Differential Algebra, Complex Analysis and Orthogonal Polynomials

Differential Algebra, Complex Analysis and Orthogonal Polynomials

Author: Primitivo B. Acosta Humanez

Publisher: American Mathematical Soc.

Published: 2010

Total Pages: 241

ISBN-13: 0821848860

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Presents the 2007-2008 Jairo Charris Seminar in Algebra and Analysis on Differential Algebra, Complex Analysis and Orthogonal Polynomials, which was held at the Universidad Sergio Arboleda in Bogota, Colombia.


The Future of the Teaching and Learning of Algebra

The Future of the Teaching and Learning of Algebra

Author: Kaye Stacey

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 382

ISBN-13: 1402081316

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Kaye Stacey‚ Helen Chick‚ and Margaret Kendal The University of Melbourne‚ Australia Abstract: This section reports on the organisation‚ procedures‚ and publications of the ICMI Study‚ The Future of the Teaching and Learning of Algebra. Key words: Study Conference‚ organisation‚ procedures‚ publications The International Commission on Mathematical Instruction (ICMI) has‚ since the 1980s‚ conducted a series of studies into topics of particular significance to the theory and practice of contemporary mathematics education. Each ICMI Study involves an international seminar‚ the “Study Conference”‚ and culminates in a published volume intended to promote and assist discussion and action at the international‚ national‚ regional‚ and institutional levels. The ICMI Study running from 2000 to 2004 was on The Future of the Teaching and Learning of Algebra‚ and its Study Conference was held at The University of Melbourne‚ Australia fromDecember to 2001. It was the first study held in the Southern Hemisphere. There are several reasons why the future of the teaching and learning of algebra was a timely focus at the beginning of the twenty first century. The strong research base developed over recent decades enabled us to take stock of what has been achieved and also to look forward to what should be done and what might be achieved in the future. In addition‚ trends evident over recent years have intensified. Those particularly affecting school mathematics are the “massification” of education—continuing in some countries whilst beginning in others—and the advance of technology.


Fundamental Algebraic Geometry

Fundamental Algebraic Geometry

Author: Barbara Fantechi

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 354

ISBN-13: 0821842455

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Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. It is suitable for those working in algebraic geometry.


Rational Curves on Algebraic Varieties

Rational Curves on Algebraic Varieties

Author: Janos Kollar

Publisher: Springer Science & Business Media

Published: 2013-04-09

Total Pages: 330

ISBN-13: 3662032767

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The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, on varieties. The main applications are in the study of Fano varieties and of related varieties with lots of rational curves on them. This Ergebnisse volume provides the first systematic introduction to this field of study. The book contains a large number of examples and exercises which serve to illustrate the range of the methods and also lead to many open questions of current research.