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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.
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For More Than Thirty Years Modern Algebra Has Served The Student Community As A Textbook For Introductory Courses On The Subject. The Book Starts From Set Theory And Covers An Advanced Course In Group Theory And Ring Theory. A Detailed Study Of Field Theo
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The book is intended to be a bridge between introductory and advanced textbooks on linear algebra. It is intended for the advanced level undergraduate and postgraduate students, in mathematics and other disciplines, who need a comprehensive knowledge of linear algebra. The book contains detailed proofs of various results; these proofs may or may not be discussed by a teacher, depending upon the course being offered. It also contains large number of examples and remarks.
This book presents the theoretical concepts of methods of solutions of ordinary and partial differential equations as well as equips the students with the various tools and techniques to model different physical problems using such equations. The book discusses the basic concepts of differential equations, different methods of solving ordinary differential equations and the solution procedure for ordinary differential equations of first order and higher degree. It gives the solution methodology for linear differential equations with constant and variable coefficients and linear differential equations of second order. The book elaborates simultaneous linear differential equations, total diffe...
The book caters to the 1st semester students of BSc (Hons) Mathematics of Indian universities. It has been written strictly in accordance with the CBCS syllabus of the UGC. The book teaches the concepts and techniques of basic algebra with a focus on explaining definitions and theorems, and creating proofs. The theory is supported by numerous examples and plenty of worked-out problems. Its strict logical organization has been designed to help the reader to develop confidence in the subject. By introducing various interesting applications of algebra the book also aims at creating a broad and solid foundation for the study of advanced mathematics. The contents covered in the book are equivalen...
Engineering Mathematics II has been written for first year students of Calicut University. The book has been developed to facilitate physical interpretation of concepts and application of the various notions in engineering and technology. The solved examples given in the book are a significant value-addition. Author's long experience of teaching various grades of students has contributed towards the quality of this book. An emphasis on various techniques of solving complex problems will be of immense help to the students. KEY FEATURES • Brief but thorough discussion of theory • Examination-oriented approach • Techniques for solving difficult questions • Solutions to a large number of technical problems