Brief Introduction of Computer Mathematics Volume of Modern Mathematics Manual
As a mathematical reference book, what characteristics does this giant manual require? In the process of writing, the person in charge of the publishing house and we reached a consensus that the manual should be scientific, advanced, practical, standardized and concise. More than 200 authors and reviewers have made efforts according to these characteristics and requirements, and we would like to thank them for their full cooperation and efforts, so that the manual basically reflects the above-mentioned expected characteristics or characteristics.
This series is a key publishing project of the ninth five-year plan. For the convenience of readers, this manual is published in five volumes, which are called classic mathematics volume, modern mathematics volume, computer mathematics volume, random mathematics volume and economic mathematics volume respectively. It should be pointed out that the ownership of each volume (title) is relative, and the balance of each volume is considered here. For example, the article "Monte Carlo Method" can also be classified as "Computer Mathematics Volume".
Modern mathematics handbook computer mathematics fascicle book catalogue
Classical mathematics volume
1 calculus
Chapter II Infinite Series and Generalized Integrals
The third higher algebra
Chapter IV Matrix Theory
Chapter V Differential Geometry
Chapter VI Theory of Complex Variable Functions
Chapter VII Real Variable Functions
Article 8 Special Functions
Chapter 9 Integral Transformation and Series Exchange
10 chapter ordinary differential equations
1 1 difference equation
12 chapter integral equation
13 chapter partial differential equations
Chapter 14 variation
15 several theoretical calculations
16 group essays
Appendix 1 elementary algebra
Appendix 2 Plane Triangle
Appendix 3 Euclidean geometry
Appendix 4 Analytic Geometry
Modern mathematics volume
Chapter 65438 +0 Mathematical Logic
The second piece of combinatorial mathematics
The third graph theory
The fourth chapter topology
Chapter 5 Calculus on Manifolds
Chapter 6 Lie Groups and Lie Algebras
Chapter VII Functional Analysis
Chapter 8 Fourier analysis
Chapter 9 Generalized Functions
10 chapter stability theory of ordinary differential equations
1 1 Chapter Theory of Geometric Ordinary Differential Equations
12 chapter general function differential equation
Chapter 13 modern partial differential equation theory
Chapter 14 bifurcation theory
Chapter 15 Variational Inequalities
16 power system
17 asymptotic analysis method
18 chapter function approximation method
Chapter 19 Spline Function
Chapter 20 Fractal Geometry
2 1 biological mathematics
Computer mathematics volume
Chapter 1 Numerical Analysis
Chapter II Numerical Algebra
Chapter 3 Finite Element Method and Boundary Element Method
The fourth chapter is the difference method in computational fluid dynamics.
Chapter 5 Multi-grid Method
Chapter VI Domain Decomposition Method
Chapter 7 Wavelet Analysis
Chapter 8 Petri nets
Chapter 9 Grid Optimization
……
Brief Introduction of Modern Mathematics Volume of Modern Mathematics Handbook
This volume includes mathematical logic, combinatorial mathematics, graph theory, topology, functional analysis, generalized functions, geometric theory of ordinary differential equations, bifurcation theory, fractal geometry and so on.
Modern mathematics handbook modern mathematics fascicle catalogue
Chapter 65438 +0 Mathematical Logic
The second piece of combinatorial mathematics
The third graph theory
The fourth chapter topology
Chapter 5 Calculus on Manifolds
Chapter 6 Lie Groups and Lie Algebras
Chapter VII Functional Analysis
Chapter 8 Fourier analysis
Chapter 9 Generalized Functions
10 chapter stability theory of ordinary differential equations
1 1 Chapter Theory of Geometric Ordinary Differential Equations
12 chapter functional differential equations
Chapter 13 modern partial differential equation theory
Chapter 14 bifurcation theory
Chapter 15 Variational Inequalities
16 power system
17 asymptotic analysis method
18 chapter function approximation method
Chapter 19 Spline Function
Chapter 20 Fractal Geometry
2 1 biological mathematics
index
You can choose what you like in this 2 1 section. Personally, I think it will be easier to start with logic or differentiation.