Philosophers often debate the existence of such things as numbers and propositions, and say that if these objects exist, they are abstract. But what does it mean to call something 'abstract'? And do we have good reason to believe in the existence of abstract objects? This Element addresses those questions, putting newcomers to these debates in a position to understand what they...(展开全部)

This volume examines the question “Do abstract objects exist?”, presenting new work from contributing authors across different branches of philosophy. The introduction overviews philosophical debate which considers: what objects qualify as abstract, what do we mean by the word "exist” and indeed, what evidence should count in favor or against the thesis that abstract objects ex...(展开全部)

Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in--depth results, using numerous examples and exercises to aid the reader's underst...(展开全部)

David S. Dummit and Richard M. Foote are the authors of Abstract Algebra, 3rd Edition, published by Wiley.

This text is designed to give students insight into the main themes in abstract algebra. Early introduction to recurring notions such as homomorphisms, isomorphisms, actions, and classifications provides a natural flow for the development of basic abstract algebra. Students are immediately exposed to concepts the way an algebraist (or mathematician) envisions and works with the...(展开全部)

In July 2008, illustrator and designer Christopher Niemann began Abstract City, a visual blog for the New York Times. His posts were inspired by the desire to recreate for his readers simple and relatable observations and stories from his own life. In Niemann's hands everyday experiences such as trying to get a good night's sleep, or dealing with appliance cables were transform...(展开全部)

David S. Dummit and Richard M. Foote are the authors of Abstract Algebra, 3rd Edition, published by Wiley.

Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in--depth results, using numerous examples and exercises to aid the reader's underst...(展开全部)

This text is designed to give students insight into the main themes in abstract algebra. Early introduction to recurring notions such as homomorphisms, isomorphisms, actions, and classifications provides a natural flow for the development of basic abstract algebra. Students are immediately exposed to concepts the way an algebraist (or mathematician) envisions and works with the...(展开全部)