Mathematics New and revised edition Eigenvalue Problem 30 Lecture / Koji Shiga

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Mathematics
[Introduction to the Contents]
0 The long-selling book published in 1989 has been renewed to an easy-to-read edition.
0 The book is best suited for beginners, which explains from familiar events and gives a solid image to the foundations of abstract modern mathematics.
○ "Starting from the case of a second order matrix, I tried to sketch the path to the spectral decomposition of the operator on the Hilbert space at once.
No. 1 Linear mapping on the plane
No. 2 Finding hidden vectors
No. 3 Complex vector space C2
No. 4 Linear mapping and matrices
No. 3 Eigenvalues and eigenequations
No. 6 Eigenspace
No. 7 Diagonalizable linear mapping
No. 11 Normal operators
No. 12 Hermitian product
No. 9 Orthonormal basis
No. 10 Projection operators, adjoint operators
No. 11 Regular operators
No. 12 Hermitian product
No. 13 Unitary operators and orthogonal operators
No. 14 Integral equations
No. 16 Introduction of Hilbert
No. 17 Hilbert space
No. 18 l2-space
No. 19 Closed subspace
No. 20 Theory of integral equations
No. 16 Introduction of Hilbert
No. 17 Hilbert space
No. 18 l2-space
No. 19 Closed subspace
No. 20 Unbounded operators
No. 24 Towards general autocoupling operators
No. 26 Phase and order of projection operators
No. 23 Decomposition of the complete continuous operator by eigenspace
No. 30 Von Neumann -1929
[Author's brief history] Koji Shiga, Emeritus Professor of Tokyo Institute of Technology, Doctor of Science.
[Author's brief history] Koji Shiga, Emeritus Professor of Tokyo Institute フレードホルム 講内 autocoupling