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Serie: Advanced lectures in mathematics
paperbackEngels9783528065256
1-1-1993
The aim of these notes is to cover the basic algebraic tools and results behind the scenes in the foundations of Real and Complex Analytic Geometry. The author has learned the subject through the works of many mathematicians, to all of whom he is indebted. Meer
paperbackEngels9783528031381
29-5-2001
Ruled varieties are unions of a family of linear spaces. They are objects of algebraic geometry as well as differential geometry, especially if the ruling is developable. Meer
paperbackEngels9783528032197
27-10-2009
The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Meer
paperbackEngels9783528067625
25-2-2002
"A very simple but instructive problem was treated by Jacob Steiner, the famous representative of geometry at the University of Berlin in the early nineteenth century. Meer
paperbackEngels9783528031374
27-4-2000
Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field). As one often reads in prefaces of int- ductory books on algebraic geometry, it is not so easy to develop the basics of algebraic geometry without a proper knowledge of commutative algebra. Meer
paperbackDuits9783528063108
1-1-1990
This text introduces at a moderate speed and in a thorough way the basic concepts of the theory of stochastic integrals and Ito calculus for sem i martingales. Meer
paperbackDuits9783519064206
1-7-1981
Band VII der Buchreihe "Moeller, Leitfaden der Elektrotechnik" hatte bisher die Aufgabe, Band I in fUr Studenten wiinschenswerter Weise durch "Beispiele zu Grundlagen der Elektrotechnik" zu erganzen. Meer
paperbackDuits9783528089993
1-1-1987
The body of mathematics developed in the last forty years or so which can be put under the heading Singularity Theory is quite large. And the excellent introductions to this vast sub ject which are already available (for instance [AGVJ, [BGJ, [GiJ, [GGJ, [LmJ, [Mr], [WsJ or the more advanced [Ln]) cover necessarily only apart of even the most basic topics. Meer
paperbackDuits9783528089054
1-1-1985
paperbackDuits9783528089580
1-1-1986
The last book XIII of Euclid's Elements deals with the regular solids which therefore are sometimes considered as crown of classical geometry. More than two thousand years later around 1850 Schl~fli extended the classification of regular solids to four and more dimensions. Meer
paperbackDuits9783528089610
1-1-1987
These notes are intended to describe the basic concepts of solving inverse problems in a stable way. Since almost all in verse problems are ill-posed in its original formulation the discussion of methods to overcome difficulties which result from this fact is the main subject of this book. Meer
paperbackDuits9783528085940
1-1-1984
This book is a slightly augmented version of a set of lec tures on optimization which I held at the University of Got tingen in the winter semester 1983/84. Meer
paperbackEngels9783528066239
1-1-1994
This book illustrates two basic principles in the calculus of variations which are the question of existence of solutions and closely related the problem of regularity of minimizers. Meer
paperbackDuits9783528069261
13-6-1997
Dieses Buch entstand nach einer einsemestrigen Vorlesung an der Humboldt-Universität Berlin im Studienjahr 1996/ 97 und ist eine Einführung in die Theorie der Spinoren und Dirac-Operatoren über Riemannschen Mannigfaltigkeiten. Meer
paperbackEngels9783528069728
24-2-2004
Among the intuitively appealing aspects of graph theory is its close connection to drawings and geometry. The development of computer technology has become a source of motivation to reconsider these connections, in particular geometric graphs are emerging as a new subfield of graph theory. Meer
paperbackEngels9783528069865
29-11-1999
The aims of this book are threefold:
We start with a naive description of a Markov chain as a memoryless random walk on a finite set. This is complemented by a rigorous definition in the framework of probability theory, and then we develop the most important results from the theory of homogeneous Markov chains on finite state spaces. Meer
paperbackDuits9783528169473
25-2-2003
Diese Einführung in die Welt der Wavelets ist gedacht für Studierende der Mathematik in oberen Semestern, aber auch für mathematisch interessierte Ingenieure. Meer
paperbackDuits9783528089733
1-1-1986
This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. Meer