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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.
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.
The ultimate compendium to everyone’s favorite participants in the eternal battle between good and evil! Profiles of more than 1,000 mythic superheroes, icons, and their place in popular culture. Superhuman strength. Virtual invulnerability. Motivated to defend the world from criminals and madmen. Possessing a secret identity. And they even have fashion sense—they look great in long underwear and catsuits. These are the traits that define the quintessential superhero. Their appeal and media presence has never been greater, but what makes them tick? their strengths? weaknesses? secret identities and arch-enemies? The Superhero Book: The Ultimate Encyclopedia of Comic-Book Icons and Hollywood Heroes is the comprehensive guide to all those characters whose impossible feats have graced the pages of comic books for the past one hundred years. From the Golden and Silver Ages to the Bronze and Modern Ages, the best-loved and most historically significant superheroes—mainstream and counterculture, famous and forgotten, best and worst—are all here: The Avengers Batman and Robin Captain America Superman Wonder Woman Captain Marvel Spider-Man The Incredibles The Green Lantern Iron Man Catwoman Wolverine Aquaman Hellboy Elektra Spawn The Punisher Teen Titans The Justice League The Fantastic Four and hundreds of others. Unique in bringing together characters from Marvel, DC, and Dark Horse, as well as smaller independent houses, The Superhero Book covers the best-loved and historically significant superheroes across all mediums and guises, from comic book, movie, television, and graphic novels. With many photos and illustrations this fun, fact-filled tome is richly illustrated. A bibliography and extensive index add to its usefulness. It is the ultimate A-to-Z compendium of everyone's favorite superheroes, anti-heroes and their sidekicks, villains, love interests, superpowers, and modus operandi.
This volume contains the proceedings of the conference, Symbolic Dynamics and its Applications, held at Yale University in the summer of 1991 in honour of Roy L. Adler on his sixtieth birthday. The conference focused on symbolic dynamics and its applications to other fields, including: ergodic theory, smooth dynamical systems, information theory, automata theory, and statistical mechanics. Featuring a range of contributions from some of the leaders in the field, this volume presents an excellent overview of the subject.