PPT-History & Philosophy of Calculus

Week 10 Summary amp Criticisms of analysis History amp Philosophy of Calculus Week 10 The Story so Far Classical inheritance of Calculus Various methods for dealing with curves amp conics. By Masayuki Sato. Lecture Two. Intellectual . Foundation for . Chinese Philosophy. 【. 本著作除另有註明外，採取. 創用. CC. 「姓名標示－非商業性－相同方式分享」台灣. AC 2311 C ** Calculus I ( 4 ) AC 2312 ** Calculus II ( 4 ) AC 2313 ** ( 4 ) HY 2048 C ** Physics for Engineers I ( 4 ) HY 2049 C ** Physics for Engineers II ( 4 ) AP 2302 ** Differential 8. Newton & Leibniz. History & Philosophy of Calculus, Session . 8. The invention of the calculus. Newton and Leibniz in 17. th. Century invented the algorithmic procedures underlying the calculus. Newton & Leibniz. Summary. Calculus seems to demand some concept of the infinitesimal. Magnitude. New number. Or both?. But infinitesimals lack . clarity . Concepts that are not mathematical being used to interpret mathematics?. 6. Conceptual Issues in the . deveopment. of the Calculus. Piecemeal technical breakthroughs over the centuries. Especially algebra & its logical power. Shifted the focus to new techniques & what could be accomplished.  . What is . λ-calculus ?. . “Lambda . calculus.  . is . a formal . system.  in . mathematical logic.  and computer science for expressing computation based on function abstraction and application using variable . What is philosophy?. Philosophy is what everyone does when they’re not busy dealing with their everyday business and get a change simply to wonder what life and the universe are all about.. Philosophy is not so much about coming up with the answers to fundamental questions as it is about the process of trying to find these answers, using reasoning rather than accepting without question conventional views or traditional authority.. Conceptual Issues in the development of the Calculus. Piecemeal technical breakthroughs over the centuries. Especially algebra & its logical power. Shifted the focus to new techniques & what . How . do you know . how fast. You are going? . “well . how do you know. How fast you’re going. Right now,. At this very second?” . Push your friend so . that his/her . speed . changes. Try . The mathematics of continuous change. Instead of looking at average or overall results, calculus looks at how things change from second to second.. Calculus. The mathematics of continuous change. Instead of looking at average or overall results, calculus looks at how things change from second to second.. GCSE Taster Session. LOs. To know the difference between Core REP and GCSE REP.. To understand what we study at GCSE and how it is assessed.. To know why REP is valued by universities and employers.. Due 26 May 2011. HN. Intro to Philosophy Final . Project. Who was Hegel?. Georg Wilhelm Friedrich Hegel. was born in Stuttgart, Germany, in 1770.. Hegel worked as a professor in various German universities, where he became well acquainted with . YangQuan Chen, Ph.D., Director, . MESA . (Mechatronics, Embedded Systems and Automation). Lab. MEAM/EECS, School of Engineering,. University of California, Merced. E. : . yqchen@ieee.org. ; . or. , yangquan.chen@ucmerced.edu. YangQuan Chen, Ph.D., Director, . MESA . (Mechatronics, Embedded Systems and Automation). Lab. MEAM/EECS, School of Engineering,. University of California, Merced. E. : . yqchen@ieee.org. ; . or. , yangquan.chen@ucmerced.edu.