Книга: Sue Kay, Vaughan Jones, Helena Gomm, Peter Maggs, Chris Dawson «New Inside Out: Upper Intermediate: Teacher's Book (+ CD)»

New Inside Out: Upper Intermediate: Teacher's Book (+ CD)

New Inside Out builds on the recognised strengths of the internationally successful Inside Out. It combines a renewed commitment to meaningful presentation, meaningful practice and meaningful communication with: New improved design; New engaging content; New grammar and vocabulary support; New focus on functional language; New interactive tasks.

Издательство: "Macmillan Education" (2009)

Формат: 220x275, 240 стр.

ISBN: 978-0-230-02101-3

Купить за 1229.7 руб на Озоне

Vaughan Jones

Infobox Scientist
box_width =
name = Vaughan Frederick Randal Jones



image_size =
caption = Vaughan Jones in 2007
birth_date = Birth date and age|1952|12|31
birth_place = Gisborne, New Zealand
death_date =
death_place =
residence =
citizenship =
nationality =
ethnicity =
fields = Mathematics
workplaces = University of California, Berkeley
alma_mater = University of Geneva
University of Auckland
doctoral_advisor = André Haefliger
academic_advisors =
doctoral_students =
notable_students =
known_for = Von Neumann algebras, knot polynomials,
conformal field theory
author_abbrev_bot =
author_abbrev_zoo =
influences =
influenced =
awards = Fields Medal (1990)
religion =


footnotes =

Vaughan Frederick Randal Jones DCNZM (born 31 December 1952) is a New Zealand mathematician, known for his work on von Neumann algebras, knot polynomials and conformal field theory. He was awarded a Fields Medal in 1990, and famously wore a New Zealand rugby jersey when he accepted the prize. Jones is a professor at the University of California, Berkeley and a Distinguished Alumni Professor at the University of Auckland.

Jones was born in Gisborne, New Zealand and brought up in Cambridge, New Zealand, completing secondary school at Auckland Grammar School. His undergraduate studies were at the University of Auckland, from where he obtained a B.Sc. in 1972 and an M.Sc. in 1973. For his graduate studies, he went to Switzerland, where he completed his Ph.D. at the University of Geneva in 1979. His thesis, titled "Actions of finite groups on the hyperfinite II1 factor", was written under the supervision of André Haefliger. In 1980, he moved to the United States, where he taught at the University of California, Los Angeles (1980-1981) and the University of Pennsylvania (1981-1985), before being appointed as Professor of Mathematics at the University of California, Berkeley.

His work on knot polynomials, with the discovery of what is now called the Jones polynomial, was from an unexpected direction with origins in the theory of von Neumann algebras, an area of analysis already much developed by Alain Connes. It led to the solution of a number of the classical problems of knot theory, and to increased interest in low-dimensional topology.

He was awarded Distinguished Companionship of the New Zealand Order of Merit in 2002 (an equivalent of a Knighthood under the old honours system).

ee also

*Subfactor

External links

*MacTutor Biography|id=Jones_Vaughan
*MathGenealogy |id=25056
* [http://math.berkeley.edu/~vfr/ Jones' home page]
* [http://www.math.auckland.ac.nz/Careers/vaughan/vaughan.htm Career profile page at the University of Auckland]

Persondata
NAME= Jones, Vaughan Frederick Randal
ALTERNATIVE NAMES=
SHORT DESCRIPTION=New Zealand mathematician and Fields Medalist
DATE OF BIRTH= December 31, 1952
PLACE OF BIRTH= Gisborne, New Zealand
DATE OF DEATH=
PLACE OF DEATH=

Источник: Vaughan Jones

Chris Dawson

Chris Dawson
Personal information
Full name Chris Dawson
Date of birth August 22, 1979 (1979-08-22) (age 32)
Place of birth Coventry, England, Great Britain
Playing position Midfielder
Club information
Current club Bromsgrove Rovers FC
Senior career*
Years Team Apps (Gls)
2002 Kuala Lumpur FA
2002-2003 Leigh RMI
2003-2005 Bromsgrove Rovers FC
National team
2002-2003 Seychelles
* Senior club appearances and goals counted for the domestic league only and correct as of 11 May 2010.

