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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.



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Flooved
by Prof. Michael Corral
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This book covers elementary trigonometry. It is suitable for a one-semester course at the college level, though it could also be used in high schools
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3504
Flooved
by Prof. Charles Grinstead;Prof. Laurie Snell
texts

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This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a �rm understanding of the subject. The text can be used in a variety of course lengths, levels, and areas of emphasis
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3489
Flooved
by David Lippman;Jeff Eldridge;Mike Kenyon;Lawrence Morales;Melonie Rasmussen
texts

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Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3501
Flooved
by Richard Fitzpatrick
texts

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The purpose of this course is to present quantum mechanics in a systematic fashion, starting from the fundamental postulates, and developing the theory in as logical a manner as possible.
Topics: Physics, Quantum Physics, Quantum Mechanics, Foundations of Quantum Mechanics, Measurement Theory,...
Source: http://www.flooved.com/reader/3079
Flooved
texts

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What is classical mechanics? Classical mechanics is the study of the motion of bodies (including the special case in which bodies remain at rest) in accordance with the general principles �rst enunciated by Sir Isaac Newton in his Philosophiae Naturalis Principia Mathematica (1687), commonly known as the Principia. Classical mechanics was the �rst branch of Physics to be discovered, and is the foundation upon which all other branches of Physics are built. Moreover, classical mechanics has...
Topic: Maths
Source: http://www.flooved.com/reader/2725
Flooved
texts

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This book begins with four special families of matrices�simple and useful, absolutely basic. We look �rst at the properties of these particular matrices Kn,Cn, Tn,and Bn. (Some properties are obvious, others are hidden.) It is terri�c to practice linear algebra by working with genuinely important matrices.
Topics: Maths, Linear Algebra and Geometry, Numerical Analysis, Linear Algebra, Linear Algebraic Systems,...
Source: http://www.flooved.com/reader/1323
Flooved
by Prof. Dave Witte Morris;Prof. Joy Morris
texts

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well as in the application of mathematics to the rest of the world involve many variables
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3499
Flooved
by Trench, William F., 1931-
texts

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Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. In writing this book I have been guided by the these principles: 1. An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student�s place, and have chosen to err on the side of too much detail rather than not enough. 2. An...
Topics: Maths, Differential Equations (ODEs & PDEs)|, Ordinary Differential Equations (ODEs), Linear...
Source: http://www.flooved.com/reader/3456
Flooved
by Prof. John Erdman
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The current set of notes is an activity-oriented companion to the study of real analysis. It is intended as a pedagogical companion for the beginner, an introduction to some of the main ideas in real analysis, a compendium of problems I think are useful in learning the subject, and an annotated reading/reference list
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3485
Flooved
by Peter M. Neumann
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These notes are intended as a rough guide to the eight-lecture course Introduction to Pure Mathematics which is a part of the Oxford 1st-year undergraduate course for the Preliminary Examination in Mathematics. Please do not expect a polished account. They are my personal lecture notes, not a carefully checked textbook. Nevertheless, I hope they may be of some help.
Topic: Maths
Source: http://www.flooved.com/reader/1056
Flooved
by James Nearing
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The biggest step from derivatives with one variable to derivatives with many variables is from one to two. After that, going from two to three was just more algebra and more complicated pictures. Now the step will be from a �nite number of variables to an in�nite number. That will require a new set of tools, yet in many ways the techniques are not very di_erent from those you know. If you�ve never read chapter 19 of volume II of the Feynman Lectures in Physics, now would be a good time....
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/2660
Flooved
texts

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This text discusses the theory of finite-dimensional vector spaces in sufficient detail to enable the reader to understand and solve most linear algebra problems in mathematics and physics likely to be encountered outside of specialized research.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3535
Flooved
by Prof. Michael Corral
texts

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This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as �Vector Calculus�, �Multivariable Calculus�, or simply �Calculus III�. The prerequisites are the standard courses in single-variable calculus (a.k.a. Calculus I and II).
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3505
Flooved
texts

