MATHS ALIVE, POPULAR MATHS

Topics: MATHS ALIVE, POPULAR MATHS

ACTIVITY MATHS, MATHS PROJECTS

Topics: ACTIVITY MATHS, MATHS PROJECTS

MATHS, POPULAR MATHS, ENGLISH

Topics: MATHS, POPULAR MATHS, ENGLISH

96
96

Nov 14, 2013
11/13

by
Katrin Wehrheim

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The idea is, a real number is a sequence of rational ap_proximations. But we have to be careful since, as we saw above, very different sequences of rational numbers can equally well approximate the same real number. To take care of this ambiguity, we will have to de�ne real numbers as sets of rational approximating sequences, all with the same tail behaviour. To make this precise, the following section contains precise de�nitions and some theorems which we will need to set out the formal...

Topic: Maths

Source: http://www.flooved.com/reader/1272

250
250

Nov 14, 2013
11/13

by
Paul Tod;Lionel Mason

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Introduction: The solution of problems in most parts of applied mathematics and some areas of pure can more often than not be reduced to the problem solving some di_erential equations. Furthermore, many parts of pure maths were originally motivated by issues arising from di_erential equations, including large parts of algebra and much of analysis. From Mods, and even from school, you now know how to solve some di_erential equations. In this course, we shall learn to solve a much larger variety...

Topic: Maths

Source: http://www.flooved.com/reader/1847

118
118

Nov 14, 2013
11/13

by
Albert R. Meyer

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An indicator random variable is a random variable that maps every outcome to either 0 or 1. Indicator random variables are also called Bernoulli variables.

Topic: Maths

Source: http://www.flooved.com/reader/1765

69
69

Nov 14, 2013
11/13

by
Jerry Griffiths

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In this chapter we will consider only vacuum solutions. This will enable us to continue to concentrate on the collision of gravitational waves. Various techniques will be discussed here, and the main solutions that have been obtained using them will be described in the next chapter. Many techniques are also known by which solutions of the Einstein�Maxwell equations, and other non-vacuum solutions, can be generated from known vacuum solutions. These will be discussed later in Chap-ter 15.

Topic: Maths

Source: http://www.flooved.com/reader/2786

162
162

Nov 14, 2013
11/13

by
Igor Vilfan

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In this Chapter we will discuss models that can be described by classical statistical mechanics. We will concentrate on the classical spin models which are used notonly to study magnetism but are valid also for other systems like binary alloys or lattice gases.

Topic: Maths

Source: http://www.flooved.com/reader/2955

128
128

Nov 14, 2013
11/13

by
Fredrik Jonsson

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In this lecture, the electric polarisation density of the medium is �nally inserted into Maxwell�sequations, and the wave propagation properties of electromagnetic waves in nonlinear optical media is for the �rst time in this course analysed. As an example of wave propagation in nonlinear optical media, the optical Kerr e_ect is analysed for in�nite plane continuous waves.The outline for this lecture is:� Maxwells equations (general electromagnetic wave propagation)� Time dependent...

Topic: Maths

Source: http://www.flooved.com/reader/2981

111
111

Nov 14, 2013
11/13

by
Ben Simons

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Partition Function of ideal (Non-Interacting) Gas of Quantum Particles Useful for �normalisation� of interacting theories

Topic: Maths

Source: http://www.flooved.com/reader/3055

170
170

Nov 14, 2013
11/13

by
Vladan Vuletic

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To develop some more insight into interference, and the correlations between quantum system and (classical) apparatus that lie at the heart of the quantum measurement problem, we will postulate rules on how the interference pattern is formed, and how photon scattering changes the electron�s wavefunction.

Topic: Maths

Source: http://www.flooved.com/reader/3101

158
158

Nov 14, 2013
11/13

by
Peter Dourmashkin

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So far we have analyzed the motion of point-like bodies under the action of forces using Newton�s Laws of Motion. We shall now introduce the Principle of Conservation of Energy to study the changes in energy of a system between an initial state and final state. In particular we shall introduce the concept of potential energy to describe the effect of conservative internal forces acting on the constituent components of a system.

