Hofmann, Karl Heinrich
Overview
Works:  239 works in 771 publications in 8 languages and 11,458 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Illustrator, Other 
Classifications:  QA3, 510 
Publication Timeline
.
Most widely held works about
Karl Heinrich Hofmann
 Poster cartoons, 19831998 : posters by Karl Heinrich Hofmann( Book )
Most widely held works by
Karl Heinrich Hofmann
Compact semitopological semigroups and weakly almost periodic functions by
John F Berglund(
Book
)
28 editions published between 1967 and 2007 in 3 languages and held by 440 WorldCat member libraries worldwide
28 editions published between 1967 and 2007 in 3 languages and held by 440 WorldCat member libraries worldwide
The duality of compact semigroups and C*bigebras by
Karl Heinrich Hofmann(
Book
)
24 editions published between 1970 and 2008 in English and held by 430 WorldCat member libraries worldwide
24 editions published between 1970 and 2008 in English and held by 430 WorldCat member libraries worldwide
The Pontryagin duality of compact Odimensional semilattices and its applications by
Karl Heinrich Hofmann(
Book
)
22 editions published between 1974 and 2008 in English and Undetermined and held by 417 WorldCat member libraries worldwide
22 editions published between 1974 and 2008 in English and Undetermined and held by 417 WorldCat member libraries worldwide
Elements of compact semigroups by
Karl Heinrich Hofmann(
Book
)
16 editions published in 1966 in English and Italian and held by 414 WorldCat member libraries worldwide
16 editions published in 1966 in English and Italian and held by 414 WorldCat member libraries worldwide
The structure of compact groups : a primer for the student, a handbook for the expert by
Karl Heinrich Hofmann(
Book
)
28 editions published between 1998 and 2013 in English and held by 362 WorldCat member libraries worldwide
Review text: "Thus, the book is informative and carefully written; the exposition is fresh and excellent. It can be useful for students as well as for experts and will meet, as well as the first edition, a wide audience."Victor Gichev in: Zentralblatt MATH 17/2008
28 editions published between 1998 and 2013 in English and held by 362 WorldCat member libraries worldwide
Review text: "Thus, the book is informative and carefully written; the exposition is fresh and excellent. It can be useful for students as well as for experts and will meet, as well as the first edition, a wide audience."Victor Gichev in: Zentralblatt MATH 17/2008
Cohomology theories for compact Abelian groups by
Karl Heinrich Hofmann(
Book
)
26 editions published between 1973 and 2012 in 3 languages and held by 359 WorldCat member libraries worldwide
Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian". Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two
26 editions published between 1973 and 2012 in 3 languages and held by 359 WorldCat member libraries worldwide
Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian". Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two
Recent developments in the algebraic, analytical, and topological theory of semigroups : proceedings of a conference, held
at Oberwolfach, Germany, May 2430, 1981 by
Karl Heinrich Hofmann(
Book
)
18 editions published between 1981 and 1983 in 3 languages and held by 346 WorldCat member libraries worldwide
18 editions published between 1981 and 1983 in 3 languages and held by 346 WorldCat member libraries worldwide
Lie groups, convex cones, and semigroups by
Joachim Hilgert(
Book
)
9 editions published in 1989 in English and held by 300 WorldCat member libraries worldwide
9 editions published in 1989 in English and held by 300 WorldCat member libraries worldwide
Crimes and mathdemeanors by
Leith Hathout(
Book
)
5 editions published between 2007 and 2010 in English and Korean and held by 256 WorldCat member libraries worldwide
A collection of short detective stories for young adults who are interested in applying high school level mathematics and physics to solving mysteries. The main character is Ravi, a 14yearold math genius who helps the local police solve cases. Each chapter is a detective story with a mathematical puzzle at its core that Ravi is able to solve. The author invites the reader to solve the case on his or her own and then explains the mathematics used to find the solution to the puzzle. Illustrated by Karl H. Hofmann
5 editions published between 2007 and 2010 in English and Korean and held by 256 WorldCat member libraries worldwide
A collection of short detective stories for young adults who are interested in applying high school level mathematics and physics to solving mysteries. The main character is Ravi, a 14yearold math genius who helps the local police solve cases. Each chapter is a detective story with a mathematical puzzle at its core that Ravi is able to solve. The author invites the reader to solve the case on his or her own and then explains the mathematics used to find the solution to the puzzle. Illustrated by Karl H. Hofmann
Lie groups and subsemigroups with surjective exponential function by
Karl Heinrich Hofmann(
Book
)
15 editions published between 1997 and 1998 in English and held by 246 WorldCat member libraries worldwide
15 editions published between 1997 and 1998 in English and held by 246 WorldCat member libraries worldwide
Continuous lattices and their applications(
Book
)
6 editions published in 1985 in English and held by 242 WorldCat member libraries worldwide
6 editions published in 1985 in English and held by 242 WorldCat member libraries worldwide
Semigroup theory and its applications : proceedings of the 1994 conference commemorating the work of Alfred H. Clifford by
Karl Heinrich Hofmann(
Book
)
14 editions published between 1996 and 2003 in English and held by 235 WorldCat member libraries worldwide
Survey articles in the area of semigroup theory and its applications
14 editions published between 1996 and 2003 in English and held by 235 WorldCat member libraries worldwide
Survey articles in the area of semigroup theory and its applications
A general character theory for partially ordered sets and lattices by
