Modern Higher Algebra [Paperback]

This book, originally published in 1938, provides a detailed exposition of 'modern abstract algebra'.Abraham Adrian Albert (190572) was an American mathematician primarily known for his groundbreaking work on algebra. In this book, which was originally published in 1938, Albert provides a detailed exposition of 'modern abstract algebra', taking into account numerous discoveries in the field during the preceding ten years.Abraham Adrian Albert (190572) was an American mathematician primarily known for his groundbreaking work on algebra. In this book, which was originally published in 1938, Albert provides a detailed exposition of 'modern abstract algebra', taking into account numerous discoveries in the field during the preceding ten years.Abraham Adrian Albert (190572) was an American mathematician primarily known for his groundbreaking work on algebra. In this book, which was originally published in 1938, Albert provides a detailed exposition of 'modern abstract algebra', taking into account numerous discoveries in the field during the preceding ten years. A glossary is included. This is a highly informative book that will be of value to anyone with an interest in the development of algebra and the history of mathematics.Preface; 1. Groups and rings; 2. Rings with a unity element; 3. Matrices; 4. Similarity of square matrices; 5. Symmetric and skew matrices; 6. Finite groups; 7. Fields over F; 8. The Galois theory; 9. Cyclic fields; 10. Algebras of matrices; 11. Introduction to the transcendental theory of fields; 12. Valuation functions; Glossary; Index.