预售 【中商原版】爱德华 哈里森 p-adic 微分方程 p-adic Differential Equations 英文原版 Kiran S Kedlaya 数学 几何学 晶体同
爱德华·哈里森：p-adic 微分方程 p-adic Differential Equations
基本信息
Series:Cambridge Studies in Advanced Mathematics
Format:Hardback 420 pages, Worked examples or Exercises
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Edition:2 Revised edition
ISBN:9781009123341
Published:9 Jun 2022
Weight:922g
Dimensions:159 x 236 x 43 (mm)
页面参数仅供参考，具体以实物为准
书籍简介
本书现已出版第二版，对p-adic 微分方程进行了独特的详细研究。假设只有研究生水平的数论背景，该书将理论从原理一直建立到当前研究的前沿，强调与常微分方程经典理论的类比和联系。作者包括许多原创性的结果，这些结果在P-adic几何学、晶体同调学、P-adic Hodge理论、完形空间和算术品种的L-函数的算法的研究中起着关键作用。这个更新版包含五个新的章节，从一个更全局的角度重新审视P-adic微分方程解的收敛理论，介绍投影线的Berkovich分析，将收敛多边形定义为投影线上的函数，并从收敛多边形的Laplacian方面推导出一个全局指数定理。
Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of $P$-adic geometry, crystalline cohomology, $P$-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of $P$-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon.
作者简介
Kiran S. Kedlaya是加州大学圣地亚哥分校的Stefan E. Warschawski数学教授。他在数论、代数几何和理论计算机科学方面发表了100多篇研究文章，并出版了几本书，包括两本关于普特南竞赛的书。他曾获得斯隆奖学金和古根海姆奖学金，并被任命为ICM特邀演讲人和美国数学学会研究员。
Kiran S. Kedlaya is the Stefan E. Warschawski Professor of Mathematics at University of California, San Diego. He has published over 100 research articles in number theory, algebraic geometry, and theoretical computer science, as well as several books, including two on the Putnam competition. He has received a Presidential Early Career Award, a Sloan Fellowship, and a Guggenheim Fellowship, and been named an ICM invited speaker and a fellow of the American Mathematical Society.
目录
Preface; 0. Introductory remarks; Part I. Tools of $P$-adic Analysis: 1. Norms on algebraic structures; 2. Newton polygons; 3. Ramification theory; 4. Matrix analysis; Part II. Differential Algebra: 5. Formalism of differential algebra; 6. Metric properties of differential modules; 7. Regular and irregular singularities; Part III. $P$-adic Differential Equations on Discs and Annuli: 8. Rings of functions on discs and annuli; 9. Radius and generic radius of convergence; 10. Frobenius pullback and pushforward; 11. Variation of generic and subsidiary radii; 12. Decomposition by subsidiary radii; 13. $P$-adic exponents; Part IV. Difference Algebra and Frobenius Modules: 14. Formalism of difference algebra; 15. Frobenius modules; 16. Frobenius modules over the Robba ring; Part V. Frobenius Structures: 17. Frobenius structures on differential modules; 18. Effective convergence bounds; 19. Galois representations and differential modules; Part VI. The $P$-adic Local Monodromy Theorem: 20. The $P$-adic local monodromy theorem; 21. The $P$-adic local monodromy theorem: proof; 22. $P$-adic monodromy without Frobenius structures; Part VII. Global Theory: 23. Banach rings and their spectra; 24. The Berkovich projective line; 25. Convergence polygons; 26. Index theorems; 27. Local constancy at type-4 points; Appendix A: Picard-Fuchs modules; Appendix B: Rigid cohomology Appendix C: $P$-adic Hodge theory; References; Index of notations; Index.
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爱德华·哈里森：p-adic 微分方程 p-adic Differential Equations
基本信息
Series:Cambridge Studies in Advanced Mathematics
Format:Hardback 420 pages, Worked examples or Exercises
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Edition:2 Revised edition
ISBN:9781009123341
Published:9 Jun 2022
Weight:922g
Dimensions:159 x 236 x 43 (mm)
页面参数仅供参考，具体以实物为准
书籍简介
本书现已出版第二版，对p-adic 微分方程进行了独特的详细研究。假设只有研究生水平的数论背景，该书将理论从原理一直建立到当前研究的前沿，强调与常微分方程经典理论的类比和联系。作者包括许多原创性的结果，这些结果在P-adic几何学、晶体同调学、P-adic Hodge理论、完形空间和算术品种的L-函数的算法的研究中起着关键作用。这个更新版包含五个新的章节，从一个更全局的角度重新审视P-adic微分方程解的收敛理论，介绍投影线的Berkovich分析，将收敛多边形定义为投影线上的函数，并从收敛多边形的Laplacian方面推导出一个全局指数定理。
Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of $P$-adic geometry, crystalline cohomology, $P$-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of $P$-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon.
作者简介
Kiran S. Kedlaya是加州大学圣地亚哥分校的Stefan E. Warschawski数学教授。他在数论、代数几何和理论计算机科学方面发表了100多篇研究文章，并出版了几本书，包括两本关于普特南竞赛的书。他曾获得斯隆奖学金和古根海姆奖学金，并被任命为ICM特邀演讲人和美国数学学会研究员。
Kiran S. Kedlaya is the Stefan E. Warschawski Professor of Mathematics at University of California, San Diego. He has published over 100 research articles in number theory, algebraic geometry, and theoretical computer science, as well as several books, including two on the Putnam competition. He has received a Presidential Early Career Award, a Sloan Fellowship, and a Guggenheim Fellowship, and been named an ICM invited speaker and a fellow of the American Mathematical Society.
