Hilton, Peter 19232010
Overview
Works:  183 works in 902 publications in 7 languages and 17,412 library holdings 

Genres:  Conference proceedings Popular works Bibliography 
Roles:  Author, Editor, Honoree, Translator, Contributor, Other, Dedicatee 
Classifications:  QA611, 510 
Publication Timeline
.
Most widely held works by
Peter Hilton
A course in homological algebra by
Peter Hilton(
Book
)
46 editions published between 1970 and 2010 in 4 languages and held by 973 WorldCat member libraries worldwide
This classic book provides a broad introduction to homological algebra, including a comprehensive set of exercises. Since publication of the first edition homological algebra has found a large number of applications in many different fields. Today, it is a truly indispensable tool in fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In this new edition, the authors have selected a number of different topics and describe some of the main applications and results to illustrate the range and depths of these developments. The background assumes little more than knowledge of the algebraic theories groups and of vector spaces over a field
46 editions published between 1970 and 2010 in 4 languages and held by 973 WorldCat member libraries worldwide
This classic book provides a broad introduction to homological algebra, including a comprehensive set of exercises. Since publication of the first edition homological algebra has found a large number of applications in many different fields. Today, it is a truly indispensable tool in fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In this new edition, the authors have selected a number of different topics and describe some of the main applications and results to illustrate the range and depths of these developments. The background assumes little more than knowledge of the algebraic theories groups and of vector spaces over a field
A comprehensive textbook of classical mathematics; a contemporary interpretation by
H. Brian Griffiths(
Book
)
45 editions published between 1970 and 1979 in English and German and held by 844 WorldCat member libraries worldwide
45 editions published between 1970 and 1979 in English and German and held by 844 WorldCat member libraries worldwide
Studies in modern topology by
Peter Hilton(
Book
)
15 editions published in 1968 in English and held by 824 WorldCat member libraries worldwide
15 editions published in 1968 in English and held by 824 WorldCat member libraries worldwide
Homology theory, an introduction to algebraic topology by
Peter Hilton(
Book
)
59 editions published between 1960 and 2008 in 3 languages and held by 809 WorldCat member libraries worldwide
59 editions published between 1960 and 2008 in 3 languages and held by 809 WorldCat member libraries worldwide
Mathematical reflections : in a room with many mirrors by
Peter Hilton(
Book
)
21 editions published between 1996 and 2012 in English and Italian and held by 718 WorldCat member libraries worldwide
The purpose of this book is to show what mathematics is about, how it is done, and what it is good for. The relaxed and informal presentation conveys the joy of mathematical discovery and insight and makes it clear that mathematics can be an exciting and engrossing activity. Frequent questions lead the reader to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that serve to illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascal's Triangle and paper folding  two topics where geometry, number theory, and algebra meet and interact; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught; these ideas are referred to throughout the text, whenever mathematical strategy and technique are at issue. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics (for mathematics students or for prospective or inservice mathematics teachers) or as enrichment for other courses. It can also be read with pleasure on its own by anyone interested in the intellectually intriguing aspects of mathematics
21 editions published between 1996 and 2012 in English and Italian and held by 718 WorldCat member libraries worldwide
The purpose of this book is to show what mathematics is about, how it is done, and what it is good for. The relaxed and informal presentation conveys the joy of mathematical discovery and insight and makes it clear that mathematics can be an exciting and engrossing activity. Frequent questions lead the reader to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that serve to illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascal's Triangle and paper folding  two topics where geometry, number theory, and algebra meet and interact; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught; these ideas are referred to throughout the text, whenever mathematical strategy and technique are at issue. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics (for mathematics students or for prospective or inservice mathematics teachers) or as enrichment for other courses. It can also be read with pleasure on its own by anyone interested in the intellectually intriguing aspects of mathematics
A course in modern algebra by
Peter Hilton(
Book
)
