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Course in Topological Combinatorics, Paperback by De Longueville, Mark, Brand...
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Znajduje się w: Jessup, Maryland, Stany Zjednoczone
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Parametry przedmiotu
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- Book Title
- Course in Topological Combinatorics
- ISBN
- 9781489988263
O tym produkcie
Product Identifiers
Publisher
Springer New York
ISBN-10
1489988262
ISBN-13
9781489988263
eBay Product ID (ePID)
205519421
Product Key Features
Number of Pages
Xii, 240 Pages
Publication Name
Course in Topological Combinatorics
Language
English
Publication Year
2014
Subject
Geometry / Analytic, Game Theory, Topology, Discrete Mathematics
Type
Textbook
Subject Area
Mathematics
Series
Universitext Ser.
Format
Trade Paperback
Dimensions
Item Weight
136.5 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Reviews
"This book is an excellent introduction into the subject. ... The book contains a lot of figures and each chapter ends with a group of exercises which help the reader in understanding the hard constructions and proofs. The book may serve for a one- or two-semester undergraduate course depending on the preliminary knowledges of the students." (János Kincses, Acta Scientiarum Mathematicarum, Vol. 81 (3-4), 2015) "The present book ... presents a sequence of combinatorial themes which have shown an affinity for topological methods ... . This book is filled with extremely attractive mathematics ... and bringing topology into the play of combinatorics and graph theory is a wonderfully elegant manoeuvre. Here it is carried out coherently, and on a pretty grand scale, and we are thus afforded the opportunity to encounter (algebraic) topology in a very seductive uniform context. What a marvelous thing!" (Michael Berg, MAA Reviews, July, 2013) "In the book's four main chapters, Longueville (Univ. of Applied Sciences, Germany) addresses fair-division problems; graph coloring; graph property evasiveness; and embeddings and mappings. ... Basic results of algebraic topology already have powerful consequences for analysis, but the subject's arcana can look like art for art's sake. The author's charting of a novel application domain for a core subject makes this book an essential acquisition. Summing Up: Essential. Upper-division undergraduates and above." (D. V. Feldman, Choice, Vol. 50 (8), April, 2013) "Topological combinatorics is concerned with the applications of the many powerful techniques of algebraic topology to problems in combinatorics. ... The present book aims to give a clear and vivid presentation of some of the most beautiful and accessible results from the area. The text, based upon some courses by the author at Freie Universität Berlin, is designed for an advanced undergraduate student." (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013), "This book is an excellent introduction into the subject. ... The book contains a lot of figures and each chapter ends with a group of exercises which help the reader in understanding the hard constructions and proofs. The book may serve for a one- or two-semester undergraduate course depending on the preliminary knowledges of the students." (Jnos Kincses, Acta Scientiarum Mathematicarum, Vol. 81 (3-4), 2015) "The present book ... presents a sequence of combinatorial themes which have shown an affinity for topological methods ... . This book is filled with extremely attractive mathematics ... and bringing topology into the play of combinatorics and graph theory is a wonderfully elegant manoeuvre. Here it is carried out coherently, and on a pretty grand scale, and we are thus afforded the opportunity to encounter (algebraic) topology in a very seductive uniform context. What a marvelous thing!" (Michael Berg, MAA Reviews, July, 2013) "In the book's four main chapters, Longueville (Univ. of Applied Sciences, Germany) addresses fair-division problems; graph coloring; graph property evasiveness; and embeddings and mappings. ... Basic results of algebraic topology already have powerful consequences for analysis, but the subject's arcana can look like art for art's sake. The author's charting of a novel application domain for a core subject makes this book an essential acquisition. Summing Up: Essential. Upper-division undergraduates and above." (D. V. Feldman, Choice, Vol. 50 (8), April, 2013) "Topological combinatorics is concerned with the applications of the many powerful techniques of algebraic topology to problems in combinatorics. ... The present book aims to give a clear and vivid