† Appearances (Goals).

‡ National team caps and goals correct as of 11 May 2010

Chris Dawson (born August 22, 1979 in Coventry, England) is a former English-born Seychelles football (soccer) player of English descent.

A prominent midfielder, Chris Dawson was once played for Kuala Lumpur in Malaysia.

External links


Источник: Chris Dawson

Другие книги схожей тематики:

АвторКнигаОписаниеГодЦенаТип книги
Sue Kay, Vaughan Jones, Helena Gomm, Peter Maggs, Chris DawsonNew Inside Out: Upper Intermediate: Teacher's Book (+ CD)New Inside Out builds on the recognised strengths of the internationally successful Inside Out. It combines a renewed commitment to meaningful presentation, meaningful practice and meaningful… — Macmillan Education, (формат: 220x275, 240 стр.) Подробнее...2009
1229.7бумажная книга
Kay SueNew Inside Out Upper Intermediate Teacher's BookNew Inside Out takes all the best elements of the original Inside Out series - including the emphasis on personalisation and meaning - and adds a host of brand-new features. Sue and Vaughan have gone… — Macmillan Publishers, - Подробнее...2009
4307бумажная книга
Kay SueNew Inside Out Upper Intermediate Teacher's Book + Test + eBookNew Inside Out takes all the best aspects of the original series, including the emphasis on personalisation and meaning, and adds a host of brand-new features. Sue Kay and Vaughan Jones have gone… — Macmillan Publishers, New Inside Out Подробнее...2016
4307бумажная книга
Philip Kerr, Ceri Jones, Sue Kay, Vaughan JonesNew Inside Out: Upper-Intermediate Workbook with Key (+ CD-ROM)New Inside Out takes all the best elements of the original Inside Out series - including the emphasis on personalisation and meaning - and adds a host of brand- new features. Sue and Vaughan have… — Macmillan Education, (формат: 210x295, 96 стр.) Подробнее...2009
1239бумажная книга
Philip Kerr, Ceri Jones, Sue Kay, Vaughan JonesNew Inside Out: Upper-Intermediate Workbook with Key (+ CD-ROM)New Inside Out takes all the best elements of the original Inside Out series - including the emphasis on personalisation and meaning - and adds a host of brand- new features. Sue and Vaughan have… — Macmillan Publishers, (формат: 210x295, 96 стр.) Подробнее...2013
1775бумажная книга

См. также в других словарях:

  • United States — a republic in the N Western Hemisphere comprising 48 conterminous states, the District of Columbia, and Alaska in North America, and Hawaii in the N Pacific. 267,954,767; conterminous United States, 3,022,387 sq. mi. (7,827,982 sq. km); with… …   Universalium

  • Europe, history of — Introduction       history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …   Universalium

  • Christianity — /kris chee an i tee/, n., pl. Christianities. 1. the Christian religion, including the Catholic, Protestant, and Eastern Orthodox churches. 2. Christian beliefs or practices; Christian quality or character: Christianity mixed with pagan elements; …   Universalium

  • UNITED STATES OF AMERICA — UNITED STATES OF AMERICA, country in N. America. This article is arranged according to the following outline: introduction Colonial Era, 1654–1776 Early National Period, 1776–1820 German Jewish Period, 1820–1880 East European Jewish Period,… …   Encyclopedia of Judaism

  • MUSIC — This article is arranged according to the following outline: introduction written sources of direct and circumstantial evidence the material relics and iconography notated sources oral tradition archives and important collections of jewish music… …   Encyclopedia of Judaism

  • KABBALAH — This entry is arranged according to the following outline: introduction general notes terms used for kabbalah the historical development of the kabbalah the early beginnings of mysticism and esotericism apocalyptic esotericism and merkabah… …   Encyclopedia of Judaism

Поделиться ссылкой на выделенное

Прямая ссылка:
Нажмите правой клавишей мыши и выберите «Копировать ссылку»