MIT | Textbook Publications | Calculus by Gilbert StrangA former president of the Society for Industrial and Applied Mathematics SIAM , author of several textbooks 2 — 9 , and electee to the National Academy of Sciences, Strang wrote the book on linear algebra—and his text has changed how the material is taught. PNAS: Science is complex. Where does linear algebra fit in, and why is it considered indispensable? Strang: From the life sciences to engineering and information networks, scientists are generating inconceivable amounts of data. Magnetic resonance scans produce millions of images; microarrays span entire genomes; the Internet is an enormous graph.
Massachusetts Institute of Technology professor, Gilbert Strang, explains differential equations and linear algebra which are two crucial subjects in science and engineering. This video series develops those subjects both separately and together and supplements Gil Strang's textbook on this subject. The Fundamental Theorem of Calculus says that the integral inverts the derivative. Its slope is a delta function: zero everywhere except infinite at the jump. That complex solution has magnitude G the gain. But if the forcing frequency equals the natural frequency there is resonance.
Bluestrike2 on Oct 16, Adrian Banner's The Calculus Lifesaver is an excellent companion text as well.
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Gilbert Strang is a professor of mathematics at the Massachusetts Institute of Technology, where his research focuses on analysis, linear algebra and PDEs. In addition, he is the author of many textbooks and his service to the mathematics community is extensive, having spent time as President of SIAM, Chair of the Joint Policy Board for Mathematics as well as membership of various other committees and boards. Preface; 1. First order equations; 2. Second order equations; 3. Graphical and numerical methods; 4. Linear equations and inverse matrices; 5.