- Proof That Girls Are Absolute Evil
Mathematical Proof That Girls Are Evil.
in Educational > Mathematics - Vector calculus - From Wikipedia, the free encyclopedia
Vector calculus (also called vector analysis) is a field of mathematics concerned with multivariate real analysis of vectors in two or more dimensions. It consists of a suite of formulas and problem solving techniques very useful for engineering and physics. Vector analysis has its origin in quaternion analysis, and was formulated by the American scientist, J. Willard Gibbs [1]. It concerns vector fields, which associate a vector to every point in space, and scalar fields, which associate a scalar to every point in space. For example, the temperature of a swimming pool is a scalar field: to each point we associate a scalar value of temperature. The water flow in the same pool is a vector field: to each point we associate a velocity vector.
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in Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups
Note: The summary of gradient, curl and divergence is particularly good. - Differential Equations - Wikibooks, collection of open-content textbooks
This book aims to lead the reader through the topic of differential equations, a vital area of modern mathematics and science. It is hoped that this book will provide information about the whole area of differential equations, but for the moment it will concentrate on the simpler equations.
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in Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups
Note: This stuff I found to be rather good: http://en.wikibooks.org/wiki/Differential_Equations/First_Order - Texas Instruments Derive™ 6 from US & CANADA
A powerful Computer Algebra System, Derive can easily solve a wide range of symbolic and numeric problems. Results can be plotted as 2-D graphs or 3-D color surfaces, enabling different approaches to problem solving.
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in Educational > Mathematics > Software - Topology Without Tears, chapters 1-10.
"Topology Without Tears" by Sidney A. Morris. University of Ballarat, Victoria Australlia.
in Educational > Mathematics > Topology Books - Maplesoft
Command the Brilliance. Makers of Maple.
Maplesoft is a world leader in mathematical and analytical software. The Maple system embodies advanced technology such as symbolic computation, infinite precision numerics, innovative Web connectivity and a powerful 4GL language for solving a wide range of mathematical problems encountered in modeling and simulation.
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in Educational > Mathematics > Software by 2 users - A Mathematician's Apology (Canto) (Paperback) by G. H. Hardy, C. P. Snow (Foreword)
A Mathematician's Apology is a profoundly sad book, the memoir of a man who has reached the end of his ambition, who can no longer effectively practice the art that has consumed him since he was a boy. But at the same time, it is a joyful celebration of the subject--and a stern lecture to those who would sully it by dilettantism or attempts to make it merely useful. "The mathematician's patterns," G.H. Hardy declares, "like the painter's or the poet's, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics."
Amazon.com: A Mathematician's Apology (Canto) (9780521427067): G. H. Hardy, C. P. Snow: Books
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in Educational > Mathematics > Textbooks/Books - Bijection - wikipedia
In mathematics, a bijection, or a bijective function is a function f from a set X to a set Y with the property that, for every y in Y, there is exactly one x in X such that f(x) = y. Alternatively, f is bijective if it is a one-to-one correspondence between those sets; i.e., both one-to-one (injective) and onto (surjective).[1] (See also Bijection, injection and surjection.)
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in Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups - Bijection, injection and surjection - Wikipedia
In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each other.
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in Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups
Note: Need to learn this. - Fixed point property - Wikipedia
In mathematics, a topological space X has the fixed point property if all continuous mappings from X to X have a fixed point.
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in Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups
Note: In mathematics, a fixed point (sometimes shortened to fixpoint) of a function is a point that is mapped to itself by the function... http://en.wikipedia.org/wiki/Fixed_point_%28mathematics%29 - Fixed Point Theorem Finite-Closed - Topology Q+A Board
Does a space which has the finite closed topology have the fixed-point property? I really don't know how to go about this, but my initial thoughts are: - This should be related to continuous functions and connectedness.
in Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups - Fixed-point theorem - Wikipedia
In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some conditions on F that can be stated in general terms. Results of this kind are amongst the most generally useful in mathematics. The Banach fixed point theorem gives a general criterion guaranteeing that, if it is satisfied, the procedure of iterating a function yields a fixed point. By contrast, the Brouwer fixed point theorem is a non-constructive result: it says that any continuous function from the closed unit ball in n-dimensional Euclidean space to itself must have a fixed point, but it doesn't describe how to find the fixed point (See also Sperner's lemma).
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in Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups - GraphFunc Online
A handy online java tool for drawing single variable graphs, you can chuck 'em on top of each other too!
in Educational > Mathematics > Software - Implicit function theorem
In multivariable calculus of mathematics the implicit function theorem says that for a suitable set of equations, some of the variables are defined as functions of the others.
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in Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups - Littlewood's Miscellany: Books: Béla Bollobás (editor) - Amazon.com
Academic life in Cambridge especially in Trinity College is viewed through the eyes of one of its greatest figures. Most of Professor Littlewood's earlier work is presented along with a wealth of new material.
Amazon.com: Littlewood's Miscellany (9780521337021): John E. Littlewood, Béla Bollobás: Books
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in Educational > Mathematics > Textbooks/Books - Living Reviews
'Living Reviews' is a unique editorial concept for the publication of high-quality scientific content. 'Living' review articles are 1. as the name suggests, review articles, providing insightful surveys on research progress in the fields they cover and guiding readers to the most important literature in the field, 2. solicited from experts in the field by an international Editorial Board, 3. subject to peer-review, 4. open access publications 5. and, most important, 'living' which means that the articles are regularly being updated by their authors to incorporate the latest developments in the field.
Journal portal for peer-refereed, solely online scientific journals publishing invited review articles. Reviews are kept up to date by their authors. All reference information is collected into searchable databases. http://www.livingreviews.org/ is a free resource to the scientific community. Living Reviews in Relativity is published by the Max Planck Institute for Gravitational
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in Educational > Cosmology by 2 users - Maths Department
description of the content of the web page
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in Educational > University > LaTrobe > Departments - Ned Wright's Cosmology Tutorial
Cosmology is the study of the origin, current state, and future of our Universe. This field has been revolutionized by many discoveries made during the past century. My cosmology tutorial is an attempt to summarize these discoveries.
Cosmology tutorial: an illustrated introductory guide to cosmology
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in Educational > Cosmology - Optimnem Blog
The Blog of Daniel Tammet. (wiki) Daniel Paul Tammet (born January 31, 1979) is a British autistic savant (though he has learnt how to manage social interaction) gifted with a facility for mathematics problems, sequence memory, and natural language learning. He was born with congenital childhood epilepsy. Experiencing numbers as colors or sensations is a well-documented form of synesthesia, but Tammet is unique in how specific and detailed his mental imagery of numbers is. He claims that in his mind each number, up to 10,000, has its own unique shape and feel, and he can "sense" whether a number is prime or composite and "see" results of calculations as landscapes in his mind.
in Computing > Blogs - Range (mathematics) - Wikipedia
In mathematics, the range of a function is the set of all "output" values produced by that function. Sometimes it is called the image, or more precisely, the image of the domain of the function....The range should not be confused with the codomain B. The range is a subset of the codomain, but is not necessarily equal to the codomain, since there may be elements of the codomain which are not elements of the range. The codomain is sometimes taken to be the range, but more often is some standard set, such as the real numbers or the complex numbers, which contains the range. A function whose range equals its codomain is called onto or surjective.
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in Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups
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