目录
Preface; 0. Introductory remarks; Part I. Tools of $P$-adic Analysis: 1. Norms on algebraic structures; 2. Newton polygons; 3. Ramification theory; 4. Matrix analysis; Part II. Differential Algebra: 5. Formalism of differential algebra; 6. Metric properties of differential modules; 7. Regular and irregular singularities; Part III. $P$-adic Differential Equations on Discs and Annuli: 8. Rings of functions on discs and annuli; 9. Radius and generic radius of convergence; 10. Frobenius pullback and pushforward; 11. Variation of generic and subsidiary radii; 12. Decomposition by subsidiary radii; 13. $P$-adic exponents; Part IV. Difference Algebra and Frobenius Modules: 14. Formalism of difference algebra; 15. Frobenius modules; 16. Frobenius modules over the Robba ring; Part V. Frobenius Structures: 17. Frobenius structures on differential modules; 18. Effective convergence bounds; 19. Galois representations and differential modules; Part VI. The $P$-adic Local Monodromy Theorem: 20. The $P$-adic local monodromy theorem; 21. The $P$-adic local monodromy theorem: proof; 22. $P$-adic monodromy without Frobenius structures; Part VII. Global Theory: 23. Banach rings and their spectra; 24. The Berkovich projective line; 25. Convergence polygons; 26. Index theorems; 27. Local constancy at type-4 points; Appendix A: Picard-Fuchs modules; Appendix B: Rigid cohomology Appendix C: $P$-adic Hodge theory; References; Index of notations; Index.
Shipping Overview:
• Shipping: Standard Domestic Shipping within the United States charges USD 4.99. Standard International Shipping from United Kingdom, Germany and Japan to the United States charges 14.99.
• Order Processing: Please allow 1-2 business days for order processing and preparation before shipment.
• Domestic Shipping: Orders within the U.S. are shipped via USPS or FedEx, depending on the origin of the product. The average transit time is 3-7 business days.
• International Shipping: Currently, we only ship within the USA.
• Tracking Information: Every order is trackable. You will receive a tracking number once your order has been shipped. Products may be shipped from various global fulfillment centers.
Shipping Delays:
Please note that shipping times may vary due to factors beyond our control, such as weather conditions, natural disasters, or peak holiday periods. While we strive to ensure timely delivery, the exact arrival time cannot be guaranteed and is managed by the shipping carrier.
Shipping Options:
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Standard Delivery: Most orders are shipped within 3-7 business days. Larger items may utilize LTL shipping for safe handling.
-
Handling Time: We handle shipments on business days (Monday - Friday), with a preparation time of 1-2 days.
-
Additional Charges: Some items require additional shipping charges due to their size, weight, or special handling. These charges are specified on the product pages and are not eligible for shipping discounts.
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Exclusions: Gift cards, packaging, taxes, and prior purchases do not count toward the minimum purchase requirement for free shipping. This offer is valid only for shipments to U.S. addresses, including Puerto Rico.
Delivery Details:
-
Estimates: Standard shipping within the US typically takes 3-7 business days. These are estimates and not guarantees.
-
Shipping Restrictions: We ship to all 50 states, Washington, DC, U.S. territories, and APO/FPO/DPO addresses. Shipping options vary based on the delivery address.
-
Remote Areas: Shipments to remote areas may incur additional charges or require pickup from a nearby shipping partner’s location.
Shipping Confirmation:
You will receive a shipping confirmation email with a tracking number as soon as your order is dispatched. If you do not receive this email immediately, please be assured that your items will arrive within the estimated delivery window provided at checkout.
Order Modifications:
If you need to cancel or modify your order, please contact our customer support immediately.
Issues with Delivery:
If your order shows as delivered but you have not received it, please contact the shipping carrier directly to resolve the issue. For persistent problems, contact our customer service at cs@everymarket.com.
Customer Support:
Our team is available 24/7 to assist you with any questions or concerns regarding your order. We are committed to ensuring a smooth shopping experience.
Return & Refund Policy Overview
Please review our return and refund policies below to ensure a smooth transaction process.
Return Policy
-
Duration: You have 30 days from receiving your item to initiate a return.
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Condition: Items must be unworn, unwashed, with original tags and packaging intact.
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Shipping Costs: Customers are responsible for return shipping costs.
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Packaging: Ensure returned items are well-packaged to avoid damage during transit.
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Tracking: Use a trackable and insured shipping method as we are not liable for items lost or damaged on return.
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Initiating a Return: Contact us at cs@everymarket.com to start your return. We will provide a return shipping label and instructions upon approval. Returns without prior approval will not be accepted.
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Window: Eligible products may be returned within 30 days of delivery for a refund.
-
Refund Method: Refunds are processed to the original payment method or as store credit for items purchased with gift cards.
-
Processing Time: Refunds are processed within 3-5 business days after we receive the return; please allow additional time for shipping and bank processing.
Claims
Inspect your order upon arrival and report any defects, damages, or incorrect items immediately to allow us to address the issue. For claims, contact our support team with details of the issue.
Exchange Policy
For the quickest service, return your original item and place a new order for the desired product once your return is accepted.
Return Address
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Customer Support
Available 24/7 for any questions or assistance needed:
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Phone: +1 636-312-5925
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Email: cs@everymarket.com
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