http://netvouz.com/narky/tag/math?feed=rss narky's bookmarks tagged "math" on Netvouz http://en.wikipedia.org/w/index.php?title=Vector_calculus&oldid=81357662 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. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 24 Oct 2006 08:44:56 GMT http://www.richland.edu/james/lecture/m116/ These notes were written during the Fall 1997 semester to accompany Larson's College Algebra: A Graphing Approach, 2nd edition text. We have moved on to Larson's 4th edition and some sections have changed but I have left them where they are since many people on the Internet find these useful resources. The notes were updated in the Fall 2003 semester to use Cascading Style Sheets and validate as XHTML 1.0 strict web pages. If your browser doesn't support CSS, certain pages (especially those with matrices) will not display properly. Educational > Mathematics > Textbooks/Books narky Sun, 07 Jan 2007 23:51:12 GMT http://en.wikibooks.org/wiki/Differential_Equations 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. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 17 Oct 2006 08:48:46 GMT http://www.amazon.com/Elementary-Topology-Michael-C-Gemignani/dp/0486665224/ref=sr_1_1/103-5101079-6685443?ie=UTF8&s=books&qid=1177900493&sr=1-1 Superb introduction to rapidly expanding area of mathematical thought. Fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory and other essentials. Numerous exercises, plus section on paracompactness and complete regularity. References throughout. Includes 107 illustrations. Educational > Mathematics > Topology Books narky Mon, 30 Apr 2007 02:37:10 GMT http://www.amazon.com/Music-Primes-Searching-Greatest-Mathematics/dp/0060935588/ref=pd_bbs_sr_1/103-7250087-6485431?ie=UTF8&s=books&qid=1178413008&sr=1-1 The quest to bring advanced math to the masses continues with this engaging but quixotic treatise. The mystery in question is the Riemann Hypothesis, named for the hypochondriac German mathematician Bernard Reimann (1826-66), which ties together imaginary numbers, sine waves and prime numbers in a way that the world's greatest mathematicians have spent 144 years trying to prove. Oxford mathematician and BBC commentator du Sautoy does his best to explain the problem, but stumbles over the fact that the Riemann Hypothesis and its corollaries are just too hard for non-tenured readers to understand. He falls back on the staples of math popularizations by shifting the discussion to easier math concepts. Educational > Mathematics > Textbooks/Books narky Sun, 06 May 2007 01:00:13 GMT http://http://www.amazon.com/Topology-2nd-James-Munkres/dp/0131816292/ref=pd_bbs_sr_1/103-5101079-6685443?ie=UTF8&s=books&qid=1177900224&sr=1-1 This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications. Educational > Mathematics > Topology Books narky Mon, 30 Apr 2007 02:35:41 GMT https://alpha2.latrobe.edu.au/patroninfo/1119178/item&1287918 Author: Bushaw, Donald. Title: Elements of general topology. Published: New York : J. Wiley, [1963]. Educational > Mathematics > Topology Books narky Fri, 11 May 2007 00:51:43 GMT http://planetmath.org/encyclopedia/AnyTopologicalSpaceWithTheFixedPointPropertyIsConnected.html Theorem Any topological space with the fixed-point property is connected. Proof. We will prove the contrapositive. .... Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Fri, 27 Apr 2007 04:24:36 GMT http://mathforum.org/ The Math Forum Is... ... the leading online resource for improving math learning, teaching, and communication since 1992. _We are teachers, mathematicians, researchers, students, and parents using the power of the Web to learn math and improve math education. _We offer a wealth of problems and puzzles; online mentoring; research; team problem solving; collaborations; and professional development. Students have fun and learn a lot. Educators share ideas and acquire new skills. _ Educational > Mathematics narky Mon, 02 Oct 2006 08:32:07 GMT http://www.slate.com/id/2060110 Here's what's true in Ron Howard's movie A Beautiful Mind—or, at least, here's what corresponds to Sylvia Nasar's biography of the same name: The mathematician John Forbes Nash Jr. attended graduate school at Princeton, where he was arrogant, childish, and brilliant. His doctoral thesis on the so-called "Nash equilibrium" revolutionized economics. Over time, he began to suffer delusions. He was hospitalized for paranoid schizophrenia, administered insulin shock therapy, and released... Educational > Mathematics > People narky Sat, 21 Oct 2006 12:58:35 GMT