Hilton, Peter 19232010
Overview
Works:  173 works in 807 publications in 6 languages and 17,476 library holdings 

Genres:  Conference proceedings Bibliography Popular works 
Roles:  Author, Editor, Actor, Honoree, Translator, Dedicatee, Other 
Classifications:  QA611, 510 
Publication Timeline
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Most widely held works about
Peter Hilton
 WW2 heroes Peter Hilton and Nancy Wake ( Recording )
 Mission day awards ceremony ( Visual )
Most widely held works by
Peter Hilton
A mathematical tapestry : demonstrating the beautiful unity of mathematics
by
Peter Hilton(
Book
)
20 editions published in 2010 in English and held by 1,071 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 1,071 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"
A course in homological algebra
by
Peter Hilton(
Book
)
38 editions published between 1970 and 2010 in 3 languages and held by 985 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
38 editions published between 1970 and 2010 in 3 languages and held by 985 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
General cohomology theory and Ktheory
by
Peter Hilton(
)
27 editions published between 1971 and 1973 in English and held by 979 WorldCat member libraries worldwide
27 editions published between 1971 and 1973 in English and held by 979 WorldCat member libraries worldwide
A comprehensive textbook of classical mathematics; a contemporary interpretation
by
H. Brian Griffiths(
Book
)
37 editions published between 1970 and 1979 in English and German and held by 862 WorldCat member libraries worldwide
37 editions published between 1970 and 1979 in English and German and held by 862 WorldCat member libraries worldwide
Studies in modern topology
by
Peter Hilton(
Book
)
11 editions published in 1968 in English and held by 822 WorldCat member libraries worldwide
11 editions published in 1968 in English and held by 822 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(
)
10 editions published in 1983 in English and held by 808 WorldCat member libraries worldwide
Professor Peter Hilton is one of the best known mathematicians of his generation. He has published almost 300 books and papers on various aspects of topology and algebra. The present volume is to celebrate the occasion of his sixtieth birthday. It begins with a bibliography of his work, followed by reviews of his contributions to topology and algebra. These are followed by eleven research papers concerned with various topics of current interest in algebra and topology. The articles are contributed by some of the many mathematicians with whom he has worked at one time or another. This book will
10 editions published in 1983 in English and held by 808 WorldCat member libraries worldwide
Professor Peter Hilton is one of the best known mathematicians of his generation. He has published almost 300 books and papers on various aspects of topology and algebra. The present volume is to celebrate the occasion of his sixtieth birthday. It begins with a bibliography of his work, followed by reviews of his contributions to topology and algebra. These are followed by eleven research papers concerned with various topics of current interest in algebra and topology. The articles are contributed by some of the many mathematicians with whom he has worked at one time or another. This book will
Homology theory, an introduction to algebraic topology
by
Peter Hilton(
Book
)
49 editions published between 1960 and 2008 in English and Undetermined and held by 793 WorldCat member libraries worldwide
49 editions published between 1960 and 2008 in English and Undetermined and held by 793 WorldCat member libraries worldwide
Mathematical reflections : in a room with many mirrors
by
Peter Hilton(
Book
)
20 editions published between 1996 and 2012 in English and Italian and held by 738 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
20 editions published between 1996 and 2012 in English and Italian and held by 738 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
)
28 editions published between 1974 and 1989 in 3 languages and held by 630 WorldCat member libraries worldwide
28 editions published between 1974 and 1989 in 3 languages and held by 630 WorldCat member libraries worldwide
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
)
19 editions published in 1976 in English and held by 612 WorldCat member libraries worldwide
19 editions published in 1976 in English and held by 612 WorldCat member libraries worldwide
An introduction to homotopy theory
by
Peter Hilton(
Book
)
30 editions published between 1953 and 1972 in English and Undetermined and held by 591 WorldCat member libraries worldwide
30 editions published between 1953 and 1972 in English and Undetermined and held by 591 WorldCat member libraries worldwide
Symposium on Algebraic Topology
by
Peter Hilton(
Book
)
22 editions published in 1971 in English and Undetermined and held by 573 WorldCat member libraries worldwide
22 editions published in 1971 in English and Undetermined and held by 573 WorldCat member libraries worldwide
Localization in group theory and homotopy theory, and related topics
by
Peter Hilton(
Book
)
27 editions published in 1974 in English and German and held by 549 WorldCat member libraries worldwide
27 editions published in 1974 in English and German and held by 549 WorldCat member libraries worldwide
Introduction to the theory of categories and functors
by
Ionel Bucur(
Book
)
13 editions published between 1968 and 1972 in English and Russian and held by 521 WorldCat member libraries worldwide
13 editions published between 1968 and 1972 in English and Russian and held by 521 WorldCat member libraries worldwide
Localization of nilpotent groups and spaces
by
Peter Hilton(
Book
)
14 editions published in 1975 in English and Undetermined and held by 488 WorldCat member libraries worldwide
14 editions published in 1975 in English and Undetermined and held by 488 WorldCat member libraries worldwide
Homotopy theory and duality
by
Peter Hilton(
Book
)
21 editions published between 1959 and 1967 in 3 languages and held by 474 WorldCat member libraries worldwide
21 editions published between 1959 and 1967 in 3 languages and held by 474 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
)
16 editions published between 1981 and 1982 in English and Undetermined and held by 464 WorldCat member libraries worldwide
16 editions published between 1981 and 1982 in English and Undetermined and held by 464 WorldCat member libraries worldwide
Symmetry
by
Hans Walser(
Book
)
7 editions published between 2000 and 2001 in English and held by 428 WorldCat member libraries worldwide
7 editions published between 2000 and 2001 in English and held by 428 WorldCat member libraries worldwide
Build your own polyhedra
by
Peter Hilton(
Book
)
9 editions published between 1988 and 2004 in English and held by 426 WorldCat member libraries worldwide
Demonstrates the properties of geometrical structures by showing how to buid threedimensional shapes using easily accessible materials
9 editions published between 1988 and 2004 in English and held by 426 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
)
23 editions published in 1984 in German and English and held by 425 WorldCat member libraries worldwide
23 editions published in 1984 in German and English and held by 425 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Pedersen, Jean Translator
 Holton, Derek Allan 1941
 Stammbach, Urs
 Battelle Seattle Research Center Organizer of meeting Editor
 Instituto de Pesquisas Matemáticas de Universidade de São Paulo
 Griffiths, H. Brian (Hubert Brian) Author
 James, I. M. (Ioan Mackenzie) 1928 Author Editor
 Wylie, S. (Shaun) 19132009
 Donmoyer, Sylvie
 Wu, YelChiang 1939
Useful Links
Associated Subjects
Abelian groups Algebra Algebra, Homological Algebraic topology Award presentations 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
Хилтон, П. Дж..
Хилтон, П. Дж., 19232010
Хилтон, Питер.
Хилтон, Питер, 19232010
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