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Item #:
41586348
The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and their Jacobians (Lecture Notes in Mathematics, 1358)
Item #:
41586348
USD 38
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Mumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor.
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What Stands Out
Comprehensive Coverage
This book offers an extensive examination of varieties and schemes, making it essential for students and researchers in algebraic geometry. It thoroughly covers curves and their Jacobians, providing a deep understanding of the subject.
Historical Context
Includes the renowned Michigan Lectures, providing valuable insights and context from 1974. Researchers can appreciate the evolution of ideas in algebraic geometry, enhancing the reader's comprehension and appreciation of the field.
Quality Lectures
The second edition presents meticulously edited lectures with updated information, ensuring clarity and accuracy. Readers benefit from high-quality content and well-organized material that is invaluable for academic and practical applications.
Product Details
| Item Weight | 1.2 lbs (540 grams) |
Who Should Buy?
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Graduate Students
Ideal for graduate students in mathematics specializing in algebraic geometry and related fields seeking comprehensive resources.
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Researchers
Researchers working on algebraic varieties and schemes can find valuable insights and advanced topics within the text.
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Mathematics Instructors
Instructors teaching advanced mathematics courses may use this as a reference or supplementary material for their lectures.
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Beginners
Beginners in mathematics may struggle with the advanced concepts presented, making it less suitable for their learning needs.
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Casual Readers
Those looking for light reading or general mathematical knowledge will find this text too specialized and dense.
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Non-Mathematicians
Individuals without a strong mathematical background may find the content too complex and difficult to comprehend.
Product Description
The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and their Jacobians (Lecture Notes in Mathematics, 1358) Second Edition 1999
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Customer Questions & Answers
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Question:
What is the main focus of 'The Red Book of Varieties and Schemes'?
Answer: The primary focus of 'The Red Book of Varieties and Schemes' is to provide an in-depth examination of algebraic geometry, highlighting the interplay between varieties and schemes. Furthermore, it includes significant lectures on curves and their Jacobians, which are crucial concepts within the field. This book is essential for researchers and students looking to deepen their understanding of these foundational topics, as it integrates theoretical frameworks with practical applications. -
Question:
Who are the authors of this book and what is their significance?
Answer: The authors of 'The Red Book of Varieties and Schemes' are David Mumford, who is renowned for his contributions to algebraic geometry, and his collaborators. Their collective insights have shaped contemporary discussions surrounding the theory and application of algebraic varieties. This book serves as a cornerstone for advanced study, making it an invaluable resource for both graduate students and established researchers in the field. -
Question:
Is 'The Red Book of Varieties and Schemes' suitable for beginners in algebraic geometry?
Answer: 'The Red Book of Varieties and Schemes' is primarily aimed at those with a foundational understanding of algebraic geometry. Although it covers fundamental concepts, its depth and complexity may challenge beginners. For novices, it is advisable to start with introductory texts before tackling this advanced material, allowing a smoother transition into the intricate theories discussed in this book. -
Question:
What topics are covered in the Michigan Lectures included in the book?
Answer: The Michigan Lectures included in 'The Red Book of Varieties and Schemes' concentrate on curves and their Jacobians, elucidating their critical roles within algebraic geometry. The lectures explore the properties of different curves, their classifications, and applications in various mathematical frameworks. This content is especially useful for those looking to specialize in areas such as number theory and complex geometry. -
Question:
How does this book compare to others in the field of algebraic geometry?
Answer: 'The Red Book of Varieties and Schemes' is often regarded as a seminal text in algebraic geometry, distinguished by its comprehensive treatment of both theoretical and practical aspects. Compared to other texts, it presents a unique blend of intricate mathematical structures and accessible explanations, making it a preferred choice for scholars wishing to gain a thorough understanding of the subject matter. -
Question:
How can I benefit from reading 'The Red Book of Varieties and Schemes'?
Answer: Reading 'The Red Book of Varieties and Schemes' can significantly enhance your knowledge of algebraic geometry, particularly the theoretical foundations of varieties and schemes. The insights gained can be applied in various research areas, such as number theory, cryptography, and even computer science. Engaging with this material can be crucial for developing advanced problem-solving skills and a robust mathematical framework. -
Question:
Are there practical applications of the concepts in this book?
Answer: Yes, the concepts discussed in 'The Red Book of Varieties and Schemes' have numerous practical applications, particularly in number theory and cryptography. For instance, understanding curves and their Jacobians is essential for designing efficient algorithms in encoding and decoding information. This book equips you with the theoretical tools necessary to tackle real-world mathematical challenges. -
Question:
What kind of reader would find 'The Red Book of Varieties and Schemes' useful?
Answer: Individuals who possess a solid understanding of basic algebraic geometry will find 'The Red Book of Varieties and Schemes' particularly useful. This audience includes graduate students, researchers, and mathematicians aiming to specialize in algebraic geometry, or those looking to refresh their knowledge on varieties and schemes. It serves as an invaluable resource for anyone eager to pursue advanced research in the field. -
Question:
Where can I buy 'The Red Book of Varieties and Schemes' in Palau?
Answer: 'The Red Book of Varieties and Schemes' can be purchased from Ubuy in Palau. Ubuy offers a diverse selection of academic books and provides convenient options for exploring their inventory. Shopping at Ubuy ensures you find this important text, allowing you to dive into the intricate world of algebraic geometry without hassle.
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USD 38
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Features & Benefits
- Comprehensive overview of algebraic geometry.
- Accessible for graduate students and mathematicians from other fields.
- Integrates geometric concepts with commutative algebra tools.
- Covers curves, their moduli spaces, and Jacobians.
- Ideal for those studying schemes in algebraic geometry.
- Includes new insights in the exciting field of moduli problems.
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