30 editions published between 1974 and 1989 in 3 languages and held by 623 WorldCat member libraries worldwide
30 editions published between 1974 and 1989 in 3 languages and held by 623 WorldCat member libraries worldwide
An introduction to homotopy theory by
Peter Hilton(
Book
)
44 editions published between 1952 and 1972 in English and Undetermined and held by 607 WorldCat member libraries worldwide
Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six chapters describe the essential ideas of homotopy theory: homotopy groups, the classical theorems, the exact homotopy sequence, fibrespaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cellcomplexes and their application to homotopy groups of complexes
44 editions published between 1952 and 1972 in English and Undetermined and held by 607 WorldCat member libraries worldwide
Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six chapters describe the essential ideas of homotopy theory: homotopy groups, the classical theorems, the exact homotopy sequence, fibrespaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cellcomplexes and their application to homotopy groups of complexes
A mathematical tapestry : demonstrating the beautiful unity of mathematics by
Peter Hilton(
Book
)
20 editions published in 2010 in English and held by 563 WorldCat member libraries worldwide
"This easytoread book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paperfolding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain handson experience constructing these models and to discover for themselves the patterns and relationships they unearth"
20 editions published in 2010 in English and held by 563 WorldCat member libraries worldwide
"This easytoread book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paperfolding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain handson experience constructing these models and to discover for themselves the patterns and relationships they unearth"
Structural stability, the theory of catastrophes, and applications in the sciences : proceedings of the conference held at
the Battelle Seattle Research Center, 1975 by
Peter Hilton(
Book
)
24 editions published between 1976 and 1977 in English and Undetermined and held by 529 WorldCat member libraries worldwide
24 editions published between 1976 and 1977 in English and Undetermined and held by 529 WorldCat member libraries worldwide
Introduction to the theory of categories and functors by
Ionel Bucur(
Book
)
17 editions published between 1968 and 1972 in English and Russian and held by 518 WorldCat member libraries worldwide
17 editions published between 1968 and 1972 in English and Russian and held by 518 WorldCat member libraries worldwide
Homotopy theory and duality by
Peter Hilton(
Book
)
22 editions published between 1959 and 1967 in English and Undetermined and held by 473 WorldCat member libraries worldwide
22 editions published between 1959 and 1967 in English and Undetermined and held by 473 WorldCat member libraries worldwide
General cohomology theory and Ktheory by
Peter Hilton(
Book
)
29 editions published between 1971 and 1973 in English and held by 473 WorldCat member libraries worldwide
29 editions published between 1971 and 1973 in English and held by 473 WorldCat member libraries worldwide
Symposium on Algebraic Topology by
Peter Hilton(
Book
)
26 editions published between 1971 and 2008 in English and Undetermined and held by 459 WorldCat member libraries worldwide
26 editions published between 1971 and 2008 in English and Undetermined and held by 459 WorldCat member libraries worldwide
New directions in applied mathematics : papers presented April 25/26, 1980, on the occasion of the Case centennial celebration by
Peter Hilton(
Book
)
17 editions published between 1981 and 1982 in English and Undetermined and held by 444 WorldCat member libraries worldwide
17 editions published between 1981 and 1982 in English and Undetermined and held by 444 WorldCat member libraries worldwide
Localization in group theory and homotopy theory, and related topics by
Peter Hilton(
Book
)
31 editions published between 1974 and 2008 in English and German and held by 444 WorldCat member libraries worldwide
31 editions published between 1974 and 2008 in English and German and held by 444 WorldCat member libraries worldwide
Symmetry by
Hans Walser(
Book
)
7 editions published between 2000 and 2001 in English and held by 429 WorldCat member libraries worldwide
"This English edition has been prepared, with the author's cooperation, to make it available to Englishspeaking students of mathematics. The treatment is informal and the text is enriched by the presence of very illuminating diagrams. Questions are posed at fairly frequent intervals and the answers to those questions appear at the end of each chapter."
7 editions published between 2000 and 2001 in English and held by 429 WorldCat member libraries worldwide
"This English edition has been prepared, with the author's cooperation, to make it available to Englishspeaking students of mathematics. The treatment is informal and the text is enriched by the presence of very illuminating diagrams. Questions are posed at fairly frequent intervals and the answers to those questions appear at the end of each chapter."
