# 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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David Lippman;Jeff Eldridge;Mike Kenyon;Lawrence Morales;Melonie Rasmussen

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Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3501

Source: http://www.flooved.com/reader/3501

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

Topics: Real Numbers, Analysis, Mathematics

Source: http://www.flooved.com/reader/3549

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

Topic: Mathematics

Source: http://www.flooved.com/reader/3446

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

Topics: Maths, Differential Equations (ODEs & PDEs)|, Ordinary Differential Equations (ODEs), Linear...

Source: http://www.flooved.com/reader/3456

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

Topic: Maths

Source: http://www.flooved.com/reader/1056

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

Topic: Maths

Source: http://www.flooved.com/reader/2725

This book is a one semester course in basic analysis

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3479

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3479

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

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3485

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

Topic: Maths

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

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

Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, Physics

Source: http://www.flooved.com/reader/3278

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

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3489

on functions involving a single independent variable and a single dependent variable. For

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3490

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3490

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

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3506

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3503

Source: http://www.flooved.com/reader/3503

The laws of physics are generally written down as differential equations. Therefore, all of science and engineering use differential equations to some degree. Understanding differential equations is essential to understanding almost anything you will study in your science and engineering classes. You can think of mathematics as the language of science, and differential equations are one of the most important parts of this language as far as science and engineering are concerned.

Topic: Maths

Source: http://www.flooved.com/reader/3442

Topic: Maths

Source: http://www.flooved.com/reader/3442

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

Topic: Maths

Source: http://www.flooved.com/reader/3353

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

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3504

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

Topics: Maths, Graph Theory, Statistics and Probability, Basics, Connectivity and Matchings, Probabilistic...

Source: http://www.flooved.com/reader/3435

This book is a manual for the course of electrodynamics and theory of relativity. It is recommended primarily for studentsof mathematical departments. This de�nes its style: I use elements of vectorial and tensorial analysis, di_erential geometry, and theory of distributions in it.

Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...

Source: http://www.flooved.com/reader/2714

Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...

Source: http://www.flooved.com/reader/2714

Topic: Mathematics

Source: http://www.flooved.com/reader/3518

Source: http://www.flooved.com/reader/3518

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

Topics: Maths, Linear Algebra and Geometry, Algebra, Numerical Analysis, Vectors and Matrices, Linear...

Source: http://www.flooved.com/reader/3376

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

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3505

f(x). However, many of the functions of importance both within mathematics itself as

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3477

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3477

These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated ``from scratch." This also has the (maybe disadvantageous) consequence that power series are introduced very late in the...

Topics: Complex Analysis, Residue Theorem, Second Order Ordinary Differential Equations in the Complex...

Source: http://www.flooved.com/reader/3491

Topics: Complex Analysis, Residue Theorem, Second Order Ordinary Differential Equations in the Complex...

Source: http://www.flooved.com/reader/3491

Topics: Physics, Quantum Physics, Quantum Mechanics, Formalism, Foundations of Quantum Mechanics,...

Source: http://www.flooved.com/reader/3399

Source: http://www.flooved.com/reader/3399

This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as �counting.� The book consists almost entirely of problems.

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3487

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3487

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

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3483

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

Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...

Source: http://www.flooved.com/reader/2715

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

Topics: Maths, Physics, Algebra, Mathematical Methods in Physics, Groups, Group Theory, Groups, Examples of...

Source: http://www.flooved.com/reader/3357

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

Topics: Logic, Numbers and Set Theory, Introduction to Number Systems and Logic, Propositional Logic, Set...

Source: http://www.flooved.com/reader/3492

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

Topic: Maths

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

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

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3535

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

Topics: Maths, Linear Algebra and Geometry, Numerical Analysis, Linear Algebra, Linear Algebraic Systems,...

Source: http://www.flooved.com/reader/1323

Thus we seek a geometric depiction of the trajectories in a lower-dimensional space�in essence, a view of phase space without all the detail.

