MATH 235 B – Probability Theory Lecture Notes , Winter 2011 Dan

Queen ’ s University Mathematics and Engineering and Mathematics and Statistics MATH 335 Mathematics of Engineering System Supplemental Course Notes - Winter 2011

The notes have mainly developed over the past two years at Queen's and are targeted to be comprehensive over the course of teaching. Nonetheless, during the preparation of the notes, some additional resources, in addition to the instructor's lecture notes and discussions with a large group of students at different venues, are particularly acknowledged: Applied Analysis

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These lecture notes were written for MATH 6710 at Cornell University in the Fall semester of 2013. They were revised in the Fall of 2015 and the schedule on the following page re ects that semester. These notes are for personal educational use only and are not to be published or redistributed. Almost all of the material, much of the structure, and some of the language comes directly from the co...

p-adic Galois Representations Math 162b Winter 2012 Lecture Notes

1 Local Class Field Theory 2 1.1 Local fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Newton polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Ramification of local fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Main results of local class field ...

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Some course notes on ergodic theory. These are for Math 7880-1 (“Topics in Probability”), taught at the Deparment of Mathematics at the University of Utah during the Spring semester of 2005. They are constantly being updated and corrected. Read them at your own risk. The authors thanks the National Science Foundation for their continued support. 1

Combinatorial Algorithms Lecture Notes , Winter Term 10 / 11 Humboldt University Berlin