Advanced Algebra PDF Download
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Author | : Anthony W. Knapp |
Publisher | : Springer Science & Business Media |
Total Pages | : 757 |
Release | : 2007-10-11 |
Genre | : Mathematics |
ISBN | : 0817646132 |
Download Advanced Algebra Book in PDF, ePub and Kindle
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
Author | : Joseph J. Rotman |
Publisher | : American Mathematical Society |
Total Pages | : 570 |
Release | : 2023-02-22 |
Genre | : Mathematics |
ISBN | : 1470472759 |
Download Advanced Modern Algebra Book in PDF, ePub and Kindle
This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.
Author | : Nathaniel Johnston |
Publisher | : Springer Nature |
Total Pages | : 482 |
Release | : 2021-05-19 |
Genre | : Mathematics |
ISBN | : 3030528111 |
Download Introduction to Linear and Matrix Algebra Book in PDF, ePub and Kindle
This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.
Author | : Anthony W. Knapp |
Publisher | : Springer Science & Business Media |
Total Pages | : 762 |
Release | : 2007-07-28 |
Genre | : Mathematics |
ISBN | : 0817645292 |
Download Basic Algebra Book in PDF, ePub and Kindle
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.
Author | : Hugo Woerdeman |
Publisher | : CRC Press |
Total Pages | : 348 |
Release | : 2015-12-23 |
Genre | : Mathematics |
ISBN | : 149875404X |
Download Advanced Linear Algebra Book in PDF, ePub and Kindle
Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author’s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields. The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products. Written in clear and concise language, the text sticks to the development of linear algebra without excessively addressing applications. A unique chapter on "How to Use Linear Algebra" is offered after the theory is presented. In addition, students are given pointers on how to start a research project. The proofs are clear and complete and the exercises are well designed. In addition, full solutions are included for almost all exercises.
Author | : Harris et al |
Publisher | : |
Total Pages | : |
Release | : 2017-08-21 |
Genre | : |
ISBN | : 9781524921286 |
Download Advanced Algebra Book in PDF, ePub and Kindle
Author | : Edwin Arthur Maxwell |
Publisher | : CUP Archive |
Total Pages | : 332 |
Release | : 1966 |
Genre | : Algebra |
ISBN | : |
Download Advanced Algebra Book in PDF, ePub and Kindle
Author | : Steven Roman |
Publisher | : Springer Science & Business Media |
Total Pages | : 488 |
Release | : 2007-12-31 |
Genre | : Mathematics |
ISBN | : 038727474X |
Download Advanced Linear Algebra Book in PDF, ePub and Kindle
Covers a notably broad range of topics, including some topics not generally found in linear algebra books Contains a discussion of the basics of linear algebra
Author | : Joseph Victor Collins |
Publisher | : |
Total Pages | : 362 |
Release | : 1913 |
Genre | : Algebra |
ISBN | : |
Download Advanced Algebra Book in PDF, ePub and Kindle
This text is arranged to follow a first year course, and meets the requirements in algebra for both college of liberal arts, technical schools, and high schools with advanced courses. The text begins with a review of the first year course, which aims to unify arithmetic, algebra, and plane geometry as effectively as possible. The second part of the text advances to treat the remaining topics belonging to elementary algebra, and finishes with the topics belonging to advanced algebra. The aim of the entire volume is to address all topics with simplicity, clearness, and conciseness without sacrificing rigor.
Author | : Anthony W. Knapp |
Publisher | : Springer Science & Business Media |
Total Pages | : 754 |
Release | : 2007-10-11 |
Genre | : Mathematics |
ISBN | : 0817646132 |
Download Advanced Algebra Book in PDF, ePub and Kindle
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.