Alexander Blokh's Books

Laminational Models for Some Spaces of Polynomials of Any Degree

By: Alexander Blokh,Lex Oversteegen,Ross Ptacek,Vladlen Timorin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Laminational Models for Some Spaces of Polynomials of Any Degree

By: Alexander Blokh,Lex Oversteegen,Ross Ptacek,Vladlen Timorin

The so-called 'pinched disk' model of the Mandelbrot set is due to A. Douady, J. H. Hubbard, and W. P. Thurston. It can be described in the language of geodesic laminations.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

105

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470441764

ISBN 13

9781470441760

Sharkovsky Ordering

By: Alexander M. Blokh,Oleksandr M. Sharkovsky

Write a review Read reviews Take a Quiz Solve Book Puzzle

Sharkovsky Ordering

By: Alexander M. Blokh,Oleksandr M. Sharkovsky

This book provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical systems theory and applications. It addresses the coexistence of cycles for continuous interval maps and one-dimensional spaces, combinatorial dynamics on the interval and multidimensional dynamical systems. Also featured is a short chapter of personal remarks by O.M. Sharkovsky on the history of the Sharkovsky ordering, the discovery of which almost 60 years ago led to the inception of combinatorial dynamics. Now one of cornerstones of dynamics, bifurcation theory and chaos theory, the Sharkovsky ordering is an important tool for the investigation of dynamical processes in nature. Assuming only a basic mathematical background, the book will appeal to students, researchers and anyone who is interested in the subject.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

114

Publisher

Springer Nature

Published Date

ISBN 10

3030991253

ISBN 13

9783030991258

Fixed Point Theorems for Plane Continua with Applications

By: Alexander M. Blokh,Robbert J. Fokkink,John C. Mayer,Lex G. Oversteegen,E. D. Tymchatyn

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fixed Point Theorems for Plane Continua with Applications

By: Alexander M. Blokh,Robbert J. Fokkink,John C. Mayer,Lex G. Oversteegen,E. D. Tymchatyn

In this memoir the authors present proofs of basic results, including those developed so far by Harold Bell, for the plane fixed point problem: Does every map of a non-separating plane continuum have a fixed point? Some of these results had been announced much earlier by Bell but without accessible proofs. The authors define the concept of the variation of a map on a simple closed curve and relate it to the index of the map on that curve: Index = Variation + 1. A prime end theory is developed through hyperbolic chords in maximal round balls contained in the complement of a non-separating plane continuum $X$. They define the concept of an outchannel for a fixed point free map which carries the boundary of $X$ minimally into itself and prove that such a map has a unique outchannel, and that outchannel must have variation $-1$. Also Bell's Linchpin Theorem for a foliation of a simply connected domain, by closed convex subsets, is extended to arbitrary domains in the sphere. The authors introduce the notion of an oriented map of the plane and show that the perfect oriented maps of the plane coincide with confluent (that is composition of monotone and open) perfect maps of the plane. A fixed point theorem for positively oriented, perfect maps of the plane is obtained. This generalizes results announced by Bell in 1982.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

117

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821884883

ISBN 13

9780821884881

The European Idea in History in the Nineteenth and Twentieth Centuries

A View From Moscow

By: Alexander Tchoubarian

Write a review Read reviews Take a Quiz Solve Book Puzzle

The European Idea in History in the Nineteenth and Twentieth Centuries

A View From Moscow

By: Alexander Tchoubarian

First Published in 1995. One of the principal inferences of this book is that Russia was and remains an inalienable part of European civilization and culture. After the French Revolution and the Napoleonic Wars, Russian society was quick to grasp ideas of Enlightenment, liberty, equality and fraternity while other thinkers rejected this and insisted on Russian exclusivity. The book concludes with a view of the future of Europe as the twenty-first century approached.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

203

Publisher

Routledge

Published Date

ISBN 10

1135233942

ISBN 13

9781135233945

Leonid Isaakovich Mandelstam

Research, Teaching, Life

By: Alexander Pechenkin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Leonid Isaakovich Mandelstam

Research, Teaching, Life

By: Alexander Pechenkin

This biography of the famous Soviet physicist Leonid Isaakovich Mandelstam (1889-1944), who became a Professor at Moscow State University in 1925, describes his contributions to both physics and technology, as well as discussing the scientific community which formed around him, usually called the Mandelstam school. Mandelstam’s life story is thereby placed in its proper cultural context. The following more general issues are taken under consideration: the impact of German scientific culture on Russian science; the problems and fates of Russian intellectuals during the revolutionary and post-revolutionary years; the formation of the Soviet Academy of Sciences; and transformation of the system of higher education in the USSR during the 1920's and 1930's.The author shows that Mandelstam’s fundamental writings and his lectures notes allow to reconstruct his philosophy of science and his approach to the social and ethical functions of science and science education. That reconstruction is enhanced through extensive use of hitherto unpublished archival material as well as the transcripts of personal interviews conducted by the author.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

