Introduction To Geometry - H. S. M.Coxeter

Contenido:

Part I
1.- TRIANGLES
2.- REGULAR POLYGONS
3.- ISOMETRY IN THE EUCLIDEAN PLANE
4.- TWO-DIMENSIONAL CRYSTALLOGRAPHY
5.- SIMILARITY IN THE EUCLIDEAN PLANE
6.- CIRCLES AND SPHERES
7.- ISOMETRY AND SIMILARITY IN EUCLIDEAN SPACE

Part II
8.- COORDINATES
9.- COMPLEX NUMBERS
10.- THE FIVE PLATONIC SOLIDS
11.- THE GOLDEN SECTION AND PHYLLOTAXIS

Part III
12.- ORDERED GEOMETRY
13.- AFFINE GEOMETRY
14.- PROJECTIVE GEOMETRY
15.- ABSOLUTE GEOMETRY
16.- HYPERBOLIC GEOMETRY

Part IV
17.- DIFFERENTIAL GEOMETRY OF CURVES
18.- THE TENSOR NOTATION
19.- DIFFERENTIAL GEOMETRY OF SURFACES
20.- GEODESICS
21.- TOPOLOGY OF SURFACES
22.- FOUR-DIMENSIONAL GEOMETRY

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Non-Euclidean Geometry - H. S. M. Coxeter

Contenido:

I - THE HISTORICAL DEVELOPMENT OF NON.EUCLIDEAN GEOMETRY
II - REAL PROJECTIVE GEOMETRY: FOUNDATIONS
III - REAL PROJECTIVE GEOMETRY: POLARITIES, CONICS AND QUADRICS
IV - HOMOGENEOUS COORDINATES
V - ELLIPTIC GEOMETRY IN ONE DIMENSION
VI - ELLIPTIC GEOMETRY IN TWO DIMENSIONS
VII - ELLIPTIC GEOMETRY IN THREE DIMENSIONS

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Elementary Differential Geometry - Barrett O'Neill

Contenido:

I - Calculus on Euclidean Space
II - Frame Fields
III - Euclidean Geometry
IV - Calculus on a Surface
V - Shape Operators
VI - Geometry of Surfaces in E3
VII - Riemannian Geometry

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Representation Theory - A First Course - W. Fulton J. Harris

Representation Theory - A First Course - W. Fulton J. Harris

Contents:
1.- Representations of Finite Groups
2.- Characters
3.- Examples; Induced Representations; Group Algebras; Real Representations
4.- Representations of $: Young Diagrams and Frobenius's
5.- Representations of /I and GL2(Yq)
6.- Weyl's Construction
7.- Lie Groups
8.- Lie Algebras and Lie Groups
9.- Initial Classification of Lie Algebras
10.-Lie Algebras in Dimensions One, Two, and Three
11.- Representations of sl2C
12.- Representations of,sl3C, Part I
13.- Representations of sl3C, Part II: Mainly Lots of Examples
14.- The General Set-up: Analyzing the Structure and Representations of an Arbitrary Semisimpie Lic Algebra
15.- sl4C and slnC
16.- Symplectic Lie Algebras
17.- sp6C and ,sp2, C
18.- Orthogonal Lie Algebras

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A First Course In General Relativity - Bernard F,Schutz

A First Course In General Relativity - Bernard F. Schutz

1.- Special relativity
2.- Vector analysis in special relativity
3.- Tensor analysis in special relativity
4.- Perfect fluids in special relativity
5.- Preface to curvature
6.- Curved manifolds
7.- Physics in a curved spacetime
8.- The Einstein field equations
9.- Gravitational radiation
10.- Spherical solutions for stars
11.- Schwarzschild geometry and black holes
12.- Cosmology

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Lecture Notes on Elementary Topology and Geometry - I. M. Singer, John A. Thorpe

Lecture Notes on Elementary Topology and Geometry - I. M. Singer, John A. Thorpe

Contents:

1.- Some point set Topology
2.- More point set Topology
3.- Fundamental Group and Covering Spaces
4.- Simplicial Complexes
5.- Manifolds
6.- Homology Theory and The De Ram Theory
7.- Intrinsic Riemannian Geometry of Sufaces
8.- Inbedded Manifolds in R3

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The Geometry Of Ordinary Variational Equations - Olga Krupkova

