WorldCat Identities

Hilton, Peter 1923-2010

Works: 165 works in 966 publications in 8 languages and 19,170 library holdings
Genres: Conference papers and proceedings  Popular works  Bibliography 
Roles: Author, Editor, Honoree, Translator, Other, Contributor
Classifications: QA611, 510
Publication Timeline
Most widely held works about Peter Hilton
Most widely held works by Peter Hilton
A course in homological algebra by Peter Hilton( Book )

49 editions published between 1970 and 2012 in 3 languages and held by 1,001 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 mathematical tapestry : demonstrating the beautiful unity of mathematics by Peter Hilton( Book )

21 editions published in 2010 in English and held by 961 WorldCat member libraries worldwide

"This easy-to-read 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 paper-folding 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 hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth"--
Studies in modern topology by Peter Hilton( Book )

19 editions published in 1968 in English and Undetermined and held by 831 WorldCat member libraries worldwide

Homology theory, an introduction to algebraic topology by Peter Hilton( Book )

53 editions published between 1960 and 2008 in English and Russian and held by 806 WorldCat member libraries worldwide

A comprehensive textbook of classical mathematics; a contemporary interpretation by H. Brian Griffiths( Book )

38 editions published between 1970 and 1979 in English and German and held by 791 WorldCat member libraries worldwide

Arithmetic of the integers, linear algebra, an introduction to group theory, the theory of polynomial functions and polynomial equations, and some Boolean algebra. It could be supplemented, of course, by material from other chapters. Again, Course 5 (Calculus) aiscusses the differential and integral calculus more or less from the beginnings of these theories, and proceeds through functions of several real variables, functions of a complex variable, and topics of real analysis such as the implicit function theorem. We would, however, like to make a further point with regard to the appropriateness of our text in course work. We emphasized in the Introduction to the original edition that, in the main, we had in mind the reader who had already met the topics once and wished to review them in the light of his (or her) increased knowledge and mathematical maturity. We therefore believe that our book could form a suitable basis for American graduate courses in the mathematical sciences, especially those prerequisites for a Master's degree
Mathematical reflections : in a room with many mirrors by Peter Hilton( Book )

22 editions published between 1996 and 2012 in English and Italian and held by 729 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 in-service 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 )

32 editions published between 1974 and 1989 in 3 languages and held by 642 WorldCat member libraries worldwide

An introduction to homotopy theory by Peter Hilton( Book )

36 editions published between 1953 and 1972 in English and held by 594 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, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cell-complexes and their application to homotopy groups of complexes
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 )

31 editions published between 1976 and 1977 in 3 languages and held by 539 WorldCat member libraries worldwide

Introduction to the theory of categories and functors by Ionel Bucur( Book )

13 editions published between 1968 and 1970 in English and held by 522 WorldCat member libraries worldwide

Homotopy theory and duality by Peter Hilton( Book )

26 editions published between 1959 and 1967 in English and Italian and held by 491 WorldCat member libraries worldwide

Symposium on Algebraic Topology by Peter Hilton( Book )

32 editions published between 1971 and 2008 in English and Undetermined and held by 481 WorldCat member libraries worldwide

General cohomology theory and K-theory by Peter Hilton( Book )

30 editions published between 1971 and 1973 in English and held by 481 WorldCat member libraries worldwide

These notes constitute a faithful record of a short course of lectures given in São Paulo, Brazil, in the summer of 1968
Localization in group theory and homotopy theory, and related topics by Peter Hilton( Book )

34 editions published between 1974 and 2008 in English and German and held by 462 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 )

24 editions published between 1981 and 1982 in English and Undetermined and held by 451 WorldCat member libraries worldwide

It is close enough to the end of the century to make a guess as to what the Encyclopedia Britannica article on the history of mathematics will report in 2582: "We have said that the dominating theme of the Nineteenth Century was the development and application of the theory of functions of one variable. At the beginning of the Twentieth Century, mathematicians turned optimistically to the study off unctions of several variables. But wholly unexpected difficulties were met, new phenomena were discovered, and new fields of mathematics sprung up to study and master them. As a result, except where development of methods from earlier centuries continued, there was a recoil from applications. Most of the best mathematicians of the first two-thirds of the century devoted their efforts entirely to pure mathe matics. In the last third, however, the powerful methods devised by then for higher-dimensional problems were turned onto applications, and the tools of applied mathematics were drastically changed. By the end of the century, the temporary overemphasis on pure mathematics was completely gone and the traditional interconnections between pure mathematics and applications restored. "This century also saw the first primitive beginnings of the electronic calculator, whose development in the next century led to our modern methods of handling mathematics
Symmetry by Hans Walser( Book )

