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Number Theory,Used
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Modern Number Theory, According To Hecke, Dates From Gauss'S Quadratic Reciprocity Law. The Various Extensions Of This Law And The Generalizations Of The Domains Of Study For Number Theory Have Led To A Rich Network Of Ideas, Which Has Had Effects Throughout Mathematics, In Particular In Algebra. This Volume Of The Encyclopaedia Presents The Main Structures And Results Of Algebraic Number Theory With Emphasis On Algebraic Number Fields And Class Field Theory. Koch Has Written For The Nonspecialist. He Assumes That The Reader Has A General Understanding Of Modern Algebra And Elementary Number Theory. Mostly Only The General Properties Of Algebraic Number Fields And Related Structures Are Included. Special Results Appear Only As Examples Which Illustrate General Features Of The Theory. A Part Of Algebraic Number Theory Serves As A Basic Science For Other Parts Of Mathematics, Such As Arithmetic Algebraic Geometry And The Theory Of Modular Forms. For This Reason, The Chapters On Basic Number Theory, Class Field Theory And Galois Cohomology Contain More Detail Than The Others. This Book Is Suitable For Graduate Students And Research Mathematicians Who Wish To Become Acquainted With The Main Ideas And Methods Of Algebraic Number Theory.
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- Q: How many pages does 'Number Theory' have? A: This book contains four hundred thirty-five pages. It provides a comprehensive overview of algebraic number theory.
- Q: What type of binding does 'Number Theory' use? A: This book is bound in hardcover. The hardcover format enhances durability for repeated use.
- Q: Who is the author of 'Number Theory'? A: The author of this book is Z.I. Borevich. He is known for making complex topics accessible to non-specialists.
- Q: What is the reading level for 'Number Theory'? A: This book is suitable for graduate students and research mathematicians. It assumes a general understanding of modern algebra and elementary number theory.
- Q: Is 'Number Theory' suitable for beginners? A: No, this book is not designed for beginners. It targets readers with a foundational knowledge of algebra and number theory.
- Q: What concepts are covered in 'Number Theory'? A: The book covers key structures and results in algebraic number theory, including algebraic number fields and class field theory.
- Q: How should I store 'Number Theory'? A: Store this book in a cool, dry place away from direct sunlight. This will help preserve its condition over time.
- Q: Can I lend 'Number Theory' to someone? A: Yes, you can lend this book to others. Just ensure they have a background in algebra and number theory for better understanding.
- Q: Is there a warranty for 'Number Theory'? A: Typically, there is no warranty for books. However, check with the retailer for their return policy.
- Q: What if 'Number Theory' arrives damaged? A: If the book arrives damaged, contact the retailer immediately for a replacement or refund. Keep the original packaging for returns.
- Q: Does 'Number Theory' touch on modular forms? A: Yes, the book discusses modular forms as part of the broader context of algebraic number theory.
- Q: Is 'Number Theory' part of a series? A: Yes, it is part of the Encyclopaedia series by Academic Press. This series focuses on various mathematical topics.
- Q: What mathematical areas does 'Number Theory' influence? A: Algebraic number theory serves as a foundation for arithmetic algebraic geometry and the theory of modular forms.
- Q: Are examples included in 'Number Theory'? A: Yes, the book includes special results as examples to illustrate general features of the theory.
- Q: Is this book intended for casual readers? A: No, it is not intended for casual readers. It is designed for those with a serious interest in mathematics.