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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.



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Flooved
by David Lippman;Jeff Eldridge;Mike Kenyon;Lawrence Morales;Melonie Rasmussen
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Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3501
Flooved
by Peter M. Neumann
texts

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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 Prof. Michael Corral
texts

eye 3,648

favorite 8

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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
by Prof. Charles Grinstead;Prof. Laurie Snell
texts

eye 2,424

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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 Trench, William F., 1931-
texts

eye 4,455

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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. Michael Corral
texts

eye 4,559

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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
texts

eye 2,450

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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. David Guichard
texts

eye 4,059

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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 Edward A. Bender;S. Gill Williamson
texts

eye 2,332

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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 Ji_� Lebl
texts

eye 1,474

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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
by David Joyner;Minh Van Nguyen;Dr Nathann Cohen
texts

eye 3,037

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This is an introductory book on algorithmic graph theory. Theory and algorithms are illustrated using the Sage open source mathematics software. To get an overview of the book, you can view the table of contents as shown below or download the complete book. This book is more commonly known as the "DaMN" book if you notice the first letter of the first name of each author. So feel free to call it the DaMN book :-)
Topics: Maths, Graph Theory, Statistics and Probability, Basics, Connectivity and Matchings, Probabilistic...
Source: http://www.flooved.com/reader/3435
Flooved
by Prof. Dave Witte Morris;Prof. Joy Morris
texts

eye 1,398

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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
texts

eye 161

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Covariance of X and Y is de�ned as: ... Positive when both high or low in deviation
Topics: Maths, Statistics and Probability, Mathematics
Source: http://www.flooved.com/reader/1625
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 Dr Thomas W. Judson
texts

eye 2,562

favorite 7

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The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory
Topics: Group Theory, Permutations, Cosets, Mathematics
Source: http://www.flooved.com/reader/3494
Flooved
texts

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These set of lecture notes are designed for an upper-division undergraduate course on computational physics. The purpose of this course is demonstrate to students how computers can enable us to both broaden and deepen our understanding of physics by vastly increasing the range of mathematical calculations which we can conveniently perform.
Topics: Physics, Physics
Source: http://www.flooved.com/reader/3259
Flooved
by Prof. Richard Hammack
texts

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such a function f, a single real number input x determines a unique single output value
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3480
Flooved
texts

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In the preceding chapter we consider closed systems !Esystem = 0 in which the only interactions on the constituents of a system were due to conservative forces. This enables us to define the concepts of potential energy and the conservation of mechanical energy. We shall now apply the Principle of Conservation of Energy to analyze the change in energy of a system and deduce how the velocity of the constituent components of a system will change between some initial state and some final state.
Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, Fundamental Concepts,...
Source: http://www.flooved.com/reader/3289
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
by Prof. Carl Stitz;Prof. Jeff Zeager
texts

eye 3,253

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Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3486
Flooved
by James S. Milne
texts

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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
texts

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We are turning from elimination to look at iterative methods.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1692
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
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
texts

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In any case, notice that this quanti�ed phrase appears inside a larger if-then statement. This is quite normal; quanti�ed statements are themselves propositions and can be combined with and, or, implies, etc., just like any other proposition.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1722
Flooved
texts

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Differential inequality and uniqueness. We prove the uniqueness theorem for linear second-order differential equations with variable coef�cients.
Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1556
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 Albert R. Meyer
texts

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Mathematicians have developed a variety of measures and methods to help usunderstand how a random variable performs in comparison to its mean. The simplest and most widely used measure is called the variance of the random variable. The variance is a single value associated with the random variable that is large for random variables that are likely to deviate signi�cantly from the mean and that is small otherwise.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1733
Flooved
by Prof. Joseph Fields
texts

eye 1,239

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f(x). However, many of the functions of importance both within mathematics itself as
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3477
Flooved
texts

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Chapter I presents all the elementary Hilbert space theory that is needed for the book. Chapter II is an introduction to distributions and Sobolev spaces. Chapter III is an exposition of the theory of linear elliptic boundary value problems in variational form. (The meaning of \variational form" is explained in Chapter VII.). Chapter IV is an exposition of the generation theory of linear semigroups of contractions and its applications to solve initial-boundary value problems for partial...
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3536
Flooved
by Prof. Peter J. Cameron
texts

eye 216

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The course begins with an outline of complexity theory, which gives a more precise meaning to the statement that some problems (such as minimal spanning tree) are easy to solve whereas others (such as travelling salesman) are hard.
Topic: Mathematics
Source: http://www.flooved.com/reader/3512
Flooved
texts

