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Recently, when implementing algorithms. Feel the lack of knowledge of mathematics, here
-------------------------------------------------- calculus --------------------------------------------- -------------
Calculus Open Class:
mit: univariate calculus
http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/
Http://v.163.com/special/sp/singlevariablecalculus.html
mit: Many variable Calculus
Http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/index.htm
Http://v.163.com/special/opencourse/multivariable.html
MIT Open Course: Calculus Highlights
Http://v.163.com/special/opencourse/weijifen.html
-Linear algebra
MIT Open Class: Linear algebra
http://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/
Http://v.163.com/special/opencourse/daishu.html
Khan Academy Linear Algebra
Http://v.163.com/special/Khan/linearalgebra.html
-----------------------------------------------------------discrete mathematics --------------------------------------------------------------
Discrete mathematics is the traditional logic. Set theory (inclusive function), number theory basis. Algorithm design, combinatorial analysis, discrete probability. Relationship theory. Graph theory and tree. Abstract algebra (including algebraic systems, groups, loops, domains, etc.). Boolean algebra, computational models (language and self-initiative), and so on together a comprehensive subject.
The application of discrete mathematics covers many fields of modern science and technology.
Lessons: set theory and graph theory, algebraic structure and combinatorial mathematics, mathematical logic.
Discrete Mathematics 55
http://www.da-fan-shu.cn/20091022_468/
Http://v.ku6.com/playlist/index_3285170.html Jiaotong University
--------probability theory
Probability theory is a branch of mathematics that studies the quantity law of stochastic phenomena. The stochastic phenomenon is relative to the decisive phenomenon. The phenomenon that certain results must occur under certain conditions is called the decisive phenomenon.
For example, in the standard atmospheric pressure, pure water heated to 100 ℃ when the waters will certainly boil and so on.
Random phenomenon refers to the condition that the basic conditions are not changed. Before each trial or observation, it is not certain that the outcome will occur, presenting a contingency.
For example, a coin toss may appear on the front or the opposite side. The realization of stochastic phenomena and its observation are called randomized trials. Each possible result of a randomized trial is called a basic event, or a set of basic events collectively referred to as random events. or abbreviation event. Typical randomised trials include dice, coin toss, poker and roulette.
The probability of an event is a measure of the likelihood of the occurrence of the event. Although the occurrence of an event in a randomized trial is incidental, random trials that can be repeated under the same conditions tend to show a significant number of laws. Basic http://v.ku6.com/playlist/index_3289748.html
Calculus based on algorithm--linear algebra--Discrete mathematics