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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
Flooved
by Edward A. Bender;S. Gill Williamson
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Parts I and II deal with two fundamental aspects of combinatorics: enumeration and graph theory. �Enumeration� can mean either counting or listing things. Mathematicians have generally limited their attention to counting, but listing plays an important role in computer science, so we discuss both aspects. After introducing the basic concepts of �graph theory� in Part II, we present a variety of applications of interest in computer science and mathematics. Induction and recursion play a...
Topics: Combinatorics, Mathematics
Source: http://www.flooved.com/reader/3540
Flooved
by Benjamin McKay
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These notes are drawn from lectures given at University College Cork in the spring of 2006, for a �rst year introduction to linear algebra. The course aims for a complete proof of the spectral theorem. Problems appear throughout the text, which you must learn to solve. They often provide vital results used in the course. Most of these problems have hints, particularly the more important ones. There are also review problems at the end of each section, and you should try to solve a few from...
Topics: Maths, Linear Algebra and Geometry, Algebra, Numerical Analysis, Vectors and Matrices, Linear...
Source: http://www.flooved.com/reader/3376
Flooved
by Richard Fitzpatrick
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This book presents a single semester course on Newtonian dynamics that is intended primarily for upper-division (i.e., junior and senior) undergraduate students majoring in physics. A thorough understanding of physics at the lower-division level, including a basic working knowledge of the laws of mechanics, is assumed. It is also taken for granted that students are familiar with the fundamentals of integral and differential calculus, complex analysis, ordinary differential equations, and linear...
Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, Physics
Source: http://www.flooved.com/reader/3278
Flooved
texts

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Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, General Theory of Classical...
Source: http://www.flooved.com/reader/3290
Flooved
by Prof. Jim Hefferon
texts

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on functions involving a single independent variable and a single dependent variable. For
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3490
Flooved
by William F. Trench
texts

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The book is designed to �ll the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics.
Topics: Real Numbers, Analysis, Mathematics
Source: http://www.flooved.com/reader/3549
Flooved
by Peter Ouwehand
texts

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These notes are for a short course in set theory at the undergraduate level at Stellenbosch University. No pretense at orignality is claimed. Though ampli�ed by material from a number of additional sources, the debt to the �rst few chapters of the book Set Theory, by Thomas Jech, Springer 2003, should be easily discernible.
Topics: Maths, Logic, Numbers and Set Theory, Set Theory, Mathematics
Source: http://www.flooved.com/reader/3368
Flooved
by David H. Collingwood;K. David Prince;Matthew M. Conroy
texts

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This book is full of worked out examples. We use the the notation �Soluttion.� to indicate where the reasoning for a problem begins; the symbol is used to indicate the end of the solution to a problem. There is a Table of Contents that is useful in helping you �nd a topic treated earlier in the course. It is also a good rough outline when it comes time to study for the �nal examination. The book also includes an index at the end. Finally, there is an appendix at the end of the text with...
Topic: Mathematics
Source: http://www.flooved.com/reader/3446
Flooved
texts

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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
Flooved
by Keith Reckdahl
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This document describes �rst how to import graphics into LATEX documents and then covers a wide variety issues about their use.
Topics: Maths, Study Guides, Study Skills and Assignment Guidelines, Learning Latex, Mathematics
Source: http://www.flooved.com/reader/1668
Flooved
texts

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Topics: Maths, Analysis and Calculus, Complex Analysis, Mathematics
Source: http://www.flooved.com/reader/1518
Flooved
texts

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These notes cover the development of the current scienti�c concepts of space and time through history, emphasizing the newest developments and ideas.The presentation will be non-mathematical: the concepts will be introduced and explained, but no real calculations will be performed. The various concepts will be introduced in a historical order (whenever possible), this provides a measure of understanding as to how the ideas on which the modern theory of space and time is based were developed....
Topic: Maths
Source: http://www.flooved.com/reader/2868
Flooved
by Prof. Peter J. Cameron
texts

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This course introduces the basic notions of probability theory and develops them to the stage where one can begin to use probabilistic ideas in statistical inference and modelling, and the study of stochastic processes. Probability axioms. Conditional probability and independence. Discrete random variables and their distributions. Continuous distributions. Joint distributions. Independence. Expectations. Mean, variance, covariance, correlation. Limiting distributions
Topic: Mathematics
Source: http://www.flooved.com/reader/3509
Flooved
by Keijo Ruohonen
texts

