Variety
Woke up this morning, lying in bed, he felt a sense of powerlessness.
Regardless of how the epidemic now, I have to believe in myself.
No matter what tomorrow, I want a nice wonderful today.
Pick up a functional analysis of textbooks began to read aloud the "order", the deeper the level of mathematical knowledge, the more power required to support the language, each discipline is so right. (My poor language skills, reading it again and maybe we order it knew what the authors say is.)
Paragraph content analysis
Compact operator sequence regarding the content of passages spectral theory of the four sentences to speak, as follows:
The first sentence is a compact operator spectral theory of the introduction , the author's approach is to introduce the theory of context, so that readers have a comprehensive understanding, specifically the use of linear algebraic equations solvability discussion begins; (Algebraic methods）
The second sentence is compact operators Spectral Theorem proof , the proof of bedding can be divided into three steps:
- Contrast integral equation
- One by one "translation" (Fredholm conclusion ------ geometry of linear subspace) (Algebraic methods）
- Analysis of the similarities and differences (between poor dimensional problem and have infinite dimensional problems in the spectral range set Operator similarities and differences)
gives proof;
The third sentence is compact operators Spectral Theorem application , the application of this to the elliptic boundary value solvability and eigenvalue problem discussed go;
The fourth sentence is a combination of modern mathematics development needs, in order to elicit an example of Fredholm operator, export index formula.
See Chapter Four specific content of textbooks, specific framework should be is said above.
