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The key focus of this text is on speaking and students are encouraged to draw on their own experience to develop this skill. It follows a strong grammar syllabus that is presented through a mix of activities and exercises, using both traditional and personalization techniques. ... Read more

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This book is based on a set of lectures presented by the author at the NSF-CBMS Regional Conference, Applications of Operator Algebras to Knot Theory and Mathematical Physics, held at the U.S. Naval Academy in Annapolis in June 1988. The audience consisted of low-dimensional topologists and operator algebraists, so the speaker attempted to make the material comprehensible to both groups. He provides an extensive introduction to the theory of von Neumann algebras and to knot theory and braid groups. The presentation follows the historical development of the theory of subfactors and the ensuing applications to knot theory, including full proofs of some of the major results. The author treats in detail the Homfly and Kauffman polynomials, introduces statistical mechanical methods on knot diagrams, and attempts an analogy with conformal field theory. Written by one of the foremost mathematicians of the day, this book will give readers an appreciation of the unexpected interconnections between different parts of mathematics and physics. ... Read more

Customer Reviews (1)

introduction to knot theory
This book asserts three subjects:

-subfactor theory: It gives the possible values of the index, nevertheless it is too sketchy and one solely interested in this subject should read his inventiones papers.

-knottheory: this is the best part of the books which explain withoutprerequisites and with great clarity the way to compute knotinvariants.

-a pot pourri about 'knot and statistical mechanics'generalization. This part is the worst since the book is now quite old andthe idea are not clear.

This book as the virtues of lectures (clarity,geometric ideas) and it's defaults (few computations, lack of rigor) ... Read more

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This Workbook Provides Additional Grammar Exercises And Further Vocabulary Practice. It Also Contains A Complete Writing Syllabus Linked To The Language And Situations In The Student's Book. ... Read more

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The resource pack contains a broad range of ideas and activities with accompanying teaching notes. The worksheets are designed to match the language focus of each lesson. ... Read more

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The Class CDs Feature A Wealth Of Listening Texts With Variety Of Native And Non-Native Speakers Providing The Learner With Extensive Exposure To Natural Spoken English. ... Read more

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With Magical Mozart<-i>, beginners can experience the style and quality of the music of this master composer. From his extensive list of works some famous melodies have been selected, including from his symphonies and operas. The piano accompaniments h

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Proceedings of the International Conference on Knot Theory and Its Ramifications held at the European Cultural Center of Delphi, August 7-15, 2000. The conference provided a forum for exchange between experts on the many different aspects of knot theory. ... Read more