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An introduction to the theory of p-adic representations
Category :Algebraic Geometry  Language: clicks: 7
The purpose of this informal article is to introduce the reader to some of the objects and methods of the theory of p-adic representations.
A Modern Course on Curves and Surfaces
Category :Geometry  Language: clicks: 7
Contents: Introduction; What is Geometry ; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral ; Differential Calculus on Inner-Product ; . . . . .
Graph Theory Lessons
Category :Graph Theory  Language: clicks: 8
Graph Theory Lessons in html and java. Contents: # Lesson 1: Null graphs # Lesson 2: Handshaking Lemma # Lesson 3: Isomorphism # Lesson 4: Complete Graphs, Subgraphs # Lesson 5: Regular Graphs # . . . . .
Noncommutative Geometry
Category :Algebraic Geometry  Language: clicks: 10
The correspondence between geometric spaces and commutative algebras is a familiar and basic idea of algebraic geometry. The purpose of this book is to extend this correspondence to the noncommutati . . . . .
Mathematical Methods
Category :General Mathematics  Language: clicks: 10
Contents: Introduction; Vector Calculus; Partial Differential Equations; Fourier Transforms; Matrices; Elementary Analysis ; Ordinary Differential Equations.
An Introduction to Temporal Graphs: An Algorithmic Perspective
Category :Graph Theory  Language: clicks: 11
A emph{temporal graph} is, informally speaking, a graph that changes with time. When time is discrete and only the relationships between the participating entities may change and not the entities the . . . . .
Observers and Splitting Structures in Relativistic Electrodynamics
Category :Thoery of Relativity  Language: clicks: 11
We introduce a relativistic splitting structure as a means to map fields and equations of electromagnetism from curved four-dimensional space-time to three-dimensional observer's space. We focus . . . . .
Foundations of Mathematics I
Category :General Mathematics  Language: clicks: 12
Contents: Computable Functions; Undecidability of Arithmetic; The Real Number System; Informal Set Theory; Axiomatic Set Theory; Topics in Set Theory.
Geometry of Surfaces
Category :Geometry  Language: clicks: 12
Contents: Topology; Riemann Surfaces; Surfaces in R^3; Hyperbolic Geometry.
Mathematics
Category :General Mathematics  Language: clicks: 12
Contents: The Principle of Mathematical Induction; Trigonometric and exponential functions; Differential equations; Introduction to Fourier methods; Sets and functions; Vectors; Abstract algebra ; Qu . . . . .
Modern geometry
Category :Geometry  Language: clicks: 12
Contents: Geometry: Making a Start; Euclidean Parallel Postulate; Non-Euclidean Geometries; Transformations; Inversion.
Geometrical theory of dynamical systems
Category :Dynamical Systems  Language: clicks: 13
This text is a slightly edited version of lecture notes for a course given at ETH, during the Winter term 2000-2001, to undergraduate Mathematics and Physics students.Contents:Chapter 1 - Examples of . . . . .
Sub-Riemannian geometry and Lie groups. Part I
Category :Geometry  Language: clicks: 13
These pages covers expository talks during the seminar "Sub-Riemannian geometry and Lie groups" organised by the author and Tudor Ratiu at the Mathematics Department, EPFL, 2001. However, this is the . . . . .
Foundations of geometry for university students and high-school students
Category :Geometry  Language: clicks: 13
This book is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for deeper learning the elementary geometry. It c . . . . .
Evolutionary games on graphs
Category :Game Theory  Language: clicks: 13
Game theory is one of the key paradigms behind many scientific disciplines from biology to behavioral sciences to economics. In its evolutionary form and especially when the interacting agents are lin . . . . .


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