Skip to main content

Flooved

Flooved is an online education platform founded in 2011, that seeks to provide free education to a global audience by providing lecture notes, handouts, and study guides online, beginning with undergraduate mathematics and physics content.



rss RSS

1,514
RESULTS


Show sorted alphabetically

Show sorted alphabetically

SHOW DETAILS
up-solid down-solid
Prior Page
eye
Title
Date Published
Creator
Flooved
texts

eye 120

favorite 0

comment 0

Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1095
Flooved
texts

eye 109

favorite 0

comment 0

In the early sixties Smales realized that many of the ideas of differential topology can be applied to aid in the study of PDEs and as part of this program he showed how to generalize Sard�s theorem to the in�nite dimensional case. First we need to introduce the correct kind of mappings of Banach manifolds.
Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics
Source: http://www.flooved.com/reader/2135
Flooved
texts

eye 85

favorite 0

comment 0

We now address the question: how do we find a code that uses the frequency information about k length patterns efficiently to shorten our message?
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1872
Flooved
texts

eye 186

favorite 0

comment 0

Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
Source: http://www.flooved.com/reader/2721
Flooved
by Lawrence Evans;Mr. J. Edward Ladenburger
texts

eye 182

favorite 0

comment 0

Topics: Physics, Acoustics, Optics and Waves, Electromagnetism and Electromagnetic Radiation, Acoustics�,...
Source: http://www.flooved.com/reader/2901
Flooved
texts

eye 90

favorite 0

comment 0

This document consists of tables only
Topic: Maths
Source: http://www.flooved.com/reader/2953
Flooved
texts

eye 162

favorite 0

comment 0

To describe a problem in mathematical terms, one must make use of the basic laws that govern the elements of the problem. In continuum mechanics, these are the conservation laws for mass and momentum. In addition, empirical constitutive laws are often needed to relate certain unknown variables; examples are equations of state, Hooke�s law between stress and strain, etc. To derive the conservation law one may consider an in�nitesimal element (a line segment, area or volume element), yielding...
Topics: Physics, Special Relativity, General Relativity and Gravitation, Gravitational Waves, Wave...
Source: http://www.flooved.com/reader/2042
Flooved
texts

eye 162

favorite 0

comment 0

In this section we will study the three-dimensional motion of a particle in a central force potential. Such a system obeys the equation of motion (4.1):..., where the potential depends only on r = |x|. Since both gravitational and electrostatic forces are of this form, solutions to this equation contain some of the most important results in classical physics.Our �rst line of attack in solving (4.1) is to use angular momentum.
Topics: Physics, Astronomy and Astrophysics�, Classical Mechanics, Solar System, Planetology, Classical...
Source: http://www.flooved.com/reader/2815
Flooved
texts

eye 100

favorite 0

comment 0

Now say that X is a set, R is a ring of subsets and we have a function � : R _ [0, �). This is the �measure�, what we�re looking for. One of the properties we need for this function is additivity : �(A _ B) = �(A) + �(B), if A, B _ R, A _ B = _ From just this property we can derive a number of properties about �....
Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics
Source: http://www.flooved.com/reader/1498
Flooved
by Daniel H. Rothman
texts

eye 166

favorite 0

comment 0

To introduce dynamical systems, we begin with one of the simplest: a free oscillator. Speci�cally, we consider an unforced, undamped pendulum.
Topics: Maths, Dynamics and Relativity, Dynamical Systems, Mathematics
Source: http://www.flooved.com/reader/1842
Flooved
texts

eye 125

favorite 0

comment 0

In principle, we could now proceed with the Ansatz for |__ and employ a variational analysis. However, instead, we will make use of this Ansatz to develop an approximation scheme to expand the second quantised BCS Hamiltonian. Indeed, such an approach will lead to the same phenomenology.
Topic: Maths
Source: http://www.flooved.com/reader/3062
Flooved
by Jeff Viaclovsky
texts

