By A. N. Parshin (auth.), A. N. Parshin, I. R. Shafarevich (eds.)

From the stories of the 1st printing of this booklet, released as quantity fifty eight of the Encyclopaedia of Mathematical Sciences:
"... This booklet might be very worthy as a reference and consultant to researchers and graduate scholars in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn, 1994 "... The booklet lower than evaluation comprises monographs on geometric features of workforce conception: Combinatorial staff idea and primary teams" by means of D.J.Collins and H.Zieschang ...: "Some difficulties of staff conception with regards to geometry" through R.I.Grigorchuk and P.F.Kurchanov. ... jointly, those articles shape a wide-ranging survey of combinatorial staff concept, with emphasis a great deal at the geometric roots of the topic. this may be an invaluable reference paintings for the specialist, in addition to delivering an outline of the topic for the outsider or amateur. many various subject matters are defined and explored, with the most effects awarded yet now not proved. this permits the reader to get the flavor of those issues with no turning into slowed down intimately. either articles provide accomplished bibliographies, in order that it really is attainable to exploit this ebook because the place to begin for a extra specific research of a specific subject of curiosity. ... In precis, a truly attention-grabbing e-book! Bulletin of the London Mathematical Society, 1996 "... In either essays the authors supply transparent and entire definitions, examples and statements (but no longer proofs) of theorems, in order that the ebook might be understood by means of a reader with a minimum heritage in staff idea or geometry. this sort of reader, wanting to determine what's recognized during this region, will locate this an entire and available shop of information." modern Physics, 1994 "...This survey (Part II) offers for the 1st time that difficulties in monograph shape and incidentally bargains a unifying therapy of a number of the ways to their strategies, so far as they're identified, including tricks to open difficulties. A titbit for each reader!" Monatshefte für Mathematik, 1995

By H. Ehrig, M. Gajewsky, U. Wolter (auth.), Francesco Parisi Presicce (eds.)

This publication constitutes the strictly refereed post-workshop court cases of the twelfth foreign Workshop on Algebraic improvement ideas, WADT '98, held in Tarquinia, Italy, in June 1997.This booklet offers, along with 3 invited surveys, 21 conscientiously revised complete papers chosen from forty displays given on the workshop. The algebraic method of the specification and improvement of structures, born as a proper technique for summary info varieties, encompases at the present time the formal layout of built-in and software program structures, new specification frameworks and a variety of functions. This ebook offers the state of the art within the region of algebraic software program development.

By Rajeev Alur (auth.), José Meseguer, Grigore Roşu (eds.)

This ebook constitutes the refereed court cases of the twelfth overseas convention on Algebraic technique and software program expertise, AMAST 2008, held in Urbana, IL, united states, in July 2008.

The 28 revised complete papers offered including three invited talks have been rigorously reviewed and chosen from fifty eight submissions. one of the subject matters lined are all present matters in formal equipment with regards to algebraic and logical foundations, software program expertise, and to programming technique together with concurrent and reactive platforms, evolutionary software/adaptive platforms, common sense and sensible programming, item paradigms, constraint programming and concurrency, software verification and transformation, programming calculi, specification languages and instruments, formal specification and improvement case stories, good judgment, class idea, relation algebra, computational algebra, algebraic foundations for languages and platforms, coinduction, theorem proving and logical frameworks for reasoning, logics of courses, in addition to algebra and coalgebra.

By Raymond Barnett, Michael Ziegler, Karl Byleen

The Barnett, Ziegler, Byleen "College Algebra" sequence is designed to be consumer pleasant and to maximise pupil comprehension. The objective of this sequence is to stress computational abilities, principles, and challenge fixing instead of mathematical idea. the massive variety of pedagogical units hired during this textual content will consultant a pupil during the direction. built-in through the textual content, the scholars and teachers will locate Explore-Discuss packing containers which motivate scholars to imagine severely approximately mathematically thoughts. In every one part, the labored examples are by way of matched difficulties that toughen the idea that being taught. additionally, the textual content comprises an abundance of workouts and purposes that might persuade scholars that math comes in handy.

By Schroeder E.

This e-book is an off-the-cuff and readable advent to raised algebra on the post-calculus point. The techniques of ring and box are brought via research of the accepted examples of the integers and polynomials. a robust emphasis on congruence sessions leads in a traditional technique to finite teams and finite fields. the hot examples and thought are in-built a well-motivated model and made proper by means of many functions - to cryptography, blunders correction, integration, and particularly to basic and computational quantity thought. The later chapters contain expositions of Rabin's probabilistic primality try out, quadratic reciprocity, the category of finite fields, and factoring polynomials over the integers. Over one thousand workouts, starting from regimen examples to extensions of conception, are came upon through the e-book; tricks and solutions for plenty of of them are integrated in an appendix.

The new version comprises issues comparable to Luhn's formulation, Karatsuba multiplication, quotient teams and homomorphisms, Blum-Blum-Shub pseudorandom numbers, root bounds for polynomials, Montgomery multiplication, and extra.

By R.A. Kalnin

By Grothendieck A.

By I. S. Novikov

This e-book considers the idea of 'integrable' non-linear partial differential equations. the speculation was once built firstly by means of mathematical physicists yet later mathematicians, quite from the Soviet Union, have been interested in the sphere. during this quantity are reprinted a few basic contributions, initially released in Russian Mathematical Surveys, from a number of the prime Soviet staff. Dr George Wilson has written an creation meant to delicate the reader's direction via a few of the articles.