Download or read book Higher Algebra Abstract and Linear written by Sadhan Kumar Mapa and published by . This book was released on 2014-04-30 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Higher Algebra written by Ghosh & Maity and published by New Central Book Agency. This book was released on 2013 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the preparation of the book, the subject has been developed logically, complete as far as it goes, and the spirit of the current trends in modern Algebra has been maintained.
Download or read book Higher Algebra Classical written by Sadhan Kumar Mapa and published by . This book was released on 2014-04-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay Childs and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level course at the State University of New York at Albany entitled Classical Algebra. In the 1950s and before, it was customary for the first course in algebra to be a course in the theory of equations, consisting of a study of polynomials over the complex, real, and rational numbers, and, to a lesser extent, linear algebra from the point of view of systems of equations. Abstract algebra, that is, the study of groups, rings, and fields, usually followed such a course. In recent years the theory of equations course has disappeared. Without it, students entering abstract algebra courses tend to lack the experience in the algebraic theory of the basic classical examples of the integers and polynomials necessary for understanding, and more importantly, for ap preciating the formalism. To meet this problem, several texts have recently appeared introducing algebra through number theory.
Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advanced Linear Algebra written by Nicholas Loehr and published by CRC Press. This book was released on 2014-04-10 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra,
Download or read book Introduction to Real Analysis written by S.K. Mapa and published by Sarat Book Distributors. This book was released on 2014-04 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.
Download or read book Contemporary Abstract Algebra 9th Edition written by Joseph A. Gallian and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay N. Childs and published by Springer Science & Business Media. This book was released on 2012-12-04 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.
Download or read book Higher Algebra Second Edition Revised and Corrected written by Henry Sinclair HALL (and KNIGHT (Samuel Ratcliffe)) and published by . This book was released on 1888 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay Childs and published by Springer Science & Business Media. This book was released on 1995 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written as an introduction to higher algebra for students with a background of a year of calculus. The objective of the book is to give students enough experience in the algebraic theory of the integers and polynomials to appreciate the basic concepts of abstract algebra. The main theoretical thread is to develop algebraic properties of the ring of integers: unique factorization into primes, congruences and congruence classes, Fermat's theorem, the Chinese remainder theorem, and then again for the ring of polynomials. Concurrently with the theoretical development, the book presents a broad variety of applications, to cryptography, error-correcting codes, Latin squares, tournaments, techniques of integration and especially to elementary and computational number theory. Many of the recent advances in computational number theory are built on the mathematics which is presented in this book. Thus the book may be used as a first course in higher algebra, as originally intended, but may also serve as an introduction to modern computational number theory, or to applied algebra.
Download or read book Linear Algebra Done Right written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 1997-07-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
Download or read book Modern Higher Algebra written by Abraham Adrian Albert and published by Courier Dover Publications. This book was released on 2018-03-21 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Chicago: University of Chicago Press, 1937.
Download or read book Linear Algebra written by Richard C. Penney and published by John Wiley & Sons. This book was released on 2020-12-08 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition "This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications." - Electric Review Learn foundational and advanced topics in linear algebra with this concise and approachable resource A comprehensive introduction, Linear Algebra: Ideas and Applications, Fifth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of explicit numerical examples, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fifth Edition also features: A new application section on section on Google’s Page Rank Algorithm. A new application section on pricing long term health insurance at a Continuing Care Retirement Community (CCRC). Many other illuminating applications of linear algebra with self-study questions for additional study. End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB® code Linear Algebra: Ideas and Applications, Fifth Edition is an excellent undergraduate-level textbook for one or two semester undergraduate courses in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.
Download or read book Elementary Linear Algebra written by Howard Anton and published by Wiley. This book was released on 2004-12-27 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. Clear, accessible, step-by-step explanations make the material crystal clear. The authors spotlight the relationships between concepts to give a unified and complete picture. Established the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues.
Download or read book Linear Algebra for All Undergraduates written by D. Murdoch and published by Createspace Independent Publishing Platform. This book was released on 2018-05-05 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blue Collar Scholar makes yet another wonderful out of print textbook available to everyone at a price everyone can afford with this outstanding linear algebra text. Murdoch's book was one of the first linear algebra textbooks that tried to give a broad presentation for well-prepared sophomores or juniors of average ability which was both mathematically careful and rich in applications. It's beautifully written, thorough and very well organized. This book emphasizes the relationship between linear algebra and the Euclidean and analytic geometry of the plane (and via isomorphism, the complex plane C) and three dimensional space.Murdoch completely avoids abstract vector spaces in the main text by limiting the scalar fields to R and C. It allows a careful presentation of the subject without recourse to abstract algebra concepts in a familiar context most students at this level should have at least a passing acquaintance with. Chapter 1 begins with vector spaces and their elementary properties, all strictly over the fields and C. No essential structure is lost in this manner that cannot be omitted in an introduction and the generalization to abstract fields is presented briefly in an appendix. Although the book's overall emphasis is on linear transformations, Chapters 2 and 3 give a virtually complete presentation of the theory and application of linear systems of n variables, n x n matrices and determinants. In a concrete presentation, this is the natural way to go because most applications and calculations in linear algebra are done via operations on matrices i.e. linear transformations with a choice of basis. However, this actual relationship between linear transformations and matrices is not explored explicitly until later, after a great deal of experience is obtained manipulating matrices. This furnishes a great many specific examples and provides experience with calculations. Chapters 4 and 5 develop classical geometry, inner products and orthogonality, relations (complements and projections) in real spaces .Chapter 6 finally defines and develops abstract linear transformations in low dimensions and the relationship to matrices under a change of basis. The critical theory of spectral analysis-i.e. the characteristic equation of a linear system and its solution producing eigenvalues as its roots and the resulting eigenvectors-is developed at length in chapter 7. It gives a detailed and very clear explication of the deduction of the Jordan form of a matrix-a critical topic many authors struggle to give an understandable but elementary discussion of. Chapter 8 gives applications of linear algebra to the analysis of quadratic forms, an old topic that usually isn't discussed much in basic courses anymore, but is quite important in both algebra and physics. The last chapter extends the previous results to complex vector spaces, where adjoints and Hermitian matrices come into play. In addition, Blue Collar Scholar founder and editor has added his usual personal 2018 edition preface, giving the historical background of this early textbook and the gradual emergence and evolution of the linear algebra course in American undergraduate mathematics programs. He has also added a substantial new Recommended Reading section, suggesting further reading in linear algebra for both teachers and students of this incredibly important subject. This careful, rich and inexpensive text is a fantastic choice for either a standard linear algebra text or self-study by undergraduates or graduate students in the physical or social sciences who need to learn linear algebra for either applications or the theory. The prerequisites are only high school algebra and geometry. A prior course in calculus, while helpful, is not really necessary. It should become a classic in rapid course and a popular selection for anyone and everyone interested in teaching or learning this beautiful and basic subject.
