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Author: Jiří Matoušek
Publisher: American Mathematical Soc.
ISBN: 0821849778
Category : Mathematics
Languages : en
Pages : 196
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Book Description
This volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53)
Author: Jiří Matoušek
Publisher: American Mathematical Soc.
ISBN: 0821849778
Category : Mathematics
Languages : en
Pages : 196
Get Book Here
Book Description
This volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53)
Author: D. B. Fuks
Publisher: American Mathematical Soc.
ISBN: 0821843168
Category : Mathematics
Languages : en
Pages : 482
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Book Description
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
Author: Helen J. Swift
Publisher: Oxford University Press
ISBN: 0199232237
Category : Art
Languages : en
Pages : 302
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Book Description
This book explores the poetics of literary defences of women written by men in late-medieval and early-modern France. It fills an important lacuna in studies of this polemic in imaginative literature by bridging the gap between Christine de Pizan and a later generation of women writers and male, Neo-Platonist writers who have recently all received due critical attention. Whereas male-authored defences composed between 1440 and 1538 have previously been dismissed as 'insincere' or'mere intellectual games', Swift formulates reading strategies to overcome such critical stumbling blocks and engage with the particular rhetorical and historical contexts of these works. Edited and as yet unedited texts by Martin Le Franc, Jacques Milet, Pierre Michault, and Jean Bouchet-catalogues ofwomen, allegorical narratives, and debate poems-are brought together and analysed in detail for the first time in order to explore, for example, how such works address the misogynistic spectre of Jean de Meun's Roman de la rose.The book seeks to understand the contemporary popularity of the case for women (la querelle des femmes) as literary subject matter. It investigates the publication history across this period, from manuscript to print, of Le Franc's Le Champion des dames. Swift further aims to show how these texts hold interest for modern audiences. A nexus of theoretical concerns centred on performance - Judith Butler's gender performativity, Derrida's re-working of Austin's linguisticperformativity through spectrality, and dramatic performance - is enlisted to articulate the interpretative engagement expected by querelle writers of their audience. The reading strategies proposed foster a nuanced and enriched perspective on the question of a male author's 'sincerity' when writing in defence of women.
Author: Christopher de Hamel
Publisher: Penguin
ISBN: 0143110802
Category : History
Languages : en
Pages : 642
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Book Description
An extraordinary and beautifully illustrated exploration of the medieval world through twelve manuscripts, from one of the world's leading experts. Winner of The Wolfson History Prize and The Duff Cooper Prize. A San Francisco Chronicle Holiday Book Gift Guide Pick! Meetings with Remarkable Manuscripts is a captivating examination of twelve illuminated manuscripts from the medieval period. Noted authority Christopher de Hamel invites the reader into intimate conversations with these texts to explore what they tell us about nearly a thousand years of medieval history - and about the modern world, too. In so doing, de Hamel introduces us to kings, queens, saints, scribes, artists, librarians, thieves, dealers, and collectors. He traces the elaborate journeys that these exceptionally precious artifacts have made through time and shows us how they have been copied, how they have been embroiled in politics, how they have been regarded as objects of supreme beauty and as symbols of national identity, and who has owned them or lusted after them (and how we can tell). From the earliest book in medieval England to the incomparable Book of Kells to the oldest manuscript of the Canterbury Tales, these encounters tell a narrative of intellectual culture and art over the course of a millennium. Two of the manuscripts visited are now in libraries of North America, the Morgan Library in New York and the Getty Museum in Los Angeles. Part travel book, part detective story, part conversation with the reader, Meetings with Remarkable Manuscripts allows us to experience some of the greatest works of art in our culture to give us a different perspective on history and on how we come by knowledge.
Author:
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 428
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Book Description
Author: Gülru Necipoğlu
Publisher: BRILL
ISBN: 9004139648
Category : Social Science
Languages : en
Pages : 395
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Book Description
Author: Derek Pearsall
Publisher: Boydell & Brewer
ISBN: 1843846136
Category : Literary Collections
Languages : en
Pages : 415
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Book Description
Winner of the 2022 John Hurt Fisher Award from the John Gower SocietyFirst comprehensive catalogue of the manuscripts of one of the most important medieval works, with full descriptions of their features.The Confessio Amantis is John Gower's major work in English, written around the time that his acquaintance Geoffrey Chaucer was writing the Canterbury Tales. Extant manuscripts are numerous. At the end of the nineteenth century G. C. Macaulay had described the forty manuscripts then known to survive in the introduction to his edition, but some of these descriptions were very brief, and of course the other nine of whose existence he was then unaware were not included. This descriptive catalogue of all of the surviving manuscripts containing the Confessio is the first work to bring together extensive detailed descriptions of its forty-nine complete manuscripts and numerous fragments and excerpts; it will enable scholars of Middle English literature and manuscript studies to compare features across the corpus of surviving manuscripts or read detailed descriptions of individual manuscripts. Each description in this catalogue covers the manuscript's contents, artwork, physical qualities such as size, material, collation, foliation, etc., as well as additions by later users and provenance. There is also a lengthy introduction giving an overview of the corpus, and appendices for reference to the current whereabouts of the manuscripts, fragments and excerpts, and listing Gower's Latin and French works that appear in some of the manuscripts. Eight colour illustrations provide context for discussions of the miniatures and illuminated borders of some manuscripts. surviving manuscripts or read detailed descriptions of individual manuscripts. Each description in this catalogue covers the manuscript's contents, artwork, physical qualities such as size, material, collation, foliation, etc., as well as additions by later users and provenance. There is also a lengthy introduction giving an overview of the corpus, and appendices for reference to the current whereabouts of the manuscripts, fragments and excerpts, and listing Gower's Latin and French works that appear in some of the manuscripts. Eight colour illustrations provide context for discussions of the miniatures and illuminated borders of some manuscripts. surviving manuscripts or read detailed descriptions of individual manuscripts. Each description in this catalogue covers the manuscript's contents, artwork, physical qualities such as size, material, collation, foliation, etc., as well as additions by later users and provenance. There is also a lengthy introduction giving an overview of the corpus, and appendices for reference to the current whereabouts of the manuscripts, fragments and excerpts, and listing Gower's Latin and French works that appear in some of the manuscripts. Eight colour illustrations provide context for discussions of the miniatures and illuminated borders of some manuscripts. surviving manuscripts or read detailed descriptions of individual manuscripts. Each description in this catalogue covers the manuscript's contents, artwork, physical qualities such as size, material, collation, foliation, etc., as well as additions by later users and provenance. There is also a lengthy introduction giving an overview of the corpus, and appendices for reference to the current whereabouts of the manuscripts, fragments and excerpts, and listing Gower's Latin and French works that appear in some of the manuscripts. Eight colour illustrations provide context for discussions of the miniatures and illuminated borders of some manuscripts. for reference to the current whereabouts of the manuscripts, fragments and excerpts, and listing Gower's Latin and French works that appear in some of the manuscripts. Eight colour illustrations provide context for discussions of the miniatures and illuminated borders of some manuscripts.
Author: Ian Anderson
Publisher: Courier Corporation
ISBN: 9780486422572
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Among other subjects explored are the Clements-Lindström extension of the Kruskal-Katona theorem to multisets and the Greene-Kleitmen result concerning k-saturated chain partitions of general partially ordered sets. Includes exercises and solutions.
Author: Ida Kantor
Publisher: American Mathematical Soc.
ISBN: 1470422611
Category : Mathematics
Languages : en
Pages : 359
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Book Description
Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications--some quite surprising--in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields.
Author:
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 828
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Book Description
