Golden Years of Moscow Mathematics

Author: Smilka Zdravkovska,Peter L. Duren
Publisher: American Mathematical Soc.
ISBN: 9780821842614
Category: Mathematics
Page: 306
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This volume contains articles on the history of Soviet mathematics, many of which are personal accounts by mathematicians who witnessed and contributed to the turbulent and glorious years of Moscow mathematics. The articles in the book focus on mathematical developments in that era, the personal lives of Russian mathematicians, and political events that shaped the course of scientific work in the Soviet Union. Important contributions include an article about Luzin and his school, based in part on documents that were released only after perestroika, and two articles on Kolmogorov. The volume concludes with annotated bibliographies in English and Russian for further reading. The revised edition is appended by an article of Tikhomirov, which provides an update and general overview of 20th-century Moscow mathematics, and it also includes an Index of Names. This book should appeal to mathematicians, historians, and anyone else interested in Soviet mathematical history.

Developments in Mathematics

Author: V Arnold,M. Monastyrsky
Publisher: CRC Press
ISBN: 9780412452703
Category: Mathematics
Page: 304
View: 575

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A collection of seven survey articles especially commissioned by Professors Arnold and Monastyrsky highlighting areas where the Moscow scholl has amde significant recent contributions to theoretical mathematics. Contributions include papers on Knot theory, supersurfaces and dynamical systems. This book contains articles on aspects of mathematics that have become increasingly important in the west. The editors are internationally renowned for the standard of their work.

Arnold's Problems

Author: Vladimir I. Arnold
Publisher: Springer Science & Business Media
ISBN: 9783540206149
Category: Mathematics
Page: 640
View: 2303

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Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research

Naming Infinity

A True Story of Religious Mysticism and Mathematical Creativity
Author: Loren Graham,Jean-Michel Kantor
Publisher: Harvard University Press
ISBN: 0674032934
Category: History
Page: 239
View: 4640

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Looks at the competition between French and Russian mathematicians over the nature of infinity during the twentieth century.

Developments in School Mathematics Education Around the World

Applications-oriented Curricula and Technology-supported Learning for All Students : Proceedings of the Second UCSMP International Conference on Mathematics Education, April 7-10, 1988 and Additional Invited Reports 1988-1990
Author: Izaak Wirszup
Publisher: National Council of Teachers of
Category: Mathematics
Page: 475
View: 5727

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Math from Three to Seven

The Story of a Mathematical Circle for Preschoolers
Author: Aleksandr Kalmanovich Zvonkin
Publisher: American Mathematical Soc.
ISBN: 082186873X
Category: Mathematics
Page: 300
View: 7047

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This book is a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. What are they capable of? What should they learn first? How hard should they work? Should they even "work" at all? Should we push them, or just let them be? There are no correct answers to these questions, and the author deals with them in classic math-circle style: he doesn't ask and then answer a question, but shows us a problem--be it mathematical or pedagogical--and describes to us what happened. His book is a narrative about what he did, what he tried, what worked, what failed, but most important, what the kids experienced. This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children. Mathematicians, psychologists, educators, parents, and everybody interested in the intellectual development in young children will find this book to be an invaluable, inspiring resource. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Russian Mathematics Education

History and World Significance
Author: Alexander Karp,Bruce Ramon Vogeli
Publisher: World Scientific
ISBN: 9814277053
Category: Mathematics
Page: 387
View: 3411

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Volume I, entitled Russian Mathematics Education: History and World Significance, consists of several chapters written by distinguished authorities from Russia, the United States and other nations. It Examines the hostory of mathematics education in Russia and its relevance to mathematics education throughout the world. The second volume, entitled Russian Mathematics education is highly respected for its achievements and was once very influential internationally, it has never been explored in depth. This publication does just that. --Book Jacket.

Topics in Quantum Groups and Finite-type Invariants

Mathematics at the Independent University of Moscow
Author: Boris L. Feigin,V. A. Vasilʹev
Publisher: American Mathematical Soc.
ISBN: 9780821810842
Category: Mathematics
Page: 182
View: 6797

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This volume presents the first collection of articles consisting entirely of work by faculty and students of the Higher Mathematics College of the Independent University of Moscow (IUM). This unique institution was established to train elite students to become research scientists. Covered in the book are two main topics: quantum groups and low-dimensional topology. The articles were written by participants of the Feigin and Vassiliev seminars, two of the most active seminars at the IUM.

Writing the History of Mathematics: Its Historical Development

Author: Joseph W. Dauben,Christoph J. Scriba
Publisher: Springer Science & Business Media
ISBN: 9783764361679
Category: Mathematics
Page: 689
View: 1155

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As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.

