A Textbook Of Algebra
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A Textbook Of Algebra
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Author : Shah, S.K. & Garg, S.C.
language : en
Publisher: Vikas Publishing House
Release Date :
A Textbook Of Algebra written by Shah, S.K. & Garg, S.C. and has been published by Vikas Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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 equivalence relations, functions, cardinality, congruence-modulo, mathematical induction and De Moivre's theorem. Further, some basic topics of linear algebra like vectors and matrices, linear equations, Gauss elimination, subspace and its dimension, rank-nullity theorem, linear trans-formations and their relations to matrices, and eigenvalues and eigenvectors are also covered. Since practice makes the man perfect, there are a good number of problems that stretch the thinking power of the learner. The problems are graded from easy to those involving higher order thinking. By its virtue the book inculcates that mathe-matical maturity which students need in their current and future courses to grow up into mathematicians of substance.
A Textbook Of Algebra
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Author : Ravinder Kumar
language : en
Publisher:
Release Date : 1989-01-01
A Textbook Of Algebra written by Ravinder Kumar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with categories.
A Book Of Abstract Algebra
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Author : Charles C Pinter
language : en
Publisher: Courier Corporation
Release Date : 2010-01-14
A Book Of Abstract Algebra written by Charles C Pinter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-14 with Mathematics categories.
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
A Textbook Of Algebraic Number Theory
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Author : Sudesh Kaur Khanduja
language : en
Publisher: Springer Nature
Release Date : 2022-04-26
A Textbook Of Algebraic Number Theory written by Sudesh Kaur Khanduja and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-26 with Mathematics categories.
This self-contained and comprehensive textbook of algebraic number theory is useful for advanced undergraduate and graduate students of mathematics. The book discusses proofs of almost all basic significant theorems of algebraic number theory including Dedekind’s theorem on splitting of primes, Dirichlet’s unit theorem, Minkowski’s convex body theorem, Dedekind’s discriminant theorem, Hermite’s theorem on discriminant, Dirichlet’s class number formula, and Dirichlet’s theorem on primes in arithmetic progressions. A few research problems arising out of these results are mentioned together with the progress made in the direction of each problem. Following the classical approach of Dedekind’s theory of ideals, the book aims at arousing the reader’s interest in the current research being held in the subject area. It not only proves basic results but pairs them with recent developments, making the book relevant and thought-provoking. Historical notes are given at various places. Featured with numerous related exercises and examples, this book is of significant value to students and researchers associated with the field. The book also is suitable for independent study. The only prerequisite is basic knowledge of abstract algebra and elementary number theory.
Algebra
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Author : Falko Lorenz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-24
Algebra written by Falko Lorenz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-24 with Mathematics categories.
This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read it without difficulty. It is recommended either as a textbook for some particular algebraic topic or as a reference book for consultations in a selected fundamental branch of algebra. The book contains a wealth of material. Amongst the topics covered in Volume are the theory of ordered fields and Nullstellen Theorems. Known researcher Lorenz also includes the fundamentals of the theory of quadratic forms, of valuations, local fields and modules. What’s more, the book contains some lesser known or nontraditional results – for instance, Tsen's results on the solubility of systems of polynomial equations with a sufficiently large number of indeterminates.
A Textbook Of B Sc Mathematics Linear Algebra
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Author : V Venkateswara Rao, N Krishnamurthy, B V S S Sarma S Anjaneya Sastry, S Ranganatham & Dr. R Bharavi Sharma
language : en
Publisher: S. Chand Publishing
Release Date :
A Textbook Of B Sc Mathematics Linear Algebra written by V Venkateswara Rao, N Krishnamurthy, B V S S Sarma S Anjaneya Sastry, S Ranganatham & Dr. R Bharavi Sharma and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
This "Textbook of B.Sc Mathematics" for the students studying third year first semester in all universities of Telangana state was first published in the year 1988 and has undergone several editions and many reprints.
A Textbook Of Modern Algebra
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Author : B. Balakrishnan
language : en
Publisher:
Release Date : 1978
A Textbook Of Modern Algebra written by B. Balakrishnan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Algebra categories.
Undergraduate Algebra
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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Undergraduate Algebra written by Serge Lang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group
Change And Invariance
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Author : Ilya Sinitsky
language : en
Publisher: BRILL
Release Date : 2019-02-18
Change And Invariance written by Ilya Sinitsky and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-18 with Education categories.
The world is an interplay of variation and constancy—a medley of differences and similarities—and this change and invariance is, largely, a language of science and mathematics. This book proposes a unique approach for developing mathematical insight through the perspective of change and invariance as it applies to the properties of numbers and shapes.
Algebra Chapter 0
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Author : Paolo Aluffi
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-11-09
Algebra Chapter 0 written by Paolo Aluffi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-09 with Education categories.
Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.