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Manycorrections and updates have been incorporated in this new edition. Updates include discussions of random matrix theory and quantum chaos, as well as recent research on modular forms and their corresponding L-functions in higher rank. Many applications have been added, such as the solution of the heat equation on Pn, the central limit theorem of Donald St. P. Richards for Pn, results on densest lattice packing of spheres in Euclidean space, and GL(n)-analogs of the Weyl law for eigenvalues of the Laplacian in plane domains.
Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, fundamental domains in X for discrete groups ¿ (such as the modular group GL(n,Z) of n x n matrices with integer entries and determinant ±1), connections with the problem of finding densest lattice packings of spheres in Euclidean space, automorphic forms, Hecke operators, L-functions, and the Selberg trace formula and its applications in spectral theory as well as number theory.
Manycorrections and updates have been incorporated in this new edition. Updates include discussions of random matrix theory and quantum chaos, as well as recent research on modular forms and their corresponding L-functions in higher rank. Many applications have been added, such as the solution of the heat equation on Pn, the central limit theorem of Donald St. P. Richards for Pn, results on densest lattice packing of spheres in Euclidean space, and GL(n)-analogs of the Weyl law for eigenvalues of the Laplacian in plane domains.
Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, fundamental domains in X for discrete groups ¿ (such as the modular group GL(n,Z) of n x n matrices with integer entries and determinant ±1), connections with the problem of finding densest lattice packings of spheres in Euclidean space, automorphic forms, Hecke operators, L-functions, and the Selberg trace formula and its applications in spectral theory as well as number theory.
New edition extensively revised and updated
Includes many new figures and examples
New topics include random matrix theory and quantum chaos
Includes recent work on modular forms and their corresponding L-functions in higher rank, the heat equation on Pn solution, the central limit theorem for Pn, densest lattice packing of spheres in Euclidean space, and much more
Includes supplementary material: [...]
Erscheinungsjahr: | 2016 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Seiten: | 508 |
Inhalt: |
xv
487 S. 20 s/w Illustr. 21 farbige Illustr. 487 p. 41 illus. 21 illus. in color. |
ISBN-13: | 9781493934065 |
ISBN-10: | 1493934066 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: | Terras, Audrey |
Auflage: | 2nd ed. 2016 |
Hersteller: |
Springer US
Springer New York |
Maße: | 241 x 160 x 33 mm |
Von/Mit: | Audrey Terras |
Erscheinungsdatum: | 27.04.2016 |
Gewicht: | 0,922 kg |
New edition extensively revised and updated
Includes many new figures and examples
New topics include random matrix theory and quantum chaos
Includes recent work on modular forms and their corresponding L-functions in higher rank, the heat equation on Pn solution, the central limit theorem for Pn, densest lattice packing of spheres in Euclidean space, and much more
Includes supplementary material: [...]
Erscheinungsjahr: | 2016 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Seiten: | 508 |
Inhalt: |
xv
487 S. 20 s/w Illustr. 21 farbige Illustr. 487 p. 41 illus. 21 illus. in color. |
ISBN-13: | 9781493934065 |
ISBN-10: | 1493934066 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: | Terras, Audrey |
Auflage: | 2nd ed. 2016 |
Hersteller: |
Springer US
Springer New York |
Maße: | 241 x 160 x 33 mm |
Von/Mit: | Audrey Terras |
Erscheinungsdatum: | 27.04.2016 |
Gewicht: | 0,922 kg |