Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 410
Book Description
Bulletin of the Iranian Mathematical Society
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 410
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 410
Book Description
Nearrings, Nearfields And Related Topics
Author: Kuncham Syam Prasad
Publisher: World Scientific
ISBN: 981320737X
Category : Mathematics
Languages : en
Pages : 324
Book Description
Recent 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
Publisher: World Scientific
ISBN: 981320737X
Category : Mathematics
Languages : en
Pages : 324
Book Description
Recent 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
ISBN: 9004358390
Category : Social Science
Languages : en
Pages : 354
Book Description
The 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.
Publisher: BRILL
ISBN: 9004358390
Category : Social Science
Languages : en
Pages : 354
Book Description
The 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.
Bulletin of the Korean Mathematical Society
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 534
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 534
Book Description
Foundations of Commutative Rings and Their Modules
Author: Fanggui Wang
Publisher: Springer
ISBN: 9811033374
Category : Mathematics
Languages : en
Pages : 714
Book Description
This 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.
Publisher: Springer
ISBN: 9811033374
Category : Mathematics
Languages : en
Pages : 714
Book Description
This 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.
Mathematics And Its Teaching In The Muslim World
Author: Bruce R Vogeli
Publisher: World Scientific
ISBN: 9813146796
Category : Mathematics
Languages : en
Pages : 331
Book Description
This 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.
Publisher: World Scientific
ISBN: 9813146796
Category : Mathematics
Languages : en
Pages : 331
Book Description
This 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.
Notices of the American Mathematical Society
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1410
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1410
Book Description
Algorithms for Computer Algebra
Author: Keith O. Geddes
Publisher: Springer Science & Business Media
ISBN: 0585332479
Category : Computers
Languages : en
Pages : 594
Book Description
Algorithms 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.
Publisher: Springer Science & Business Media
ISBN: 0585332479
Category : Computers
Languages : en
Pages : 594
Book Description
Algorithms 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.
Topics in Contemporary Mathematical Analysis and Applications
Author: Hemen Dutta
Publisher: CRC Press
ISBN: 1000204219
Category : Mathematics
Languages : en
Pages : 339
Book Description
Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related problems and issues, methods of solutions, and their possible applications or relevancies in other scientific areas. Aims at enriching the understanding of methods, problems, and applications Offers an understanding of research problems by presenting the necessary developments in reasonable details Discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems This book is written for individual researchers, educators, students, and department libraries.
Publisher: CRC Press
ISBN: 1000204219
Category : Mathematics
Languages : en
Pages : 339
Book Description
Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related problems and issues, methods of solutions, and their possible applications or relevancies in other scientific areas. Aims at enriching the understanding of methods, problems, and applications Offers an understanding of research problems by presenting the necessary developments in reasonable details Discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems This book is written for individual researchers, educators, students, and department libraries.
Dynamic Equations on Time Scales and Applications
Author: Ravi P Agarwal
Publisher: CRC Press
ISBN: 1040103731
Category : Mathematics
Languages : en
Pages : 435
Book Description
This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. Presents cutting-edge research trends of dynamic equations and recent advances in contemporary research on the topic of time scales Connects several new areas of dynamic equations on time scales with applications in different fields Includes mathematical explanation from the perspective of existing knowledge of dynamic equations on time scales Offers several new recently developed results, which are useful for the mathematical modeling of various phenomena Useful for several interdisciplinary fields like economics, biology, and population dynamics from the perspective of new trends The text is for postgraduate students, professionals, and academic researchers working in the fields of Applied Mathematics
Publisher: CRC Press
ISBN: 1040103731
Category : Mathematics
Languages : en
Pages : 435
Book Description
This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. Presents cutting-edge research trends of dynamic equations and recent advances in contemporary research on the topic of time scales Connects several new areas of dynamic equations on time scales with applications in different fields Includes mathematical explanation from the perspective of existing knowledge of dynamic equations on time scales Offers several new recently developed results, which are useful for the mathematical modeling of various phenomena Useful for several interdisciplinary fields like economics, biology, and population dynamics from the perspective of new trends The text is for postgraduate students, professionals, and academic researchers working in the fields of Applied Mathematics