1.

Record Nr.

UNINA9910783087503321

Autore

Warrack John <1928->

Titolo

German opera [[electronic resource] ] : from the beginnings to Wagner / / John Warrack

Pubbl/distr/stampa

Cambridge ; ; New York, : Cambridge University Press, 2001

ISBN

0-511-09679-8

0-511-15809-2

Descrizione fisica

xiv, 447 p. : 1 map, music

Collana

Cambridge studies in opera

Disciplina

792.1/0943

Soggetti

Opera - Germany

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p. 416-426) and index.



2.

Record Nr.

UNINA9910894924503321

Titolo

Bericht an den Großen Rath der Stadt und Republik Bern über die Staatsverwaltung : in d. ... Jahren

Pubbl/distr/stampa

Bern, : Rätzer, 1814-1874

Bern, : Stämpfli, 1853

Bern, : Jenni, 1845-1852

Bern, : Fischer, früher

Descrizione fisica

Online-Ressource

Classificazione

600

Disciplina

340

Soggetti

Zeitschrift

Lingua di pubblicazione

Tedesco

Formato

Materiale a stampa

Livello bibliografico

Periodico



3.

Record Nr.

UNINA9910741183603321

Autore

Grynkiewicz David J

Titolo

Structural Additive Theory / / by David J. Grynkiewicz

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013

ISBN

9783319004167

3319004166

Edizione

[1st ed. 2013.]

Descrizione fisica

1 online resource (425 p.)

Collana

Developments in Mathematics, , 2197-795X ; ; 30

Disciplina

512

512.814

Soggetti

Number theory

Sequences (Mathematics)

Algebra

Number Theory

Sequences, Series, Summability

Order, Lattices, Ordered Algebraic Structures

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

1. Abelian Groups and Character Sums -- 2. Introduction to Sumsets -- 3. Simple Results for Torsion-Free Abelian Groups -- 4. Basic Results for Sumsets with an Infinite Summand -- 5. The Pigeonhole and Multiplicity Bounds -- 6. Periodic Sets and Kneser's Theorem -- 7. Compression, Complements and the 3k–4 Theorem -- 8. Additive Energy -- 9. Kemperman's Critical Pair Theory -- 10. Zero-Sums, Setpartitions and Subsequence Sums -- 11. Long Zero-Sum Free Sequences over Cyclic Groups -- 12. Pollard's Theorem for General Abelian Groups -- 13. The DeVos–Goddyn–Mohar Theorem -- 14. The Partition Theorem I -- 15. The Partition Theorem II -- 16. The Ψ-Weighted Gao Theorem -- 17. Group Algebras -- 18. Character and Linear Algebraic Methods -- 19. Character Sum and Fourier Analytic Methods -- 20. Freiman Homomorphisms Revisited -- 21. The Isoperimetric Method -- 22. The Polynomial Method -- Index.

Sommario/riassunto

Nestled between number theory, combinatorics, algebra, and analysis lies a rapidly developing subject in mathematics variously known as



additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main objects of study are not abelian groups themselves, but rather the additive structure of subsets and subsequences of an abelian group, i.e. sumsets and subsequence sums. This text is a hybrid of a research monograph and an introductory graduate textbook. With few exceptions, all results presented are self-contained, written in great detail, and only reliant upon material covered in an advanced undergraduate curriculum supplemented with some additional Algebra, rendering this book usable as an entry-level text. However, it will perhaps be of even more interest to researchers already in the field. The majority of material is not found in book form and includes many new results as well. Even classical results, when included, are given in greater generality or using new proof variations. The text has a particular focus on results of a more exact and precise nature, results with strong hypotheses and yet stronger conclusions, and on fundamental aspects of the theory. Also included are intricate results often neglected in other texts owing to their complexity. Highlights include an extensive treatment of Freiman Homomorphisms and the Universal Ambient Group of sumsets A+B, an entire chapter devoted to Hamidoune’s Isoperimetric Method, a novel generalization allowing infinite summands in finite sumset questions, weighted zero-sum problems treated in the general context of viewing homomorphisms as weights, and simplified proofs of the Kemperman Structure Theorem and the Partition Theorem for setpartitions.  .