Analysis of Dirac Systems and Computational Algebra - Info and Reading Options
By Fabrizio Colombo
"Analysis of Dirac Systems and Computational Algebra" was published by Birkhäuser Boston in 2004 - Boston, MA, it has 332 pages and the language of the book is English.
“Analysis of Dirac Systems and Computational Algebra” Metadata:
- Title: ➤ Analysis of Dirac Systems and Computational Algebra
- Author: Fabrizio Colombo
- Language: English
- Number of Pages: 332
- Publisher: Birkhäuser Boston
- Publish Date: 2004
- Publish Location: Boston, MA
“Analysis of Dirac Systems and Computational Algebra” Subjects and Themes:
- Subjects: ➤ Mathematics - Mathematical physics - Matrix theory - Partial Differential equations - Algebra - Differential equations, partial - Matrix Theory Linear and Multilinear Algebras - Mathematical Methods in Physics - Numerical and Computational Physics
Edition Specifications:
- Format: [electronic resource] /
- Pagination: 1 online resource (xv, 332 p.)
Edition Identifiers:
- The Open Library ID: OL27016638M - OL19826259W
- Online Computer Library Center (OCLC) ID: 853269915
- ISBN-13: 9781461264699 - 9780817681661
- ISBN-10: 1461264693 - 0817681663
- All ISBNs: 1461264693 - 0817681663 - 9781461264699 - 9780817681661
AI-generated Review of “Analysis of Dirac Systems and Computational Algebra”:
"Analysis of Dirac Systems and Computational Algebra" Table Of Contents:
- 1- Preface
- 2- Background Material
- 3- Computational Algebraic Analysis for Systems of Linear Constant Coefficients Differential Equations
- 4- The Cauchy-Fueter Systems and its Variations
- 5- Special First Order Systems in Clifford Analysis
- 6- Some First Order Linear Operators in Physics
- 7- Open Problems and Avenues for Further Research
- 8- References
- 9- Index.
"Analysis of Dirac Systems and Computational Algebra" Description:
The Open Library:
The subject of Clifford algebras has become an increasingly rich area of research with a significant number of important applications not only to mathematical physics but to numerical analysis, harmonic analysis, and computer science. The main treatment is devoted to the analysis of systems of linear partial differential equations with constant coefficients, focusing attention on null solutions of Dirac systems. In addition to their usual significance in physics, such solutions are important mathematically as an extension of the function theory of several complex variables. The term "computational" in the title emphasizes two main features of the book, namely, the heuristic use of computers to discover results in some particular cases, and the application of Gröbner bases as a primary theoretical tool. Knowledge from different fields of mathematics such as commutative algebra, Gröbner bases, sheaf theory, cohomology, topological vector spaces, and generalized functions (distributions and hyperfunctions) is required of the reader. However, all the necessary classical material is initially presented. The book may be used by graduate students and researchers interested in (hyper)complex analysis, Clifford analysis, systems of partial differential equations with constant coefficients, and mathematical physics.
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