Author: J. G. Hamilton
Publisher:
ISBN:
Category : Equations, Quadratic
Languages : en
Pages : 64
Book Description
Graphs and Imaginaries
Author: J. G. Hamilton
Publisher:
ISBN:
Category : Equations, Quadratic
Languages : en
Pages : 64
Book Description
Publisher:
ISBN:
Category : Equations, Quadratic
Languages : en
Pages : 64
Book Description
Spectral Geometry of Graphs
Author: Pavel Kurasov
Publisher: Springer Nature
ISBN: 3662678721
Category : Science
Languages : en
Pages : 644
Book Description
This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph. The book has two central themes: the trace formula and inverse problems. The trace formula is relating the spectrum to the set of periodic orbits and is comparable to the celebrated Selberg and Chazarain-Duistermaat-Guillemin-Melrose trace formulas. Unexpectedly this formula allows one to construct non-trivial crystalline measures and Fourier quasicrystals solving one of the long-standing problems in Fourier analysis. The remarkable story of this mathematical odyssey is presented in the first part of the book. To solve the inverse problem for Schrödinger operators on metric graphs the magnetic boundary control method is introduced. Spectral data depending on the magnetic flux allow one to solve the inverse problem in full generality, this means to reconstruct not only the potential on a given graph, but also the underlying graph itself and the vertex conditions. The book provides an excellent example of recent studies where the interplay between different fields like operator theory, algebraic geometry and number theory, leads to unexpected and sound mathematical results. The book is thought as a graduate course book where every chapter is suitable for a separate lecture and includes problems for home studies. Numerous illuminating examples make it easier to understand new concepts and develop the necessary intuition for further studies.
Publisher: Springer Nature
ISBN: 3662678721
Category : Science
Languages : en
Pages : 644
Book Description
This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph. The book has two central themes: the trace formula and inverse problems. The trace formula is relating the spectrum to the set of periodic orbits and is comparable to the celebrated Selberg and Chazarain-Duistermaat-Guillemin-Melrose trace formulas. Unexpectedly this formula allows one to construct non-trivial crystalline measures and Fourier quasicrystals solving one of the long-standing problems in Fourier analysis. The remarkable story of this mathematical odyssey is presented in the first part of the book. To solve the inverse problem for Schrödinger operators on metric graphs the magnetic boundary control method is introduced. Spectral data depending on the magnetic flux allow one to solve the inverse problem in full generality, this means to reconstruct not only the potential on a given graph, but also the underlying graph itself and the vertex conditions. The book provides an excellent example of recent studies where the interplay between different fields like operator theory, algebraic geometry and number theory, leads to unexpected and sound mathematical results. The book is thought as a graduate course book where every chapter is suitable for a separate lecture and includes problems for home studies. Numerous illuminating examples make it easier to understand new concepts and develop the necessary intuition for further studies.
Discrete and Computational Geometry and Graphs
Author: Jin Akiyama
Publisher: Springer
ISBN: 3319132873
Category : Computers
Languages : en
Pages : 199
Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 16th Japanese Conference on Discrete and computational Geometry and Graphs, JDCDGG 2013, held in Tokyo, Japan, in September 2013. The total of 16 papers included in this volume was carefully reviewed and selected from 58 submissions. The papers feature advances made in the field of computational geometry and focus on emerging technologies, new methodology and applications, graph theory and dynamics.
Publisher: Springer
ISBN: 3319132873
Category : Computers
Languages : en
Pages : 199
Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 16th Japanese Conference on Discrete and computational Geometry and Graphs, JDCDGG 2013, held in Tokyo, Japan, in September 2013. The total of 16 papers included in this volume was carefully reviewed and selected from 58 submissions. The papers feature advances made in the field of computational geometry and focus on emerging technologies, new methodology and applications, graph theory and dynamics.
Proceedings
Author: American Association for the Advancement of Science
Publisher:
ISBN:
Category : American periodicals
Languages : en
Pages : 546
Book Description
Publisher:
ISBN:
Category : American periodicals
Languages : en
Pages : 546
Book Description
Bulletin (new Series) of the American Mathematical Society
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 560
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 560
Book Description
Bulletin of the American Mathematical Society
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 636
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 636
Book Description
Proceedings of the American Association for the Advancement of Science
Author: American Association for the Advancement of Science
Publisher:
ISBN:
Category :
Languages : en
Pages : 548
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 548
Book Description
Proceedings of the American Association for the Advancement of Science
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 548
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 548
Book Description
Imaginary Plots and Political Realities in the Plays of William Congreve
Author: Maximillian E. Novak
Publisher: Anthem Press
ISBN: 1785273736
Category : Literary Criticism
Languages : en
Pages : 146
Book Description
William Congreve was deeply involved in the events of his turbulent times. That involvement reveals itself in works which have sometimes been regarded as entirely unengaged with the realities of his society. This book attempts to read Congreve’s plays and his novella, Incognita, against the political and social upheaval of the period initiated by the rebellion of 1688. A strong supporter of the new world ushered in by William III and Mary, Congreve fought against the reactionary politics of the Jacobite opposition.
Publisher: Anthem Press
ISBN: 1785273736
Category : Literary Criticism
Languages : en
Pages : 146
Book Description
William Congreve was deeply involved in the events of his turbulent times. That involvement reveals itself in works which have sometimes been regarded as entirely unengaged with the realities of his society. This book attempts to read Congreve’s plays and his novella, Incognita, against the political and social upheaval of the period initiated by the rebellion of 1688. A strong supporter of the new world ushered in by William III and Mary, Congreve fought against the reactionary politics of the Jacobite opposition.
The Theory of the Imaginary in Geometry
Author: John Leigh Smeathman Hatton
Publisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 246
Book Description
Publisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 246
Book Description