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The notes form the base text for the course �MAT-41196 Graph Theory�. They containan introduction to basic concepts and results in graph theory, with a special emphasis put onthe network-theoretic circuit-cut dualism. In many ways a model was the elegant and carefulpresentation of SWAMY & THULASIRAMAN, especially the older (and better) edition. There areof course many modern text-books with similar contents, e.g. the popular GROSS & YELLEN.
Topics: Graph Theory, Basics, Connectivity and Matchings, Graph Colouring, Planar Graphs, Matchings in...
Source: http://www.flooved.com/reader/3467
Flooved
texts

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This is a practical essay on teaching, anchored by a few underlying observations.
Topics: Maths, Study Guides, Study Skills and Assignment Guidelines, Mathematics
Source: http://www.flooved.com/reader/3449
Flooved
by Mr. Travis Byington;Lawrence Evans;Mr. Ryan Magee;Hao Zhang
texts

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Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
Source: http://www.flooved.com/reader/2906
Flooved
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Aim: to introduce 1st year physics graduate students to the theory of quantum �elds. Learning outcomes: By the end of the course the student should be able to: perform four-vector algebra; derive the Euler-Lagrange equations for any �eld theory; understand and apply Noether�s Theorem; give an account of the canonical quantisation procedure for �elds; explain how transition amplitudes are calculated in �eld theory; write down and calculate simple Feynman graphs; give an account of...
Topic: Maths
Source: http://www.flooved.com/reader/3104
Flooved
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I will use the rationalised Lorentz-Heaviside system throughout (explained in Section 1). I will also assume, as prerequisite, that you know (i) the ordinary noncovariant form of Maxwell�s equations; (ii) the basic postulates of the Special Theory of Relativity, and (iii) how to get the Lagrangian and the Hamiltonian of a particle. In fact, for a certain section, I have to use the Lagrangian formulation for a �eld, but probably you have already encountered that in your Classical Mechanics...
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
Source: http://www.flooved.com/reader/3355
Flooved
by Frederique Oggier
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These notes were written to suit the contents of the course �Algebraic methods� given at NTU from August to October 2009, 2010 and 2011. Exercises have been collected during these past years from di_erent sources.
Topic: Maths
Source: http://www.flooved.com/reader/3353
Flooved
by Sergei Treil
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Topics: Linear Algebra, Vectors, Eigenvalues and Eigenvectors, Determinant and Trace, Dual of a...
Source: http://www.flooved.com/reader/3458
Flooved
by James S. Milne
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These notes give a concise exposition of the theory of �elds, including the Galois theory of �nite and in�nite extensions and the theory of transcendental extensions. The �rst six sections form a standard course. Chapters 7 and 8 are more advanced, and are required for algebraic number theory and algebraic geometry repspectively.
Topic: Maths
Source: http://www.flooved.com/reader/3415
Flooved
by Ji_� Lebl
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This book is a one semester course in basic analysis
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3479
Flooved
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In this section we will begin the discussion of weak convergence of distributions on metric spaces. Let (S, d) be a metric space with a metric d. Consider a measurable space (S, B) with Borel _-algebra B generated by open sets and let (Pn)n�1 and P be probability distributions on B
Topics: Maths, Analysis and Calculus, Statistics and Probability, Mathematics
Source: http://www.flooved.com/reader/1023
Flooved
texts

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Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3361
Flooved
by Prof. Stefan Bilaniuk
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A Problem Course in Mathematical Logic is intended to serve as the text for an introduction to mathematical logic for undergraduates with some mathematical sophistication. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is for the students, individually or in groups, to learn the material by solving the problems and proving the results for themselves. The book should do as the text for a course taught using the modified...
Topics: Logic, Numbers and Set Theory, Introduction to Number Systems and Logic, Propositional Logic, Set...
Source: http://www.flooved.com/reader/3492
Flooved
by G.'t Hooft;S. Vandoren
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Prologue General relativity is a beautiful scheme for describing the gravitational �eld and the equations it obeys. Nowadays this theory is often used as a prototype for other, more intricate constructions to describe forces between elementary particles or other branches of fundamental physics. This is why in an introduction to general relativity it is of importance to separate as clearly as possible the various ingredients that together give shape to this paradigm. After explaining the...
Topic: Maths
Source: http://www.flooved.com/reader/2932
Flooved
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Topics: Maths, Logic, Numbers and Set Theory, Sets, Relations and Functions, Countability and...
Source: http://www.flooved.com/reader/1072
Flooved
texts