eye 92

favorite 0

comment 0

We started from a weak solution which need not be a function and using our theory we are able to show it behaves well and is in fact smooth! We will make this discussion precise in the sequel.
Topics: Maths, Analysis and Calculus, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/995
Flooved
by Lawrence Evans;Mr. J. Edward Ladenburger
texts

eye 185

favorite 1

comment 0

Kepler�s laws Explanations of the motion of the celestial bodies � sun, moon, planets and stars � are among the oldest scienti�c theories. The apparent rotation of these bodies around the earth every day was attributed by the ancients to their place in "celestial spheres" which revolved daily around the stationary earth, assumed to be at the center of the universe.
Topics: Physics, Physics
Source: http://www.flooved.com/reader/2887
Flooved
texts

eye 121

favorite 0

comment 0

Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2056
Flooved
by Albert R. Meyer
texts

eye 108

favorite 0

comment 0

Suppose that we �ip two fair coins simultaneously on opposite sides of a room. Intuitively, the way one coin lands does not affect the way the other coin lands. The mathematical concept that captures this intuition is called independence:
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1749
The main goal of this section is to give a formula in terms of _A(t) for r(A) and b(A) when K = R (Theorem 2.5). We �rst establish recurrences for these two quantities.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/982
Flooved
texts

eye 84

favorite 0

comment 0

Topics: Maths, Analysis and Calculus, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1006
Flooved
texts

eye 96

favorite 0

comment 0

Topic: Maths
Source: http://www.flooved.com/reader/1034
Flooved
by Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis
texts

eye 105

favorite 0

comment 0

Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1402
Flooved
texts

eye 109

favorite 0

comment 0

We discuss the existence and uniqueness for second-order linear differential equations with constant coef�cients by means of general principles which are valid for equations with variable coef�cients. We develop techniques of the Wronskian and apply to study the oscillatory behavior. We also give qualitative results which depend on conditions at an interior maximum and minimum and apply to second-order equations.
Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1561
Flooved
by John Lewis;Arthur Mattuck;Haynes Miller;Jeremy Orloff
texts

eye 104

favorite 0

comment 0

Poincare-Bendixson Theorem: Suppose R is the �nite region of the plane lying between two simple closed curves D1 and D2, and F is the velocity vector �eld for the system (1).
Topics: Maths, Differential Equations (ODEs & PDEs), Dynamics and Relativity, Dynamics and Relativity,...
Source: http://www.flooved.com/reader/1427
Flooved
texts

eye 86

favorite 0

comment 0

Riemann integral. If s is simple and measurable then ... where ...
Topics: Maths, Analysis and Calculus, Analysis, Integration, Mathematics
Source: http://www.flooved.com/reader/1796
Flooved
texts

eye 81

favorite 0

comment 0

The Matroid matching Problem: Given a matroid M = (S, I), let E be a set of pairs on S.
Topics: Maths, Optimization and Control, Optimization, Mathematics
Source: http://www.flooved.com/reader/1929
Flooved
by Louis Scharf
texts

eye 352

favorite 0

comment 0

This module is part of the collection, A First Course in Electrical and Computer Engineering. The LaTeX source files for this collection were created using an optical character recognition technology, and because of this process there may be more errors than usual.
Topics: Maths, Linear Algebra and Geometry, Algebra, Vectors and Matrices, Linear Algebra, Mathematics
Source: http://www.flooved.com/reader/1669
Flooved
texts

eye 100

favorite 0

comment 0

We continue the discussion of how a 2k-edge-connected graph can be oriented so that the resulting digraph is k-arc-connected. Last time we have seen that this can be achieved using submodular �ows. Today we present a di_erent approach, which relates the problem to matroid intersection.
Topics: Maths, Optimization and Control, Optimization, Mathematics
Source: http://www.flooved.com/reader/1934
Flooved
texts

eye 130

favorite 0

comment 0

Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2196
Flooved
texts

eye 68

favorite 0

comment 0

1. Pseudoholomorphic Curves ...
Topics: Maths, Linear Algebra and Geometry, Geometry, Mathematics
Source: http://www.flooved.com/reader/1980
Flooved
texts

