A Mathematical Gift, 1: The Interplay Between Topology, Functions, Geometry, and Algebra

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Synopsis This three-volume set addresses the interplay between topology, functions, geometry, and algebra. Buy New Learn more about this copy. Customers who bought this item also bought. Stock Image. Published by American Mathematical Society New Paperback Quantity Available: 1. Seller Rating:. Included are exercises and many figures illustrating the main concepts. It is suitable for advanced high-school students, graduate students, and researchers.

Contents Part I Invitation to topology Viewing figures globally Introduction The Euler characteristic Vortices created by winds and the Euler characteristic Curvature of a surface and the Euler characteristic The story of dimension Introduction Learning to appreciate dimension What is dimension? Three-dimensional figures Physics and dimension Part II The legacy of trigonometric functions Introduction Trigonometric functions and infinite series Elliptic functions Intersection of geometry and algebra Introduction The Poncelet closure theorem The Poncelet theorem for circles The Poncelet theorem in the world of complex numbers Proof of the Poncelet theorem using plane geometry Conclusion Part III The story of the birth of manifolds The prelude to the birth of manifolds The birth of manifolds The story of area and volume from everyday notions to mathematical concepts Transition from the notion of "size" to the concept of "area" Scissors-congruent polygons Scissors-congruent polyhedra Details: Series: Mathematical World, Publication Year: ISBN: Paging: pp.

Algebraic Geometry | Azimuth

Binding: Softcover. Expected publication date is August 21, "The role of minority and women mathematicians in developing our American mathematical community is an important but previously under-told story. Pat Kenschaft, in her highly readable and entertaining style, fills this knowledge gap. This valuable book should be in your personal library! Saari, University of California, Irvine "Kenschaft reveals the passions that motivated past and present mathematicians and the obstacles they overcame to achieve their dreams.

Origem: Wikipédia, a enciclopédia livre.

Through research and in-depth personal interviews, she has explored the sensitive issues of racism and sexism, rejoicing in positive changes and alerting us to issues that still need our attention. There are five chapters about women that provide insight into the nineteenth and the mid-twentieth century, the early s, the early s, and Activists in many fields will take heart at the progress made during that time.

The author documents the rudimentary struggles to become professionals, being married without entirely giving up a career, organizing to eliminate flagrant discrimination, improving the daily treatment of women in the professional community, and the widespread efforts toward true equality. The stories of African Americans in mathematics include the efforts of Benjamin Banneker, an eighteenth century American who had three grandparents born in Africa.

He helped design Washington, DC, and made the computations for almanacs that succeeded Benjamin Franklin's. There are stories about African American mathematicians who were students and faculty in late nineteenth century colleges and accounts of several efforts to integrate the mathematical community in the mid-twentieth century. These stories indicate that though some efforts were more successful than others, all of them were difficult.

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The book concludes with a happier chapter about five black mathematicians in the early twenty-first century. The book also includes five interviews with leading Latin American mathematicians, along with the results of a survey of Latino research mathematicians in the Southwest. The author is a skilled story-teller with good stories to tell.

This book is a page-turner that all mathematicians--as well as others concerned with equality--should read.

It is a work of great interest and an enjoyable read. Contents Introduction With the help of good white men Women and mathematics in the nineteenth century The Twentieth century: Mathematics and marriage African American mathematicians from the eighteenth through the twentieth century Latino mathematicians Reawakening: The Association for Women in Mathematics Skits tell what's happening around Women in mathematics now Minorities in mathematics now Conclusions Appendix to Chapter 5 : What were the careers of 75 African American mathematicians of New Jersey in mid?

Expected publication date is August 31, Description A conference, Coding Theory and Quantum Computing, was held in Charlottesville, VA, to provide an opportunity for computer scientists, mathematicians, and physicists to interact about subjects of common interest. This proceedings volume grew out of that meeting. It is divided into two parts: "Coding Theory" and "Quantum Computing".

In the first part, Harold Ward gives an introduction to coding theory. Other papers survey recent important work, such as coding theory applications of Grobner bases, methods of computing parameters of codes corresponding to algebraic curves, and problems in the theory of designs. The second part of the book covers a wide variety of directions in quantum information with an emphasis on understanding entanglement. The material presented is suitable for graduate students and researchers interested in coding theory and in quantum computing.

Contents Coding theory J.

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Farr and S. Gao -- Grobner bases, Pade approximation, and decoding of linear codes G. Matthews -- Some computational tools for estimating the parameters of algebraic geometry codes H. Ward -- An introduction to algebraic coding theory Q. Feldman and M. Hillery -- Quantum walks on graphs and quantum scattering theory S. Lomonaco, Jr.

Affine one-dimensional geometry and the Triple Quad Formula - Rational Geometry Math Foundations 123

Kauffman -- A continuous variable Shor algorithm S. Viola, H. Barnum, E.

Algebraic Geometry 1

Knill, G. Ortiz, and R. Somma -- Entanglement beyond subsystems A. Yimsiriwattana and S. Expected publication date is September 9, Description This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems.