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1975 pages, 26th April 2005

Abstract:

From the Contents: Foundations of Mathematics 1. concepts in set theory 21 Algebra 1. topic entry on linear algebra 2. concepts in abstract algebra 3. concepts in linear algebra 4. matrices of special form 5. bibliography for group theory Geometry 1. topic entry on geometry 2. algebraic geometry 3. bibliography for algebraic geometry 4. bibliography for differential geometry 5. fundamental concepts in differential geometry 6. concepts in symplectic geometry Topology 1. index of properties of topolological spaces 2. bibliography for topology Number Theory 1. Topic entry on number theory 2. Topics on ideal class groups and discriminants, class numbers. 3. the arithmetic of elliptic curves 4. cryptography and number theory 5. bibliography for number theory Discrete Mathematics Analysis 1. fundamental theorems in complex analysis 2. potential theory 3. a list of common function spaces 4. measure theory 5. functional analysis 6. index of special functions Applied Mathematics 1. numerical analysis 2. probability 3. bibliography for probability 4. statistics 5. bibliography for statistics 6. mathematics in computer science 7. mathematics in natural sciences 8. mathematics in social sciences Miscellaneous 1. mathematics vocabulary 2. mathematics education 3. biographies on PlanetMath

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Open access: GNUL Copyright @2003-2005 Joseph Corneli, Aaron Krowne, and Ross Moore. Copyright2001-2005 PlanetMath.org authors. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation Licence, Version 1.1 or any later version published by the Free Software Foundation; with no Invariant Sections, with one Front-Cover Text being math available to people around the world.and with no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation Licence". GNU Free Documentation License, Version 1.2, November 2002 Copyright@2000,2001,2002 Free Software Foundation, Inc. 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed.

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