eye 133

favorite 0

comment 0

In this unit, we describe a more intricate version of the sieve of Eratosthenes, introduced by Viggo Brun in order to study the Goldbach conjecture and the twin prime conjecture. It is most useful for providing lower bounds; for upper bounds, the Selberg sieve (to be introduced in the following unit) is much less painful.
Topics: Maths, Algebra, Number Theory, Mathematics
Source: http://www.flooved.com/reader/2079
Flooved
texts

eye 385

favorite 0

comment 0

In this section we use a more elementary approach using the Klein Gordon equation. Each component of the Dirac/Weyl spinor obeys separately also the Klein Gordon equation. To show this �rst we start of with the Dirac equation.
Topic: Maths
Source: http://www.flooved.com/reader/2677
Flooved
texts

eye 105

favorite 0

comment 0

1. Homeomorphism Classification of Simply Connected Compact 4-Manifolds...
Topics: Maths, Linear Algebra and Geometry, Linear Algebra, Geometry, Geometry of Manifolds, Complex...
Source: http://www.flooved.com/reader/2119
Flooved
texts

eye 76

favorite 0

comment 0

Let (M, _, J) be a compact K�hler manifold, .... Then we can �nd a line bundle L_M with �rst Chern class ...
Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics
Source: http://www.flooved.com/reader/2112
Flooved
by Tom Marsh
texts

eye 160

favorite 0

comment 0

These notes mostly show the essentials of the lectures, i.e. what I write on the board. The exception to the rule is when I write pieces of text like this (outside of the examples). These represent information that I may have said but not written during lectures. I use them when I think it would help you follow the notes. The notes are very terse, and brief to the point of grammatical inaccuracy.This is because they are notes and are not intended to replace books. I make them available in case...
Topic: Maths
Source: http://www.flooved.com/reader/2983
Flooved
by Prof. P.D. Magnus
texts

eye 443

favorite 2

comment 0

forall x is an open access introductory textbook in formal logic. It covers translation, proofs, and formal semantics for sentential and predicate logic.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3495
Flooved
texts

eye 111

favorite 0

comment 0

We will be discussing �compact operators� later, so we need some sort of idea of com_pactness. This is what the following theorem provides.
Topics: Maths, Topology and Metric Spaces, Differential Equations (ODEs & PDEs), Compact Spaces,...
Source: http://www.flooved.com/reader/1481
Flooved
texts

eye 110

favorite 0

comment 0

Until Weierstrass published his shocking paper in 1872, most of the mathematical world (including luminaries like Gauss) believed that a continuous function could only fail to be differentiable at some collection of isolated points. In fact, it turns out that �most� continuous functions are non-differentiable at all points. (To understand what this statement could mean, you should take courses in topology and measure theory.) However, Weierstrass was not, in fact, the �rst to construct...
Topics: Maths, Analysis and Calculus, Mathematics
Source: http://www.flooved.com/reader/1197
Flooved
texts

eye 270

favorite 0

comment 0

Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics
Source: http://www.flooved.com/reader/1488
In the previous class, we have introduced various concepts necessary for the study of EM waves in photonic crystal structures. We shall now use these concepts to explain various results such as: � Reconstruction of the permittivity pro�le. � The band diagrams for rectangular and triangular lattices. � k-surfaces for various eigenvalues. In particular, we will show an example of how a periodic structure can exhibit k-surfaces typicalof a negative refraction material (the concept of...
Topics: Physics, Acoustics, Optics and Waves, Electromagnetism and Electromagnetic Radiation, Waves,...
Source: http://www.flooved.com/reader/2572
Flooved
texts

eye 110

favorite 0

comment 0

One of the most important aspects of linear programming is the duality theorem. Let�s consider a linear program in the standard form we talked about last time.
Topics: Maths, Optimization and Control, Optimization, Linear Programming, Slack Variables, Primal Simplex...
Source: http://www.flooved.com/reader/1877
Flooved
texts