Topic: Maths

Source: http://www.flooved.com/reader/3293

164
164

Nov 14, 2013
11/13

by
Nikos Drakos

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Topic: Maths

Source: http://www.flooved.com/reader/3254

165
165

Nov 14, 2013
11/13

by
Peter Ouwehand

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Topic: Maths

Source: http://www.flooved.com/reader/3379

85
85

Nov 14, 2013
11/13

by
Emma Carberry

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Topic: Maths

Source: http://www.flooved.com/reader/1108

179
179

Nov 14, 2013
11/13

by
Mr. Travis Byington;Lawrence Evans;Mr. Ryan Magee;Hao Zhang

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We begin our discussion with magnetic �elds that are static, i.e., independent of time. The �eld is de�ned by its effect on a moving point charge. Then we discuss steady currents as sources of magnetic �elds, exploring some useful and important special con�gurations of currents. Later on we will discuss another important source of magnetic �elds, an electric �eld that is changing with time.

Topic: Maths

Source: http://www.flooved.com/reader/2912

160
160

Nov 14, 2013
11/13

by
Lawrence Evans;Mr. J. Edward Ladenburger

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Rigid bodies To a good approximation, a solid object behaves like a perfectly rigid body, in which each particle maintains a �xed spatial relationship to the other particles. This is an approximation, because in a real object the atoms actually oscillate about their average "equilibrium" positions in thermal motions. Here we will ignore these oscillations. The motion of a rigid body, like that of any system of particles, consists of two parts: motion of the CM and motion relative to...

Topic: Maths

Source: http://www.flooved.com/reader/2893

430
430

Nov 14, 2013
11/13

by
Igor Vilfan

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The lectures cover classical and quantum statistical mechanics with some emphasis on classical spin systems. I give also an introduction to Bose condensation and super�uidity but I do not discuss phenomena speci�c to Fermi particles, being covered by other lecturers.

Topic: Maths

Source: http://www.flooved.com/reader/3275

172
172

Nov 14, 2013
11/13

by
Thomas Ward

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Objectives: (1) Deeper understanding of basic properties of sequences: sandwich theorem, nested interval theorem. (2) Axiom of completeness is equivalent to the statement �every bounded non�increasing sequence converges�.(3) An overview of the problems arising in trying to do �calculus�. (4) Precise de�nition of continuity, and how it accords with intuitive ideas.

Topic: Maths

Source: http://www.flooved.com/reader/3404

1,591
1.6K

Nov 14, 2013
11/13

by
Peter Ouwehand

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These notes began as notes for a course called �Computability and Mathematical Linguistics� taught at McGill University for about 25 years, beginning in 1974. It was quite successful, but after Professor Lambek and I retired, there was no one who was su_ciently interested in teaching the course as designed and it eventually disappeared. There was a proposal to add quite a bit of logic to the notes and publish it jointly with Phil Scottand me, but this project never much went beyond putting...

Topic: Maths

Source: http://www.flooved.com/reader/3382

138
138

Nov 14, 2013
11/13

by
Jared Speck

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We will be studying functions u = u(x^1, x^2, � � � , x^n) and their partial derivatives. Here x^1, x^2, � � � , x^n are standard Cartesian coordinates on Rn. We sometimes use the alternate notation u(x, y), u(x, y, z),etc. We also write e.g. u(r, _, _) for spherical coordinates on R3, etc. We sometimes also have a �time� coordinate t, in which case t, x1, � � � , xn denotes standard Cartesian coordinates on R^(1+n). We also use the alternate notation...

Topic: Maths

Source: http://www.flooved.com/reader/1599

ebook mathms.

favoritefavoritefavoritefavoritefavorite ( 2 reviews )

Topic: maths

740
740

Nov 14, 2013
11/13

by
Richard Fitzpatrick

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These lecture notes are designed to accompany a lower-division college survey course covering electricity, magnetism, and optics. Students are expected to be familiar with calculus and elementary mechanics.

