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Categories (Mathematics)

  • Graph and Model Transformationby Hartmut Ehrig; Claudia Ermel; Ulrike Golas; Frank Hermann

    Springer Berlin Heidelberg 2015; US$ 103.99

    This book is a comprehensive explanation of graph and model transformation. It contains a detailed introduction, including basic results and applications of the algebraic theory of graph transformations, and references to the historical context. Then in the main part the book contains detailed chapters on M-adhesive categories, M-adhesive transformation... more...

  • Abelian Groupsby László Fuchs

    Springer International Publishing 2015; US$ 146.81

    Written by one of the subject’s foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs.... more...

  • Lectures on Functor Homologyby Vincent Franjou; Antoine Touzé

    Springer International Publishing 2015; US$ 73.40

    This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role. For each of these applications, the functor viewpoint provides both essential insights and new methods for tackling difficult mathematical problems. In... more...

  • Period Mappings with Applications to Symplectic Complex Spacesby Tim Kirschner

    Springer International Publishing 2015; US$ 48.93

    Extending Griffiths’ classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of “Hodge-de Rham type” for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative... more...

  • Einführung in die Kategorientheorieby Martin Brandenburg

    Springer Berlin Heidelberg 2015; US$ 20.56

    Die Kategorientheorie deckt die innere Architektur der Mathematik auf. Dabei werden die strukturellen Gemeinsamkeiten zwischen mathematischen Disziplinen und ihren spezifischen Konstruktionen herausgearbeitet. Dieses Buch gibt eine systematische Einführung in die Grundbegriffe der Kategorientheorie. Zahlreiche ausführliche Erklärungstexte sowie die... more...

  • An Invitation to General Algebra and Universal Constructionsby George M. Bergman

    Springer International Publishing 2015; US$ 73.40

    Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation... more...

  • Index Analysisby R. Lowen

    Springer London 2015; US$ 103.99

    The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces... more...

  • Strukturierungen von Termen und Gleichungenby Christian Rüede

    Springer Fachmedien Wiesbaden 2014; US$ 48.32

    Christian Rüede geht davon aus, dass Schwierigkeiten der Schülerinnen und Schüler beim algebraischen Umformen auf Probleme beim Strukturieren von Termen und Gleichungen zurückzuführen sind. Er verschiebt den Fokus von der Struktur auf die Strukturierung eines Terms und einer Gleichung und stellt so die individuellen Lern- und Denkwege in den Vordergrund.... more...

  • Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spacesby Marek Golasinski; Juno Mukai

    Springer International Publishing 2014; US$ 73.40

    This is a monograph that details the use of Siegel’s method and the classical results of homotopy groups of spheres and Lie groups to determine some Gottlieb groups of projective spaces or to give the lower bounds of their orders. Making use of the properties of Whitehead products, the authors also determine some Whitehead center groups of projective... more...

  • Fundamentals of Algebraic Topologyby Steven H. Weintraub

    Springer New York 2014; US$ 52.60

    This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical... more...