presentation of some of the most beautiful and accessible results from the area. The text, based upon some courses by the author at Freie Universitt Berlin, is designed for an advanced undergraduate student." (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013), From the reviews: "The present book ... presents a sequence of combinatorial themes which have shown an affinity for topological methods ... . This book is filled with extremely attractive mathematics ... and bringing topology into the play of combinatorics and graph theory is a wonderfully elegant manoeuvre. Here it is carried out coherently, and on a pretty grand scale, and we are thus afforded the opportunity to encounter (algebraic) topology in a very seductive uniform context. What a marvelous thing!" (Michael Berg, MAA Reviews, July, 2013) "In the book's four main chapters, Longueville (Univ. of Applied Sciences, Germany) addresses fair-division problems; graph coloring; graph property evasiveness; and embeddings and mappings. ... Basic results of algebraic topology already have powerful consequences for analysis, but the subject's arcana can look like art for art's sake. The author's charting of a novel application domain for a core subject makes this book an essential acquisition. Summing Up: Essential. Upper-division undergraduates and above." (D. V. Feldman, Choice, Vol. 50 (8), April, 2013) "Topological combinatorics is concerned with the applications of the many powerful techniques of algebraic topology to problems in combinatorics. ... The present book aims to give a clear and vivid presentation of some of the most beautiful and accessible results from the area. The text, based upon some courses by the author at Freie Universität Berlin, is designed for an advanced undergraduate student." (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013)
TitleLeading
A
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
Preface.- List of Symbols and Typical Notation.- 1 Fair-Division Problems.- 2 Graph-Coloring Problems.- 3 Evasiveness of Graph Properties.- 4 Embedding and Mapping Problems.- A Basic Concepts from Graph Theory.- B Crash Course in Topology.- C Partially Ordered Sets, Order Complexes, and Their Topology.- D Groups and Group Actions.- E Some Results and Applications from Smith Theory.- References.- Index.
Synopsis
A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant and the connection between combinatorics and topology often arises as an unexpected surprise. The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. The text contains a large number of figures that support the understanding of concepts and proofs. In many cases several alternative proofs for the same result are given, and each chapter ends with a series of exercises. The extensive appendix makes the book completely self-contained. The textbook is well suited for advanced undergraduate or beginning graduate mathematics students. Previous knowledge in topology or graph theory is helpful but not necessary. The text may be used as a basis for a one- or two-semester course as well as a supplementary text for a topology or combinatorics class., This undergraduate textbook in topological combinatorics covers such topics as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. Includes many figures and exercises.
LC Classification Number
QA297.4
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Opinie sprzedawcy (411 973)
- u***n (25)- Opinie wystawione przez kupującego.Ostatni miesiącZakup potwierdzonyThis unique book was priced quite reasonable. The book was advertised as new and arrived in mint condition and in the highest authentic hard cover quality. It Packaging was very good when mailed. I also find communicating with the seller during the shipping process, which was a bit of a wait for a very hard to find book, was very prompt and inspired trust. I highly recommend this seller and will return for future purchases.
- e***r (2740)- Opinie wystawione przez kupującego.Ostatnie 6 miesięcyZakup potwierdzonyAAA+++; Excellent Service; Great Pricing; Fast Delivery-Faster Than Expected to Chicago using free shipping USPS Media Mail, Received 06/18; book in Great Condition as Described ; TLC Packaging; Excellent Seller Communication, Sends updates . Highly Recommended!, Thank you very much!
- f***f (1671)- Opinie wystawione przez kupującego.Ostatni miesiącZakup potwierdzonyExcellent Seller, Goes the Extra Mile. The Seller Was Incredibly Communicative. Smooth Transaction, Shipped Very Quickly, As Advertised; Good Price; Well Packaged & Delivered Within a Few Days. Item in Described Promised Condition, Thank You Very Much!!!!!!!!!!! A+