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Topics: Maths, Analysis and Calculus, Statistics and Probability, Measure Theory, Probability, ?-Algebras,...
Source: http://www.flooved.com/reader/1035
Flooved
texts

eye 140

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Topics: Maths, Statistics and Probability, Mathematics
Source: http://www.flooved.com/reader/1620
Flooved
by Prof. Carl Stitz;Prof. Jeff Zeager
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Topics: Algebra, Mathematics
Source: http://www.flooved.com/reader/3475
Flooved
texts

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

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

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Topics: Maths, Logic, Numbers and Set Theory, Analysis and Calculus, Countability and Uncountability,...
Source: http://www.flooved.com/reader/1273
Flooved
texts

eye 267

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Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics
Source: http://www.flooved.com/reader/1488
Flooved
by Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis
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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

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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
texts

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In this chapter, we�ll put sequences in angle brackets to more clearly distinguish them from the many other mathematical expressions �oating around.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1714
Flooved
texts

eye 136

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Topics: Maths, Linear Algebra and Geometry, Differential Equations (ODEs & PDEs), Vectors and Matrices,...
Source: http://www.flooved.com/reader/1580
Flooved
by Albert R. Meyer
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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
Flooved
by Vladan Vuletic
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How does Fermat�s principle work? At any point in space, the total electric �eld is the sum of all electric �eld � contributions. � As EM �eld of wavelength _ (wavevector k = 2_�) travels a distance x, its phase changes by _ = kx. � Complex Notation: E(x) = E(0)eikx (Electric �eld is real part of the expres_sion)
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Mechanics, Geometrical...
Source: http://www.flooved.com/reader/3097
Flooved
texts

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The purpose of this course is to introduce the dictionary that allows you translate from the microscopic world where the laws of Nature are written to the everyday macroscopic world that we�re familiar with. This will allow us to begin to address very basic questions about how matter behaves.
Topics: Physics, Statistical Physics and Thermodynamics, Fundamentals of Classical Statistical Mechanics,...
Source: http://www.flooved.com/reader/3134
Flooved
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Sieve methods for finding primes or for finding factors of numbers are methods by which you take a set P of prime numbers one by one, and observe which of a large set, S, of numbers are divisible by each one of them.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1857
Flooved
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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

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Topics: Maths, Statistics and Probability, Statistics, Mathematics
Source: http://www.flooved.com/reader/2161
Flooved
by Predrag Cvitanovi?;Gregor Tanner;G�bor Vattay
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We derive here the Gutzwiller trace formula and the semiclassical zeta function, the central results of the semiclassical quantization of classically chaotic systems. In chapter 35 we will rederive these formulas for the case of scattering in open systems. Quintessential wave mechanics e_ects such as creeping, di_raction and tunneling will be taken up in chapter 38.
Topics: Physics, Quantum Physics, Quantum Mechanics, Semiclassical Theories and Applications, Physics
Source: http://www.flooved.com/reader/2753
Flooved
texts

