Title
Number Theory in the Spirit of Ramanujan,New
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Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics.The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.
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- Q: How many pages does this book have? A: This book has one hundred eighty-seven pages. It provides a thorough introduction to the work of Ramanujan in number theory.
- Q: What is the binding type of this book? A: This book is a paperback edition. The paperback binding makes it lightweight and easy to handle.
- Q: What are the dimensions of this book? A: The dimensions of this book are five point seventy-five inches by eight point five inches. It has a slim profile at zero point fifty-one inches thick.
- Q: Who is the author of this book? A: The author of this book is Bruce C. Berndt. He presents Ramanujan's contributions in a comprehensive manner.
- Q: What topics are covered in this book? A: This book covers topics such as $q$-series, theta functions, partitions, and the Ramanujan tau function. It also discusses historical contexts of these concepts.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for advanced undergraduates and beginning graduate students. It provides foundational knowledge in number theory.
- Q: How can I use this book for my studies? A: You can use this book as a reference for number theory topics and as a supplement to your advanced mathematics courses. It includes discussions that help contextualize Ramanujan's work.
- Q: What level of prior knowledge do I need to read this book? A: A background in basic number theory or higher mathematics is recommended. This will help you understand the advanced topics discussed.
- Q: Can I read this book if I'm not a math major? A: Yes, non-math majors interested in number theory can read this book. However, familiarity with mathematical concepts will enhance comprehension.
- Q: How should I care for this book? A: To care for this book, store it in a dry place and avoid exposure to direct sunlight. This will help preserve its condition.
- Q: Is this book safe for readers of all ages? A: Yes, this book is appropriate for advanced students and above. It contains complex mathematical concepts that may not be suitable for younger readers.
- Q: What if my book arrives damaged? A: If your book arrives damaged, please contact customer support for assistance. They can guide you through the return or exchange process.
- Q: Does this book have any illustrations or graphs? A: The book primarily focuses on text and mathematical proofs, with minimal illustrations. Readers can expect detailed discussions rather than visual aids.
- Q: Is there a glossary or index in this book? A: Yes, this book includes an index that helps locate specific topics discussed in the text. This can be useful for quick reference.
- Q: How does this book compare to other number theory texts? A: This book uniquely focuses on Ramanujan's contributions, which sets it apart from general number theory texts. It emphasizes historical context and contemporary relevance.
- Q: What is the publication date of this book? A: The exact publication date may vary, so please check the listing for specific details. It is published by the American Mathematical Society.