Unidades Básicas

Black Holes

What is Super symmmetry?

Prémio Nobel Física

• http://www.nobelprize.org/nobel_prizes/physics/laureates/
• 
  
• 

  All Nobel Prizes in Physics

  The Nobel Prize in Physics has been awarded 105 times to 192 Nobel Laureates between 1901 and 2011. John Bardeen is the only Nobel Laureate who has been awarded the Nobel Prize in Physics twice, in 1956 and 1972. This means that a total of 191 individuals have received the Nobel Prize in Physics. Click on the links to get more information.
  
  
  
  

Lei quadrado-cubo

The square-cube law can be stated as follows:

When an object undergoes a proportional increase in size, its new volume is proportional to the cube of the multiplier and its new surface area is proportional to the square of the multiplier.

Represented mathematically:

where  is the original volume,  is the new volume,  is the original length and  is the new length. Which length is used does not matter.

where  is the original surface area and  is the new surface area.

_______________________________________________________________________

Simetria

As leis da Física são altamente simétricas, e cada tipo de simetria está ligado com uma lei de conservação.
Contudo permanecem algumas curiosas assimetrias na natureza...
.
O mundo dentro do espelho é quase, mas não totalmente, igual ao nosso.
._______________________________________________________________________________________

Vector Calculus - Marsden & Tromba (Pdf)

1. La Geometria del Espacio Euclidiano
2. Diferenciacion
3. Funciones con Valores Vectoriales
4. Derivadas de Orden Superior
5. Integrales Dobles
6. Integral Triple
7. Integrales sobre Trayetorias
8. Teorema Integrales
9. Respuestaas
10. Tablas
11. Indices de Materias

Vector Calculus - Marsden & Tromba (slides)

• Chap 1 - Geometria Euclidiana

,

Vector Calculus - Marsden & Tromba ( ppt )

1. THE GEOMETRY OF EUCLIDEAN SPACE
Section 1.1: Vectrors in Two and Three-Dimensional Space
Section 1.2: The Inner product Lenght and Distance
Section 1.3: Matrices, Determinants and The Cross Product
Section 1.4: Cylindrical and Spherical Coordinates
Section 1.5: n-Dimensional Euclidean Space
Section 1.R: Review

2. DIFFERENTIATION SPACE
Section 2.1: The Geometry of Real Value Functions
Section 2.2: Limits and Continuity

Section 2.3: Differentiation

Section 2.4: Introduction to Paths and Curves
Section 2.5: Properties of the Derivative
Section 2.6: Gradients and Directional Derivatives
Section 2.R: Review

3. HIGHER-ORDER DERIVATIVES: MAXIMA AND MINIMA
Section 3.1: Iterated Parcial Derivatives
Section 3.2: Taylor's Theorem
Section 3.3: Extrema of Real-Valued Functions
Section 3.4: Constrained Extrema and Lagrange Multipliers
Section 3.5: The Implicit Function Theorem
Section 3.R: Review

4. VECTOR-VALUED FUNCTIONS
Section 4.1: Acceleration and Newton's Second Law
Section 4.2: Arc Lenght
Section 4.3: Vector Fields
Section 4.4: Divergence and Curl

5. DOUBLE AND TRIPLE INTEGRALS
Section 5.1: Introduction
Section 5.2: The Double Integral Over a Rectangle
Section 5.3: The Double Integral Over More Genral Regions
Section 5.4: Changing the Order of Integration
Section 5.5: The Triple Integral
Section 5.R: Review

6. THE CHANGE OF VARIABLES FORMULA AND APPLICATIONS OF INTEGRATION
Section 6.1: The Geometry of Maps
Section 6.2: The Change of Variables Theorem
Section 6.3: Applications
Section 6.4: Improper Integrals

7. INTEGRALS OVER PATHS AND SURFACES
Section 7.1: The Path Integral
Section 7.2: Line Intergals
Section 7.3: Parametrized Surfaces
Section 7.4: Area of a Surface
Section 7.5: Integrals of Scalar Functions Over Surfaces
Section 7.6: Surface Integrals of Vector Fields
Section 7.7: Applications to Differential Geometry, Physics and Forms of Life

8. THE INTEGRAL THEOREMS OF VECTOR ANALYSIS
Section 8.1: Green's Theorem
Section 8.2: Stokes' Theorem
Section 8.3: Conservative Fields
Section 8.4: Gauss' Theorem
Section 8.5: Some Differential Equations of Mechanics and Technology
Section 8.6: Differential Forms
Section 8.R: Review

Cálculo Infinitesimal

Aulas de Calculo Infinitesimal 2011-2012

Faculdade Ciências Universidade do Porto

• Introdução
• Derivadas - Primitivas
• Integrais
• Teorema
• Taylor

.

Impossible Physics-Beyond-the-edge