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39 produkter
Symmetry and Separation of Variables
Inbunden, 1984
1987 kr
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Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the …
Angular Momentum in Quantum Physics
Theory and Application
Av L. C. Biedenharn, James D. Louck m. fl.
Inbunden, 1984
3046 kr
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This 1985 text develops the theory of angular momentum from the viewpoint of a fundamental symmetry in nature and shows how this concept relates to applied areas of research in modern quantum physics.
Product Integration with Application to Differential Equations
Av John Day Dollard, Charles N. Friedman m. fl.
Inbunden, 1984
1647 kr
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Originally published in 1979, this book shows the beautiful simplifications that can be brought to the theory of differential equations by treating such equations from the product integral viewpoint. The first chapter of the book, dealing with linear ordinary differential equations, should be …
The One-Dimensional Heat Equation
Av John Rozier Cannon, G. -C Rota m. fl.
Inbunden, 1984
2524 kr
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This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information …
Computation and Automata
Av Arto Salomaa, G. -C Rota m. fl.
Inbunden, 1985
2381 kr
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In this book, which was originally published in 1985, Arto Salomaa gives an introduction to certain mathematical topics central to theoretical computer science: computability and recursive functions, formal languages and automata, computational complexity and cryptography. Without sacrificing …
Model Theory
Inbunden, 1993
3991 kr
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This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, …
Interval Methods for Systems of Equations
Inbunden, 1991
1987 kr
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An interval is a natural way of specifying a number that is specified only within certain tolerances. Interval analysis consists of the tools and methods needed to solve linear and nonlinear systems of equations in the presence of data uncertainties. Applications include the sensitivity analysis of …
Factorization Calculus and Geometric Probability
Av R. V. Ambartzumian, G. -C Rota
Inbunden, 1990
1970 kr
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This unique book develops the classical subjects of geometric probability and integral geometry, and the more modern one of stochastic geometry, in rather a novel way to provide a unifying framework in which they can be studied. The author focuses on factorisation properties of measures and …
Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
Av Theodore W. Palmer, G. -C Rota m. fl.
Inbunden, 1994
3306 kr
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This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasises the role of *-algebra structure and explores the algebraic results which underlie the theory of Banach …
Finite Fields
Av Rudolf Lidl, Harald Niederreiter m. fl.
Inbunden, 1996
3883 kr
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The theory of finite fields is a branch of algebra that has come to the fore because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching ciruits. This book is devoted entirely to the theory of finite fields, and it provides comprehensive …
Minkowski Geometry
Inbunden, 1996
2312 kr
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Minkowski geometry is a type of non-Euclidean geometry in a finite number of dimensions in which distance is not 'uniform' in all directions. This book presents the first comprehensive treatment of Minkowski geometry since the 1940s. The author begins by describing the fundamental metric properties …
General Orthogonal Polynomials
Av Herbert Stahl, Vilmos Totik m. fl.
Inbunden, 1992
1987 kr
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In this treatise, the authors present the general theory of orthogonal polynomials on the complex plane and several of its applications. The assumptions on the measure of orthogonality are general, the only restriction is that it has compact support on the complex plane. In the development of the …
Computation with Finitely Presented Groups
Av Charles C. Sims, G. -C Rota m. fl.
Inbunden, 1994
2769 kr
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Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental …
Skew Fields
Theory of General Division Rings
Av P. M. Cohn, G. -C Rota
Inbunden, 1995
2524 kr
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Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts, and most accounts have hitherto been confined to division algebras - that is skew fields finite dimensional over their centre. Based on the author's LMS lecture …
Random Graphs
Av V. F. Kolchin, G. -C Rota m. fl.
Inbunden, 1998
1970 kr
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This book is devoted to the study of classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. The author shows how the application of the generalized scheme of allocation in the study of random graphs and permutations reduces …
Handbook of Categorical Algebra: Volume 1, Basic Category Theory
Av Francis Borceux, G. -C Rota m. fl.
Inbunden, 1994
2379 kr
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A Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and …
Handbook of Categorical Algebra: Volume 2, Categories and Structures
Av Francis Borceux, G. -C Rota m. fl.
Inbunden, 1994
3274 kr
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The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the …
Handbook of Categorical Algebra: Volume 3, Sheaf Theory
Av Francis Borceux, G. -C Rota m. fl.
Inbunden, 1994
3486 kr
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The Handbook of Categorical Algebra is intended to give, in three volumes, a rather detailed account of what, ideally, everybody working in category theory should know, whatever the specific topic of research they have chosen. The book is planned also to serve as a reference book for both …
Bounded Arithmetic, Propositional Logic and Complexity Theory
Av Jan Krajicek, G. -C Rota m. fl.
Inbunden, 1995
2312 kr
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This book presents an up-to-date, unified treatment of research in bounded arithmetic and complexity of propositional logic, with emphasis on independence proofs and lower bound proofs. The author discusses the deep connections between logic and complexity theory and lists a number of intriguing …
Sperner Theory
Inbunden, 1997
2312 kr
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The starting point of this book is Sperner's theorem, which answers the question: What is the maximum possible size of a family of pairwise (with respect to inclusion) subsets of a finite set? This theorem stimulated the development of a fast growing theory dealing with external problems on finite …
Semimodular Lattices
Theory and Applications
Av Manfred Stern, G. -C Rota m. fl.
Inbunden, 1999
1864 kr
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In Semimodular Lattices: Theory and Applications Manfred Stern uses successive generalizations of distributive and modular lattices to outline the development of semimodular lattices from Boolean algebras. He focuses on the important theory of semimodularity, its many ramifications, and its …
Geometric Applications of Fourier Series and Spherical Harmonics
Inbunden, 1996
1987 kr
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This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics …
Nonnegative Matrices and Applications
Av R. B. Bapat, T. E. S. Raghavan m. fl.
Inbunden, 1997
2312 kr
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This book provides an integrated treatment of the theory of nonnegative matrices (matrices with only positive numbers or zero as entries) and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimisation and mathematical …
Introduction to the Modern Theory of Dynamical Systems
Av Anatole Katok, Boris Hasselblatt m. fl.
Häftad, 1996
1237 kr
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This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in …
Algorithmic Algebraic Number Theory
Av M. Pohst, H. Zassenhaus m. fl.
Häftad, 1997
1498 kr
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Now in paperback, this classic book is addressed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an …
Quantum Field Theory for Mathematicians
Inbunden, 1999
2980 kr
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The approach to quantum field theory in this book is part way between building a mathematical model of the subject and presenting the mathematics that physicists actually use. It starts with the need to combine special relativity and quantum mechanics and culminates in a basic understanding of the …
Polynomials with Special Regard to Reducibility
Inbunden, 2000
2834 kr
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This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of …
Lie's Structural Approach to PDE Systems
Av Olle Stormark, G. -C Rota m. fl.
Inbunden, 2000
2736 kr
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This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The …
Asymptotics and Mellin-Barnes Integrals
Av R. B. Paris, D. Kaminski m. fl.
Inbunden, 2001
2312 kr
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Asymptotics and Mellin-Barnes Integrals, first published in 2001, provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After …
Stochastic Integration with Jumps
Av Klaus Bichteler, G. -C Rota
Inbunden, 2002
2687 kr
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Stochastic processes with jumps and random measures are importance as drivers in applications like financial mathematics and signal processing. This 2002 text develops stochastic integration theory for both integrators (semimartingales) and random measures from a common point of view. Using some …
