Kooperativer Bibliotheksverbund

UID:

Umfang: 1 Online-Ressource (435 S.) , Ill.

ISBN: 9783110409475 , 9783110426243

Weitere Ausg.: Erscheint auch als Druck-Ausgabe, Hardcover ISBN 978-3-11-040945-1

Sprache: Englisch

Fachgebiete: Mathematik

Schlagwort(e): Funktionentheorie ; Green-Funktion ; Integraltransformation ; Mathematik ; Mathematische Physik ; Lehrbuch ; Lehrbuch ; Lehrbuch

DOI: 10.2478/9783110409475

URL: Volltext  (kostenfrei)

URL: Volltext  (kostenfrei)

URL: Volltext  (kostenfrei)

URL: Volltext  (Open Access)

URL: Open Access

URL: Cover

URL: Cover

URL: Inhaltstext

URL: Cover

URL: Volltext  (lizenzpflichtig)

URL: Inhaltstext

UID:

Umfang: 1 Online-Ressource (446 p.)

ISBN: 9783110409475 , 9783110426243 , 9783110409475

Inhalt: The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations

Anmerkung: English

Sprache: Englisch

URL: kostenfrei

UID:

Umfang: 1 online resource (445 pages) : , illustrations

Ausgabe: 1st ed.

ISBN: 3-11-042624-2 , 3-11-040947-X

Inhalt: The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and "special functions" of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green's functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.

Anmerkung: Bibliographic Level Mode of Issuance: Monograph , Front matter -- , Contents -- , Foreword -- , 1 Functions of a Complex Variable -- , 2 Cauchy's Theorem -- , 3 The Calculus of Residues -- , 4 Dispersion Representations -- , 5 Analytic Continuation -- , 6 Asymptotic Expansions -- , 7 Padé Approximants -- , 8 Fourier Series and Transforms -- , 9 Ordinary Linear Differential Equations -- , 10 Partial Differential Equations and Boundary Value Problems -- , 11 Special Functions -- , 12 Non-Homogeneous Boundary Value Problems: Green's Functions -- , 13 Integral Equations -- , Bibliography , English

Weitere Ausg.: ISBN 3-11-040945-3

Sprache: Englisch

DOI: 10.2478/9783110409475

UID:

Umfang: 1 online resource (445 pages) : , illustrations

Ausgabe: 1st ed.

ISBN: 3-11-042624-2 , 3-11-040947-X

Inhalt: The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and "special functions" of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green's functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.

Anmerkung: Bibliographic Level Mode of Issuance: Monograph , Front matter -- , Contents -- , Foreword -- , 1 Functions of a Complex Variable -- , 2 Cauchy's Theorem -- , 3 The Calculus of Residues -- , 4 Dispersion Representations -- , 5 Analytic Continuation -- , 6 Asymptotic Expansions -- , 7 Padé Approximants -- , 8 Fourier Series and Transforms -- , 9 Ordinary Linear Differential Equations -- , 10 Partial Differential Equations and Boundary Value Problems -- , 11 Special Functions -- , 12 Non-Homogeneous Boundary Value Problems: Green's Functions -- , 13 Integral Equations -- , Bibliography , English

Weitere Ausg.: ISBN 3-11-040945-3

Sprache: Englisch

DOI: 10.2478/9783110409475

UID:

Umfang: 1 online resource (445 pages) : , illustrations

Ausgabe: 1st ed.

ISBN: 3-11-042624-2 , 3-11-040947-X

Inhalt: The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and "special functions" of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green's functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.

Anmerkung: Bibliographic Level Mode of Issuance: Monograph , Front matter -- , Contents -- , Foreword -- , 1 Functions of a Complex Variable -- , 2 Cauchy's Theorem -- , 3 The Calculus of Residues -- , 4 Dispersion Representations -- , 5 Analytic Continuation -- , 6 Asymptotic Expansions -- , 7 Padé Approximants -- , 8 Fourier Series and Transforms -- , 9 Ordinary Linear Differential Equations -- , 10 Partial Differential Equations and Boundary Value Problems -- , 11 Special Functions -- , 12 Non-Homogeneous Boundary Value Problems: Green's Functions -- , 13 Integral Equations -- , Bibliography , English

Weitere Ausg.: ISBN 3-11-040945-3

Sprache: Englisch

DOI: 10.2478/9783110409475