[Coursera / Stanford University] Introduction to Mathematical Thinking
Год выпуска: 2012
Производитель: Stanford University
Сайт производителя:
https://www.coursera.org/
Автор: Keith Devlin
Продолжительность: 10:53:43
Тип раздаваемого материала: Видеоурок
Язык: Английский
Описание:
The goal of the course is to help you develop a valuable mental ability – a powerful way of thinking that our ancestors have developed over three thousand years.
Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box – a valuable ability in today’s world. This course helps to develop that crucial way of thinking.
The primary audience is first-year students at college or university who are thinking of majoring in mathematics or a mathematically-dependent subject, or high school seniors who have such a college career in mind. They will need mathematical thinking to succeed in their major. Because mathematical thinking is a valuable life skill, however, anyone over the age of 17 could benefit from taking the course.
Содержание
Instructor’s welcome and introduction
1. Introductory material
2. Analysis of language – the logical combinators
3. Analysis of language – implication
4. Analysis of language – equivalence
5. Analysis of language – quantifiers
6. Working with quantifiers
7. Proofs
8. Proofs involving quantifiers
9. Elements of number theory
10. Beginning real analysis
+ тесты в формате pdf, решения к некоторым из них, субтитры на английском
Формат видео: MP4
Видео: MPEG4 Video (H264) 960x540 29.97fps
Аудио: AAC 44100Hz mono 705kbps
Доп. информация:
About the Instructor
Dr. Keith Devlin is a co-founder and Executive Director of Stanford University's H-STAR institute and a co-founder of the Stanford Media X research network. He is a World Economic Forum Fellow and a Fellow of the American Association for the Advancement of Science. His current research is focused on the use of different media to teach and communicate mathematics to diverse audiences. He also works on the design of information/reasoning systems for intelligence analysis. Other research interests include: theory of information, models of reasoning, applications of mathematical techniques in the study of communication, and mathematical cognition. He has written 32 books and over 80 published research articles. He is a recipient of the Pythagoras Prize, the Peano Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. In 2003, he was recognized by the California State Assembly for his "innovative work and longtime service in the field of mathematics and its relation to logic and linguistics." He is "the Math Guy" on National Public Radio.
