Update August 15, 2020: The Front has been down since late March, when the security of its web server was compromised. Then pandemic hit the United States, and a busy spring quarter started. The web server needed and got an operating system upgrade, but now the Front needs some software work to become compatible with newer versions of software packages that uses. I have no specific target date to
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (th
Euclid (holding calipers), Greek mathematician, 3rd century BC, as imagined by Raphael in this detail from The School of Athens.[1] It was mathematics, the non-empirical science par excellence, wherein the mind appears to play only with itself, that turned out to be the science of sciences, delivering the key to those laws of nature and the universe that are concealed by appearances. ~ Hannah Aren
Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, sets, lists, vectors, matrices and tensors. Maxima yields high precision numerical results by using exact fractions, arbitrary-precision integers and variable-precision fl
GNU Octave Scientific Programming Language Powerful mathematics-oriented syntax with built-in 2D/3D plotting and visualization tools Free software, runs on GNU/Linux, macOS, BSD, and Microsoft Windows Drop-in compatible with many Matlab scripts Syntax Examples The Octave syntax is largely compatible with Matlab. The Octave interpreter can be run in GUI mode, as a console, or invoked as part of a s
The Game of Life (or simply Life) is not a game in the conventional sense. There are no players, and no winning or losing. Once the "pieces" are placed in the starting position, the rules determine everything that happens later. Nevertheless, Life is full of surprises! In most cases, it is impossible to look at a starting position (or pattern) and see what will happen in the future. The only way t
4色に塗り分けられている（常にさらに外側の領域を想定することで、地図の外縁部は3色で塗り分け可能で、球面においても四色定理が成立することがわかる） 四色定理（よんしょくていり／ししょくていり、英: Four color theorem）とは、厳密ではないが日常的な直感で説明すると「平面上のいかなる地図も、隣接する領域が異なる色になるように塗り分けるには4色あれば十分だ」という定理である。 グラフ理論的に言えば、この定理はループのない平面グラフに対して次のことを述べている。平面グラフに対して、その彩色数はである。 四色定理の直観的な記述 - 「平面を連続した領域に分割したとき、隣接する2つの領域が同じ色を持たないように、領域は最大でも4つの色を使って着色できる」 - を正しく解釈する必要がある。 これを「地図の塗り分け」とすると、例えば飛び地を所属地と常に同じ色にしなければならない、とした場
How to organise the mathematics subjects on the pages below this? I would like to document and classify the mathematics and how it can be computed. Euclid made one of the first attempts to classify mathematics although we now know, through the theorems of Kirt Gödel, that there is no definitive so the organisation here has to be arbitrary in some ways and reflects my own interests. There are a num
案内[編集] このページの目的は、数学に関係するすべてのウィキペディアの記事の一覧を作ることです。数学関連の記事に興味のある方がサイドバーの "関連ページの更新状況"か関連ページの更新状況（数学に関する記事の一覧）をクリックすると、この一覧に載せてある記事の中で最近変更されたもののリストを見ることが出来ます。記事名のすぐ後についている“#”は記事に付随するノートページへのリンクです。 この一覧は、Category:数学に関する記事を元に作成されています。数学者に関する記事も含めて数学に関係する記事で、まだこの一覧に無いものを見つけた場合は、記事に[[Category:数学に関する記事]]を貼り、この一覧に載せてください。リストの一部に現在まだ存在しないページや、リダイレクトページなども含まれています。ご了承ください。 また、このような記事を集めて作成する一覧とは別に、それぞれの記事の方で属
This article is part of my new book Rediscovering Mathematics, now in paperback! How to Read Mathematics by Shai Simonson and Fernando Gouvea Mathematics is “a language that can neither be read nor understood without initiation.” 1 A reading protocol is a set of strategies that a reader must use in order to benefit fully from reading the text. Poetry calls for a different set of strategies than fi
Featured articles are displayed here, which represent some of the best content on English Wikipedia. In algebraic geometry and theoretical physics, mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. The term refers to a situation where two Calabi–Yau manifolds look very different geometrically but are nevertheless equivalent when employed as extra dimensions o
Abstract Algebra On Line This site contains many of the definitions and theorems from the area of mathematics generally called abstract algebra. Algorithms and Complexity The links to this book by Herbert Wilf are on his home page. Algorithms Course Materials on the Net A large collection of links. Analysis WebNotes by John Lindsay Orr, University of Nebraska, Lincoln Calculus&Mathematica, Univers
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