WorldCat Identities

Agricola, Ilka 1973-

Overview
Works: 34 works in 88 publications in 2 languages and 1,552 library holdings
Genres: History  Textbooks 
Roles: Author, Other, Contributor
Publication Timeline
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Most widely held works by Ilka Agricola
Elementargeometrie : Fachwissen für Studium und Mathematikunterricht by Ilka Agricola( )

16 editions published between 2005 and 2015 in German and held by 540 WorldCat member libraries worldwide

Das vorliegende Lehrbuch führt Sie in alle unterrichtsrelevanten Themen der Elementargeometrie ein. Es eignet sich als Begleitbuch zur gleichnamigen Vorlesung für Studierende des Lehramts Mathematik. Viele Übungsaufgaben unterstützen Sie bei der Prüfungsvorbereitung. Die beiden letzten Kapitel bieten Ihnen zusätzlich Themen für Seminare und Studienarbeiten. Zum Teil zweifarbige Illustrationen komplettieren das Buch. Die Autoren bieten Ihnen einen besonderen Service an: Jeder Studierende, der beim Lösen der Übungsaufgaben auf Schwierigkeiten stößt, kann sich per E-Mail direkt an die Autoren wenden. Außerdem besitzt das Buch eine eigene Internetseite: www-irm.mathematik.hu-berlin.de/~agricola/elemgeo.html
Global analysis : differential forms in analysis, geometry, and physics by Ilka Agricola( Book )

17 editions published between 2001 and 2003 in English and German and held by 406 WorldCat member libraries worldwide

"This book introduces the reader to the world of differential forms and their uses in geometry, analysis, and mathematical physics. It begins with a few basic topics, partly as review, then moves on to vector analysis on manifolds and the study of curves and surfaces in 3-space. Lie groups and homogeneous spaces are discussed, providing the appropriate framework for introducing symmetry in both mathematical and physical contexts. The final third of the book applies the mathematical ideas to important areas of physics: Hamiltonian mechanics, statistical mechanics, and electrodynamics." "There are many classroom-tested exercises and examples with excellent figures throughout. The book is ideal as a text for a first course in differential geometry, suitable for advanced undergraduates or graduate students in mathematics or physics."--BOOK JACKET
Elementary geometry by Ilka Agricola( Book )

14 editions published between 2007 and 2008 in English and held by 345 WorldCat member libraries worldwide

"This book provides a deeper understanding of familiar topics, as well as an introduction to new topics that complete the picture of two-dimensional geometries. For undergraduate mathematics students the book will be an excellent introduction to an advanced point of view on geometry. For mathematics teachers it will be a valuable reference and a source book for topics for projects. The book contains over 100 figures and scores of exercises. It is suitable for a one-semester course in geometry for undergraduates, particularly for mathematics majors and future secondary school teachers."--Jacket
Vektoranalysis : Differentialformen in Analysis, Geometrie und Physik by Ilka Agricola( )

5 editions published in 2010 in German and held by 181 WorldCat member libraries worldwide