eye 219

favorite 0

comment 0

The aim of this section is to introduce the language and machinery of classical and quantum �eld theory through its application to the problem of lattice vibrations in a solid. In doing so, we will become acquainted with the notion of symmetry breaking, universality, elementary excitations and collective modes � concepts which will pervade much of thecourse.
Topics: Physics, Condensed Matter, Particle Physics and Fields, Quantum Physics, General Theory of Fields...
Source: http://www.flooved.com/reader/3048
Flooved
texts

eye 138

favorite 0

comment 0

Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics
Source: http://www.flooved.com/reader/1491
Flooved
texts

eye 136

favorite 0

comment 0

we show that the spherical representation z _ Z is conformal. This means that if l and m are two lines in the plane intersecting in z at an angle _, then the corresponding circles C and D through N and Z intersect Z at the same angle _
Topics: Maths, Analysis and Calculus, Complex Analysis, Mathematics
Source: http://www.flooved.com/reader/1504
Flooved
texts

eye 79

favorite 0

comment 0

1 Multi�ows and Disjoint Paths - Let G = (V,E) be a graph and let...
Topics: Maths, Optimization and Control, Optimization, Mathematics
Source: http://www.flooved.com/reader/1936
Flooved
texts

eye 117

favorite 0

comment 0

In this chapter we shall treat two types of extended inhomogeneities: (i) periodic and (ii) random.
Topics: Physics, Special Relativity, General Relativity and Gravitation, Gravitational Waves, Wave...
Source: http://www.flooved.com/reader/2046
Flooved
texts

eye 109

favorite 0

comment 0

With the foregoing preparation, we are now in a position to apply the classical analogy orcanonical quantization program to achieve the second quantization of theelectromagnetic field. As our starting point and for reference, we, once again, set forth the vacuum or microscopic Maxwell's equations in the time domain...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
Source: http://www.flooved.com/reader/2990
This appendix builds on the formulation presented in Review of Basic Quantum Mechanics: Dynamic Behavior of Quantum Systems, Section II of the lecture notes entitled The Interaction of Radiation and Matter: Semiclassical Theory (hereafterreferred to as IRM:ST) to obtain explicit and reasonably general expressions forradiative transition rates.
Topics: Physics, Acoustics, Optics and Waves, Electromagnetism and Electromagnetic Radiation, Quantum...
Source: http://www.flooved.com/reader/2988
Flooved
by Frederique Oggier;Alfred Bruckstein
texts

eye 436

favorite 0

comment 0

These notes were designed to �t the syllabus of the course �Groups and Symmetries�, taught at Nanyang Technological University in autumn 2012, and 2013.
Topic: Maths
Source: http://www.flooved.com/reader/3394
Flooved
by Prof. Peter J. Cameron
texts

eye 469

favorite 1

comment 0

The original course was largely based on continued fractions: this technique is very amenable to hand calculation, and can be used to solve Pell�s equation, to write an integer as a sum of squares where this is possible, and to classify the inde�nite binary quadratic forms. This is still the centrepiece of the course, but I have given alternate treatment of sums of squares.
Topic: Mathematics
Source: http://www.flooved.com/reader/3516
Flooved
by Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis
texts

eye 152

favorite 0

comment 0

This is meant as a follow-up on the review of vectors and matrices in the previous session.
Topics: Maths, Linear Algebra and Geometry, Vectors and Matrices, Linear Algebra, Linear Independence,...
Source: http://www.flooved.com/reader/1458
Flooved
texts

eye 81

favorite 0

comment 0

In this unit, we introduce (without proof for now) a formula which relates the distribution of primes to the zeroes of the Riemann zeta function. Given a suitable zero-free region for _(s) in the critical strip, this can be used to prove the prime number theorem with an estimate for the error term.
Topics: Maths, Algebra, Number Theory, Mathematics
Source: http://www.flooved.com/reader/2083
Flooved
texts

