3 Remarques sur la notation des fonctions algébriques , Journal für die reine und angewandte Mathematik 50 ( 1855 ) 282-285 [ reprented in : The Collected Mathematical Papers of Arthur Cayley , Vol . II , The University Press ...

Author: Alexander Schrijver

Publisher: John Wiley & Sons

ISBN: 0471982326

Category: Mathematics

Page: 488

View: 422

Theory of Linear and Integer Programming Alexander Schrijver Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands This book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. It aims at complementing the more practically oriented books in this field. A special feature is the author's coverage of important recent developments in linear and integer programming. Applications to combinatorial optimization are given, and the author also includes extensive historical surveys and bibliographies. The book is intended for graduate students and researchers in operations research, mathematics and computer science. It will also be of interest to mathematical historians. Contents 1 Introduction and preliminaries; 2 Problems, algorithms, and complexity; 3 Linear algebra and complexity; 4 Theory of lattices and linear diophantine equations; 5 Algorithms for linear diophantine equations; 6 Diophantine approximation and basis reduction; 7 Fundamental concepts and results on polyhedra, linear inequalities, and linear programming; 8 The structure of polyhedra; 9 Polarity, and blocking and anti-blocking polyhedra; 10 Sizes and the theoretical complexity of linear inequalities and linear programming; 11 The simplex method; 12 Primal-dual, elimination, and relaxation methods; 13 Khachiyan's method for linear programming; 14 The ellipsoid method for polyhedra more generally; 15 Further polynomiality results in linear programming; 16 Introduction to integer linear programming; 17 Estimates in integer linear programming; 18 The complexity of integer linear programming; 19 Totally unimodular matrices: fundamental properties and examples; 20 Recognizing total unimodularity; 21 Further theory related to total unimodularity; 22 Integral polyhedra and total dual integrality; 23 Cutting planes; 24 Further methods in integer linear programming; Historical and further notes on integer linear programming; References; Notation index; Author index; Subject index

[70] Arthur Cayley, On a theorem of M. Lejeune-Dirichlet's, Cambridge and Dublin Mathematical Journal 9 (1854), 163–165; The Collected Mathematical Papers of Arthur Cayley, vol. 2, Cambridge University Press, 1889, 47–48.

Author: Warren P. Johnson

Publisher: American Mathematical Soc.

ISBN: 9781470456238

Category: Education

Page: 519

View: 724

Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.

(Also paper 125 in The Collected Mathematical Papers of Arthur Cayley. vol. 2, pp. 123–130. Cambridge 1889. Reprinted 1963, Johnson Reprint Corporation, New York.) 1862 On a question in the theory of probabilities. Ibid. series 4, vol.

Author: T. Hailperin

Publisher: Elsevier

ISBN: 0080880053

Category: Mathematics

Page: 427

View: 429

Since the publication of the first edition in 1976, there has been a notable increase of interest in the development of logic. This is evidenced by the several conferences on the history of logic, by a journal devoted to the subject, and by an accumulation of new results. This increased activity and the new results - the chief one being that Boole's work in probability is best viewed as a probability logic - were influential circumstances conducive to a new edition. Chapter 1, presenting Boole's ideas on a mathematical treatment of logic, from their emergence in his early 1847 work on through to his immediate successors, has been considerably enlarged. Chapter 2 includes additional discussion of the ``uninterpretable'' notion, both semantically and syntactically. Chapter 3 now includes a revival of Boole's abandoned propositional logic and, also, a discussion of his hitherto unnoticed brush with ancient formal logic. Chapter 5 has an improved explanation of why Boole's probability method works. Chapter 6, Applications and Probability Logic, is a new addition. Changes from the first edition have brought about a three-fold increase in the bibliography.

A. Cayley, On the geodesic lines on an ellipsoid. Mem. Roy. Astron. Soc. 39, 31–53 & plate 2 (1872), in The Collected Mathematical Papers of Arthur Cayley, vol. 7 (Cambridge Univ. Press, Cambridge 1894), paper 478, pp. 493–510 13.

Author: Renzo Caddeo

Publisher: Springer Nature

ISBN: 9783031095702

Category: Mathematics

Page: 437

View: 713

This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas.

This scarce antiquarian book is included in our special Legacy Reprint Series.

Author: Arthur Cayley

Publisher: Scholarly Pub Office Univ of

ISBN: 1418170097

Category: Fiction

Page: 624

View: 716

This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.

4. Arthur Cayley , The Collected Mathematical Papers of Arthur Cayley , vol . 1 , 423–424 ; vol . 2 , 123–132 , Cambridge University Press , Cambridge , 1889 . 5. John Conway , On Numbers and Games , London , 1976 , pp . 3-14 . 6.

Author: Ronald Calinger

Publisher: Cambridge University Press

ISBN: 0883850974

Category: Mathematics

Page: 380

View: 142

Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.

Cayley, A. (1883/1896), Presidential Address to the British Association, The Collected Mathematical Papers of Arthur Cayley, Vol. II, Cambridge University Press. Clarke, D.J. (1984), Secondary Mathematics Teaching: towards a Critical ...

Author: David Wells

Publisher: World Scientific Publishing Company

ISBN: 9781783267552

Category: Mathematics

Page: 312

View: 604

Motivating Mathematics demonstrates that pupils can be motivated by being given the Big Picture, including a clearer picture of the nature of maths, and by linking topics to the sciences, rather than teaching each topic in isolation. The author emphasises the many virtues of problem-solving, strongly emphasised in secondary education specifications, especially the role of perception, and the ability of pupils to create their own proofs and to appreciate 'cool' ideas and arguments. David Wells draws on his extensive experience of teaching primary and secondary pupils and his understanding not just of how students think about mathematics, but of how they feel about a subject which so often seems merely a collection of facts and rules to be mastered. This book will be of immediate practical use to teachers and students at all levels. Anyone involved in mathematics education will benefit from reading this inspiring book, whether classroom teacher, trainer, teacher in training or professional development, or even parent. The book will also be of interest to policy makers and others with an investment in the future of mathematics education.

A The EpiscorAL REGISTERS OF THE DIOCESE Complete Atlas for all Purposes , Illustrating OF EXETER . Issued with the Sanction of the ... MARY , THE COLLECTED MATHEMATICAL PAPERS OF WHAPLODE . By W. E. Foster . Arthur Cayley . Vol . II .

JAMES LYLE , 2 NICOLSON STREET , SOLE AGENT FOR EDINBURGH . od to sare an in the ubich is es hortcable mueber on this point excelen ... The Collected Mathematical Papers of Arthur Cayley . Vol . II . Cambridge : University Press . 255 .

In: Collected Mathematical Papers of Arthur Cayley, vol. 3, pp. 242–246. Cambridge University Press ... Adv. Math. 150(2), 264–275 (2000) Chatterji, I., Niblo, G.: From wall spaces to CAT(0) cube complexes. Int. J. Algebra Comput.

Author: Daniel Parrochia

Publisher: Springer Science & Business Media

ISBN: 9783034806091

Category: Mathematics

Page: 304

View: 314

This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the “state of art” of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field.