4 edition of **Symbolic computation, number theory, special functions, physics, and combinatorics** found in the catalog.

Symbolic computation, number theory, special functions, physics, and combinatorics

- 199 Want to read
- 22 Currently reading

Published
**2001** by Kluwer Academic Publishers in Dordrecht, Boston .

Written in English

- q-series -- Congresses,
- Algebra -- Data processing -- Congresses,
- Number theory -- Congresses,
- Functions, Special -- Congresses,
- Mathematical physics -- Congresses,
- Combinatorial analysis -- Congresses

**Edition Notes**

Includes bibliographical references.

Statement | edited by Frank G. Garvan and Mourad E.H. Ismail. |

Genre | Congresses. |

Series | Developments in mathematics -- v. 4., Developments in mathematics -- v. 4. |

Contributions | Garvan, Frank 1955-, Ismail, Mourad, 1944- |

Classifications | |
---|---|

LC Classifications | QA295 .S86 2001 |

The Physical Object | |

Pagination | x, 283 p. : |

Number of Pages | 283 |

ID Numbers | |

Open Library | OL21504921M |

ISBN 10 | 1402001010 |

LC Control Number | 2001050220 |

OCLC/WorldCa | 48013194 |

In both classical and quantum physics there are fundamental statistical distribution functions f (E) that describe how particles in a system, on average, are distributed among the available energy states of the system. In classical physics, f wo. Algebra refers to the use and manipulation of symbols, often with each representing some mathematical entity such as a quantity (think integer or real number), a set with special structure (think group, ring, topological space, or vector bundle) or an element of such a set, or a relation (think function, partial order, or homomorphism). rems in number theory, K-theory of Chevalley groups, combinatorial num-ber theory, and generation of matrix groups over rings. The book, which will be available in digital format, and will be housed as always on the Academy website, will be valuable to both students and experts as a useful handbook on Number Theory and Combinatorics. Amitabh Joshi.

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These are number theory proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, The main emphasis of the conference was Com puter Algebra (i.

symbolic computation) and how it related to Author: Frank G. Garvan. These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, The main emphasis of the conference was Com puter Algebra (i.

These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Read more.

Description: These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, The main emphasis of the conference was Com puter Algebra (i.

symbolic computation) and how it. Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics Scott Ahlgren (auth.), Frank G. Garvan, Mourad E. Ismail (eds.) These are the proceedings of the conference "Symbolic Computation, Number Theory, Symbolic computation Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida.

Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications.

The term is defined by consensus, and thus lacks a general formal definition, but the List of mathematical functions contains functions that are commonly. SYMBOLIC COMPUTATION, NUMBER THEORY, SPECIAL FUNCTIONS, PHYSICS AND COMBINATORICS (HARDBACK) Kluwer Academic Publishers, United States, Hardback.

Book Condition: New. ed. x mm. Language: English. Brand New Book ***** Print on Demand *****.These are the proceedings of the conference Symbolic Computation. These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, The main emphasis of the conference was Com puter Algebra (i.

Symbolic computation) and how it related to the fields of Number. This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers.

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The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to Theoreti cal Physics. The first part is mathematically oriented; it deals mostly with ellip tic curves, modular forms, zeta functions, Galois theory, Riemann surfaces, and p-adic analysis.

The author provides an introduction to the classical number theory special functions which play a role in mathematical physics, especially in boundary value problems.

Written for students and researchers in mathematics, physics, and engineering who encounter special functions in their work and for whom the results are too scattered in the general Cited by: { Number Theory and Combinatorics in Physics Conference Funded by NSF (DMS ), NSA and The Number Theory Foundation.

Total award $20, { Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics Conference Funded by NSF (DMS), NSA and The Number Theory Foundation.

Total. Destination page number Search scope Search Text Search scope Search Text. The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic key features, in isolation or.

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Problems and prospects for basic hypergeometric functions. Theory and Application of Special Functions, R. Askey, ed., Academic Press, NY, pp.

() The theory of compositions, III: MacMahon's formula and the Stanton-Cowan numbers. Utilitas Math. () MacMahon's conjecture on symmetric plane partitions. Proc. Nat. Symbolic Computation, Number Theory, Special Functions, Physics, and Combinatorics Garvan, Frank (EDT)/ Ismail, Mourad E. (EDT) / Springer, Boston / / (目前无人评价).

Ismail has published numerous papers on special functions, orthogonal polynomials, approximation theory, combinatorics, asymptotics, and related topics.

His well-known book Classical and Quantum Orthogonal Polynomials in One Variable was published by Cambridge University Press in and reprinted with corrections in paperback in Ismail ().

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics, from evolutionary biology to computer science, etc.

To fully understand the scope of. This document contains the lecture notes for the course MCSintroduction to symbolic computation, at the University of Illinois at Chicago. The course was inspired by the book of A.

Heck, introduction to Maple, the second edition, published by Springer in From tillthe course was offered, using Maple, about once everyFile Size: 7MB. A Course in Computational Number Theory uses the computer as a tool for motivation and explanation.

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Tewodros Amdeberhan studies combinatorics, number theory, special functions, partial differential equations, computer algebra, algorithmic proof theory, and harmonic analysis. His articles on these topics, as well as some unpublished musings, are available more>> The Theory Group - University of St.

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Gabutti and B. Minetti () A new application of the discrete Laguerre polynomials in the numerical evaluation of the Hankel transform of a strongly decreasing even function. Comput. Phys. 42 (2), pp. – Combinatorics and statistical physics "Graph Theory and Statistical Physics", J.W.

Essam, Discrete Mathematics, 1, (). Combinatorics In Statistical Physics; Hard Constraints and the Bethe Lattice: Adventures at the Interface of Combinatorics and Statistical Physics, Graham Brightwell, Peter Winkler. Research Institute of Symbolic Computation (RISC-Linz) The Research Institute for Symbolic Computation, RISC, is an Austrian institute devoted to the field of symbolic computation.

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View Show abstractAuthor: Dennis Stanton. American Mathematical Society Charles Street Providence, Rhode Island or AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S.

Patent and Trademark Cited by: the primary means of accessing the special functions of mathe-matical physics. A number of high level programs exist that are better suited for this purpose, including Mathematica, Maple, MATHLAB, and Mathcad.

The College has site licenses for sev-eral of these programs, and I let students use their program of Size: 1MB. This package is part of the RISCErgoSum bundle.

With Gosper’s algorithm you can find closed forms for indefinite hypergeometric sums. If you do not succeed, then you may use Zeilberger’s algorithm to come up with a recurrence relation for that sum.

Both algorithms may be used to find and prove identities involving hypergeometric terms and sums of those. Sequential transducers and functions 73 Notes 74 Representation in integer base 74 Representation in real base 74 Canonical numeration systems 76 Representation in rational base 76 References 78 Notation Index 83 General Index 84 Chapter 2, to appear in Combinatorics, Automata and Number Theory.MATH special topics courses may be substituted for Mathematics Electives with departmental permission.

Categories of Electives Humanities and arts electives Designated courses in art, art history, communication studies, foreign languages (level or above), history, literature, music, philosophy, religion, and theatre arts. Prof. Carlo Viola began his scientific activity in He is interested in various aspects of analytic as well as of geometric number theory, and especially in diophantine approximation.

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