Diferencia entre álgebra, analisis matematico...

[тαптяα]

Necesito ayuda, pues voy a empezar a dar unas nuevas asignaturas, llamadas respectivamente:

Álgebra

Análisis matemático

Matemática discreta

Estadística(que si que sé lo que voy a dar)

Principalmente saber las ddiferencias entre las 3 que he puesto arriba . Muchas gracias

Saludos

[Queta]

Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.

http://en.wikipedia.org/wiki/Algebra

Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions. These theories are often studied in the context of real numbers, complex numbers, and real and complex functions. Analysis may be conventionally distinguished from geometry. However, theories of analysis can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or, more specifically, distance (a metric space).

http://en.wikipedia.org/wiki/Mathematical_analysis

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (sets that have the same cardinality as subsets of the natural numbers, including rational numbers but not real numbers). However, there is no exact, universally agreed, definition of the term "discrete mathematics."Indeed, discrete mathematics is described less by what is included than by what is excluded: continuously varying quantities and related notions.

http://en.wikipedia.org/wiki/Discrete_mathematics

Statistics is the study of the collection, organization, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments.

http://en.wikipedia.org/wiki/Statistics

[Ferno]

Creo que con las definiciones de la wikipedia te puedes hacer una idea. Sino puedes entrar a ver el plan de estudios de alguna universidad con respecto a estas materias, siempre tienen un temario resumido de cada una. Puedes buscar en la internet algunos de los temas y te darás una idea relativamente buena de lo que se te viene.
Exitos en estos primeros pasos ingenieriles!

[LOLdium]

Buenas

Pues nada, como ya te han linkeado a wikipedia echa un vistazo y miralo tu mismo, pero yo he cursado las 4 y te puedo decir que matemática discreta es desde mi punto de vista la más entretenida, sobre todo si ves códigos, grafos, relaciones, métodos numéricos...(el mejor tema códigos sin lugar a dudas, para el cual tienes que tener conocimientos de álgebra, así que se puede decir que algo ligadas están...). respecto al resto... pues la facilona será estadística, al menos yo fue en la que menos problemas tuve... xD y el análisis matemático, imagino  que estará dividido en calculo diferencial y calculo integral que imagino que sepas por donde van los tiros...

Na, tan solo te doy mi opinión, si quieres preguntar algo mas ya sabes!

[тαптяα]

Muchas gracias LOLdium.