
Around the boundary of complex dynamics
Category :Dynamical Systems
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126
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets a . . . . . 
Lectures on singular stochastic PDEs
Category :Probability Theory
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120
These are the notes for a course at the 18th Brazilian School of Probability held from August 3rd to 9th, 2014 in Mambucaba. The aim of the course is to introduce the basic problems of nonlinear PD . . . . . 
Metric and Topological Spaces
Category :Topology
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327
The syllabus for the course is defined by the Faculty Board Schedules
(which are minimal for lecturing and maximal for examining). What is presented here
contains some results which it would not, in . . . . . 
Combinatorics and algebra of tensor calculus
Category :Calculus
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164
In this paper, motivated by the theory of operads and PROPs we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is descr . . . . . 
Physical Mathematics
Category :Mathematical Physics
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362
The goal of this course is to give a modern introduction to mathematical methods for
solving hard mathematics problems that arise in the sciences — physical, biological
and social. The toolbox of ap . . . . . 
INTRODUCTORY MAP THEORY
Category :Graph Theory
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262
This book contains the following chapters in company with related subjects. In Chapter I, the embedding of a graph on surfaces are much
concerned because they are motivated to building up the theo
r . . . . . 