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Can I read Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations (Texts in the Mathematical Sciences, 16) on EtoBox?
Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations (Texts in the Mathematical Sciences, 16) by Calvin D. Ahlbrandt, Allan C. Peterson (auth.) is a nonfiction available to read on EtoBox.
What is Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations (Texts in the Mathematical Sciences, 16) about?
This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4 requires the implicit function theorem, but we give a self-contained constructive proof ofthat theorem. The reader willing to accept the implicit function theorem can read the book without an advanced calculus background. Chapter 8 uses the Moore-Penrose pseudo-inverse, but is accessible to students who have facility with matrices. Exercises are placed at those points in the text where they are relevant. For U. S. universities, we intend for the book to be used at the senior undergraduate level or beginning graduate level. Chapter 2, which is on continued fractions, is not essential to the material of the remaining chapters, but is intimately related to the remaining material. Continued fractions provide closed form representations of the extreme solutions of some discrete matrix Riccati equations. Continued fractions solution methods for Riccati difference equations provide an approach analogous to series solution methods for linear differential equations. The book develops several topics which have not been available at this level. In particul
Who reads Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations (Texts in the Mathematical Sciences, 16)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Calvin D. Ahlbrandt, Allan C. Peterson (auth.)
- Publisher
- Springer US : Imprint : Springer
- Published
- 1996
- Language
- EN
- ISBN
- 9781441947635
- Category
- nonfiction
- Subjects
- Mathematics, Stem
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