Bulletin of the Iranian Mathematical Society
Author:
Publisher:
Published: 2004
Total Pages: 410
ISBN-13:
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Nearrings, Nearfields And Related Topics
Author: Kuncham Syam Prasad
Publisher: World Scientific
Published: 2016-11-28
Total Pages: 324
ISBN-13: 981320737X
DOWNLOAD EBOOKRecent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G
Illuminationist Texts and Textual Studies
Author: Ali Gheissari
Publisher: BRILL
Published: 2017-11-27
Total Pages: 354
ISBN-13: 9004358390
DOWNLOAD EBOOKThe late Professor Hossein Ziai’s interests focused on the Illuminationist (Ishrāqī) tradition. Dedicated to his memory, this volume deals with the post-Avicennan philosophical tradition in Iran, and in particular the Illuminationist school and later philosophers, such as those associated with the School of Isfahan, who were fundamentally influenced by it. The focus of various chapters is on translations, editions, and close expositions of rationalist works in areas such as epistemology, logic and metaphysics rather than mysticism more generally, and also on specific texts rather than themes or studies of individual philosophers. The purpose of the volume is to introduce new texts into the modern canon of Islamic and Iranian philosophy. Various texts in this volume have not been previously translated nor have they been the subject of significant Western scholarship.
Algorithms for Computer Algebra
Author: Keith O. Geddes
Publisher: Springer Science & Business Media
Published: 2007-06-30
Total Pages: 594
ISBN-13: 0585332479
DOWNLOAD EBOOKAlgorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.
Mathematics And Its Teaching In The Muslim World
Author: Bruce R Vogeli
Publisher: World Scientific
Published: 2020-06-25
Total Pages: 331
ISBN-13: 9813146796
DOWNLOAD EBOOKThis anthology reviews the history, current states, and plans for the development of mathematics education in the Muslim States in Africa, the Middle East, and Asia. There is an introduction by Ahmed Djebbar, the most prominent contemporary scholar of Muslim mathematics. The chapters are written by respective national experts in mathematics education.
Topics in Groups and Geometry
Author: Tullio Ceccherini-Silberstein
Publisher: Springer Nature
Published: 2022-01-01
Total Pages: 468
ISBN-13: 3030881091
DOWNLOAD EBOOKThis book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov’s pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of groups, a detailed look at asymptotic cones, and a discussion of related subjects including filters and ultrafilters, dimension theory, hyperbolic geometry, amenability, the Burnside problem, and random walks on groups. The results are unified under the common theme of Gromov’s theorem, namely that finitely generated groups of polynomial growth are virtually nilpotent. This beautiful result gave birth to a fascinating new area of research which is still active today. The purpose of the book is to collect these naturally related results together in one place, most of which are scattered throughout the literature, some of them appearing here in book form for the first time. In this way, the connections between these topics are revealed, providing a pleasant introduction to geometric group theory based on ideas surrounding Gromov's theorem. The book will be of interest to mature undergraduate and graduate students in mathematics who are familiar with basic group theory and topology, and who wish to learn more about geometric, analytic, and probabilistic aspects of infinite groups.
Software Pioneers
Author: Manfred Broy
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 714
ISBN-13: 3642594123
DOWNLOAD EBOOKA lucid statement of the philosophy of modular programming can be found in a 1970 textbook on the design of system programs by Gouthier and Pont [1, l Cfl0. 23], which we quote below: A well-defined segmentation of the project effort ensures system modularity. Each task fonos a separate, distinct program module. At implementation time each module and its inputs and outputs are well-defined, there is no confusion in the intended interface with other system modules. At checkout time the in tegrity of the module is tested independently; there are few sche duling problems in synchronizing the completion of several tasks before checkout can begin. Finally, the system is maintained in modular fashion; system errors and deficiencies can be traced to specific system modules, thus limiting the scope of detailed error searching. Usually nothing is said about the criteria to be used in dividing the system into modules. This paper will discuss that issue and, by means of examples, suggest some criteria which can be used in decomposing a system into modules. A Brief Status Report The major advancement in the area of modular programming has been the development of coding techniques and assemblers which (1) allow one modu1e to be written with little knowledge of the code in another module, and (2) alJow modules to be reas sembled and replaced without reassembly of the whole system.
Foundations of Commutative Rings and Their Modules
Author: Fanggui Wang
Publisher: Springer
Published: 2017-01-06
Total Pages: 714
ISBN-13: 9811033374
DOWNLOAD EBOOKThis book provides an introduction to the basics and recent developments of commutative algebra. A glance at the contents of the first five chapters shows that the topics covered are ones that usually are included in any commutative algebra text. However, the contents of this book differ significantly from most commutative algebra texts: namely, its treatment of the Dedekind–Mertens formula, the (small) finitistic dimension of a ring, Gorenstein rings, valuation overrings and the valuative dimension, and Nagata rings. Going further, Chapter 6 presents w-modules over commutative rings as they can be most commonly used by torsion theory and multiplicative ideal theory. Chapter 7 deals with multiplicative ideal theory over integral domains. Chapter 8 collects various results of the pullbacks, especially Milnor squares and D+M constructions, which are probably the most important example-generating machines. In Chapter 9, coherent rings with finite weak global dimensions are probed, and the local ring of weak global dimension two is elaborated on by combining homological tricks and methods of star operation theory. Chapter 10 is devoted to the Grothendieck group of a commutative ring. In particular, the Bass–Quillen problem is discussed. Finally, Chapter 11 aims to introduce relative homological algebra, especially where the related concepts of integral domains which appear in classical ideal theory are defined and investigated by using the class of Gorenstein projective modules. Each section of the book is followed by a selection of exercises of varying degrees of difficulty. This book will appeal to a wide readership from graduate students to academic researchers who are interested in studying commutative algebra.
Percolation
Author: Geoffrey Grimmett
Publisher: Springer Science & Business Media
Published: 1999-05-06
Total Pages: 472
ISBN-13: 9783540649021
DOWNLOAD EBOOKPercolation theory is the study of an idealized random medium in two or more dimensions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.
Notices of the American Mathematical Society
Author: American Mathematical Society
Publisher:
Published: 1994
Total Pages: 728
ISBN-13:
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