
ISBN 13 : 331927595X
Total Pages : 370 pages
Book Rating : 4.3/5 (192 download)
Download or read book Functional Analysis and the Feynman Operator Calculus written by Tepper Gill and published by Springer. This book was released on 2016-03-30 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.
Author : John Horton Conway
Publisher : Courier Corporation
ISBN 13 : 0486310582
Total Pages : 162 pages
Book Rating : 4.4/5 (863 download)
Download or read book Regular Algebra and Finite Machines written by John Horton Conway and published by Courier Corporation. This book was released on 2012-09-16 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world-famous mathematician explores Moore's theory of experiments, Kleene's theory of regular events and expressions, differential calculus of events, the factor matrix, theory of operators, much more. Solutions. 1971 edition.
Author : Israel Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034879806
Total Pages : 428 pages
Book Rating : 4.0/5 (348 download)
Download or read book Basic Classes of Linear Operators written by Israel Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive graduate textbook that introduces functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. As a textbook designed for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces including Banach spaces. Presented as a natural continuation of linear algebra, the book provides a firm foundation in operator theory which is an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.
Author : Clarence Hudson Richardson
Publisher :
ISBN 13 : 9781258319267
Total Pages : 150 pages
Book Rating : 4.3/5 (192 download)
Download or read book An Introduction to the Calculus of Finite Differences written by Clarence Hudson Richardson and published by . This book was released on 2012-05-01 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
