Исполнитель: Taught by Steven Strogatz/Преподавал Стивен Строгатц

Жанр: 24 lectures, 30 minutes per lecture

Издательство: The Teaching Company

Язык: English/Английский

Тип: видеолекции

Формат: AVI

Размер: 640х480

Видео кодек: XviD

Аудио кодек: MP3

Описание: Курс видеолекций "Хаос" от "The Teaching Company" на английском языке.

About the Lecturer

Steven Strogatz

Cornell University

Ph.D., Harvard University

Professor Steven Strogatz is the Jacob Gould Schurman Professor of Applied Mathematics and Professor of Theoretical and Applied Mechanics at Cornell University. He graduated summa cum laude from Princeton University with a B.A. in Mathematics and received his Ph.D. from Harvard University. Before joining Cornell University in 1994, Professor Strogatz was a faculty member at MIT.

Professor Strogatz's books include Nonlinear Dynamics and Chaos—the most widely used textbook on chaos theory—and Sync: The Emerging Science of Spontaneous Order (chosen as a Best Book of 2003 by Discover magazine).

Lauded for his exceptional teaching abilities, Professor Strogatz holds a Communications Award—a lifetime achievement award for the communication of mathematics to the general public—from the Joint Policy Board for Mathematics, which represents the four major American mathematical societies. He also received the Tau Beta Pi Excellence in Teaching Award from Cornell University's College of Engineering and the E. M. Baker Memorial Award for Excellence in Undergraduate Teaching from MIT.

Courses by this professor:

Chaos

Chaos & Dark Matter, Dark Energy (Set)

Steven Strogatz

Cornell University

Ph.D., Harvard University

Professor Steven Strogatz is the Jacob Gould Schurman Professor of Applied Mathematics and Professor of Theoretical and Applied Mechanics at Cornell University. He graduated summa cum laude from Princeton University with a B.A. in Mathematics and received his Ph.D. from Harvard University. Before joining Cornell University in 1994, Professor Strogatz was a faculty member at MIT.

Professor Strogatz's books include Nonlinear Dynamics and Chaos—the most widely used textbook on chaos theory—and Sync: The Emerging Science of Spontaneous Order (chosen as a Best Book of 2003 by Discover magazine).

Lauded for his exceptional teaching abilities, Professor Strogatz holds a Communications Award—a lifetime achievement award for the communication of mathematics to the general public—from the Joint Policy Board for Mathematics, which represents the four major American mathematical societies. He also received the Tau Beta Pi Excellence in Teaching Award from Cornell University's College of Engineering and the E. M. Baker Memorial Award for Excellence in Undergraduate Teaching from MIT.

Courses by this professor:

Chaos

Chaos & Dark Matter, Dark Energy (Set)

Course Lecture Titles

1. The Chaos Revolution

2. The Clockwork Universe

3. From Clockwork to Chaos

4. Chaos Found and Lost Again

5. The Return of Chaos

6. Chaos as Disorder—The Butterfly Effect

7. Picturing Chaos as Order—Strange Attractors

8. Animating Chaos as Order—Iterated Maps

9. How Systems Turn Chaotic

10. Displaying How Systems Turn Chaotic

11. Universal Features of the Route to Chaos

12. Experimental Tests of the New Theory

13. Fractals—The Geometry of Chaos

14. The Properties of Fractals

15. A New Concept of Dimension

16. Fractals Around Us

17. Fractals Inside Us

18. Fractal Art

19. Embracing Chaos—From Tao to Space Travel

20. Cloaking Messages with Chaos

21. Chaos in Health and Disease

22. Quantum Chaos

23. Synchronization

24. The Future of Science

1. The Chaos Revolution

2. The Clockwork Universe

3. From Clockwork to Chaos

4. Chaos Found and Lost Again

5. The Return of Chaos

6. Chaos as Disorder—The Butterfly Effect

7. Picturing Chaos as Order—Strange Attractors

8. Animating Chaos as Order—Iterated Maps

9. How Systems Turn Chaotic

10. Displaying How Systems Turn Chaotic

11. Universal Features of the Route to Chaos

12. Experimental Tests of the New Theory

13. Fractals—The Geometry of Chaos

14. The Properties of Fractals

15. A New Concept of Dimension

16. Fractals Around Us

17. Fractals Inside Us

18. Fractal Art

19. Embracing Chaos—From Tao to Space Travel

20. Cloaking Messages with Chaos

21. Chaos in Health and Disease

22. Quantum Chaos

23. Synchronization

24. The Future of Science

But how can something called chaos theory help you understand an orderly world? What practical things might it be good for? What, in fact, is chaos theory?

"Chaos theory," according to Dr. Steven Strogatz, Director of the Center for Applied Mathematics at Cornell University, "is the science of how things change." It describes the behavior of any system whose state evolves over time and whose behavior is sensitive to small changes in its initial conditions.