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I am heading towards the spectral theory of self-adjoint compact operators. This is rather similar to the spectral theory of self-adjoint matrices and has many useful applications. There is a very e_ective spectral theory of general bounded but self-adjoint operators but I do not expect to have time to do this. There is also a pretty satisfactory spectral theory of non-selfadjoint compact operators, which it is more likely I will get to. There is no satisfactory spectral theory for general...
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Functional...
Source: http://www.flooved.com/reader/1577
Flooved
texts

eye 376

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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
texts

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An outline for this course.� We will observe that many phenomena in ecology, biology and biochemistry can bemodelled mathematically.� We will initially focus on systems where the spatial variation is not present or, atleast, not important. Therefore only the temporal evolution needs to be captured in equations and this typically (but not exclusively) leads to di_erence equationsand/or ordinary di_erential equations.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1078
Flooved
texts

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Recall that given an (almost) Calabi-Yau manifold (X, J, _, �), we de�ned M to be the set of pairs (L, _), L _ X a special Lagrangian torus, _ a �at U(1) connection on C _ L modulo gauge equivalence....
Topics: Maths, Linear Algebra and Geometry, Geometry, Mathematics
Source: http://www.flooved.com/reader/1976
Flooved
texts

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Preliminaries: Semiconductor Background - The Crystal Hamiltonian. For an assembly of atoms the classical energy is the sum of the following:..
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
Source: http://www.flooved.com/reader/3014
Flooved
texts

eye 104

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Topics: Maths, Statistics and Probability, Mathematics
Source: http://www.flooved.com/reader/1622
Flooved
by Albert R. Meyer
texts

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Now that you understand the basics of how to prove that a proposition is true, it is time to equip you with the most powerful methods we have for establishing truth: the Well Ordering Principle, the Induction Rule, and Strong Induction. These methods are especially useful when you need to prove that a predicate is true for all natural numbers.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1751
Flooved
texts

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Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3532
Flooved
by Prof. Kiran S. Kedlaya
texts

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Aside from this introduction, the book is divided into four parts. The �rst part, �Rudiments�, is devoted to the foundations of Euclidean geometry and to some of the most pervasive ideas within the subject. The second part, �Special situations�, treats some common environments of classical synthetic geometry; it is here where one encounters many of the challenging Olympiad problems which helped inspire this book. The third part, �The roads to modern geometry�, consists of two 4...
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3488
Flooved
texts

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Topics: Maths, Linear Algebra and Geometry, Algebra, Geometry, Differential Geometry, Algebraic Geometry,...
Source: http://www.flooved.com/reader/2201
Flooved
texts

eye 1,222

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Topics: Physics, Physics
Source: http://www.flooved.com/reader/2724
Flooved
by Peter Dourmashkin
texts

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Topics: Maths, Physics, Dynamics and Relativity, Classical Mechanics, Classical Dynamics, Classical...
Source: http://www.flooved.com/reader/3291
Flooved
by Peter Dourmashkin
texts

eye 593

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Topics: Maths, Physics, Differential Equations (ODEs & PDEs), Classical Mechanics, Partial Differential...
Source: http://www.flooved.com/reader/3301
Flooved
by Barbara Illowsky;Susan Dean
texts

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The textbook was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two� and four�year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it.
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3483
Flooved
texts

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Fourier series. Let us now try applying our knowledge of Hilbert space to a concrete Hilbert space such as L^2(a, b) for a �nite interval (a, b) _ R. You showed that this is indeed a Hilbert space. One of the reasons for developing Hilbert space techniques originally was precisely the following result.
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Functional...
Source: http://www.flooved.com/reader/1574
Flooved
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This lecture covers the proof of the Bessy-Thomasse Theorem, formerly known as the Gallai Conjecture. Also, we discuss the cyclic stable set polytope, and show that it is totally dual integral (TDI) (see lecture 5 for more on TDI systems of inequalities).
Topics: Maths, Optimization and Control, Optimization, Mathematics
Source: http://www.flooved.com/reader/1943
Flooved
by Eric Poisson
texts

eye 1,353

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This is a comprehensive book on all of the fundamental theory behind electromagnetism.
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
Source: http://www.flooved.com/reader/2715
Flooved
texts

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This note emerged from the lectures I have delivered over the last few years. The coverage is far from exhaustive. In fact, there are a number of important topics (e.g., rotation group) that I generally do not have time to touch in the class, and have incorporated here only brie�y.
Topics: Maths, Physics, Algebra, Mathematical Methods in Physics, Groups, Group Theory, Groups, Examples of...
Source: http://www.flooved.com/reader/3357
Flooved
texts

eye 1,746

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Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3361
Flooved
by James S. Milne
texts

