Logarithms and Antilogarithms: An Algebraic Analysis Approach (Mathematics and Its Applications) - Softcover
Synopsis
This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with domains and ranges in an algebra over a field of characteristic zero. Several important previously published results are presented. Amongst the applications of logarithmic and antilogarithmic mappings are the solution of linear and nonlinear equations in algebras of square matrices. Some results may also provide numerical algorithms for the approximation of solutions.
Audience: Research mathematicians and other scientists of other disciplines whose work involves the solution of equations.
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Przeworska-Rolewicz:Logarithms and Anti (eng)
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Logarithms and Antilogarithms
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Logarithms and Antilogarithms: An Algebraic Analysis Approach (Mathematics and Its Applications)
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Logarithms and Antilogarithms : An Algebraic Analysis Approach
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Logarithms and Antilogarithms
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Logarithms and Antilogarithms
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Preface. 1. Preliminaries, Introduction to Algebraic Analysis. 2. Basic Equation. Logarithms and Antilogarithms. 3. Logarithms and Antilogarithms of Higher Order. 4. Logarithms and Antilogarithms of Operators Having Either Finite Nullity or Finite Defic. Seller Inventory # 5832823
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Logarithms and Antilogarithms | An Algebraic Analysis Approach
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Taschenbuch. Condition: Neu. Logarithms and Antilogarithms | An Algebraic Analysis Approach | D. Przeworska-Rolewicz | Taschenbuch | ix | Englisch | 2013 | Springer | EAN 9789401061940 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 105565551
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Logarithms and Antilogarithms
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Springer, Springer Okt 2012, 2012
ISBN 10: 9401061947
ISBN 13: 9789401061940
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1. Preliminaries. Introduction to Algebraic Analysis.- 2. Basic equation. Logarithms and antilogarithms.- 3. Logarithms and antilogarithms of higher order.- 4. Logarithms and antilogarithms of operators having either finite nullity or finite deficiency.- 5. Reduction theorems.- 6. Multiplicative case.- 7. Leibniz algebras.- 8. Linear equations in Leibniz algebras.- 9. Trigonometric mappings and elements.- 10. Semigroup properties of solutions to linear equations.- 11. Operator ehD.- 12. Power mappings. Polylogarithmic functions. Nonlinear equations.- 13. Smooth logarithms and antilogarithms.- 14. Riemann-Hilbert type problems in Leibniz algebras.- 15. Periodic problems.- 16. Equations with multiplicative involutions of order N.- 17. Remarks on the fractional calculus.- Appendix. Functional shifts. By Z. Binderman.- A1. Functions of a right invertible operator.- A2. Functional shifts.- A3. Isomorphisms of spaces of functional shifts.- A4. Functional shifts induced by operators of complex differentiation.- A5. Euler-Maclaurin type formulae.- A6. Differential and integral properties.- References.- Authors Index.- List of Symbols.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 372 pp. Englisch. Seller Inventory # 9789401061940
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