The 24 lectures of Chaos take you to the heart of chaos theory as it is understood today. Taught by Professor Strogatz, an award-winning Ivy League professor and a scientist described by Nature magazine as "one of the most creative biomathematicians of the past few decades," Chaos introduces you to a fascinating discipline that has more to do with your everyday life than you may realize.--

A Revolutionary Way of Thinking

Surprisingly, you have already encountered chaos theory before, although you might not have recognized it at the time. From the flapping of a butterfly's wings to the dripping of a leaky faucet, chaos theory draws a wealth of unordinary insight from the most ordinary of occurrences.

Chaos theory affects nearly every field of human knowledge and endeavor, from astronomy and zoology to the arts, the humanities, and business. It can:

* help analysts understand price fluctuations in the stock market,

* ensure a smooth flow of data traffic on the Internet, and

* show insurance companies how to manage the risks of natural catastrophes.

This course shows you the importance of this revolutionary field and how it has helped us come closer than ever to solving some of life's mysteries. Today, the underlying mathematics of science's major unsolved problems—including the nature of consciousness, the origin of life, and cancer—are essentially nonlinear; express any of these problems as a mathematical system and you learn that the whole may be either more or less than the sum of its parts.

In its ability to tackle bewilderingly complex problems, chaos theory has revolutionized the way we perceive the world around us. It allows scientists to reach beyond a dependency on the analytical limitations of the deterministic, "clockwork" universe that was the legacy of thinkers like Galileo, Kepler, and especially Newton.

Throughout the lectures, Professor Strogatz makes the case for why chaos theory marks such a radical departure from traditional science:

* It asks unusual questions at the everyday scale of human life.

* It shifts the focus off the laws of nature and onto their consequences.

* It uses the computer not as a calculating tool but as a means of amplifying intuition.

* It does not reduce complex problems into their separate parts but puts the parts back together to help understand the whole.

* It is radically interdisciplinary in an era of increasingly specialized disciplines.

* It paints a topsy-turvy picture of the world in which simple systems can show complex behavior.

* It is a scientific field in which change came about suddenly.

Surprisingly, you have already encountered chaos theory before, although you might not have recognized it at the time. From the flapping of a butterfly's wings to the dripping of a leaky faucet, chaos theory draws a wealth of unordinary insight from the most ordinary of occurrences.

Chaos theory affects nearly every field of human knowledge and endeavor, from astronomy and zoology to the arts, the humanities, and business. It can:

* help analysts understand price fluctuations in the stock market,

* ensure a smooth flow of data traffic on the Internet, and

* show insurance companies how to manage the risks of natural catastrophes.

This course shows you the importance of this revolutionary field and how it has helped us come closer than ever to solving some of life's mysteries. Today, the underlying mathematics of science's major unsolved problems—including the nature of consciousness, the origin of life, and cancer—are essentially nonlinear; express any of these problems as a mathematical system and you learn that the whole may be either more or less than the sum of its parts.

In its ability to tackle bewilderingly complex problems, chaos theory has revolutionized the way we perceive the world around us. It allows scientists to reach beyond a dependency on the analytical limitations of the deterministic, "clockwork" universe that was the legacy of thinkers like Galileo, Kepler, and especially Newton.

Throughout the lectures, Professor Strogatz makes the case for why chaos theory marks such a radical departure from traditional science:

* It asks unusual questions at the everyday scale of human life.

* It shifts the focus off the laws of nature and onto their consequences.

* It uses the computer not as a calculating tool but as a means of amplifying intuition.

* It does not reduce complex problems into their separate parts but puts the parts back together to help understand the whole.

* It is radically interdisciplinary in an era of increasingly specialized disciplines.

* It paints a topsy-turvy picture of the world in which simple systems can show complex behavior.

* It is a scientific field in which change came about suddenly.

Follow the Exciting Story of Chaos

As you delve into this ever-evolving field, you learn the surprising tale of how chaos theory was discovered—a story that Professor Strogatz likens to a detective novel filled with twists and turns.

First glimpsed by the French mathematician Henri Poincaré, the notion of chaos theory was lost for nearly a century before being rediscovered—almost accidentally. It was revived by a mathematically oriented meteorologist named Edward Lorenz, whose development of the butterfly effect (the extreme sensitivity of a chaotic system to tiny changes in its initial conditions) had little impact until the 1970s and 1980s, when the wave of chaos theory finally crashed onto the shores of the scientific community.

As you follow the story of chaos theory's development, you approach the core ideas of chaos in the same way the world's greatest thinkers, grounded in their historical contexts, once did. This story not only helps you understand the fundamentals of this field, but it also helps you appreciate the extraordinary intellectual feat that chaos theory represents.

