Elementary Abstract Algebra Examples And Applications Volume 1 Foundations
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| Author | : Justin Hill |
| Publisher | : Lulu.com |
| Total Pages | : 402 |
| Release | : 2018-08-22 |
| Genre | : Education |
| ISBN | : 0359042112 |
This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format.
| Author | : Charles C Pinter |
| Publisher | : Courier Corporation |
| Total Pages | : 402 |
| Release | : 2010-01-14 |
| Genre | : Mathematics |
| ISBN | : 0486474178 |
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.
| Author | : John Redden |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2011 |
| Genre | : Algebra |
| ISBN | : 9781453300930 |
| Author | : Sheldon Axler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 276 |
| Release | : 1997-07-18 |
| Genre | : Mathematics |
| ISBN | : 9780387982595 |
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.
| Author | : Daniel Huybrechts |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 336 |
| Release | : 2005 |
| Genre | : Computers |
| ISBN | : 9783540212904 |
Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)
| Author | : Bruno Nachtergaele |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 209 |
| Release | : 2015-11-30 |
| Genre | : Mathematics |
| ISBN | : 9814723797 |
This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.
| Author | : Jonathan S. Golan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 443 |
| Release | : 2007-04-05 |
| Genre | : Mathematics |
| ISBN | : 1402054955 |
This book rigorously deals with the abstract theory and, at the same time, devotes considerable space to the numerical and computational aspects of linear algebra. It features a large number of thumbnail portraits of researchers who have contributed to the development of linear algebra as we know it today and also includes over 1,000 exercises, many of which are very challenging. The book can be used as a self-study guide; a textbook for a course in advanced linear algebra, either at the upper-class undergraduate level or at the first-year graduate level; or as a reference book.
| Author | : University of Michigan |
| Publisher | : UM Libraries |
| Total Pages | : 1240 |
| Release | : 1974 |
| Genre | : Education, Higher |
| ISBN | : |
Each number is the catalogue of a specific school or college of the University.
| Author | : Audrey Terras |
| Publisher | : Cambridge University Press |
| Total Pages | : 331 |
| Release | : 2019 |
| Genre | : Mathematics |
| ISBN | : 1107164079 |
This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.
| Author | : Stephen Andrilli |
| Publisher | : Academic Press |
| Total Pages | : 773 |
| Release | : 2010-02-04 |
| Genre | : Mathematics |
| ISBN | : 0080886256 |
Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics. Ancillary list:* Maple Algorithmic testing- Maple TA- www.maplesoft.com - Includes a wide variety of applications, technology tips and exercises, organized in chart format for easy reference - More than 310 numbered examples in the text at least one for each new concept or application - Exercise sets ordered by increasing difficulty, many with multiple parts for a total of more than 2135 questions - Provides an early introduction to eigenvalues/eigenvectors - A Student solutions manual, containing fully worked out solutions and instructors manual available