Topic: Maths

Source: http://www.flooved.com/reader/2861

183
183

Nov 14, 2013
11/13

by
Peter Dourmashkin

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Topic: Maths

Source: http://www.flooved.com/reader/3305

145
145

Nov 14, 2013
11/13

by
Max Tegmark

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Topics: Formula summary � Momentum & energy � Acceleration & force (optional) � Transformation of force (optional) � Transformation of acceleration (optional)

Topic: Maths

Source: http://www.flooved.com/reader/3109

This book was set in 10/12 TimesTen-Roman at MPS Limited, a Macmillan Company, and printed and bound by R. R. Donnelley (Jefferson City). The cover was printed by R. R. Donnelley (Jefferson City). Founded in 1807. John Wiley & Sons, Inc. has been a valued source of knowledge and understanding for more than 200 years, helping people around the world meet their needs and fulfiᑹ their aspirations. Our company is built on a foundatin of principles that include responsibility to the...

Topic: Maths

(2012 edition),solution manual

Topic: Maths

188
188

Nov 14, 2013
11/13

by
Igor Vilfan

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Some typical results of MC simulations of a d = 2 Ising ferromagnet are shownin Fig. 4.9. At high T (T = 2TC), there is only short-range order, the spins form small clusters. The correlation length (approximately equal to the linear size of the largest cluster) is small. Close (but above) TC, somewhat larger patches in which most of the spins are lined up in the same direction begin to develop. ...

Topic: Maths

Source: http://www.flooved.com/reader/2958

185
185

Nov 14, 2013
11/13

by
Joel Kamnitzer

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Topic: Maths

Source: http://www.flooved.com/reader/3400

519
519

Nov 14, 2013
11/13

by
Sean M. Carroll

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These notes represent approximately one semester�s worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein�s equations, and three applications: gravitational radiation, black holes, and cosmology.

Topic: Maths

Source: http://www.flooved.com/reader/2959

140
140

Nov 14, 2013
11/13

by
David Tong

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In this section we �nally get to quantum electrodynamics (QED), the theory of light interacting with charged matter. Our path to quantization will be as before: we start with the free theory of the electromagnetic �eld and see how the quantum theory gives rise to a photon with two polarization states. We then describe how to couple the photon to fermions and to bosons.

Topic: Maths

Source: http://www.flooved.com/reader/2966

108
108

Nov 14, 2013
11/13

by
Jerry Griffiths

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It has been seen that singularities inevitably occur in the solutions describing the interaction region of colliding plane waves. Using the line element (6.20), we have in this region...

Topic: Maths

Source: http://www.flooved.com/reader/2803

209
209

Nov 14, 2013
11/13

by
David Tong

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In this section we will describe the Dirac equation, whose quantization gives rise to fermionic spin 1/2 particles. To motivate the Dirac equation, we will startby studying the appropriate representation of the Lorentz group.

Topic: Maths

Source: http://www.flooved.com/reader/3078

355
355

Nov 14, 2013
11/13

by
Benjamin McKay

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This course proves Stokes�s theorem, starting from a background of rigorous calculus. Chapters 9 and 10 of Rudin [6] cover the same ground we will, as does Spivak [7] and Hubbard and Hubbard [4]. I encourage you to read those books. All of them, including these notes, are attempts to rewrite Milnor�s little book [5], and try to lead up to Bott and Tu [2] and Guillemin and Pollack [3]. There is one abstract idea in this book: differential forms. Let�s consider 5 motivations for pursuing...

Topic: Maths

Source: http://www.flooved.com/reader/3387

1,176
1.2K

Nov 14, 2013
11/13

by
James S. Milne

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The �rst version of these notes was written for a �rst-year graduate algebra course. As in most such courses, the notes concentrated on abstract groups and, in particular, on �nite groups.

Topic: Maths

Source: http://www.flooved.com/reader/3425

1,389
1.4K

Nov 14, 2013
11/13

by
James S. Milne

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These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, and not just subvarieties of af�ne and projective space. This approach leads more naturally into scheme theory.

