Abstract Algebra: Structures And Applications hardcover english - 17 Jul 2015
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| Publisher | Apple Academic Press Inc. |
| ISBN 13 | 9781482248906 |
| ISBN 10 | 1482248905 |
| Book Subtitle | Structures And Applications |
| Book Description | A Discovery-Based Approach to Learning about Algebraic StructuresAbstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a one-semester introductory course to a full two-semester sequence.The book presents the core topics of structures in a consistent order:Definition of structureMotivationExamplesGeneral propertiesImportant objectsDescriptionSubobjectsMorphismsSubclassesQuotient objectsAction structuresApplicationsThe text uses the general concept of an algebraic structure as a unifying principle and introduces other algebraic structures besides the three standard ones (groups, rings, and fields). Examples, exercises, investigative projects, and entire sections illustrate how abstract algebra is applied to areas of science and other branches of mathematics. |
| Editorial Review | ... lucid, detailed, and versatile main text comes with a wealth of illustrating examples and very instructive exercises in each single section of the book, and each chapter ends with a section containing project ideas (and hints) to challenge the student to write her or his own investigative or expository papers on related topics. ... an excellent introduction to the principles of abstract algebra for upper undergraduate and graduate students, and a valuable source for instructors likewise. No doubt, this text is a highly welcome addition to the already existing plethora of primers on abstract algebra in the mathematical literature. |
| About the Author | Stephen Lovett is an associate professor of mathematics at Wheaton College. He is a member of the Mathematical Association of America, American Mathematical Society, and Association of Christians in the Mathematical Sciences. He earned a PhD from Northeastern University. His research interests include commutative algebra, algebraic geometry, differential geometry, cryptography, and discrete dynamical systems |
| Language | English |
| Author | Stephen Lovett |
| Publication Date | 17 Jul 2015 |
| Number of Pages | 720 |
Abstract Algebra: Structures And Applications hardcover english - 17 Jul 2015
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