245

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3319005723

ISBN 13

9783319005720

L.I. Mandelstam and His School in Physics

By: Alexander Pechenkin

Write a review Read reviews Take a Quiz Solve Book Puzzle

L.I. Mandelstam and His School in Physics

By: Alexander Pechenkin

This biography of the famous Soviet physicist Leonid Isaakovich Mandelstam (1889–1944), who became a Professor at Moscow State University in 1925 and an Academician (the highest scientific title in the USSR) in 1929, describes his contributions to both physics and technology. It also discusses the scientific community that formed around him, commonly known as the Mandelstam School. By doing so, it places Mandelstam’s life story in its cultural context: the context of German University (until 1914), the First World War, the Civil War, and the development of the Socialist Revolution (until 1925) and the young socialist country. The book considers various general issues, such as the impact of German scientific culture on Russian science; the problems and fates of Russian intellectuals during the revolutionary and post-revolutionary years; the formation of the Soviet Academy of Science, the State Academy; and the transformation of the system of higher education in the USSR during the 1920s and 1930s. Further, it reconstructs Mandelstam’s philosophy of science and his approach to the social and ethical function of science and science education based on his fundamental writings and lecture notes. This reconstruction is enhanced by extensive use of previously unpublished archive material as well as the transcripts of personal interviews conducted by the author. The book also discusses the biographies of Mandelstam’s friends and collaborators: German mathematician and philosopher Richard von Mises, Soviet Communist Party official and philosopher B.M.Hessen, Russian specialist in radio engineering N.D.Papalexy, the specialists in non-linear dynamics A.A.Andronov, S.E. Chaikin, A.A.Vitt and the plasma physicist M.A.Leontovich. This second, extended edition reconstructs the social and economic backgrounds of Mandelstam and his colleagues, describing their positions at the universities and the institutes belonging to the Academy of Science. Additionally, Mandelstam’s philosophy of science is investigated in connection with the ideological attacks that occurred after Mandelstam’s death, particularly the great mathematician A.D.Alexandrov’s criticism of Mandelstam’s operationalism.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

264

Publisher

Springer Nature

Published Date

ISBN 10

3030176851

ISBN 13

9783030176853

Empire of Knowledge

The Academy of Sciences of the USSR 1917 - 1970

By: Alexander Vucinich

Write a review Read reviews Take a Quiz Solve Book Puzzle

Empire of Knowledge

The Academy of Sciences of the USSR 1917 - 1970

By: Alexander Vucinich

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1984.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

496

Publisher

Univ of California Press

Published Date

ISBN 10

0520347269

ISBN 13

9780520347267

Fixed Point Theorems for Plane Continua with Applications

By: Alexander M. Blokh,Robbert J. Fokkink,John C. Mayer,Lex G. Oversteegen,E. D. Tymchatyn

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fixed Point Theorems for Plane Continua with Applications

By: Alexander M. Blokh,Robbert J. Fokkink,John C. Mayer,Lex G. Oversteegen,E. D. Tymchatyn

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

117

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821884883

ISBN 13

9780821884881

Laminational Models for Some Spaces of Polynomials of Any Degree

By: Alexander Blokh,Lex Oversteegen,Ross Ptacek,Vladlen Timorin

Write a review Read reviews Take a Quiz Solve Book Puzzle

Laminational Models for Some Spaces of Polynomials of Any Degree

By: Alexander Blokh,Lex Oversteegen,Ross Ptacek,Vladlen Timorin

The so-called 'pinched disk' model of the Mandelbrot set is due to A. Douady, J. H. Hubbard, and W. P. Thurston. It can be described in the language of geodesic laminations.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

105

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470441764

ISBN 13

9781470441760

Book's by Alexander Blokh

Laminational Models for Some Spaces of Polynomials of Any Degree

Laminational Models for Some Spaces of Polynomials of Any Degree

Sharkovsky Ordering

Sharkovsky Ordering

Fixed Point Theorems for Plane Continua with Applications

Fixed Point Theorems for Plane Continua with Applications

The European Idea in History in the Nineteenth and Twentieth Centuries

The European Idea in History in the Nineteenth and Twentieth Centuries

Leonid Isaakovich Mandelstam

Leonid Isaakovich Mandelstam

L.I. Mandelstam and His School in Physics

L.I. Mandelstam and His School in Physics

Empire of Knowledge

Empire of Knowledge

Fixed Point Theorems for Plane Continua with Applications

Fixed Point Theorems for Plane Continua with Applications

Laminational Models for Some Spaces of Polynomials of Any Degree

Laminational Models for Some Spaces of Polynomials of Any Degree

Username

Password

Username

Password

Password again

Birthday

Email