Arithmetik, Algebra (584 Artikel)

Das Buch widmet sich drei grundsätzlichen Fragen: 1) Was ist ,,Systemisches Denken" überhaupt? 2) Wie kann ,,Systemisches Denken" entwickelt bzw. gefördert werden? 3) Welche Rolle kann dabei system...

Volume I/Band I - Set Theory, Miscellanea/Mengenlehre, Varia

Volume I/Band I - Set Theory, Miscellanea/Mengenlehre, Varia

Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and is best-known for the first formulation of the axiom of choice.  However, his papers also include pioneering work in...

This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields, and with Eisenstein series. The author brings to the public the large number of id...

The idea about this book has evolved during the process of its preparation as some of the results have been achieved in parallel with its writing. One reason for this is that in this area of resear...

This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various c...

This primer on mathematics formalisation provides a rapid, hands-on introduction to proof verification in Lean. After a quick introduction to Lean, the basic techniques of human-readable formalisat...

This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, resea...

This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, resea...

Der vorliegende Band II enthält Hausdorffs wohl wichtigstes Werk, die "Grundzüge der Mengenlehre" Dieses Buch gehört zu den Klassikern der mathematischen Literatur und hat auf die Entwicklung der M...

Der vorliegende Band II enthält Hausdorffs wohl wichtigstes Werk, die "Grundzüge der Mengenlehre" Dieses Buch gehört zu den Klassikern der mathematischen Literatur und hat auf die Entwicklung der M...

Field Arithmetic

The book is written for advanced graduate students. The topics have been selected to present methods and models that have applications in both particle physics and polymer physics. The lectures may...

These algebras determine, by the Sliedderburn Theorem. the semi-simple finite dimensional algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, th...