The Bieberbach Conjecture PDF Download
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Author: Sheng Gong
Publisher: American Mathematical Soc.
ISBN: 0821827421
Category : Education
Languages : en
Pages : 218
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Book Description
In 1919, Bieberbach posed a seemingly simple conjecture. That ``simple'' conjecture challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution. In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included. Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level.
Author: Sheng Gong
Publisher: American Mathematical Soc.
ISBN: 0821827421
Category : Education
Languages : en
Pages : 218
Get Book Here
Book Description
In 1919, Bieberbach posed a seemingly simple conjecture. That ``simple'' conjecture challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution. In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included. Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level.
Author: Sheng Gong
Publisher: World Scientific Publishing Company
ISBN: 9813222638
Category : Mathematics
Languages : en
Pages : 691
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Book Description
Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields.This book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.
Author: John L. Casti
Publisher:
ISBN: 0786747609
Category : Science
Languages : en
Pages : 222
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Book Description
Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.
Author: Alexander Givental
Publisher: American Mathematical Soc.
ISBN: 9780821828502
Category : Algebras, Linear
Languages : en
Pages : 150
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Book Description
The material presented in this book corresponds to a semester-long course, ``Linear Algebra and Differential Equations'', taught to sophomore students at UC Berkeley. In contrast with typical undergraduate texts, the book offers a unifying point of view on the subject, namely that linear algebra solves several clearly-posed classification problems about such geometric objects as quadratic forms and linear transformations. This attractive viewpoint on the classical theory agrees well with modern tendencies in advanced mathematics and is shared by many research mathematicians. However, the idea of classification seldom finds its way to basic programs in mathematics, and is usually unfamiliar to undergraduates. To meet the challenge, the book first guides the reader through the entire agenda of linear algebra in the elementary environment of two-dimensional geometry, and prior to spelling out the general idea and employing it in higher dimensions, shows how it works in applications such as linear ODE systems or stability of equilibria. Appropriate as a text for regular junior and honors sophomore level college classes, the book is accessible to high school students familiar with basic calculus, and can also be useful to engineering graduate students.
Author: Dudley Randall
Publisher: Bantam
ISBN: 0553275631
Category : Poetry
Languages : en
Pages : 380
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Book Description
"The claim of The Black Poets to being... an anthology is that it presents the full range of Black-American poetry, from the slave songs to the present day. It is important that folk poetry be included because it is the root and inspiration of later, literary poetry. Not only does this book present the full range of Black poetry, but it presents most poets in depths, and in some cases presents aspects of a poet neglected or overlooked before. Gwendolyn Brooks is represented not only by poems on racial and domestic themes, but is revealed as a writer of superb love lyrics. Tuming away from White models and retuming to their roots has freed Black poets to create a new poetry. This book records their progress."--from the Introduction by Dudley Randall
Author: John Dawson
Publisher: A K Peters/CRC Press
ISBN: 9781568812564
Category : Mathematics
Languages : en
Pages : 376
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Book Description
This authoritative biography of Kurt Goedel relates the life of this most important logician of our time to the development of the field. Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Austria to the Institute for Advanced Study in Princeton.
Author: United States. Congress. Senate. Select Committee on Small Business
Publisher:
ISBN:
Category : Legislative hearings
Languages : en
Pages : 1776
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Book Description
Author: Mick Garris
Publisher:
ISBN:
Category :
Languages : en
Pages : 356
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Book Description
ntroduction by Stephen King, Afterword by Tobe Hooper, Jacket and Interior Art by Clive BarkerA LIFE IN THE CINEMA is the first book from award-winning filmmaker Mick Garris. It is a collection of eight prickly tales and a screenplay that reach under the skin of real life and reel life to take you places you never realized you wanted to go. The title story, "A Life in the Cinema" and its sequel, "Starfucker", are set in the author's hometown of Hollywood, and provide a yellow-jaundiced look at a world you only thought was glamorous.As Stephen King, in his introduction, says: "Here is a real Hollywood insider writing about the real inside world of filmmaking: the good, the bad, and the cheesy. These stories are both erotic and cynical, but they are above all well and fiercely told-when he's yarning about the tarnished tinsel underbelly of the town he knows (and clearly loves) the best, Mick Garris writes like a combination of Robert Bloch and James Ellroy, hardboiled noir with a ghastly little prink of the devil's own pitchfork."Not all of the stories are Hollywood-based: Garris includes tales of a grandmother who is just as loving in death as she was in life, a geriatric trailer park with a randy secret, wistful and impossible love with a twist, the wrong kind of baby-love, and a deathly brush with fame. The book is capped with a screenplay by Garris, as well as "Chocolate", the story it's based on, providing, as King puts it, "a textbook seminar in the art and craft of adapting one's own work."So welcome to a dark side of Hollywood you've never seen before...
Author: Lawrence Livermore National Laboratory
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 212
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Book Description
Author: Constantin Andronache
Publisher: Springer
ISBN: 3319725831
Category : Technology & Engineering
Languages : en
Pages : 288
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Book Description
This book presents current applications of remote sensing techniques for clouds and precipitation for the benefit of students, educators, and scientists. It covers ground-based systems such as weather radars and spaceborne instruments on satellites. Measurements and modeling of precipitation are at the core of weather forecasting, and long-term observations of the cloud system are vital to improving atmospheric models and climate projections. The first section of the book focuses on the use of ground-based weather radars to observe and measure precipitation and to detect and forecast storms, thunderstorms, and tornadoes. It also discusses the observation of clouds using ground-based millimeter radar. The second part of the book concentrates on spaceborne remote sensing of clouds and precipitation. It includes cases from the Tropical Rainfall Measuring Mission (TRMM) and the Global Precipitation Measurement (GPM) mission, using satellite radars to observe precipitation systems. Then, the focus is on global cloud observations from the ClaudSat, Cloud-Aerosol Lidar and Infrared Pathfinder Satellite Observation (CALIPSO), including a perspective on the Earth Clouds, Aerosols, and Radiation Explorer (EarthCARE) satellite. It also addresses global atmospheric water vapor profiling for clear and cloudy conditions using microwave observations. The final part of this volume provides a perspective into advances in cloud modeling using remote sensing observations.
