This series of 5 videos will provide an introduction to geometric calculus for those who know some vector calculus. It is based on my textbook "Vector and Ge...
Mathematics as a Non-Superstition. Eleven math courses (in the playlists), from high school (precalculus) to early graduate school (functional analysis), taught in such a way that the student should be able to defend (almost) all statements against objection.
Playlist List (sorted by last added):
Course 4: Linear Algebra
Course 3: Calculus II (US)
Course 2: Calculus I (Another extra)
Course 7: Principles of Mathematical Analysis
Course 9: Basic Functional and Harmonic Analysis
Course 8: Fourier Analysis
Course 8: Complex Analysis
Course 6: Introduction to Analysis
Course 5: Differential Equations
Course 4: Multivariable Calculus
Course 3: Calculus II
Course 2: Calculus I
Course 1: Precalculus
Principles of Mathematical Analysis (based on Rudin's book of that name, Chapters 1, 2, 4, 5, 3, 7). (Prerequisites: some familiarity with theoretical mathem...
An introduction to theoretical mathematics via the basic concepts of analysis: fields, the real numbers, least upper bounds, the limit, sequences, Cauchy seq...
U. Menne. (2017)cite arxiv:1705.05253Comment: The present text is a version with additional references but without figures of a note compiled for the Notices of the American Mathematical Society. (v4: considerably expanded introduction, 6 pages).
L. Schröder, und T. Mossakowski. Journal of Logic and Computation, 14 (4):
571--619(2004)Earlier version appeared in Martin Wirsing, Dirk Pattinson, and Rolf Hennicker (eds.), Recent Trends in Algebraic Development Techniques, 16th International Workshop (WADT 2002), LNCS vol. 2755, Springer, Berlin, 2003, pp. 425-441.
T. Mossakowski, und A. Tarlecki. 17th International Conference on Foundations of Software Science and Computation Structures (FoSSaCS), Volume 8412 von Lecture Notes in Computer Science, Seite 441-456. Springer-Verlag Berlin Heidelberg, (2014)
D. Lücke, und T. Mossakowski. Proceedings of the 5th Starting AI Researcher Symposium (STAIRS 2010), Volume 222 von Frontiers in Artificial Intelligence and Applications, Seite 175-185. IOS Press; Amsterdam; http://www.iospress.nl, (2010)
D. Hausmann, T. Mossakowski, und L. Schröder. Algebra and Coalgebra in Computer Science, Volume 3629 von Lecture Notes in Computer Science, Seite 232-246. Springer; Berlin, (2005)
M. Codescu, und T. Mossakowski. Algebra and Coalgebra in Computer Science, CALCO'11, Volume 6859 von Lecture Notes in Computer Science, Seite 145-160. Springer, (2011)
D. Hestenes. Clifford Algebras and their Applications in Mathematical Physics, Volume 55 von Fundamental Theories of Physics, Springer Netherlands, (1993)
G. Sobczyk. Clifford Algebras and their Applications in Mathematical Physics, Volume 47 von Fundamental Theories of Physics, Springer Netherlands, (1992)
M. Lochau, S. Mennicke, H. Baller, und L. Ribbeck. Leveraging Applications of Formal Methods, Verification and Validation. Technologies for Mastering Change, Volume 8802 von Lecture Notes in Computer Science, Springer Berlin Heidelberg, (2014)
A. Rizk, und M. Fidler. In Proc. of the 2nd EuroFGI International Conference on Network Control and Optimization (NETCOOP), Seite 53-61. Springer, (2008)
T. Cogumbreiro, F. Martins, und V. Vasconcelos. Proceedings of Places08 - Programming Language Approaches to Concurrency and Communication-cEntric Software, (2008)
V. Damjanovic. 1st Workshop on Knowledge Reuse and Re-engineering over the Semantic Web (KRRSW 2008), (2008)in conjunction with the 5th European Semantic Web Conference (ESWC 2008), Tenerife, Canary Islands.