Topics: Maths, Dynamics and Relativity, Dynamical Systems, Mathematics

Source: http://www.flooved.com/reader/1845

Topics: Maths, Dynamics and Relativity, Dynamical Systems, Mathematics

Source: http://www.flooved.com/reader/1845

This book is intended for a one semester introduction to absract algebra. Instead of spending a lot of time going over background material, we go directly into the primary subject matter. We discuss proof methods and necessary background as the need arises.

Topics: Maths, Algebra, Groups, Groups, Lagrange and Fermat-Euler�s Theorems, Isomorphism Theorems,...

Source: http://www.flooved.com/reader/3356

Topics: Maths, Algebra, Groups, Groups, Lagrange and Fermat-Euler�s Theorems, Isomorphism Theorems,...

Source: http://www.flooved.com/reader/3356

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

Topics: Maths, Algebra, Numerical Analysis, Study Guides, Study Skills and Assignment Guidelines, Number...

Source: http://www.flooved.com/reader/1477

Flooved

by
Donald E. Knuth;Tracy Larrabee;Paul M. Roberts

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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

Topics: Maths, Analysis and Calculus|Maths, Study Guides, Study Skills and Assignment Guidelines, Learning...

Source: http://www.flooved.com/reader/1899

The Extended Green�s Theorem.

Topics: Maths, Analysis and Calculus, Calculus, Mathematics

Source: http://www.flooved.com/reader/1824

Topics: Maths, Analysis and Calculus, Calculus, Mathematics

Source: http://www.flooved.com/reader/1824

We start this course by exploring the framework of Newtonian mechanics, understanding the axioms and what they have to tell us about the way the Universe works. We then move on to look at a number of forces that are at play in the world. Nature is kind and the list is surprisingly short. Moreover, many of forces that arise have special properties, from which we will see new concepts emerging such as energy and conservation principles. Finally, for each of these forces, we turn the mathematical...

Topic: Maths

Source: http://www.flooved.com/reader/2816

Topic: Maths

Source: http://www.flooved.com/reader/2816

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

Topics: Physics, Quantum Physics, Quantum Mechanics, Foundations of Quantum Mechanics, Measurement Theory,...

Source: http://www.flooved.com/reader/3079

What is Plasma? The electromagnetic force is generally observed to create structure: e.g., stable atoms and molecules, crystalline solids. In fact, the most widely studied consequences of the electromagnetic force form the subject matter of Chemistry and Solid-State Physics, which are both disciplines developed to understand essentially static structures. Structured systems have binding energies larger than the ambient thermal energy. Placed in a suf�ciently hot environment, they decompose:...

Topics: Physics, Physics of Gases, Plasmas, and Electric Discharges, Physics of Plasmas and Electric...

Source: http://www.flooved.com/reader/3041

Topics: Physics, Physics of Gases, Plasmas, and Electric Discharges, Physics of Plasmas and Electric...

Source: http://www.flooved.com/reader/3041

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

Topics: Maths, Logic, Numbers and Set Theory, Set Theory, Mathematics

Source: http://www.flooved.com/reader/3368

Chapter 11 presents the basic formalism of tensors as they are most commonly used by applied mathematicians, physicists and engineers. Finally, Chapter 12 serves as an introduction to the theory of infinite-dimensional vector spaces

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3538

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3538

In world of mathematics, countless brilliant minds dedicate their lives in an effort to prove the seemingly impossible. Interestingly enough, through the plethora of established proofs which has tremendously impacted the scientific world, a few false proofs have also survived the scrutiny of mathematicians. However, rather than simply dismissing such fallacy proofs as unfortunate mistakes, equally valuable lessons can be learned through the understanding of why such fallacy proofs were able to...

Topics: Maths, Logic, Numbers and Set Theory, Graph Theory, Introduction to Number Systems and Logic, Graph...

Source: http://www.flooved.com/reader/2037

Topics: Maths, Logic, Numbers and Set Theory, Graph Theory, Introduction to Number Systems and Logic, Graph...

