实分析教程第2版 成人自考 作者
none
￥ 83.85 6.0折 ￥ 139 全新
库存9件
北京丰台
认证卖家担保交易快速发货售后保障
作者作者
出版社世界图书出版公司
ISBN9787510052637
出版时间2013-04
版次1
装帧其他
开本16
定价139元
货号xhwx_1200454534
上书时间2024-12-11
- 在售商品 暂无
- 平均发货时间 27小时
- 好评率 暂无
商品详情
- 品相描述：全新
- 正版特价新书
- 商品描述
-
目录：
preface
part one set theory，real numbers，and calculus
1 set theory
biography: georg cantor
1.1 basic definitions and properties
1.2 functions and sets
1.3 equivalence of sets； countability
1.4 algebras，σ-algebras，and monotone classes
2 the real number system and calculus
biography: georg friedrich bernhard riemann
2.1 the real number system
2.2 sequences of real numbers
2.3 open and closed sets
2.4 real-valued functions
2.5 the cantor set and cantor function
2.6 the riemann integral
part two measure，integration，and differentiation
3 lebesgue theory on the real line
biography: emile felix-edouard-justin borel
3.1 borel measurable functions and borel sets
3.2 lebesgue outer measure
3.3 further properties of lebesgue outer measure
3.4 lebesgue measure
4 the lebesgue integral on the real line
biography: henri leon lebesgue
4.1 the lebesgue integral for non functions
4.2 convergence properties of the lebesgue integral for
non functions
4.3 the general lebesgue integral
4.4 lebesgue almost everywhere
5 elements of measure theory
biography: constantin carath~odory
5.1 measure spaces
5.2 measurable functions
5.3 the abstract lebesgue integral for non functior
5.4 the general abstract lebesgue integral
5.5 convergence in measure
6 extensions to measures and product measure
biography: guido fubini
6.1 extensions to measures
6.2 the lebesgue-stieltjes integral
6.3 product measure spaces
6.4 iteration of integrals in product measure spaces
7 elements of probability
biography: andrei nikolaevich kolmogorov
7.1 the mathematical model for probability
7.2 random variables
7.3 expectation of random variables
7.4 the law of large numbers
8 differentiation and absolute continuity
biography: giuseppe vitafi
8.1 derivatives and dini-derivates
8.2 functions of bounded variation
8.3 the indefinite lebesgne integral
8.4 absolutely continuous functions
9 signed and plex measures
biography: johann radon
9.1 signed measures
9.2 the radon-nikodym theorem
9.3 signed and plex measures
9.4 deition of measures
9.5 measurable transformati6ns and the general
change-of-variable formula
part three
topological, metric, and normed spaces
10 topologies, metrics, and norms
biography: felix hausdorff
10.1 introduction to topological spaces
10.2 metrics and norms
10.3 weak topologies
10.4 closed sets, convergence, and pleteness
10.5 s and continuity
10.5 separation properties
10.7 connected sets
11 separability and pactness
biography: maurice frechet
11.1 separability, second countability, and metrizability
11.2 pact metric spaces
11.3 pact topological spaces
11.4 locally pact spaces
11.5 function spaces
12 plete and pact spaces
biography: marshall harvey stone
12.1 the baire category theorem
12.2 contractions of plete metric spaces
12.3 pactness in the space c(□, a)
12.4 pactness of product spaces
12.5 appromation by functions from a lattice
12.5 appromation by functions from an algebra
13 hilbert spaces and banach spaces
biography: david hilbert
13.1 preliminaries on normed spaces
13.2 hilbert spaces
13.3 bases and duality in hilbert spaces
13.4 □-spaces
13.5 non linear functionals on c(□)
13.5 the dual spaces of c(□) and c0(□)
14 normed spaces and locally convex spaces
biography: stefan banach
14.1 the hahn-banach theorem
14.2 linear operators on banach spaces
14.3 pact self-adjoint operators
14.4 topological linear spaces
14.5 weak and weak* topologies
14.5 pact convex sets
part four
harmonic analysis, dynamical systems, and hausdorff measure
15 elements of harmonic analysis
biography: ingrid daubechies
15.1 introduction to fourier series
15.2 convergence of fourier series
15.3 the fourier transform
15.4 fourier transforms of measures
15.5 □-theory of the fourier transform
15.5 introduction to wavelets
15.7 orthonormal wavelet bases; the wavelet transform
15 measurable dynamical systems biography: claude e/wood shannon
16.1 introduction and examples
16.2 eric theory
16.3 isomorphism of measurable dynamical systems; entropy
16.4 the kolmogorov-sinai theorem; calculation of entropy
17 hausdorff measure and fractals biography: benoit b. mandelbrot
17.1 outer measure and measurability
17.2 hausdorff measure
17.3 hausdorff dimension and topological dimension
17.4 fractals
index
内容简介：
数学
— 没有更多了 —
以下为对购买帮助不大的评价