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These are preliminary notes for a modern account of the theory of complex multiplication. A shortened (minimal) version will be included in my book on Shimura varieties, and a complete longer version may one day be published separately.
Topic: Maths
Source: http://www.flooved.com/reader/3431
Flooved
by Prof. Al Doerr;Prof. Kenneth Levasseur
texts

eye 1,486

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In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topics in...
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/3507
Flooved
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eye 126

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The following rule (integration by substitution) is often useful.
Topics: Maths, Analysis and Calculus, Complex Analysis, Mathematics
Source: http://www.flooved.com/reader/1521
Flooved
texts

eye 75

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Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1538
Flooved
texts

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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
Flooved
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In this section we discuss the dynamics of open strings. Clearly their distinguishing feature is the existence of two end points.Our goal is to understand the e_ect of these end points.
Topics: Physics, Particle Physics and Fields, General Theory of Fields and Particles, Strings and Branes,...
Source: http://www.flooved.com/reader/3184
Flooved
texts

eye 950

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This third year core module covers the quantum theory of atoms and atomic spectra, and also the basic principles of lasers. Course description: PHY332 covers the quantum theory of simple atoms and atomic spectra, and also the basic principles of lasers. The first part of the course covers the physics of atoms and atomic spectra, beginning with hydrogen and then moving on to multi-electron atoms. The second part gives an introduction to laser physics, with emphasis on the basic principles of...
Topics: Physics/Nuclear, Atomic and Molecular Physics/Atomic and Molecular Physics|Physics/Acoustics,...
Source: http://www.flooved.com/reader/3454
Flooved
by Prof. Carl Stitz;Prof. Jeff Zeager
texts

eye 1,170

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Topics: Algebra, Mathematics
Source: http://www.flooved.com/reader/3475
Flooved
texts

eye 2,016

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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
texts

eye 129

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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
texts

eye 384

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De�nition: Conditional probability of Event A given Event B: ...
Topics: Maths, Statistics and Probability, Mathematics
Source: http://www.flooved.com/reader/1637
Flooved
by Daniel Kleitman;Peter Shor
texts

eye 89

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To do a 2^k FFT mod a prime p you need to choose a prime p whose remainders include 2^k-th roots of unity, and you need to find one such root that is not a 2^(k-1)-th root of unity
Topics: Maths, Mathematics
Source: http://www.flooved.com/reader/1888
Flooved
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1. Pseudoholomorphic Curves ...
Topics: Maths, Linear Algebra and Geometry, Geometry, Mathematics
Source: http://www.flooved.com/reader/1980
Flooved
texts

eye 102

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Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2066
Flooved
texts

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1. Spin Structures...
Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics
Source: http://www.flooved.com/reader/2120
Flooved
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eye 74

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Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics
Source: http://www.flooved.com/reader/2145
Flooved
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Sard�s Theorem: An extremely important notion in differential topology is that of general posi_tion or genercity. A particular map may have some horrible pathologies but often a nearby map has much nicer properties
Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics
Source: http://www.flooved.com/reader/2129
Our goal in this lecture is to prove the following result: Theorem 1. Let n and k be nonnegative integers. Then the tensor product K(n) _ J(k) is an injective object in the category of unstable A-modules.
Topics: Maths, Algebra, Topology and Metric Spaces, Mathematics
Source: http://www.flooved.com/reader/2216
Flooved
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Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics
Source: http://www.flooved.com/reader/2207
Flooved
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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
We introduce another powerful method of solving PDEs. First, we need to consider some preliminary de�nitions and ideas.
Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Partial Differential Equations (PDEs),...
Source: http://www.flooved.com/reader/1671
Flooved
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eye 159

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Arithmetic functions, the Mobius�function
Topics: Maths, Algebra, Number Theory, Mathematics
Source: http://www.flooved.com/reader/1119
Flooved
by Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis
texts

eye 91

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Topics: Maths, Differential Equations (ODEs & PDEs), Mathematics
Source: http://www.flooved.com/reader/1402
Flooved
by Arthur Mattuck;Haynes Miller;Jeremy Orloff;John Lewis
texts

eye 142

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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 250

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Topics: Maths, Differential Equations (ODEs & PDEs), Methods, Fourier Analysis, Mathematics
Source: http://www.flooved.com/reader/1488