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The Bieberbach Conjecture

Author : Sheng Gong

Publisher : American Mathematical Soc.

Page : 218 pages

File Size : 20,77 MB

Release : 1999-07-12

Category : Education

ISBN : 0821827421

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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.



Translating Popular Film

Author : C. O'Sullivan

Publisher : Springer

Page : 254 pages

File Size : 34,87 MB

Release : 2011-08-26

Category : Performing Arts

ISBN : 0230317545

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Book Description

A ground-breaking study of the roles played by foreign languages in film and television and their relationship to translation. The book covers areas such as subtitling and the homogenising use of English, and asks what are the devices used to represent foreign languages on screen?



Concise Calculus

Author : Sheng Gong

Publisher : World Scientific Publishing Company

Page : 691 pages

File Size : 48,25 MB

Release : 2017-02-03

Category : Mathematics

ISBN : 9813222638

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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.





The Wiley Handbook of Eating Disorders

Author : Linda Smolak

Publisher : John Wiley & Sons

Page : 1027 pages

File Size : 10,96 MB

Release : 2015-09-08

Category : Psychology

ISBN : 1118573943

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Book Description

This groundbreaking two-volume handbook provides a comprehensive collection of evidence-based analyses of the causes, treatment, and prevention of eating disorders. A two-volume handbook featuring contributions from an international group of experts, and edited by two of the leading authorities on eating disorders and body image research Presents comprehensive coverage of eating disorders, including their history, etiological factors, diagnosis, assessment, prevention, and treatment Tackles controversies and previously unanswered questions in the field Includes coverage of DSM-5 and suggestions for further research at the end of each chapter 2 Volumes



Networking for Nerds

Author : Alaina G. Levine

Publisher : John Wiley & Sons

Page : 256 pages

File Size : 18,28 MB

Release : 2015-05-13

Category : Science

ISBN : 1118663551

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Book Description

Networking for Nerds provides a step-by-step guide to understanding how to access hidden professional opportunities through networking. With an emphasis on practical advice on how and why to network, you will learn how to formulate and execute a strategic networking plan that is dynamic, multidimensional, and leverages social media platforms and other networking channels. An invaluable resource for both established and early-career scientists and engineers (as well as networking neophytes!), Networking for Nerds offers concrete insight on crafting professional networks that are mutually beneficial and support the advancement of both your career goals and your scholarly ambitions. “Networking” does not mean going to one reception or speaking with a few people at one conference, and never contacting them again. Rather, “networking” involves a spectrum of activities that engages both parties, ensures everyone’s value is appropriately communicated, and allows for the exploration of a win-win collaboration of some kind. Written by award-winning entrepreneur and strategic career planning expert Alaina G. Levine, Networking for Nerds is an essential resource for anyone working in scientific and engineering fields looking to enhance their professional planning for a truly fulfilling, exciting, and stimulating career. professional planning for a truly fulfilling, exciting, and stimulating career.Networking for Nerds provides a step-by-step guide to understanding how to access hidden professionalopportunities through networking. With an emphasis on practical advice on how and why to network, youwill learn how to formulate and execute a strategic networking plan that is dynamic, multidimensional, andleverages social media platforms and other networking channels.An invaluable resource for both established and early-career scientists and engineers (as well as networkingneophytes!), Networking for Nerds offers concrete insight on crafting professional networks that aremutually beneficial and support the advancement of both your career goals and your scholarly ambitions.“Networking” does not mean going to one reception or speaking with a few people at one conference, andnever contacting them again. Rather, “networking” involves a spectrum of activities that engages bothparties, ensures everyone’s value is appropriately communicated, and allows for the exploration of a win-wincollaboration of some kind.Written by award-winning entrepreneur and strategic career planning expert Alaina G. Levine, Networking forNerds is an essential resource for anyone working in scientific and engineering fields looking to enhance theirprofessional planning for a truly fulfilling, exciting, and stimulating career.



The Mathematical Education of Teachers

Author : Conference Board of the Mathematical Sciences

Publisher : American Mathematical Soc.

Page : 164 pages

File Size : 45,70 MB

Release : 2001

Category : Education

ISBN : 9780821828991

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Book Description

Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well,substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinkingon curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is gearedtoward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively.It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.



Keeping Archives

Author :

Publisher :

Page : pages

File Size : 15,41 MB

Release : 1996

Category : Archives

ISBN : 9781875589937

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Book Description



Tensor Categories

Author : Pavel Etingof

Publisher : American Mathematical Soc.

Page : 362 pages

File Size : 23,45 MB

Release : 2016-08-05

Category : Mathematics

ISBN : 1470434415

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Book Description

Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.



Discrete Fractional Calculus

Author : Christopher Goodrich

Publisher : Springer

Page : 565 pages

File Size : 38,49 MB

Release : 2016-02-09

Category : Mathematics

ISBN : 3319255622

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Book Description

This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each chapter and select answers have been provided at the end of the book. The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject. Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory course for difference equations which also includes discrete fractional calculus. Chapters 1—2 provide a basic introduction to the delta calculus including fractional calculus on the set of integers. For courses where students already have background in elementary real analysis, Chapters 1—2 may be covered quickly and readers may then skip to Chapters 6—7 which present some basic results in fractional boundary value problems (FBVPs). Chapters 6—7 in conjunction with some of the current literature listed in the Bibliography can provide a basis for a seminar in the current theory of FBVPs. For a two-semester course, Chapters 1—5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integer-order calculus.