From: Subject: Matches for: Date: Tue, 2 Mar 2010 15:28:25 -0500 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01CABA1D.0000F0C0" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.5579 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01CABA1D.0000F0C0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.ams.org/bookstore-getitem/item=stml-24 Matches = for:
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Ramsey Theory on the Integers
Bruce=20 M. Landman, State University of West Georgia, Carrollton, = GA,=20 and Aaron=20 Robertson, Colgate University, Hamilton, NY
Preview=20 Material Supplementary=20 Material        
3Dcover=20=20
SEARCH THIS = BOOK:

Student Mathematical = Library
2003;=20 317 pp; softcover
Volume: 24
ISBN-10: = 0-8218-3199-2
ISBN-13:=20 978-0-8218-3199-1
List Price:=20 US$51
Member Price: US$41
Order=20 Code: STML/24
Suggest=20 to a Colleague

Ramsey theory is the study of the structure = of=20 mathematical objects that is preserved under partitions. In its = full=20 generality, Ramsey theory is quite powerful, but can quickly = become=20 complicated. By limiting the focus of this book to Ramsey theory = applied=20 to the set of integers, the authors have produced a gentle, but=20 meaningful, introduction to an important and enticing branch of = modern=20 mathematics. Ramsey Theory on the Integers offers = students=20 something quite rare for a book at this level: a glimpse into the = world of=20 mathematical research and the opportunity for them to begin = pondering=20 unsolved problems.

In addition to being the first truly accessible book on Ramsey = theory,=20 this innovative book also provides the first cohesive study of = Ramsey=20 theory on the integers. It contains perhaps the most substantial = account=20 of solved and unsolved problems in this blossoming subarea of = Ramsey=20 theory. The result is a breakthrough book that will engage = students,=20 teachers, and researchers alike.

Readership

Advanced undergraduates, graduate students, and research = mathematicians=20 interested in combinatorics.

Reviews

"Students will enjoy it due to the highly accessible exposition = of the=20 material provided by the authors."

-- MAA Horizons

"What a wonderful book! ... contains a very 'student friendly' = approach=20 to one of the richest areas of mathematical research ... a very = good way=20 of introducing the students to mathematical research ... an = extensive=20 bibliography ... no other book on the subject ... which is = structured as a=20 textbook for undergraduates ... The book can be used in a variety = of ways,=20 either as a textbook for a course, or as a source of research = problems ...=20 strongly recommend this book for all researchers in Ramsey theory = ... very=20 good book: interesting, accessible and beautifully written. The = authors=20 really did a great job!"

-- MAA Online

Table = of=20 Contents

  • Preliminaries=20
  • Van der Waerden's theorem=20
  • Supersets of $AP$=20
  • Subsets of $AP$=20
  • Other generalizations of $w(k;r)$=20
  • Arithmetic progressions (mod $m$)=20
  • Other variations on van der Waerden's theorem=20
  • Schur's theorem=20
  • Rado's theorem=20
  • Other topics=20
  • Notation=20
  • Biobliography=20
  • Index
  3D"AMS Comments: webmaster@ams.org
=A9 = Copyright=20 2010, American Mathematical Society=20
Privacy=20 Statement
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verdana, arial, helvetica, sans-serif } TD.booklist { FONT-SIZE: 10pt; BACKGROUND-COLOR: #d2cda9 } P.headers { FONT-WEIGHT: bold; FONT-SIZE: 12pt; COLOR: #002d66; BACKGROUND-COLOR: = transparent } P.redheader { FONT-WEIGHT: bold; FONT-SIZE: 12pt; COLOR: #b90a00; BACKGROUND-COLOR: = transparent } FONT.redtext { FONT-WEIGHT: bold; FONT-SIZE: 12px; COLOR: #b90a00; FONT-FAMILY: = Verdana, Arial, Helvetica, sans-serif; BACKGROUND-COLOR: transparent } FONT.bluetext { FONT-WEIGHT: bold; FONT-SIZE: 12px; COLOR: #004080; FONT-FAMILY: = Verdana, Arial, Helvetica, sans-serif; BACKGROUND-COLOR: white } FONT.listprice { FONT-WEIGHT: bold; FONT-SIZE: 12px; COLOR: black; FONT-FAMILY: Verdana, = Arial, Helvetica, sans-serif; BACKGROUND-COLOR: white } A.boldlinks { FONT-WEIGHT: bold } TD.booknews { FONT-SIZE: 10pt; BACKGROUND-COLOR: #87c6d8 } TD.redline { BACKGROUND-POSITION: 3em 50%; BACKGROUND-COLOR: #990000 } DIV.search { FONT-WEIGHT: bold; FONT-SIZE: 10pt; COLOR: #002d66; BACKGROUND-COLOR: = transparent } .navpdf { FONT-WEIGHT: bold; FONT-SIZE: 14px; MARGIN-RIGHT: 25%; FONT-FAMILY: = Verdana, Arial, Helvetica, sans-serif; BACKGROUND-COLOR: #ffffff; = TEXT-ALIGN: left } .bluenav { FONT-SIZE: x-small; COLOR: #ffffff; FONT-FAMILY: Arial, Helvetica, = sans-serif; BACKGROUND-COLOR: #0080c0 } .TOOLBAR-SEARCH { PADDING-RIGHT: 5px; PADDING-LEFT: 5px; FONT-WEIGHT: bold; FONT-SIZE: = 12px; PADDING-BOTTOM: 2px; COLOR: #000060; PADDING-TOP: 2px; = BORDER-BOTTOM: #ece9d8 thin solid; FONT-FAMILY: Arial, Helvetica, = sans-serif; HEIGHT: 20px; BACKGROUND-COLOR: #e9fee0 } ------=_NextPart_000_0000_01CABA1D.0000F0C0--