1.

Record Nr.

UNISA996418314103316

Titolo

Electronic government and the information systems perspective : 9th International Conference, EGOVIS 2020, Bratislava, Slovakia, September 14-17, 2020, proceedings / / Andrea Kő [and four others] (editors)

Pubbl/distr/stampa

Cham, Switzerland : , : Springer, , [2020]

©2020

ISBN

3-030-58957-9

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (X, 235 p. 56 illus., 38 illus. in color.)

Collana

Lecture notes in computer science ; ; 12394

Disciplina

352.3802854678

Soggetti

Electronic government information

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Sommario/riassunto

This book constitutes the refereed proceedings of the 9th International Conference on Electronic Government and the Information Systems Perspective, EGOVIS 2020, held in Bratislava, Slovakia, in September 2020. The 15 full and one short papers presented were carefully reviewed and selected from 24 submissions. The papers are organized in the following topical sections: Knowledge representation and modeling in e-Government; e-Government theoretical background; E-Government cases - data and knowledge management; identity management and legal issues; artificial intelligence and machine learning in e-Government context.



2.

Record Nr.

UNISA996508571503316

Autore

Nerode Anil <1932->

Titolo

Algebraic Curves and Riemann Surfaces for Undergraduates [[electronic resource] ] : The Theory of the Donut / / by Anil Nerode, Noam Greenberg

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022

ISBN

3-031-11616-X

Edizione

[1st ed. 2022.]

Descrizione fisica

1 online resource (456 pages)

Disciplina

515.93

Soggetti

Algebraic geometry

Functions of complex variables

Global analysis (Mathematics)

Manifolds (Mathematics)

Algebraic Geometry

Functions of a Complex Variable

Global Analysis and Analysis on Manifolds

Corbes algebraiques

Geometria algebraica

Superfícies de Riemann

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

1 Introduction -- Part I Algebraic curves -- 2 Algebra -- 3 Affine space -- 4 Projective space -- 5 Tangents -- 6 Bézout’s theorem -- 7 The elliptic group -- Part II Riemann Surfaces -- 8 Quasi-Euclidean spaces -- 9 Connectedness, smooth and simple -- 10 Path integrals -- 11 Complex differentiation -- 12 Riemann surfaces -- Part III Curves and surfaces -- 13 Curves are surfaces -- 14 Elliptic functions and the isomorphism theorem -- 15 Puiseux theory -- 16 A brief history of elliptic functions.

Sommario/riassunto

The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and



geometry all interact in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience. At the heart of the subject is the theory of elliptic functions and elliptic curves. A complex torus (or “donut”) is both an abelian group and a Riemann surface. It is obtained by identifying points on the complex plane. At the same time, it can be viewed as a complex algebraic curve, with addition of points given by a geometric “chord-and-tangent” method. This book carefully develops all of the tools necessary to make sense of this isomorphism. The exposition is kept as elementary as possible and frequently draws on familiar notions in calculus and algebra to motivate new concepts. Based on a capstone course given to senior undergraduates, this book is intended as a textbook for courses at this level and includes a large number of class-tested exercises. The prerequisites for using the book are familiarity with abstract algebra, calculus and analysis, as covered in standard undergraduate courses.