Dieses Lehrbuch eignet sich als Fortsetzungskurs in Analysis nach den Grundvorlesungen im ersten Studienjahr. Die Vektoranalysis ist ein klassisches Teilgebiet der Mathematik mit vielfältigen Anwendungen, zum Beispiel in der Physik. Das Buch führt die Studierenden in die Welt der Differentialformen und Analysis auf Untermannigfaltigkeiten des Rn ein. Teile des Buches können auch sehr gut für Vorlesungen in Differentialgeometrie oder Mathematischer Physik verwendet werden. Der Text enthält viele ausführliche Beispiele mit vollständigem Lösungsweg, die zur Übung hilfreich sind. Zahlreiche Abbildungen veranschaulichen den Text. Am Ende jedes Kapitels befinden sich weitere Übungsaufgaben. Die Autoren bieten einen ganz besonderen Service an: Jeder Studierende, der beim Lösen der Übungsaufgaben auf Schwierigkeiten stößt, kann sich für Hilfestellung per E-Mail direkt an die Autoren wenden. In der ersten Auflage erschien das Buch unter dem Titel "Globale Analysis". Der Text wurde an vielen Stellen überarbeitet. Fast alle Bilder wurden neu erstellt. Inhaltliche Ergänzungen wurden u. a. in der Differentialgeometrie (Kapitel 5) sowie der Elektrodynamik (Kapitel 9) vorgenommen. Elemente der multilinearen Algebra - Differentialformen im Rn - Vektoranalysis auf Mannigfaltigkeiten - Pfaffsche Systeme - Kurven und Flächen im dreidimensionalen Raum - Lie-Gruppen und homogene Räume - Symplektische Geometrie und Mechanik - Elemente der statistischen Mechanik und Thermodynamik - Elemente der Elektrodynamik Studierende der Mathematik und Physik an Universitäten ab dem 2. Studienjahr Mathematiker an Universitäten Ilka Agricola ist Professorin für Mathematik an der Philipps-Universität Marburg. Thomas Friedrich ist Professor für Mathematik an der Humboldt-Universität zu Berlin
Dirac-Operatoren und Killing-Spinoren mit Torsion by Julia Becker-Bender( )

1 edition published in 2013 in German and held by 15 WorldCat member libraries worldwide

Die Frobenius-Zerlegung auf algebraischen G-Mannigfaltigkeiten by Ilka Agricola( )

2 editions published in 2000 in German and held by 13 WorldCat member libraries worldwide

A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus by Ilka Agricola( Book )

2 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide

The Gaussian measure on algebraic geometry by Ilka Agricola( Book )

2 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide

Covering groups of the gauge group for the standard elementary particle model by Ilka Agricola( Book )

2 editions published in 1998 in English and held by 5 WorldCat member libraries worldwide

Upper bounds for the first eigenvalue of the Dirac operator on surfaces by Ilka Agricola( Book )

2 editions published in 1998 in English and held by 4 WorldCat member libraries worldwide

Invariante Differentialoperatoren und die Frobenius-Zerlegung einer G-Varietät by Ilka Agricola( Book )

1 edition published in 1999 in English and held by 4 WorldCat member libraries worldwide

Dirac operators, holonomy and string theory by Ilka Agricola( )

2 editions published in 2004 in English and held by 3 WorldCat member libraries worldwide

Geometric structures and special spinor fields by Jos Höll( )

1 edition published in 2014 in English and held by 2 WorldCat member libraries worldwide

Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory by Ilka Agricola( Book )

1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide

Panopticum Stellarum : mathematische Sternkörper by Ilka Agricola( )

1 edition published in 2014 in German and held by 2 WorldCat member libraries worldwide

Horst F. Niemeyer und das Proportionalverfahren by Ilka Agricola( )

1 edition published in 2017 in German and held by 1 WorldCat member library worldwide

Killing spinors in supergravity with 4-fluxes( )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory by Ilka Agricola( )

1 edition published in 2002 in English and held by 1 WorldCat member library worldwide

Schätze der Wissenschaft Die Sammlungen, Museen und Archive der Philipps-Universität Marburg by Philipps-Universität Marburg( Book )

1 edition published in 2014 in German and held by 1 WorldCat member library worldwide

The Casimir operator of a metric connection with skew-symmetric torsion( )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

 
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Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.72 (from 0.48 for Elementary ... to 0.96 for Dirac oper ...)

Elementary geometry
Covers
Elementary geometry
Alternative Names
Agricola, I. 1973-

Ilka Agricola deutsche Mathematikerin

Ilka Agricola Duits wiskundige

Ilka Agricola German mathematician

Ilka Agricola matemática alemana

Ilka Agricola matemàtica alemanya

Ilka Agricola mathématicienne allemande

Ilka Agricola tysk matematikar

Ilka Agricola tysk matematiker

إلكا أغريكولا رياضياتية ألمانية

Languages
English (43)

German (31)