Build your own polyhedra by
Peter Hilton(
Book
)
10 editions published between 1988 and 2004 in English and held by 424 WorldCat member libraries worldwide
Demonstrates the properties of geometrical structures by showing how to buid threedimensional shapes using easily accessible materials
10 editions published between 1988 and 2004 in English and held by 424 WorldCat member libraries worldwide
Demonstrates the properties of geometrical structures by showing how to buid threedimensional shapes using easily accessible materials
Nilpotente Gruppen und nilpotente Räume : nachdiplomvorlesung gehalten am MathematikDepartement ETH Zürich 1981/82 by
Peter Hilton(
Book
)
25 editions published in 1984 in German and English and held by 361 WorldCat member libraries worldwide
25 editions published in 1984 in German and English and held by 361 WorldCat member libraries worldwide
Localization of nilpotent groups and spaces by
Peter Hilton(
Book
)
17 editions published in 1975 in 3 languages and held by 325 WorldCat member libraries worldwide
17 editions published in 1975 in 3 languages and held by 325 WorldCat member libraries worldwide
Topological topics : articles on algebra and topology presented to Professor P.J. Hilton in celebration of his sixtieth birthday by
I. M James(
Book
)
14 editions published in 1983 in English and held by 314 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Publications of P.J. Hilton; Essay on Hilton's work in topology Guido Mislin; The work of Peter Hilton in algebra Urs Stammbach; The dual Whitehead theorems J.P. May; Homotopy cocomplete classes of spaces and the realization of the singular complex D. Puppe; Betti numbers of Hilbert modular varieties E. Thomas and A.T. Vasquez; Homotopy pairs in EckmannHilton duality K.A. Hardie; Profinite Chern classes for group representations Beno Eckmann and Guido Mislin; Automorphisms of surfaces and class numbers: an illustration of the Gindex theorem John Ewing
14 editions published in 1983 in English and held by 314 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Publications of P.J. Hilton; Essay on Hilton's work in topology Guido Mislin; The work of Peter Hilton in algebra Urs Stammbach; The dual Whitehead theorems J.P. May; Homotopy cocomplete classes of spaces and the realization of the singular complex D. Puppe; Betti numbers of Hilbert modular varieties E. Thomas and A.T. Vasquez; Homotopy pairs in EckmannHilton duality K.A. Hardie; Profinite Chern classes for group representations Beno Eckmann and Guido Mislin; Automorphisms of surfaces and class numbers: an illustration of the Gindex theorem John Ewing
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Audience Level
0 

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Related Identities
 Pedersen, Jean Translator
 Holton, Derek Allan 1941
 Stammbach, Urs
 Instituto de Pesquisas Matemáticas de Universidade de São Paulo
 Battelle Seattle Research Center Organizer of meeting Editor
 James, I. M. (Ioan Mackenzie) 1928 Author Editor
 Griffiths, H. Brian (Hubert Brian) Author
 Wylie, S. (Shaun) 19132009
 Donmoyer, Sylvie
 Wu, YelChiang 1939
Useful Links
Associated Subjects
Abelian groups Algebra Algebra, Homological Algebraic topology Catastrophes (Mathematics) Categories (Mathematics) Cryptography CW complexes Differentiable dynamical systems Duality theory (Mathematics) Enigma cipher system France Functor theory Geometrical models Geometry Geometry, Differential GeometryStudy and teaching Great Britain Group theory Hilton, Peter, Homology theory Homotopy theory Ktheory Localization theory Mathematical recreations Mathematics MathematicsStudy and teaching Nilpotent groups Oscillations Paper work Physics PolyhedraModels PolyhedraStudy and teaching (Secondary) Secret service Stability Symmetric functions Symmetry Topological spaces Topology Underground movements, War Wake, Nancy, World War (19391945)
Alternative Names
Hilton, P.
Hilton, P. 19232010
Hilton, P. Dž.
Hilton, P. J.
Hilton, P. J. 19232010
Hilton, P. J. ((Peter J.))
Hilton, P. J. (Peter John), 1923
Hilton, P. J. (Peter John), 19232010
Hilton, P. (Peter), 1923
Hilton, Peter.
Hilton Peter 1923....
Hilton, Peter 19232010
Hilton, Peter J.
Hilton, Peter J. 19232010
Hilton, Peter John
Hilton, Peter John, 1923
Peter Hilton britischer Mathematiker
Peter Hilton British mathematician
Peter Hilton britisk matematikar
Peter Hilton britisk matematiker
Peter Hilton brittisk matematiker
Хилтон, П. Дж..
Хилтон, П. Дж., 19232010
Хилтон, Питер.
Хилтон, Питер, 19232010
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