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The book starts with a brief introduction to results from Set theory and Number theory. It then goes on to cover Groups, Rings, Fields and Linear Algebra. The topics under groups include Subgroups, Finitely generated abelian groups, Group actions, Solvable and Nilpotent groups. The course in ring theory covers Ideals, Embedding of rings, Euclidean domains, PIDs, UFDs, Polynomial rings and Noetherian (Artinian) rings. Topics in field include Algebraic extensions, Splitting fields, Normal extensions, Separable extensions, Algebraically closed fields, Galois extensions, and Construction by ruler and compass. The portion on linear algebra deals with Vector spaces, Linear transformations, Eigen spaces, Diagonalizable operators, Inner product spaces, Dual spaces, Operators on inner product spaces etc. The theory has been strongly supported by numerous examples and workedout problems. There is also a plenty of scope for the readers to try and solve problems on their own. The book is designed for undergraduate and postgraduate students of mathematics. It can also be used by those preparing for various competitive examinations.
Designed for undergraduate and postgraduate students of mathematics the book can also be used by those preparing for various competitive examinations. The text starts with a brief introduction to results from set theory and number theory. It then goes on to cover groups, rings, vector spaces (Linear Algebra) and fields. The topics under Groups include subgroups, permutation groups, finite abelian groups, Sylow theorems, direct products, group actions, solvable and nilpotent groups. The course in Ring theory covers ideals, embedding of rings, euclidean domains, PIDs, UFDs, polynomial rings, irreducibility criteria, Noetherian rings. The section on vector spaces deals with linear transformatio...
Designed for undergraduate and postgraduate students of mathematics, the book can also be used by those preparing for various competitive examinations. The text starts with a brief introduction to results from Set theory and Number theory. It then goes on to cover Groups, Rings, Fields and Linear Algebra. The topics under groups include subgroups, finitely generated abelian groups, group actions, solvable and nilpotent groups. The course in ring theory covers ideals, embedding of rings, Euclidean domains, PIDs, UFDs, polynomial rings, Noetherian (Artinian) rings. Topics of field include algebraic extensions, splitting fields, normal extensions, separable extensions, algebraically closed fiel...
The Book Has Been Designed For The Students Of Commerce And Economics. It Covers A Vast Selection Of Topics Including Sets, Logic, Number System, Algebra (Both Classical And Modern), Geometry, Trigonometry, Matrices, Determinants, Linear Programming, Vectors, Calculus (Both Differential And Integral) Along With Applications To Commerce And Economics. It Is A Self Contained Book That Requires Only School Level Knowledge Of Mathematics.
This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.
Contains 23 papers presented at the May 1992 symposium in Pittsburgh, PA. Covers issues in biomaterials science such as polyurethanes, metal components, novel plastics, coatings, bioresorbable materials, and testing methods. Discusses future directions in the field, such as the design and fabricatio
An international team of over 150 experts provide up-to-date satellite imaging and quantitative analysis of the state and dynamics of the glaciers around the world, and they provide an in-depth review of analysis methodologies. Includes an e-published supplement. Global Land Ice Measurements from Space - Satellite Multispectral Imaging of Glaciers (GLIMS book for short) is the leading state-of-the-art technical and interpretive presentation of satellite image data and analysis of the changing state of the world's glaciers. The book is the most definitive, comprehensive product of a global glacier remote sensing consortium, Global Land Ice Measurements from Space (GLIMS, http://www.glims.org)...
The book starts from set theory and covers an advanced course in group theory and ring theory. A detailed study of field theory and its application to geometry is undertaken after a brief and concise account of vector spaces and linear transformations. One of the chapters discusses rings with chain conditions and Hilbert’s basis theorem. The book is replete with solved examples to provide ample opportunity to students to comprehend the subject.