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

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We have seen that the quantum Heisenberg Ferromagnetic spin chain is characterised by a magnetically ordered ground state with free particle-like elementary spin wave excitations� magnons. What happens in the antiferromagnetic system?
Topics: Physics, Condensed Matter, Particle Physics and Fields, Quantum Physics, General Theory of Fields...
Source: http://www.flooved.com/reader/3068
Flooved
by James Nearing
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The �rst rule in understanding vector calculus is draw lots of pictures. This subject can become rather abstract if you let it, but try to visualize all the manipulations. Try a lot of special cases and explore them. Keep relating the manipulations to the underlying pictures and don�t get lost in the forest of in�nite series. Along with the pictures, there are three types of derivatives, a couple of types of integrals, and some theorems relating them.
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Mathematical Methods in Physics, Classical...
Source: http://www.flooved.com/reader/3240
Flooved
by Elizabeth Stanway
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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
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Topic: Maths
Source: http://www.flooved.com/reader/3378
Flooved
by Prof. Peter J. Cameron
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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 Prof. David Guichard
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The emphasis in this course is on problems�doing calculations and story problems. To master problem solving one needs a tremendous amount of practice doing problems.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3506
Flooved
by Ted Sundstrom
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This book may be different than other mathematics textbooks you have used since one of the main goals of this book is to help you to develop the ability to construct and write mathematical proofs. So this book is not just about mathematical content but is also about the process of doing mathematics. Along the way, you will also learn some important mathematical topics that will help you in your future study of mathematics.
Topic: Mathematics
Source: http://www.flooved.com/reader/3545
Flooved
by N.M.J. Woodhouse
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This course has two aims. Aim 1 - To explain how Einstein�s theory models gravitation as the curvature of space-time. This involves setting up some new mathematical machinery, notably tensor calculus. The mathematical background will be developed in parallel with the theory. In textbooks, it is often done the other way: mathematics �rst, theory after. But the textbooks do not have to be read in linear order. The approach here should make it clearer at each stage where we are going. Aim 2 -...
Topic: Maths
Source: http://www.flooved.com/reader/2919
The results from the previous lecture produced one solution to the Dirichlet problem... But how do we know that this is the only one? In other words, we need to answer the uniqueness question (6) from the previous lecture. The next theorem addresses this question. We �rst need to introduce some important spacetime domains that will play a role in the analysis
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics
Source: http://www.flooved.com/reader/1611
Flooved
by Mr. Travis Byington;Lawrence Evans;Mr. Ryan Magee;Hao Zhang
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Electric current- One might think the discussion of charges in motion would begin with a description of the �elds of a single moving point charge. But those �elds are quite complicated � even if the charge is moving with constant velocity, but especially if it is accelerating.However, when we consider the average �elds produced by a large number of identical charges moving (on average) relatively slowly, the situation is much simpler . Especially simple is the case where the charges...
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
Source: http://www.flooved.com/reader/2916
Flooved
by Catherine Wilkins
texts

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The course will be in two parts: Part I in Michaelmas Term Weeks 3-8 and Hilary Term Weeks 1-2, and Part II in Hilary Term Weeks 3-8. For Part I you will be allocated a computer to yourself during scheduled sessions in the Statistics Department, and you may work collaboratively with others in these sessions. None of the work in Part I will be assessed, but instead will act as a foundation enabling you to work individually during Part II. This individual work will be assessed and will count...
Topics: Maths, Algebra, Numerical Analysis, Study Guides, Study Skills and Assignment Guidelines, Number...
Source: http://www.flooved.com/reader/1477
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Topics: Maths, Analysis and Calculus, Analysis, Calculus, Differentiation from ? m to ??, Differentials,...
Source: http://www.flooved.com/reader/1822
The �rst three lectures were a �minicourse� that summarized the basics. About two hundred people attended those three sessions, which were devoted primarily to a discussion of the points in �1 of this report. An exercise (�2) and a suggested solution (�3) were also part of the mini course. The remaining 28 lectures covered these and other issues in depth. We saw many examples of �before� and �after� from manuscripts in progress. We learned how to avoid excessive subscripts...
Topics: Maths, Analysis and Calculus|Maths, Study Guides, Study Skills and Assignment Guidelines, Learning...
Source: http://www.flooved.com/reader/1899
Extrapolation is an incredibly powerful technique for increasing speed and accuracy in various numerical tasks in scienti�c computing. As we will see, extrapolation can transform even the most mundane of algorithms (such as the Trapezoid Rule) into an extremely fast and accurate algorithm, increasing the rate of convergence by more than one order of magnitude. Within this paper, we will �rst present some background theory to motivate the derivation of Richardson and Romberg Extrapolation...
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/2036
Topics: Maths, Linear Algebra and Geometry, Geometry, Mathematics
Source: http://www.flooved.com/reader/1958