The Geometry Of Ordinary Variational Equations - Olga Krupkova

Table of Contents

1.- INTRODUCTION
2.- BASIC GEOMETRIC TOOLS
3.- LAGRANGEAN DYNAMICS ON FIBERED MANIFOLDS
4.- VARIATIONAL EQUATIONS
5.- HAMILTONIAN SYSTEMS
6.- REGULAR LAGRANGEAN SYSTEMS
7.- SINGULAR LAGRANGEAN SYSTEMS
8.- SYMMETRIES OF LAGRANGEAN SYSTEMS
9.- GEOMETRIC INTEGRATION METHODS
10.- LAGRANGEAN SYSTEMS ON (Pi: R x M ---> R)

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The Topology Problem Solver - Emil G.Milewski

The Topology Problem Solver -A Complete Solution To Any Textbook - Emil G.Milewski

* For Homework, Test Preparation, Exams.
* For use with introductory and advanced texts and courses.
* Includes every type of problem that may be assigned by your instructor or given on a test.
* Each problem worked out in step-by-step detail, enabling you to understand the subject fully.
* Will save you hours of time in finding solutions to problems.

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Cálculo Vectorial - Marsden, J. E. y Tromba, A. J

Cálculo Vectorial - Marsden, J. E. y Tromba, A. J

Contenido
1.- LA GEOMETRÍA DEL ESPACIO EUCLIDIANO
2.- DIFERENCIACIÓN
3.- FUNCIONES CON VALORES VECTORIALES
4.- DERIVADAS DE ORDEN SUPERIOR, MÁXIMOS Y MÍNIMOS
5.- INTEGRALES DOBLES
6.- INTEGRAL TRIPLE, FORMULA DE CAMBIO DE VARIABLES Y APLICACIONES
7.- INTEGRALES SOBRE TRAYECTORIAS Y SUPERFICIES
8.- TEOREMAS INTEGRALES DEL ANÁLISIS VECTORIAL

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Advanced general relativity - John Stewart

Advanced general relativity - John Stewart

Contenido
1.- Differential geometry
2.- Spinors
3.- Asymptopia
4.- The characteristic initial value problem

Descarga: http://www.mediafire.com/?1lwmiwowmee

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Riemannian Geometry - Manfredo do Carmo

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Lie algebras in particle physics - Howard Georgi

Aqui les dejo otro libro para todos aquellos que quieran saber más sobre aplicaciones de las algebras de Lie

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Zero and One

Handbook of Linear Algebra - ed. by Leslie Hogben

Aquí otro más de algebra lineal, este requiere más nivel. Las lecturas son claras y concisas. Recomendable.

Part I Linear Algebra
Basic Linear Algebra
Matrices with Special Properties
Advanced Linear Algebra
Topics in Advanced Linear Algebra
Part II Combinatorial Matrix Theory and Graphs
Matrices and Graphs
Topics in Combinatorial Matrix Theory
Part III Numerical Methods
Numerical Methods for Linear Systems
Numerical Methods for Eigenvalues
Computational Linear Algebra
Part IV Applications
Applications to Optimization
Applications to Probability and Statistics
Applications to Analysis
Applications to Physical and Biological Sciences
Applications to Computer Science
Applications to Geometry
Applications to Algebra
Part V Computational Software
Interactive Software for Linear Algebra
Packages of Subroutines for Linear Algebra

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Algebra Lineal. Stephen Friedberg

Un clásico sobre el Álgebra Lineal. Versión en español.

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Differential Equations, Dynamical Systems, and an Introduction to Chaos - By Morris W. Hirsch, Stephen Smale, and Robert L. Devaney

Este libro es de mis favoritos, una maravilosa introducción a las Ecuaciones Diferenciales, lectura accecible, buenos problemas, además esta escrito por estos tres personajes de los que uno no se escapa de leer. Disfrútenlo.

CHAPTER 1 First-Order Equations
CHAPTER 2 Planar Linear Systems
CHAPTER 3 Phase Portraits for Planar Systems
CHAPTER 4 Classification of Planar Systems
CHAPTER 5 Higher Dimensional Linear Algebra
CHAPTER 6 Higher Dimensional Linear Systems
CHAPTER 7 Nonlinear Systems
CHAPTER 8 Equilibria in Nonlinear Systems
CHAPTER 9 Global Nonlinear Techniques
CHAPTER 10 Closed Orbits and Limit Sets
CHAPTER 11 Applications in Biology
CHAPTER 12 Applications in Circuit Theory
CHAPTER 13 Applications in Mechanics
CHAPTER 14 The Lorenz System
CHAPTER 15 Discrete Dynamical Systems
CHAPTER 16 Homoclinic Phenomena
CHAPTER 17 Existence and Uniqueness Revisited

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