eye 131

favorite 0

comment 0

Hartshorne only treats �atness after cohomology (so see III.9) and doesn�t talk about descent at all. The EGA reference for �atness is EGA IV, part 2, �2. I�m not sure if descent is discussed at all in EGA, so I gave references to SGA 1 instead.
Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2060
Flooved
texts

eye 106

favorite 0

comment 0

Let M1 = (S, I1), M2 = (S, I2) be two matroids on common ground set S with rank functions r1 and r2. Many combinatorial optimization problems can be reformulated as the problem of �nding the maximum size common independent set ..
Topics: Maths, Optimization and Control, Optimization, Mathematics
Source: http://www.flooved.com/reader/1924
Flooved
texts

eye 202

favorite 0

comment 0

A cycle in a digraph is de�ned by a path that begins and ends at the same vertex. This includes the cycle of length zero that begins and ends at the vertex. A directed acyclic graph (DAG) is a directed graph with no positive length cycles.
Topics: Maths, Logic, Numbers and Set Theory, Graph Theory, Posets and Zorn�s Lemma, Set Theory,...
Source: http://www.flooved.com/reader/1725
Flooved
texts

eye 102

favorite 0

comment 0

Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2207
Flooved
texts

eye 126

favorite 0

comment 0

Topics: Maths, Statistics and Probability, Statistics, Mathematics
Source: http://www.flooved.com/reader/2161
Flooved
by James Nearing
texts

eye 384

favorite 0

comment 0

In�nite series are among the most powerful and useful tools that you�ve encountered in your introductory calculus course. It�s easy to get the impression that they are simply a clever exercise in manipulating limits and in studying convergence, but they are among the majors tools used in analyzing di_erential equations, in developing methods of numerical analysis, in de�ning new functions, in estimating the behavior of functions, and more.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/2929
Flooved
texts

eye 91

favorite 0

comment 0

Topics: Maths, Statistics and Probability, Statistics, Mathematics
Source: http://www.flooved.com/reader/2155
Flooved
texts

eye 83

favorite 0

comment 0

Topics: Maths, Statistics and Probability, Statistics, Estimation Techniques, Maximum Likelihood...
Source: http://www.flooved.com/reader/2170
Flooved
by Mr. Travis Byington;Lawrence Evans;Mr. Ryan Magee;Hao Zhang
texts

eye 253

favorite 1

comment 0

Superposition of Harmonic Waves- The essential characteristic of energy transport by waves is that waves obey the superposition principle. This means that two waves in the same spatial region can interfere, rearranging the energy in space in a pattern often quite different from that of either wave alone. Since light propagates as a wave, we will analyze this phenomenon.We begin with a mathematical problem: How do we �nd the wave function for the combined wave resulting from interference of...
Topics: Physics, Acoustics, Optics and Waves, Optics�, Waves, Wave Optics, Interference and Coherence,...
Source: http://www.flooved.com/reader/2918
Flooved
by Max Tegmark
texts

eye 195

favorite 0

comment 0

Topics: Lorentz transformations toolbox � � formula summary � inverse � composition (v addition) � boosts as rotations � the invariant � wave 4-vector � velocity 4-vector � aberration � Doppler e_ect � proper time under acceleration � calculus of variations � metrics, geodesics Implications� � Time dilation � Relativity of simultaneity, non-syncronization � Length contraction � c as universal speed limit � Rest length, proper time
Topic: Maths
Source: http://www.flooved.com/reader/3110
Flooved
texts

eye 125

favorite 0

comment 0

The aim of this lecture is to explore the nature of the ground state and the character of the elementary excitation spectrum in the condensed phase.
Topics: Physics, Condensed Matter, Particle Physics and Fields, Quantum Physics, General Theory of Fields...
Source: http://www.flooved.com/reader/3069
Flooved
by Max Tegmark
texts

eye 234

favorite 0

comment 0

Topic: Maths
Source: http://www.flooved.com/reader/3106
Flooved
by Max Tegmark
texts

