eBooks, eBook Download (PDF), The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in di… Meer...
eBooks, eBook Download (PDF), The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played by the differential dimension polynomials. The notion of differential dimension polynomial was introduced by E. Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history. Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations. The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations. Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open. There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing. At the beginning of the 20th century algebraic methods in the theory of differen- tial equations were actively developed by F. Riquier [RiqlO] and M. [PU: Springer Netherlands], Springer Netherlands, 2013<
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played b… Meer...
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played by the differential dimension polynomials. The notion of differential dimension polynomial was introduced by E. Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history. Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations. The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations. Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open. There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing. At the beginning of the 20th century algebraic methods in the theory of differen tial equations were actively developed by F. Riquier [RiqlO] and M. Books > Mathematics eBook, Springer Shop<
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The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known.A similar role in differential algebra is played by… Meer...
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known.A similar role in differential algebra is played by the differential dimension polynomials.The notion of differential dimension polynomial was introduced by E.Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history.Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations.The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations.Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open.There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing.At the beginning of the 20th century algebraic methods in the theory of differen- tial equations were actively developed by F.Riquier [RiqlO] and M.; PDF; Scientific, Technical and Medical > Mathematics > Algebra, Springer Netherlands<
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The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known.A similar role in differential algebra is played by… Meer...
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known.A similar role in differential algebra is played by the differential dimension polynomials.The notion of differential dimension polynomial was introduced by E.Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history.Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations.The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations.Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open.There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing.At the beginning of the 20th century algebraic methods in the theory of differen- tial equations were actively developed by F.Riquier [RiqlO] and M.; PDF; Scientific, Technical and Medical > Mathematics > Algebra, Springer Netherlands<
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The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played b… Meer...
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played by the differential dimension polynomials. The notion of differential dimension polynomial was introduced by E. Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history. Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations. The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations. Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open. There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing. At the beginning of the 20th century algebraic methods in the theory of differen tial equations were actively developed by F. Riquier [RiqlO] and M., Springer<
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eBooks, eBook Download (PDF), The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in di… Meer...
eBooks, eBook Download (PDF), The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played by the differential dimension polynomials. The notion of differential dimension polynomial was introduced by E. Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history. Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations. The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations. Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open. There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing. At the beginning of the 20th century algebraic methods in the theory of differen- tial equations were actively developed by F. Riquier [RiqlO] and M. [PU: Springer Netherlands], Springer Netherlands, 2013<
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played b… Meer...
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played by the differential dimension polynomials. The notion of differential dimension polynomial was introduced by E. Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history. Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations. The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations. Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open. There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing. At the beginning of the 20th century algebraic methods in the theory of differen tial equations were actively developed by F. Riquier [RiqlO] and M. Books > Mathematics eBook, Springer Shop<
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The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known.A similar role in differential algebra is played by… Meer...
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known.A similar role in differential algebra is played by the differential dimension polynomials.The notion of differential dimension polynomial was introduced by E.Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history.Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations.The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations.Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open.There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing.At the beginning of the 20th century algebraic methods in the theory of differen- tial equations were actively developed by F.Riquier [RiqlO] and M.; PDF; Scientific, Technical and Medical > Mathematics > Algebra, Springer Netherlands<
No. 9789401712576. Verzendingskosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten., exclusief verzendingskosten
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known.A similar role in differential algebra is played by… Meer...
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known.A similar role in differential algebra is played by the differential dimension polynomials.The notion of differential dimension polynomial was introduced by E.Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history.Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations.The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations.Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open.There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing.At the beginning of the 20th century algebraic methods in the theory of differen- tial equations were actively developed by F.Riquier [RiqlO] and M.; PDF; Scientific, Technical and Medical > Mathematics > Algebra, Springer Netherlands<
No. 9789401712576. Verzendingskosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten., exclusief verzendingskosten
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played b… Meer...
The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known. A similar role in differential algebra is played by the differential dimension polynomials. The notion of differential dimension polynomial was introduced by E. Kolchin in 1964 [KoI64]' but the problems and ideas that had led to this notion (and that are reflected in this book) have essentially more long history. Actually, one can say that the differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations. The first attempts of such description were made at the end of 19th century by Jacobi [Ja890] who estimated the number of algebraically independent constants in the general solution of a system of linear ordinary differential equations. Later on, Jacobi's results were extended to some cases of nonlinear systems, but in general case the problem of such estimation (that is known as the problem of Jacobi's bound) remains open. There are some generalization of the problem of Jacobi's bound to the partial differential equations, but the results in this area are just appearing. At the beginning of the 20th century algebraic methods in the theory of differen tial equations were actively developed by F. Riquier [RiqlO] and M., Springer<
Nr. 978-94-017-1257-6. Verzendingskosten:Worldwide free shipping, , DE. (EUR 0.00)
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Bibliografische gegevens van het best passende boek
Boek bevindt zich in het datenbestand sinds 2016-01-11T09:05:32+01:00 (Amsterdam) Detailpagina laatst gewijzigd op 2024-01-09T06:53:50+01:00 (Amsterdam) ISBN/EAN: 9789401712576
ISBN - alternatieve schrijfwijzen: 978-94-017-1257-6 alternatieve schrijfwijzen en verwante zoekwoorden: Auteur van het boek: kondrat, levin Titel van het boek: right difference, dimension
Gegevens van de uitgever
Auteur: Alexander V. Mikhalev; A.B. Levin; E.V. Pankratiev; M.V. Kondratieva Titel: Mathematics and Its Applications; Differential and Difference Dimension Polynomials Uitgeverij: Springer; Springer Netherland 422 Bladzijden Verschijningsjaar: 2013-03-09 Dordrecht; NL Taal: Engels 96,29 € (DE) 99,00 € (AT) 118,00 CHF (CH) Available XIII, 422 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Combinatorics; algebra; difference equation; number theory; partial differential equation; partial differential equations; C; Algebra; Differential Equations; Discrete Mathematics; Mathematics and Statistics; Differentialrechnung und -gleichungen; Diskrete Mathematik; BC
I. Preliminaries.- II. Numerical Polynomials.- III. Basic Notion of Differential and Difference Algebra.- IV. Gröbner Bases.- V. Differential Dimension Polynomials.- VI. Dimension Polynomials in Difference and Difference-Differential Algebra.- VII. Some Application of Dimension Polynomials in Difference-Differential Algebra.- VIII. Dimension Polynomials of Filtered G-modules and Finitely Generated G-fields Extensions.- IX. Computation of Dimension Polynomials.- References.
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