The
word "mathematics" comes from the word μάθημα (mathema) in Greek is
defined as "the science, science, or study" also μαθηματικός
(mathematikós) which translates as "love to learn".
The major disciplines within mathematics based on the needs of the calculations in commerce, to measure land and to predict astronomical events. These three needs can be roughly related to the broad subdivision of mathematics into the study of structure, space and change.
Lessons about the structure starts with numbers, first and very common is the natural numbers and integers and arimetikanya operations, all of which were spelled out in basic algebra. Properties of integers are studied in greater depth number theory. The investigation of methods to solve mathematical equations studied in abstract algebra, which, among other things, studies rings and fields, structures that generalize the properties common to all numbers. The concept of vectors, generalized to vector spaces and studied in linear algebra, which are included in the two branches of structure and space.
The study of space originates with geometry, Euclidean geometry and trigonometry of three-dimensional space (which can also be applied to other dimensions), but later also generalized to non-Euclidean geometries which play a central role in the theory of general relativity. Some tricky issues about ruler and compass constructions were finally settled by Galois theory. The modern fields of differential geometry and algebraic geometry generalize geometry in different directions :: differential geometry emphasizes the concepts, bundles, derivatives, smoothness and direction, while in algebraic geometry, geometric objects depicted in the form of a set of polynomial equations. Group theory investigates the concept of symmetry abstractly and provides a link between the study of space and structure. Topology connects the study of space and the study of change by focusing on the concept of continuity.
Understanding and describing change in measurable quantities is the common in the natural sciences, and calculus was developed as a tool for the tujauan. The main concept used to explain the change of variables is a function. Many problems lead naturally to relationships between a quantity and its rate of change, and the methods to solve these problems is the topic of differential equations. To represent continuous quantities are the real numbers are used, and the detailed study of their properties and the properties of real-valued functions is known as real analysis. For some reason, very appropriate to generalize the complex numbers are studied in complex analysis. Functional analysis focuses attention on (typically infinite-dimensional) spaces of functions, laying the groundwork for quantum mechanics among many other things. Many phenomena in nature can be described by dynamical systems and chaos theory with the fact that many of the systems yet deterministic that can not be predicted.
In order to explain and investigate the foundations of mathematics, the field theory, mathematical logic and model theory is developed.
When computers were first conceived, several essential theoretical concepts were shaped by mathematicians, leading the field of computability theory, computational complexity theory, information theory and algorithmic information theory. Now a lot of the questions investigated in theoretical computer science. Discrete mathematics is the common name for the fields use mathematics in computer science.
An important field in applied mathematics is statistics, which uses probability theory as a tool and give it a description, analysis and forecasts of phenomena and is used in all of science. Analysis of number theory appropriately investigated to solve various mathematical problems in number on the computer and take a thorough mistake in my laporan.
The major disciplines within mathematics based on the needs of the calculations in commerce, to measure land and to predict astronomical events. These three needs can be roughly related to the broad subdivision of mathematics into the study of structure, space and change.
Lessons about the structure starts with numbers, first and very common is the natural numbers and integers and arimetikanya operations, all of which were spelled out in basic algebra. Properties of integers are studied in greater depth number theory. The investigation of methods to solve mathematical equations studied in abstract algebra, which, among other things, studies rings and fields, structures that generalize the properties common to all numbers. The concept of vectors, generalized to vector spaces and studied in linear algebra, which are included in the two branches of structure and space.
The study of space originates with geometry, Euclidean geometry and trigonometry of three-dimensional space (which can also be applied to other dimensions), but later also generalized to non-Euclidean geometries which play a central role in the theory of general relativity. Some tricky issues about ruler and compass constructions were finally settled by Galois theory. The modern fields of differential geometry and algebraic geometry generalize geometry in different directions :: differential geometry emphasizes the concepts, bundles, derivatives, smoothness and direction, while in algebraic geometry, geometric objects depicted in the form of a set of polynomial equations. Group theory investigates the concept of symmetry abstractly and provides a link between the study of space and structure. Topology connects the study of space and the study of change by focusing on the concept of continuity.
Understanding and describing change in measurable quantities is the common in the natural sciences, and calculus was developed as a tool for the tujauan. The main concept used to explain the change of variables is a function. Many problems lead naturally to relationships between a quantity and its rate of change, and the methods to solve these problems is the topic of differential equations. To represent continuous quantities are the real numbers are used, and the detailed study of their properties and the properties of real-valued functions is known as real analysis. For some reason, very appropriate to generalize the complex numbers are studied in complex analysis. Functional analysis focuses attention on (typically infinite-dimensional) spaces of functions, laying the groundwork for quantum mechanics among many other things. Many phenomena in nature can be described by dynamical systems and chaos theory with the fact that many of the systems yet deterministic that can not be predicted.
In order to explain and investigate the foundations of mathematics, the field theory, mathematical logic and model theory is developed.
When computers were first conceived, several essential theoretical concepts were shaped by mathematicians, leading the field of computability theory, computational complexity theory, information theory and algorithmic information theory. Now a lot of the questions investigated in theoretical computer science. Discrete mathematics is the common name for the fields use mathematics in computer science.
An important field in applied mathematics is statistics, which uses probability theory as a tool and give it a description, analysis and forecasts of phenomena and is used in all of science. Analysis of number theory appropriately investigated to solve various mathematical problems in number on the computer and take a thorough mistake in my laporan.
sumber ; http://zoen-cuteyz.blogspot.com/2007/11/sejarah-matematika.html