WorldCat Identities

Reid, Miles (Miles A.)

Works: 48 works in 201 publications in 4 languages and 5,062 library holdings
Genres: Personal narratives‡vBritish  Biography  Textbooks 
Roles: Author, Translator, Editor, Thesis advisor
Classifications: QA564, 516.35
Publication Timeline
Most widely held works about Miles Reid
Most widely held works by Miles Reid
Undergraduate algebraic geometry by Miles Reid( Book )

48 editions published between 1988 and 2009 in English and Russian and held by 828 WorldCat member libraries worldwide

Geometry and topology by Miles Reid( Book )

12 editions published between 2005 and 2012 in English and held by 450 WorldCat member libraries worldwide

"Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal for many branches of mathematics and physics. The book introduces the ideas of geometry, and includes a generous supply of simple explanations and examples. The treatment emphasises coordinate systems and the coordinate changes that generate symmetries. The book is based on many years' teaching experience, and is thoroughly class tested. There are copious illustrations, and each chapter ends with a wide supply of exercises. Further teaching material is available for teachers via the web, including assignable problem sheets with solutions"--Jacket
Undergraduate commutative algebra by Miles Reid( Book )

18 editions published between 1995 and 2004 in English and held by 438 WorldCat member libraries worldwide

Number theory and algebraic geometry : to Peter Swinnerton-Dyer on his 75th birthday by Miles Reid( Book )

16 editions published between 2003 and 2004 in English and held by 252 WorldCat member libraries worldwide

Explicit birational geometry of 3-folds by Alessio Corti( Book )

10 editions published in 2000 in English and held by 246 WorldCat member libraries worldwide

5 Work in progress and open problems5.1; 5.2; 5.3; 5.4; 5.5; 5.6; References; Nonrational covers of CPm x CPn; 1 Introduction; 1.5 Generalizations; 1.6 Outline of the proof of Theorems 1.2-1.3; 1.7 Terminology; 1.8 Acknowledgements; 2 Inseparable cyclic covers; 3 A nonruledness criterion; 4 Conics over none lased fields; 5 Del Pezzo surfaces over a nonclosed field; 5.1 Del Pezzo surfaces; References; Essentials of the method of maximal singularities; 1 Historical introduction; Noether's theorem; Fano and the quartic threefold; The work of Manin and Iskovskikh
Basic algebraic geometry by I. R Shafarevich( Book )

21 editions published between 1994 and 2013 in English and held by 142 WorldCat member libraries worldwide

Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich's book is a must.'' The second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. The style of Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent of Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics
Algebra I : basic notions of algebra by I. R Shafarevich( Book )

7 editions published between 1990 and 2006 in English and held by 64 WorldCat member libraries worldwide

From the reviews: "This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..." Zentralblatt für Mathematik und Ihre Grenzgebiete, 1991 "...which I read like a novel and undoubtedly will become a classic. ... A merit of the book under review is that it contains several important articles from journals which are not all so easily accessible. ... Furthermore, at the end of the book, there are some Notes by the author which are indispensible for the necessary historical background information. ... This valuable book should be on the shelf of every algebraist and algebraic geometer." Nieuw Archief voor Wiskunde, 1992 "... There are few proofs in full, but there is an exhilarating combination of sureness of foot and lightness of touch in the exposition ... which transports the reader effortlessly across the whole spectrum of algebra.... The challenge to Ezekiel, "Can these bones live?" is, all too often, the reaction of students when introduced to the bare bones of the concepts and constructs of modern algebra. Shafarevich's book - which reads as comfortably as an extended essay - breathes life into the skeleton and will be of interest to many classes of readers..." The Mathematical Gazette, 1991 "... According to the preface, the book is addressed to "students of mathematics in the first years of an undergraduate course, or theoretical physicists or mathematicians from outside algebra wanting to get an impression of the spirit of algebra and its place in mathematics." I think that this promise is fully justified. The beginner, the experts and also the interested scientist who had contact with algebraic notions - all will read this exceptional book with great pleasure and benefit." Zeitschrift für Kristallographie, 1991
Solitons : differential equations, symmetries, and infinite dimensional algebras by T Miwa( Book )

6 editions published between 2000 and 2011 in English and held by 36 WorldCat member libraries worldwide

"The goal of this book is to investigate the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. The work of M. Sato on the algebraic structure of completely integrable systems is discussed, together with developments of these ideas in the work of M. Kashiwara." "This book should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to the novice and expert alike."--Jacket
Commutative ring theory by Hideyuki Matsumura( Book )

7 editions published between 1989 and 1997 in English and Undetermined and held by 21 WorldCat member libraries worldwide

In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book
Last on the list by Miles Reid( Book )

5 editions published between 1974 and 1975 in 3 languages and held by 13 WorldCat member libraries worldwide

Geometries and groups by V. V Nikulin( Book )

2 editions published between 1987 and 1994 in English and held by 12 WorldCat member libraries worldwide

This is a quite exceptional book, a lively and approachable treatment of an important field of mathematics given in a masterly style. Assuming only a school background, the authors develop locally Euclidean geometries, going as far as the modular space of structures on the torus, treated in terms of Lobachevsky's non-Euclidean geometry. Each section is carefully motivated by discussion of the physical and general scientific implications of the mathematical argument, and its place in the history of mathematics and philosophy. The book is expected to find a place alongside classics such as Hilbert and Cohn-Vossen's "Geometry and the imagination" and Weyl's "Symmetry."
Age cannot wither by Miles Reid( Book )

2 editions published in 1944 in English and held by 7 WorldCat member libraries worldwide

Review of bovine brucellosis and tuberculosis traceback methods in South Australian abattoirs.( Book )

1 edition published in 1983 in English and held by 5 WorldCat member libraries worldwide

Shotō daisū kika kōgi( Book )

2 editions published in 1991 in Japanese and held by 3 WorldCat member libraries worldwide

Using the Am9511 arithmetic processing unit with the Motorola M6800 microprocessor by Miles Reid( Book )

3 editions published in 1979 in English and held by 3 WorldCat member libraries worldwide

A temperature controller in the 6000 series by C. E Cox( Book )

1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide

Investigation into the emission spectrum of light emitting diodes for possible use as a light source for optical plant measurements by C. A Diamond( Book )

1 edition published in 1984 in English and held by 2 WorldCat member libraries worldwide

Chapters on algebraic surfaces by Miles Reid( Book )

2 editions published in 1996 in English and held by 2 WorldCat member libraries worldwide

Into Colditz by Miles Reid( Book )

1 edition published in 1983 in English and held by 1 WorldCat member library worldwide

Number Theory and Algebraic Geometry( )

1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide

This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry
moreShow More Titles
fewerShow Fewer Titles
Audience Level
Audience Level
  Kids General Special  
Audience level: 0.41 (from 0.03 for Explicit b ... to 0.89 for Using the ...)

Undergraduate algebraic geometry
Alternative Names
Miles Reid britischer Mathematiker

Miles Reid Mathematician researching Algebraic Geometry

Reid, M. A.

Reid, M. A. (Miles A.)

Reid, M. A. (Miles A.), 1948-

Reid, Miles

Reid, Miles A.

Reid, Miles A. 1948-...

Rid, M.

Рид, М

Рид, М. (Майлз)

リード, M

Geometry and topologyUndergraduate commutative algebraNumber theory and algebraic geometry : to Peter Swinnerton-Dyer on his 75th birthdayExplicit birational geometry of 3-foldsBasic algebraic geometryAlgebra I : basic notions of algebraSolitons : differential equations, symmetries, and infinite dimensional algebrasCommutative ring theory