Outline of mathematics
From Infogalactic: the planetary knowledge core
Mathematics 

Alphabetical indices 
0–9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 
Mathematicians 
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 
Navigation 

The following outline is provided as an overview of and topical guide to mathematics:
Mathematics – the search for fundamental truths in pattern, quantity, and change. For more on the relationship between mathematics and science, refer to the article on science.
Nature of mathematics
 Definitions of mathematics – Mathematics has no generally accepted definition. Different schools of thought, particularly in philosophy, have put forth radically different definitions, all of which are controversial.
 Philosophy of mathematics – its aim is to provide an account of the nature and methodology of mathematics and to understand the place of mathematics in people's lives.
Mathematics is
 an academic discipline – branch of knowledge that is taught and researched at the college or university level. Disciplines are defined (in part), and recognized by the academic journals in which research is published, and the learned societies and academic departments or faculties to which their practitioners belong.
 a formal science – branch of knowledge concerned with the properties of formal systems based on definitions and rules of inference. Unlike other sciences, the formal sciences are not concerned with the validity of theories based on observations in the real world.
General reference
Classification systems
 Mathematics in the Dewey Decimal Classification system
 Mathematics Subject Classification – alphanumerical classification scheme collaboratively produced by staff of and based on the coverage of the two major mathematical reviewing databases, Mathematical Reviews and Zentralblatt MATH.
Reference databases
 Mathematical Reviews – journal and online database published by the American Mathematical Society (AMS) that contains brief synopses (and occasionally evaluations) of many articles in mathematics, statistics and theoretical computer science.
 Zentralblatt MATH – service providing reviews and abstracts for articles in pure and applied mathematics, published by Springer Science+Business Media. It is a major international reviewing service which covers the entire field of mathematics. It uses the Mathematics Subject Classification codes for organizing their reviews by topic.
Subjects
Quantity
Quantity –
 Arithmetic –
 Natural numbers –
 Integers –
 Rational numbers –
 Real numbers –
 Complex numbers –
 Hypercomplex numbers –
 Infinity –
Structure
Space
Space –
 Geometry –
 Algebraic geometry –
 Trigonometry –
 Differential geometry –
 Topology –
 Fractal geometry –
Change
Change –
Foundations and philosophy
Mathematical logic
Discrete mathematics
Applied mathematics
 Mathematical physics –
 Analytical mechanics –
 Mathematical fluid dynamics –
 Numerical analysis –
 Mathematical optimization –
 Probability –
 Statistics –
 Mathematical economics –
 Financial mathematics –
 Game theory –
 Mathematical biology –
 Cryptography –
 Operations research –
 Information theory –
 Control theory –
 Dynamical systems –
History
 Babylonian mathematics
 Egyptian mathematics
 Indian mathematics
 Greek mathematics
 Chinese mathematics
 History of the Hindu–Arabic numeral system
 Islamic mathematics
 Japanese mathematics
 History of algebra
 History of geometry
 History of mathematical notation
 History of trigonometry
 History of writing numbers
Psychology
 Mathematics education
 Numeracy
 Numerical Cognition
 Subitizing
 Mathematical anxiety
 Dyscalculia
 Acalculia
 Ageometresia
 Number sense
 Numerosity adaptation effect
 Approximate number system
 Mathematical maturity
Influential mathematicians
Mathematical notation
 List of mathematical abbreviations
 List of mathematical symbols
 List of mathematical symbols by subject
 Table of mathematical symbols by introduction date
 Notation in probability and statistics
 Table of logic symbols
 Physical constants
 Greek letters used in mathematics, science, and engineering
 Latin letters used in mathematics
 Mathematical alphanumeric symbols
 Mathematical operators and symbols in Unicode
 ISO 3111 (Mathematical signs and symbols for use in physical sciences and technology)
See also
External links
Definitions from Wiktionary  
Media from Commons  
News stories from Wikinews  
Quotations from Wikiquote  
Source texts from Wikisource  
Textbooks from Wikibooks  
Learning resources from Wikiversity 