Source: http://www.flooved.com/reader/2037

Topic: Mathematics

Source: http://www.flooved.com/reader/3517

Source: http://www.flooved.com/reader/3517

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

Topics: Combinatorics, Mathematics

Source: http://www.flooved.com/reader/3540

Do you ever walk through a proof, understand each step, yet not believe the theorem, not say �Yes, of course it�s true�? The analytic, logical, sequential approach often does not convince one as well as does a carefully crafted picture. This di_erence is no coincidence. The analytic, sequential portions of our brain evolved with our capacity for language, which is perhaps 105 years old. Our pictorial, Gestalt hardware results from millions of years of evolution of the visual system and...

Topics: Maths, Logic, Numbers and Set Theory, Linear Algebra and Geometry, Analysis and Calculus,...

Source: http://www.flooved.com/reader/1919

Topics: Maths, Logic, Numbers and Set Theory, Linear Algebra and Geometry, Analysis and Calculus,...

Source: http://www.flooved.com/reader/1919

Topics: Linear Algebra, Vectors, Eigenvalues and Eigenvectors, Determinant and Trace, Dual of a...

Source: http://www.flooved.com/reader/3458

Source: http://www.flooved.com/reader/3458

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3486

Source: http://www.flooved.com/reader/3486

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

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3488

Topics: Maths, Linear Algebra and Geometry, Analysis and Calculus, Vectors and Matrices, Differential...

Source: http://www.flooved.com/reader/1065

Source: http://www.flooved.com/reader/1065

Euler�s Totient Function:The number of elements in a reduced residue system mod m is called Euler�s totient function: _(m)(ie., the number of positive integers � m and coprime to m)

Topics: Maths, Logic, Numbers and Set Theory, Linear Algebra and Geometry, Algebra, Elementary Number...

Source: http://www.flooved.com/reader/1135

Topics: Maths, Logic, Numbers and Set Theory, Linear Algebra and Geometry, Algebra, Elementary Number...

Source: http://www.flooved.com/reader/1135

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

Topics: Physics, Physics

Source: http://www.flooved.com/reader/3259

Topic: Maths

Source: http://www.flooved.com/reader/3263

Source: http://www.flooved.com/reader/3263

These notes have three (perhaps ambitious) aims: (a) to introduce undergraduates to special relativity from its founding principle to its varied consequences, (b) to serve as a reference for those of us who need to use special relativity regularly but have no long-term memory, and (c) to provide an illustration of the methods of theoretical physics for which the elegance and simplicity of special relativity are ideally suited. History is a part of all science�I will mention some of the...

Topic: Maths

Source: http://www.flooved.com/reader/3125

Topic: Maths

Source: http://www.flooved.com/reader/3125

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

Topics: Group Theory, Permutations, Cosets, Mathematics

Source: http://www.flooved.com/reader/3494

The purpose of these lecture notes is to provide an introduction to computational methods for the approximate solution of ordinary di_erential equations (ODEs).Only minimal prerequisites in di_erential and integral calculus, di_erential equation theory, complex analysis and linear algebra are assumed. The notes focus on the construction of numerical algorithms for ODEs and the mathematical analysis of their behaviour, covering the material taught in the M.Sc. in Mathematical Modelling and...

Topic: Maths

Source: http://www.flooved.com/reader/1085

Topic: Maths

Source: http://www.flooved.com/reader/1085

Flooved

by
John Belcher;Peter Dourmashkin;Michael Feld;Eric Hudson;John Joannopoulos;Bruce Knuteson;George Stephans

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Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...

Source: http://www.flooved.com/reader/2833

Source: http://www.flooved.com/reader/2833

Lecture Topics: 1. Geometrical vectors and vector �elds 2. Calculating with the div, grad and curl 3. Index notation, unit vectors and coordinate systems 4. Maxwell�s equations and the Lorentz Force 5. Gauge transformations and a particle in an electromagnetic �eld 6. The Laplace equation and the method of images 7. Separation of variables and Legendre polynomials 8. Electric and magnetic multipole moments 9. The wave equation, polarisation, phase velocity and group velocity.

Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...

Source: http://www.flooved.com/reader/3398

Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...

Source: http://www.flooved.com/reader/3398

This book is a one semester course in basic analysis. It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school, but also as a more advanced one-semester course that also covers topics such as metric spaces.

Topic: Maths

Source: http://www.flooved.com/reader/3443

Topic: Maths

Source: http://www.flooved.com/reader/3443

Topics: Physics, Particle Physics and Fields, General Theory of Fields and Particles, Field Theory, Field...

Source: http://www.flooved.com/reader/3164

Source: http://www.flooved.com/reader/3164

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

Topic: Maths

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

Calculus is the study of functional relationships and how related quantities change with

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3502

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/3502

We now present a version of the inversion theorem for symmetric matrices. If the matrix is not symmetric, the statement looks quite di_erent.

Topics: Maths, Numerical Analysis, Mathematics

Source: http://www.flooved.com/reader/1596

Topics: Maths, Numerical Analysis, Mathematics

Source: http://www.flooved.com/reader/1596

_(_), parameter _ > 0, random variable takes values: {0, 1, 2, ...} p.f. ... Moment generating function:

Topics: Maths, Statistics and Probability, Probability, Statistics, Random Variables, Useful Distributions,...

Source: http://www.flooved.com/reader/1642

Topics: Maths, Statistics and Probability, Probability, Statistics, Random Variables, Useful Distributions,...

Source: http://www.flooved.com/reader/1642

Topics: Maths, Linear Algebra and Geometry, Algebraic Geometry, Mathematics

Source: http://www.flooved.com/reader/2203

Source: http://www.flooved.com/reader/2203

Topics: Maths, Linear Algebra and Geometry, Geometry of Manifolds, Mathematics

Source: http://www.flooved.com/reader/2145

Source: http://www.flooved.com/reader/2145

Topics: Maths, Analysis and Calculus, Statistics and Probability, Mathematics

Source: http://www.flooved.com/reader/1041

Source: http://www.flooved.com/reader/1041

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/2008

Source: http://www.flooved.com/reader/2008

This section of the lecture examines some of the contemporary methods used to visualize computer networks. More information can be found at www.cybergeography.org which contains links to numberous internet-related visualization projects.

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/2009

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/2009

In particular, when we make an estimate by repeated sampling, we need to know how much con�dence we should have that our estimate is OK. Technically, this reduces to �nding the probability that an estimate deviates a lot from its expected value. This topic of deviation from the mean is the focus of this �nal chapter.

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/1719

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/1719

De�nition: Conditional probability of Event A given Event B: ...

Topics: Maths, Statistics and Probability, Mathematics

Source: http://www.flooved.com/reader/1637

Topics: Maths, Statistics and Probability, Mathematics

Source: http://www.flooved.com/reader/1637

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

Topics: Maths, Mathematics

Source: http://www.flooved.com/reader/1714

Objectives: The GR �eld equations

Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,...

Source: http://www.flooved.com/reader/2823

Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,...

Source: http://www.flooved.com/reader/2823

Introduction and overview. In constructing the description of nature we call science it has been found useful to assume that things we observe directly with our senses are actually the combined effects of the behavior of a very large number of objects so small as to be invisible to us. That is, our senses are able to convey to us the gross aspects of things around us, but those aspects are in reality determined by the unobserved behavior of constituent microscopic objects.

Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, Statics, Vectors, Physics

Source: http://www.flooved.com/reader/2890

Topics: Physics, Classical Mechanics, Classical Mechanics of Discrete Systems, Statics, Vectors, Physics

Source: http://www.flooved.com/reader/2890

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DESCRIPTION

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.
# Collection Info

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- 2013-11-14 00:48:35

- Collection
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- Identifier
- flooved

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- Flooved

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2013

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