6 editions published between 2000 and 2001 in English and held by 431 WorldCat member libraries worldwide

"This English edition has been prepared, with the author's cooperation, to make it available to English-speaking 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."
Mathematical vistas : from a room with many windows by Peter Hilton( Book )

17 editions published between 2000 and 2011 in English and held by 377 WorldCat member libraries worldwide

The goal of Mathematical Vistas is to stimulate the interest of bright people in mathematics. The book consists of nine related mathematical essays which will intrigue and inform the curious reader. In order to offer a broad spectrum of exciting developments in mathematics, topics are treated at different levels of depth and thoroughness. Some chapters can be understood completely with little background, others can be thought of as appetizers for further study. A number of BREAKS are included in each chapter. These are problems designed to test the reader's understanding of the material thus far in the chapter. This book is a sequel to the authors's popular book "Mathematical Reflections" and can be read independently
Nilpotente Gruppen und nilpotente Räume : nachdiplomvorlesung gehalten am Mathematik-Departement ETH Zürich 1981/82 by Peter Hilton( Book )

27 editions published between 1984 and 2008 in German and English and held by 369 WorldCat member libraries worldwide

Localization of nilpotent groups and spaces by Peter Hilton( Book )

21 editions published between 1975 and 2016 in 3 languages and held by 334 WorldCat member libraries worldwide

Notas de mathematica, 55
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 323 WorldCat member libraries worldwide

The real dimension of a vector bundle at the prime two Edgar H, Brown, Jr. and Franklin P. PetersonMaps between classifying spaces, III J.F. Adams and Z. Mahmud; Idempotent codensity monads and the profinite completion of topological groups A. Deleanu; Finitary automorphisms and integral homology J- Roitberg; Finite group actions on Grassman manifolds Henry H. Glover and Guido Mislin
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Audience level: 0.50 (from 0.09 for Topologica ... to 0.72 for Nilpotente ...)

A mathematical tapestry : demonstrating the beautiful unity of mathematics
Alternative Names
Hilton, P.

Hilton, P. 1923-2010

Hilton, P. Dž.

Hilton, P. J.

Hilton, P.J., 1923-2010

Hilton, P. J. ((Peter J.))

Hilton, P. J. (Peter John), 1923-

Hilton, P. J. (Peter John), 1923-2010

Hilton, P. (Peter), 1923-

Hilton, Peter.

Hilton Peter 1923-....

Hilton, Peter 1923-2010

Hilton, Peter J.

Hilton, Peter J. 1923-2010

Hilton, Peter John

Hilton, Peter John, 1923-

Peter Hilton britischer Mathematiker

Peter Hilton britisk matematikar

Peter Hilton britisk matematiker

Peter Hilton Brits wiskundige (1923-2010)

Peter Hilton brittisk matematiker

Peter Hilton matemático británico

Peter Hilton matematico e crittografo inglese

Peter Hilton mathématicien britannique

Xi'erdun, 1923-2010

Хилтон, П. Дж..

Хилтон, П. Дж., 1923-2010

Хилтон, Питер.

Хилтон, Питер, 1923-2010


希尔顿, 1923-2010

English (484)

German (27)

Spanish (6)

Italian (4)

Russian (2)

French (1)

Polish (1)

Dutch (1)

A mathematical tapestry : demonstrating the beautiful unity of mathematicsHomology theory, an introduction to algebraic topologyMathematical reflections : in a room with many mirrorsA course in modern algebraAn introduction to homotopy theoryStructural stability, the theory of catastrophes, and applications in the sciences : proceedings of the conference held at the Battelle Seattle Research Center, 1975Symposium on Algebraic TopologyGeneral cohomology theory and K-theory