Title
The Arithmetic Of Elliptic Curves (Graduate Texts In Mathematics, 106),Used
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The Theory Of Elliptic Curves Is Distinguished By Its Long History And By The Diversity Of The Methods That Have Been Used In Its Study. This Book Treats The Arithmetic Theory Of Elliptic Curves In Its Modern Formulation, Through The Use Of Basic Algebraic Number Theory And Algebraic Geometry. The Book Begins With A Brief Discussion Of The Necessary Algebrogeometric Results, And Proceeds With An Exposition Of The Geometry Of Elliptic Curves, The Formal Group Of An Elliptic Curve, Elliptic Curves Over Finite Fields, The Complex Numbers, Local Fields, And Global Fields. The Last Two Chapters Deal With Integral And Rational Points, Including Siegels Theorem And Explicit Computations For The Curve Y^2 = X^3 + Dx.
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- Q: What is the total number of pages in this book? A: This book contains five hundred thirty-three pages. It provides a comprehensive exploration of the arithmetic theory of elliptic curves.
- Q: What are the dimensions of 'The Arithmetic of Elliptic Curves'? A: The book measures six point four two inches in length, one point two inches in width, and nine point three inches in height.
- Q: What type of binding does this book have? A: This book is bound in hardcover. This durable binding is ideal for frequent use and ensures longevity.
- Q: Who is the author of this book? A: The author of this book is Joseph H. Silverman. He is well-known for his expertise in the field of number theory.
- Q: What is the genre of this book? A: This book falls under the category of Algebraic Geometry. It focuses specifically on the arithmetic aspects of elliptic curves.
- Q: Is this book suitable for beginners in mathematics? A: Yes, this book is suitable for readers with a basic understanding of algebra and geometry. It gradually introduces complex concepts related to elliptic curves.
- Q: How do I approach reading this book effectively? A: To read this book effectively, start by reviewing the introductory chapters that cover necessary algebraic concepts. Progress through the chapters systematically for better comprehension.
- Q: Is there a specific audience this book is intended for? A: This book is intended for graduate students and professionals in mathematics. It serves as a comprehensive resource for advanced studies in elliptic curves.
- Q: How should I store this book to keep it in good condition? A: Store this book in a cool, dry place, upright on a shelf. Avoid exposure to direct sunlight to preserve the cover and pages.
- Q: Can I clean the book's cover if it gets dirty? A: Yes, you can clean the book's cover with a soft, dry cloth. Avoid using water or cleaning solutions, as these may damage the cover.
- Q: What if I receive a damaged copy of this book? A: If you receive a damaged copy, you should contact the seller for a return or exchange. Most retailers have a return policy in place for such instances.
- Q: Does this book include any exercises or problems to solve? A: Yes, the book includes exercises at the end of certain chapters. These exercises are designed to reinforce the concepts discussed in the chapters.
- Q: Is this book available in digital format? A: Yes, this book is often available in digital formats. Check with online retailers for eBook options.
- Q: How can I cite this book in my research? A: To cite this book, use the following format: Silverman, Joseph H. The Arithmetic of Elliptic Curves. Springer, 106.
- Q: Are there any prerequisites for understanding this book? A: Yes, a basic understanding of algebraic number theory and geometry is recommended. Familiarity with elliptic curves will also be beneficial.