Alicia Dickenstein's Books

Matemax: English + Spanish Edition

By: ALICIA. SABIA DICKENSTEIN (JUAN.),Juan Vincente Rafael Sabia,Oscar Ricardo Botto

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Matemax: English + Spanish Edition

By: ALICIA. SABIA DICKENSTEIN (JUAN.),Juan Vincente Rafael Sabia,Oscar Ricardo Botto

MATEMAX is a bilingual schoolbook of mathematical problems written with the premise that one of the fundamental ways of learning mathematics, in addition to being one of the goals of the subject, is to solve problems. The book is designed for children and young teens and aims to teach mathematics in an entertaining way. Problems are based on familiar everyday situations, and helpful hints guide students to develop strategies before diving into calculations, leading to practice in abstract thinking, an essential feature of mathematics. Presented in both English and Spanish it also provides equal access to students, parents and teachers with facility in either or both languages. An online supplement is available upon request at textbooks@ams.org. This companion book provides complete solutions, alternative methods and additional suggestions to complement the short answers contained in the book. In addition, while problems are arranged in the book as they appear naturally in life, the companion text connects the mathematical tools with standard curricula. Here is a sampling of those pages. MATEMAX es un libro escolar bilingüe de problemas matemáticos escrito bajo la premisa de que una de las formas fundamentales de aprender matemática, además de ser uno de los objetivos de la asignatura, es resolver problemas. El libro está diseñado para niños y adolescentes y tiene como objetivo enseñar matemática de una manera entretenida. Los problemas se basan en situaciones cotidianas familiares, y sugerencias útiles guían a los estudiantes para desarrollar estrategias antes de sumergirse en los cálculos, lo que lleva a la práctica del pensamiento abstracto, una característica esencial de la matemática. Presentado tanto en inglés como en español, también proporciona un acceso igual a estudiantes, padres y maestros con facilidad en uno o ambos idiomas. Un suplemento en línea está disponible a pedido en textbooks@ams.org. Este libro acompañante proporciona soluciones completas, métodos alternativos y sugerencias adicionales para complementar las respuestas cortas contenidas en el libro. Además, mientras que los problemas están ubicados en el libro como aparecen naturalmente en la vida, el texto complementario conecta las herramientas matemáticas con los planes de estudio estándar. Aquí hay una muestra de esas páginas.

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Page Count

189

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470455005

ISBN 13

9781470455002

Solving Polynomial Equations

Foundations, Algorithms, and Applications

By: Alicia Dickenstein

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Solving Polynomial Equations

Foundations, Algorithms, and Applications

By: Alicia Dickenstein

This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants, residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications.

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Page Count

433

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540243267

ISBN 13

9783540243267

Algorithms in Algebraic Geometry

By: Alicia Dickenstein,Frank-Olaf Schreyer,Andrew J. Sommese

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Algorithms in Algebraic Geometry

By: Alicia Dickenstein,Frank-Olaf Schreyer,Andrew J. Sommese

In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. The workshop on Algorithms in Algebraic Geometry that was held in the framework of the IMA Annual Program Year in Applications of Algebraic Geometry by the Institute for Mathematics and Its Applications on September 2006 is one tangible indication of the interest. This volume of articles captures some of the spirit of the IMA workshop.

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Page Count

162

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387751556

ISBN 13

9780387751559

Applications of Polynomial Systems

By: David A. Cox

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Applications of Polynomial Systems

By: David A. Cox

Systems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the twenty-first century and then discusses the interaction between algebraic geometry and numerical computations, a subject now called numerical algebraic geometry. The final three chapters discuss applications to geometric modeling, rigidity theory, and chemical reaction networks in detail. Each chapter ends with a section written by a leading expert. Examples in the book include oil wells, HIV infection, phylogenetic models, four-bar mechanisms, border rank, font design, Stewart-Gough platforms, rigidity of edge graphs, Gaussian graphical models, geometric constraint systems, and enzymatic cascades. The reader will encounter geometric objects such as Bézier patches, Cayley-Menger varieties, and toric varieties; and algebraic objects such as resultants, Rees algebras, approximation complexes, matroids, and toric ideals. Two important subthemes that appear in multiple chapters are toric varieties and algebraic statistics. The book also discusses the history of elimination theory, including its near elimination in the middle of the twentieth century. The main goal is to inspire the reader to learn about the topics covered in the book. With this in mind, the book has an extensive bibliography containing over 350 books and papers.

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Page Count

264

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470451379

ISBN 13

9781470451370

Residues and Duality for Projective Algebraic Varieties

By: Ernst Kunz

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Residues and Duality for Projective Algebraic Varieties

By: Ernst Kunz

The book is intended as an introduction to more advanced treatments and further applications of the subject, to which numerous bibliographical hints are given."--BOOK JACKET.

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Page Count

180

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821883038

ISBN 13

9780821883037

Book's by Alicia Dickenstein

Matemax: English + Spanish Edition

Matemax: English + Spanish Edition

Solving Polynomial Equations

Solving Polynomial Equations

Algorithms in Algebraic Geometry

Algorithms in Algebraic Geometry

Applications of Polynomial Systems

Applications of Polynomial Systems

Residues and Duality for Projective Algebraic Varieties

Residues and Duality for Projective Algebraic Varieties

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