Karl Heinrich Hofmann(
Book
)
14 editions published in 1972 in English and Italian and held by 220 WorldCat member libraries worldwide
14 editions published in 1972 in English and Italian and held by 220 WorldCat member libraries worldwide
Recent advances in the representation theory of rings and C*algebras by continuous sections; a seminar held at Tulane University,
New Orleans, Louisiana, March 28April 5, 1973 by
Karl Heinrich Hofmann(
Book
)
19 editions published in 1974 in English and held by 220 WorldCat member libraries worldwide
19 editions published in 1974 in English and held by 220 WorldCat member libraries worldwide
Representation of rings by sections by
John Dauns(
Book
)
18 editions published between 1968 and 1983 in English and held by 209 WorldCat member libraries worldwide
18 editions published between 1968 and 1983 in English and held by 209 WorldCat member libraries worldwide
The Analytical and topological theory of semigroups : trend and developments(
Book
)
6 editions published in 1990 in English and held by 184 WorldCat member libraries worldwide
The analytical and topological theory of semigroups : trends and developments : [based on a conference held Jan. 30  Feb. 4, 1989, hosted by the Mathematisches Forschungsinstitut Oberwolfach]
6 editions published in 1990 in English and held by 184 WorldCat member libraries worldwide
The analytical and topological theory of semigroups : trends and developments : [based on a conference held Jan. 30  Feb. 4, 1989, hosted by the Mathematisches Forschungsinstitut Oberwolfach]
Proofs from the book by
Martin Aigner(
Book
)
24 editions published between 1998 and 2014 in 4 languages and held by 183 WorldCat member libraries worldwide
The mathematical heroes of this book are 'perfect proofs': brilliant ideas, clever connections & wonderful observations that bring new insight & surprising perspectives on basic & challenging problems from number theory, geometry, analysis, combinatorics & graph theory. 30 examples are presented
24 editions published between 1998 and 2014 in 4 languages and held by 183 WorldCat member libraries worldwide
The mathematical heroes of this book are 'perfect proofs': brilliant ideas, clever connections & wonderful observations that bring new insight & surprising perspectives on basic & challenging problems from number theory, geometry, analysis, combinatorics & graph theory. 30 examples are presented
Semigroups in algebra, geometry, and analysis(
Book
)
14 editions published in 1995 in English and German and held by 181 WorldCat member libraries worldwide
14 editions published in 1995 in English and German and held by 181 WorldCat member libraries worldwide
Das Buch der Beweise by
Martin Aigner(
Book
)
10 editions published between 2002 and 2015 in French and German and held by 106 WorldCat member libraries worldwide
Regroupe quelques démonstrations mathématiques choisies pour leur élégance. Différents domaines sont abordés : théorie des nombres, géométrie, analyse combinatoire et théorie des graphes. Propose aussi bien des résultats établis depuis longtemps que des théorèmes récemment démontrés
10 editions published between 2002 and 2015 in French and German and held by 106 WorldCat member libraries worldwide
Regroupe quelques démonstrations mathématiques choisies pour leur élégance. Différents domaines sont abordés : théorie des nombres, géométrie, analyse combinatoire et théorie des graphes. Propose aussi bien des résultats établis depuis longtemps que des théorèmes récemment démontrés
The structure of compact groups : a primer for students, a handbook for the expert by
Karl Heinrich Hofmann(
Book
)
10 editions published between 2006 and 2013 in English and German and held by 105 WorldCat member libraries worldwide
Deals with the subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics. This book is suitable for upper level graduate courses or seminars. It is useful for research specialists who need to apply the structure and representation theory of compact groups
10 editions published between 2006 and 2013 in English and German and held by 105 WorldCat member libraries worldwide
Deals with the subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics. This book is suitable for upper level graduate courses or seminars. It is useful for research specialists who need to apply the structure and representation theory of compact groups
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Morris, Sidney A. 1947 Other
 Lawson, Jimmie D. Editor
 Mostert, Paul S. (Paul Stallings)
 Mislove, Michael W. Other Author Editor
 Clifford, A. H. (Alfred Hoblitzelle) 1908 Other Honoree Dedicatee
 Ziegler, Günter M.
 Aigner, Martin 1942 Author
 Stralka, Albert
 Mislove, Michael W. Author
 Berglund, John F. Author
Useful Links
Associated Subjects
Abelian groups Algebra Almost periodic functions C*algebras Caricatures and cartoons Categories (Mathematics) Combinatorial analysis Compact Abelian groups Compact groups Computer science Continuous lattices Convex bodies Detective and mystery stories Distribution (Probability theory) Duality theory (Mathematics) Exponential functions Fiber bundles (Mathematics) Geometry GermanyDarmstadt Global analysis (Mathematics) Graph theory Group theory Hofmann, Karl Heinrich Homology theory Lattice theory Lie algebras Lie groups Loops (Group theory) Mathematical recreations Mathematics Mathematics in art MathematicsStudy and teaching Number theory Ordered sets Partially ordered sets Pontrjagin duality Posters PostersPrivate collections Proof theory Reasoning Representations of algebras Representations of rings (Algebra) Rings (Algebra) Semigroups Semilattices Sheaf theory Technische Universität Darmstadt.Fachbereich Mathematik Topological groups Topological semigroups Topological spaces
Alternative Names
Hofmann, K. H.
Hofmann, K. H. 1932
Hofmann, K. H. (Karl Heinrich)
Hofmann, Karl
Hofmann, Karl 1932
Hofmann, Karl H.
Hofmann, Karl H. (Karl Heinrich)
Hofmann, KarlHeinrich
Hofmann, KarlHeinrich 1932
Karl Heinrich Hofmann deutscher Mathematiker
Karl Heinrich Hofmann German mathematician
Languages
Covers