Ordered Sets: Advances in Mathematics, cartea 7
Autor Egbert Harzheimen Limba Engleză Hardback – 17 feb 2005
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 716.79 lei 6-8 săpt. | |
Springer Us – 6 dec 2010 | 716.79 lei 6-8 săpt. | |
Hardback (1) | 989.55 lei 6-8 săpt. | |
Springer Us – 17 feb 2005 | 989.55 lei 6-8 săpt. |
Preț: 989.55 lei
Preț vechi: 1206.78 lei
-18% Nou
Puncte Express: 1484
Preț estimativ în valută:
189.38€ • 196.72$ • 157.31£
189.38€ • 196.72$ • 157.31£
Carte tipărită la comandă
Livrare economică 03-17 februarie 25
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9780387242194
ISBN-10: 0387242198
Pagini: 386
Ilustrații: XII, 386 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.74 kg
Ediția:2005
Editura: Springer Us
Colecția Springer
Seria Advances in Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 0387242198
Pagini: 386
Ilustrații: XII, 386 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.74 kg
Ediția:2005
Editura: Springer Us
Colecția Springer
Seria Advances in Mathematics
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
Fundamental notions of set theory.- Fundamental notions.- General relations between posets and their chains and antichains.- Linearly ordered sets.- Products of orders.- Universally ordered sets.- Applications of the splitting method.- The dimension of posets.- Well-founded posets, pwo-sets and trees.- On the order structure of power sets.- Comparison of order types.- Comparability graphs.
Recenzii
From the reviews:
"The exposition of material in Ordered Sets is generally quite clear. … The list of symbols is useful. … the book contains an unusual mix of topics that reflects both the author’s varied interests and developments in the theory of infinite ordered sets, particularly concerning universal orders, the splitting method, and aspects of well-quasi ordering. It will be of greatest interest to readers who want a selective treatment of such topics." (Dwight Duffus, SIAM Review, Vol. 48 (1), 2006)
"The textbook literature on ordered sets is rather limited. So this book fills a gap. It is intended for mathematics students and for mathematicians who are interests in ordered sets." (Martin Weese, Zentralblatt MATH, Vol. 1072, 2005)
"This book is a comprehensive introduction to the theory of partially ordered sets. It is a fine reference for the practicing mathematician, and an excellent text for a graduate course. Chains, antichains, linearly ordered sets, well-ordered sets, well-founded sets, trees, embedding, cofinality, products, topology, order types, universal sets, dimension, ordered subsets of power sets, comparability graphs, a little partition calculus … it’s pretty much all here, clearly explained and well developed." (Judith Roitman, Mathematical Reviews, Issue 2006 e)
"The exposition of material in Ordered Sets is generally quite clear. … The list of symbols is useful. … the book contains an unusual mix of topics that reflects both the author’s varied interests and developments in the theory of infinite ordered sets, particularly concerning universal orders, the splitting method, and aspects of well-quasi ordering. It will be of greatest interest to readers who want a selective treatment of such topics." (Dwight Duffus, SIAM Review, Vol. 48 (1), 2006)
"The textbook literature on ordered sets is rather limited. So this book fills a gap. It is intended for mathematics students and for mathematicians who are interests in ordered sets." (Martin Weese, Zentralblatt MATH, Vol. 1072, 2005)
"This book is a comprehensive introduction to the theory of partially ordered sets. It is a fine reference for the practicing mathematician, and an excellent text for a graduate course. Chains, antichains, linearly ordered sets, well-ordered sets, well-founded sets, trees, embedding, cofinality, products, topology, order types, universal sets, dimension, ordered subsets of power sets, comparability graphs, a little partition calculus … it’s pretty much all here, clearly explained and well developed." (Judith Roitman, Mathematical Reviews, Issue 2006 e)
Textul de pe ultima copertă
The textbook literature on ordered sets is still rather limited. A lot of material is presented in this book that appears now for the first time in a textbook.
Order theory works with combinatorial and set-theoretical methods, depending on whether the sets under consideration are finite or infinite. In this book the set-theoretical parts prevail. The book treats in detail lexicographic products and their connections with universally ordered sets, and further it gives thorough investigations on the structure of power sets. Other topics dealt with include dimension theory of ordered sets, well-quasi-ordered sets, trees, combinatorial set theory for ordered sets, comparison of order types, and comparibility graphs.
Audience
This book is intended for mathematics students and for mathemeticians who are interested in set theory. Only some fundamental parts of naïve set theory are presupposed. Since all proofs are worked out in great detail, the book should be suitable as a text for a course on order theory.
Audience
This book is intended for mathematics students and for mathemeticians who are interested in set theory. Only some fundamental parts of naïve set theory are presupposed. Since all proofs are worked out in great detail, the book should be suitable as a text for a course on order theory.