Topic: Maths

Source: http://www.flooved.com/reader/3426

1,300
1.3K

Nov 14, 2013
11/13

by
David Joyner

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Roughly speaking, a differential equation is an equation involving the derivatives of one or more unknown functions. In calculus (differential, integral and vector), you�ve studied ways of analyzing functions. You might even have been convinced that functions you meet in applications arise naturally from physical principles. As we shall see, differential equations arise naturally from general physical principles. In many cases, the functions you met in calculus in applications to physics were...

Topic: Maths

Source: http://www.flooved.com/reader/3440

311
311

Nov 14, 2013
11/13

by
David Joyner

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Extensive class notes for a Capstone course taught Spring 2006-2007. Examples using SAGE illustrate the computations and are given throughout.

Topic: Maths

Source: http://www.flooved.com/reader/3436

103
103

Nov 14, 2013
11/13

by
John Lewis;Arthur Mattuck;Haynes Miller;Jeremy Orloff

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Topic: Maths

Source: http://www.flooved.com/reader/1394

115
115

Nov 14, 2013
11/13

by
Predrag Cvitanovi?;E.A. Spiegel

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This chapter (which reader can safely skip on the �rst reading) is about noise, how it a_ects classical dynamics, and the ways it mimics quantum dynamics.

Topic: Maths

Source: http://www.flooved.com/reader/2745

163
163

Nov 14, 2013
11/13

by
Lawrence Evans;Mr. J. Edward Ladenburger

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In the following sections we will treat macroscopic systems that are in thermal equilibrium. Most of our discussion will center on the behavior of gases. We will use appropriate macroscopic variables, some of which are already familiar, such as density, volume and pressure. We will usually assume the CM of the system is at rest, and that molecular velocities are randomly distributed as to direction, so there is no bulk �ow or velocity �eld to consider. There may be energy (kinetic or...

Topic: Maths

Source: http://www.flooved.com/reader/2898

141
141

Nov 14, 2013
11/13

by
David Tong

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The goal of response theory is to �gure out how a system reacts to outside in�uences. These outside in�uences are things like applied electric and magnetic �elds, or applied pressure or an applied driving force due to some guy sticking a spoon into a quantum liquid and stirring. ...

Topic: Maths

Source: http://www.flooved.com/reader/2944

155
155

Nov 14, 2013
11/13

by
Ben Simons

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In the �nal section of the course, we will explore a pairing instability of the electron gas which leads to condensate formation and the phenomenon of superconductivity.

Topic: Maths

Source: http://www.flooved.com/reader/3061

159
159

Nov 14, 2013
11/13

by
Peter Dourmashkin

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We shall introduce a vector operation, called the �dot product� or �scalar product� that takes any two vectors and generates a scalar quantity (a number). We shall see that the physical concept of work can be mathematically described by the dot product between the force and the displacement vectors.

Topic: Maths

Source: http://www.flooved.com/reader/3312

322
322

Nov 14, 2013
11/13

by
Jonny Evans

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This course is an introduction to some of the most ingenious ideas in 18th century mathematics. The course is divided into two parts. In the �rst part we will see how to turn some natural physical and geometric problems into di_erential equations. The second part of the course will develop techniques to solve some partial di_erential equations.

Topic: Maths

Source: http://www.flooved.com/reader/3367

6
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maths-CRGR dumped with WikiTeam tools.

Topics: wiki, wikiteam, wikispaces, maths-CRGR, maths-crgr, maths-crgr.wikispaces.com

143
143

Nov 14, 2013
11/13

by
John Howard

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Topic: Maths

Source: http://www.flooved.com/reader/2700

174
174

Nov 14, 2013
11/13

by
Gilbert Strang

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Here is another good ordering, di_erent from minimum degree. Graphs or meshes are often separated into disjoint pieces by a cut. The cut goes through a small number of nodes or meshpoints (a separator). It is a good idea to number the nodes in the separator last. Elimination is relatively fast for the disjoint pieces P and Q. It only slows down at the end, for the (smaller) separator S.

Topic: Maths

Source: http://www.flooved.com/reader/1698