A Tribute to Emil Grosswald: Number Theory and Related by Emil Grosswald, Marvin Isadore Knopp, Mark Sheingorn

By Emil Grosswald, Marvin Isadore Knopp, Mark Sheingorn

Emil Grosswald was once a mathematician of significant accomplishment and memorable breadth of imaginative and prescient. This quantity can pay tribute to the span of his mathematical pursuits, that is mirrored within the wide variety of papers accrued right here. With contributions via prime modern researchers in quantity concept, modular capabilities, combinatorics, and comparable research, this ebook will curiosity graduate scholars and experts in those fields. The top of the range of the articles and their shut connection to present examine traits make this quantity a needs to for any arithmetic library

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Unitary Symmetry And Combinatorics by James D. Louck

By James D. Louck

This publication is a masterpiece! it's a nice evidence that every thing is said, and thatNatute, while analyzed deeply, reduces to combinatorics. One particulary attractivetidbit was once the stating that MacMahon's grasp theorem is necessary in physics, and in reality a version of it used to be rediscovered by way of nobelist Julian Schwinger of QED fame.This e-book is just too lengthy to be learn cover-to-cover, however it is so well-written that in the event you open it at any bankruptcy, it is going to nonetheless be comprehensible. this can be the mostcomprehensive remedy of the Racah image i'm conscious of. an individual who's inseeing how algebraic combinatorics can be utilized successfully in mathematical physics, may still learn no less than elements of this publication.

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Counting and Configurations by Jiri Herman, Radan Kucera, Jaromir Simsa

By Jiri Herman, Radan Kucera, Jaromir Simsa

This booklet provides equipment of fixing difficulties in 3 parts of common combinatorial arithmetic: classical combinatorics, combinatorial mathematics, and combinatorial geometry. short theoretical discussions are instantly by means of conscientiously worked-out examples of accelerating levels of hassle and by means of workouts that diversity from regimen to fairly tough. The booklet good points nearly 310 examples and 650 exercises.

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Logic, induction and sets by Thomas Forster

By Thomas Forster

Philosophical issues, that are frequently overlooked or handled casually, are given cautious attention during this advent. Thomas Forster locations the thought of inductively outlined units (recursive datatypes) on the heart of his exposition leading to an unique research of good confirmed themes. The presentation illustrates tricky issues and comprises many workouts. Little prior wisdom of common sense is needed and just a wisdom of normal undergraduate arithmetic is thought.

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Young Tableaux: With Applications to Representation Theory by William Fulton

By William Fulton

Observe: it is a flatbed experiment (2 booklet pages = 1 dossier page)

This booklet develops the combinatorics of younger tableaux and exhibits them in motion within the algebra of symmetric capabilities, representations of the symmetric and basic linear teams, and the geometry of flag kinds. the 1st a part of the booklet is a self-contained presentation of the easy combinatorics of younger tableaux, together with the awesome buildings of "bumping" and "sliding", and a number of other fascinating correspondences. partly II the writer makes use of those effects to check representations with geometry on Grassmannians and flag manifolds, together with their Schubert subvarieties, and the similar Schubert polynomials. a lot of this fabric hasn't ever prior to seemed in ebook shape. there are lots of routines all through, with tricks and solutions supplied. Researchers in illustration idea and algebraic geometry in addition to in combinatorics will locate this e-book fascinating and worthwhile, whereas scholars will locate the intuitive presentation effortless to persist with.

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LEDA - A platform for Combinatorial and Geometric Computing by Kurt Mehlhorn

By Kurt Mehlhorn

Within the middle laptop technological know-how areas--data buildings, graph and community algorithms, and computational geometry--LEDA is the 1st library to hide all fabric present in the normal textbooks. Written in C++ and freely to be had world wide on various undefined, the software program is put in at hundreds and hundreds of websites. This e-book, written via the most authors of LEDA, is the definitive account of ways the procedure operates and the way it may be used. The authors provide considerable examples from a number of components to teach sensible makes use of of the library, making the e-book crucial for all researchers in algorithms, info buildings and computational geometry.

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Smarandache Multi-Space Theory, Second Edition by Linfan Mao

By Linfan Mao

A Smarandache multi-space is a union of n diversified areas equipped
with various buildings for an integer n ≥ 2, which are used for structures either in
nature or people. This textbook introduces Smarandache multi-spaces such as
those of algebraic multi-spaces, together with graph multi-spaces, multi-groups, multi-rings,
multi-fields, vector multi-spaces, geometrical multi-spaces, really map geometry
with or with out boundary, pseudo-Euclidean geometry on Rn, combinatorial Euclidean
spaces, combinatorial manifolds, topological teams and topological multi-groups, combinatorial
metric areas, • • •, and so forth. and functions of Smarandache multi-spaces, particularly
to physics, economic system and epidemiology. actually, Smarandache multi-spaces
underlying graphs are a huge systematically proposal for medical study in 21st
century. This booklet might be acceptable for graduate scholars in combinatorics, topological
graphs, Smarandache geometry, physics and macro-economy as a textbook.

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Combinatorial & Computational Mathematics: Present and by S. Hong, K.H. Kim, J.H. Kwah, Sungpyo Hong, Jin Ho Kwak, Ki

By S. Hong, K.H. Kim, J.H. Kwah, Sungpyo Hong, Jin Ho Kwak, Ki Hang Kim, Fred W. Roush

This booklet describes and summarizes prior paintings in vital parts of combinatorics and computation, in addition to offers instructions for researchers operating in those components within the twenty first century. It comprises basically survey papers and provides unique learn via Peter Fishburn, Jim Ho Kwak, Jaeun Lee, K.H. Kim, F.W. Roush and Susan Williams. The papers care for probably the most intriguing and promising advancements within the parts of coding concept relating to quantity conception, lattice conception and its purposes, graph thought and its functions, topological thoughts in combinatorics, symbolic dynamics and mathematical social technological know-how.

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