Mathematical Circle Diaries, Year 1

Complete Curriculum for Grades 5 to 7
Author: Anna Burago
Publisher: American Mathematical Soc.
ISBN: 0821887459
Category: Education
Page: 335
View: 692

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Early middle school is a great time for children to start their mathematical circle education. This time is a period of curiosity and openness to learning. The thinking habits and study skills acquired by children at this age stay with them for a lifetime. Mathematical circles, with their question-driven approach and emphasis on creative problem-solving, have been rapidly gaining popularity in the United States. The circles expose children to the type of mathematics that stimulates development of logical thinking, creativity, analytical abilities and mathematical reasoning. These skills, while scarcely touched upon at school, are in high demand in the modern world. This book contains everything that is needed to run a successful mathematical circle for a full year. The materials, distributed among 29 weekly lessons, include detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle. The curriculum, which is based on the rich and long-standing Russian math circle tradition, has been modified and adapted for teaching in the United States. For the past decade, the author has been actively involved in teaching a number of mathematical circles in the Seattle area. This book is based on her experience and on the compilation of materials from these circles. The material is intended for students in grades 5 to 7. It can be used by teachers and parents with various levels of expertise who are interested in teaching mathematics with the emphasis on critical thinking. Also, this book will be of interest to mathematically motivated children. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Rockefeller and the Internationalization of Mathematics Between the Two World Wars

Document and Studies for the Social History of Mathematics in the 20th Century
Author: Reinhard Siegmund-Schultze
Publisher: Springer Science & Business Media
ISBN: 9783764364687
Category: Mathematics
Page: 341
View: 8177

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Philanthropic societies funded by the Rockefeller family were prominent in the social history of the twentieth century, for their involvement in medicine and applied science. This book provides the first detailed study of their relatively brief but nonetheless influential foray into the field of mathematics.

The Moscow Pythagoreans

Mathematics, Mysticism, and Anti-Semitism in Russian Symbolism
Author: Ilona Svetlikova
Publisher: Springer
ISBN: 1137338288
Category: History
Page: 184
View: 3991

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In Russia at the turn of the twentieth century, mysticism, anti-Semitism, and mathematical theory fused into a distinctive intellectual movement. Through analyses of such seemingly disparate subjects as Moscow mathematical circles and the 1913 novel Petersburg, this book illuminates a forgotten aspect of Russian cultural and intellectual history.

From Mathematics to Generic Programming

Author: Alexander A. Stepanov,Daniel E. Rose
Publisher: Addison-Wesley Professional
ISBN: 0133491781
Category: Computers
Page: 320
View: 1178

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In this substantive yet accessible book, pioneering software designer Alexander Stepanov and his colleague Daniel Rose illuminate the principles of generic programming and the mathematical concept of abstraction on which it is based, helping you write code that is both simpler and more powerful. If you’re a reasonably proficient programmer who can think logically, you have all the background you’ll need. Stepanov and Rose introduce the relevant abstract algebra and number theory with exceptional clarity. They carefully explain the problems mathematicians first needed to solve, and then show how these mathematical solutions translate to generic programming and the creation of more effective and elegant code. To demonstrate the crucial role these mathematical principles play in many modern applications, the authors show how to use these results and generalized algorithms to implement a real-world public-key cryptosystem. As you read this book, you’ll master the thought processes necessary for effective programming and learn how to generalize narrowly conceived algorithms to widen their usefulness without losing efficiency. You’ll also gain deep insight into the value of mathematics to programming—insight that will prove invaluable no matter what programming languages and paradigms you use. You will learn about How to generalize a four thousand-year-old algorithm, demonstrating indispensable lessons about clarity and efficiency Ancient paradoxes, beautiful theorems, and the productive tension between continuous and discrete A simple algorithm for finding greatest common divisor (GCD) and modern abstractions that build on it Powerful mathematical approaches to abstraction How abstract algebra provides the idea at the heart of generic programming Axioms, proofs, theories, and models: using mathematical techniques to organize knowledge about your algorithms and data structures Surprising subtleties of simple programming tasks and what you can learn from them How practical implementations can exploit theoretical knowledge

Algebraic Geometry III

Complex Algebraic Varieties Algebraic Curves and Their Jacobians
Author: A.N. Parshin,I.R. Shafarevich
Publisher: Springer Science & Business Media
ISBN: 3662036622
Category: Mathematics
Page: 270
View: 7451

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This two-part EMS volume provides a succinct summary of complex algebraic geometry, coupled with a lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties. An excellent companion to the older classics on the subject.

Kolmogorov in Perspective

Author: American Mathematical Society
Publisher: American Mathematical Soc.
ISBN: 0821829181
Category: Mathematics
Page: 230
View: 3839

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The editorial board for the History of Mathematics series has selected for this volume a series of translations from two Russian publications, Kolmogorov in Remembrance and Mathematics and its Historical Development. This book, Kolmogorov in Perspective, includes articles written by Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. The articles combine to give an excellent personal and scientific biography of this important mathematician. There is also an extensive bibliography with the complete list of Kolmogorov's works--including the articles written for encyclopedias and newspapers. The book is illustrated with photographs and includes quotations from Kolmogorov's letters and conversations, uniquely reflecting his mathematical tastes and opinions.

Introduction to the Theory of Schemes

Author: Yuri I. Manin
Publisher: Springer
ISBN: 3319743163
Category: Mathematics
Page: 205
View: 6810

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This English edition of Yuri I. Manin's well-received lecture notes provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory. The lectures were originally held in Moscow in the late 1960s, and the corresponding preprints were widely circulated among Russian mathematicians. This book will be of interest to students majoring in algebraic geometry and theoretical physics (high energy physics, solid body, astrophysics) as well as to researchers and scholars in these areas. "This is an excellent introduction to the basics of Grothendieck's theory of schemes; the very best first reading about the subject that I am aware of. I would heartily recommend every grad student who wants to study algebraic geometry to read it prior to reading more advanced textbooks."- Alexander Beilinson