eye 316

favorite 0

comment 0

Topics: Important particles � Nuclear physics terminology � Rest mass & binding energy � Photons � Particle physics processes � Examples: photon emission & absorbtion � Example: Compton scattering
Topics: Physics, Nuclear, Atomic and Molecular Physics, Particle Physics and Fields, Nuclear Physics,...
Source: http://www.flooved.com/reader/3108
Flooved
texts

eye 124

favorite 0

comment 0

As we have seen, the Fock or number states....are complete set eigenstates of an important group of commuting observables...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
Source: http://www.flooved.com/reader/3005
Flooved
by Elizabeth Stanway
texts

eye 216

favorite 0

comment 0

Objectives: � To introduce the stress�energy tensor � Conservation laws in relativity
Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,...
Source: http://www.flooved.com/reader/3154
Flooved
by Peter Ouwehand
texts

eye 531

favorite 4

comment 0

Topic: Maths
Source: http://www.flooved.com/reader/3378
Flooved
texts

eye 570

favorite 1

comment 0

Topic: Maths
Source: http://www.flooved.com/reader/3386
Flooved
texts

eye 116

favorite 0

comment 0

Topics: Maths, Analysis and Calculus, Complex Analysis, Mathematics
Source: http://www.flooved.com/reader/1513
Flooved
texts

eye 172

favorite 0

comment 0

Arithmetic functions, the Mobius�function
Topics: Maths, Algebra, Number Theory, Mathematics
Source: http://www.flooved.com/reader/1119
Flooved
texts

eye 289

favorite 1

comment 0

Topics: Maths, Logic, Numbers and Set Theory, Analysis and Calculus, Countability and Uncountability,...
Source: http://www.flooved.com/reader/1273
Flooved
by Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis
texts

eye 178

favorite 0

comment 0

The fundamental matrix _(t) also provides a very compact and ef�cient integral formula for a particular solution to the inhomogeneous equation x' = A(t)x + F(t). (presupposing of course that one can solve the homogeneous equation x' = A(t)x �rst to get _.) In this short note we give the formula (with proof!) and one example.
Topics: Maths, Differential Equations (ODEs & PDEs), Ordinary Differential Equations (ODEs), Linear...
Source: http://www.flooved.com/reader/1400
Flooved
texts

eye 248

favorite 0

comment 0

1. K�hler Geometry
Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics
Source: http://www.flooved.com/reader/2108
Flooved
texts

eye 222

favorite 0

comment 0

Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism, Physics
Source: http://www.flooved.com/reader/2719
Flooved
by R. Mainieri;Predrag Cvitanovi�c;E.A. Spiegel
texts

eye 112

favorite 0

comment 0

We define a dynamical system (M, f) and classify its solutions as equilibria, periodic, and aperiodic. An �aperiodic� solution is either �wandering� or belongs to a non�wandering set, which in turn can be decomposed into chain-recurrent sets. Various cases are illustrated with concrete examples, such as the Rossler and Lorenz systems.
Topics: Physics, Quantum Physics, Quantum Mechanics, Physics
Source: http://www.flooved.com/reader/2738
Flooved
texts

eye 137

favorite 0

comment 0

Topics: Maths, Linear Algebra and Geometry, Differential Equations (ODEs & PDEs), Vectors and Matrices,...
Source: http://www.flooved.com/reader/1580
Flooved
by Fredrik Jonsson
texts

eye 216

favorite 0

comment 0

In this lecture, we will focus on examples of electromagnetic wave propagation in nonlinear optical media, by applying the forms of Maxwell�s equations as obtained in the eighth lecture to a set of particular nonlinear interactions as described by the previously formulated nonlinear susceptibility formalism. The outline for this lecture is:� What are solitons?� Basics of soliton theory� Spatial and temporal solitons� The mathematical equivalence between spatial and temporal...
Topics: Physics, Acoustics, Optics and Waves, Electromagnetism and Electromagnetic Radiation, Optics�,...
Source: http://www.flooved.com/reader/2972