As you delve into this ever-evolving field, you learn the surprising tale of how chaos theory was discovered—a story that Professor Strogatz likens to a detective novel filled with twists and turns.

First glimpsed by the French mathematician Henri Poincaré, the notion of chaos theory was lost for nearly a century before being rediscovered—almost accidentally. It was revived by a mathematically oriented meteorologist named Edward Lorenz, whose development of the butterfly effect (the extreme sensitivity of a chaotic system to tiny changes in its initial conditions) had little impact until the 1970s and 1980s, when the wave of chaos theory finally crashed onto the shores of the scientific community.

As you follow the story of chaos theory's development, you approach the core ideas of chaos in the same way the world's greatest thinkers, grounded in their historical contexts, once did. This story not only helps you understand the fundamentals of this field, but it also helps you appreciate the extraordinary intellectual feat that chaos theory represents.

Learn Chaos Theory Visually

This course offers you a unique opportunity to get an expert's instruction on the field of chaos theory and is one of the only places outside the halls of academia where you can follow along with detailed computer graphics—specifically developed for this course—as visual aids.

"For understanding these core concepts [of chaos theory], pictures turn out to be much more powerful than formulas," notes Professor Strogatz. Forgoing a heavy reliance on advanced math, he uses clear and powerful computer graphics to clarify chaos theory's core concepts.

A large portion of the course explores the intimate relationship between chaos theory and fractals: shapes or processes whose structures repeat ad infinitum such that the tiniest parts resemble the original whole. You see how fractals are unique from more commonly known shapes like circles and cubes and how they can be used to describe a variety of processes and phenomena like the jagged coastline of Norway or the drip paintings of Jackson Pollock.

This course offers you a unique opportunity to get an expert's instruction on the field of chaos theory and is one of the only places outside the halls of academia where you can follow along with detailed computer graphics—specifically developed for this course—as visual aids.

"For understanding these core concepts [of chaos theory], pictures turn out to be much more powerful than formulas," notes Professor Strogatz. Forgoing a heavy reliance on advanced math, he uses clear and powerful computer graphics to clarify chaos theory's core concepts.

A large portion of the course explores the intimate relationship between chaos theory and fractals: shapes or processes whose structures repeat ad infinitum such that the tiniest parts resemble the original whole. You see how fractals are unique from more commonly known shapes like circles and cubes and how they can be used to describe a variety of processes and phenomena like the jagged coastline of Norway or the drip paintings of Jackson Pollock.

Find the Unordinary in the Ordinary

Professor Strogatz's expert guidance lays bare the complexities of chaos theory in a way that any interested layperson can understand. With the insights he provides in Chaos, news stories about key scientific discoveries and new directions in research take on a fresh importance.

Professor Strogatz is a teacher repeatedly honored by institutions and students alike. During his tenure at the Massachusetts Institute of Technology, he received the E. M. Baker Memorial Award for Excellence in Undergraduate Teaching, the university's only institute-wide teaching prize selected and awarded solely by students. In 2007, he received a lifetime achievement award for the communication of mathematics to the general public from the Joint Policy Board for Mathematics, which represents the four major American mathematical societies.

Whether charting the exciting history of the field, focusing on fractals as "the footprints of chaos," or journeying to the frontiers of chaos research, this course shows you new ways to think about and view the world around you.

Professor Strogatz's expert guidance lays bare the complexities of chaos theory in a way that any interested layperson can understand. With the insights he provides in Chaos, news stories about key scientific discoveries and new directions in research take on a fresh importance.

Professor Strogatz is a teacher repeatedly honored by institutions and students alike. During his tenure at the Massachusetts Institute of Technology, he received the E. M. Baker Memorial Award for Excellence in Undergraduate Teaching, the university's only institute-wide teaching prize selected and awarded solely by students. In 2007, he received a lifetime achievement award for the communication of mathematics to the general public from the Joint Policy Board for Mathematics, which represents the four major American mathematical societies.

Whether charting the exciting history of the field, focusing on fractals as "the footprints of chaos," or journeying to the frontiers of chaos research, this course shows you new ways to think about and view the world around you.

Available Exclusively on DVD

Because of the highly visual nature of the subject matter, this course is available exclusively on DVD. To help augment the "story" of chaos, the course features more than two hours of animation, a variety of in-studio demonstrations, more than 150 photos, diagrams, and video clips, and specially created software that Professor Strogatz uses to illustrate various aspects of chaos theory.

Because of the highly visual nature of the subject matter, this course is available exclusively on DVD. To help augment the "story" of chaos, the course features more than two hours of animation, a variety of in-studio demonstrations, more than 150 photos, diagrams, and video clips, and specially created software that Professor Strogatz uses to illustrate various aspects of chaos theory.

`-Уважаемые пользователи: Для спасибо существует кнопка "спасибо"`

убедительная просьба - в теме оставлять конструктивные коментарии.