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Logarithms and Antilogarithms - D. Przeworska-Rolewicz

Logarithms and Antilogarithms

An Algebraic Analysis Approach
Buch | Hardcover
357 Seiten
1998 | 1998 ed.
Springer (Verlag)
978-0-7923-4974-7 (ISBN)
CHF 149,75 inkl. MwSt
Proposes and explores a 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. This volume is intended for research mathematicians and other scientists of other disciplines whose work involves the solution of equations.

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.

Reihe/Serie Mathematics and Its Applications ; 437
Mathematics and Its Applications ; 437
Zusatzinfo IX, 357 p.
Verlagsort Dordrecht
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
ISBN-10 0-7923-4974-1 / 0792349741
ISBN-13 978-0-7923-4974-7 / 9780792349747
Zustand Neuware
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