{"type":"product","schema_version":"1.0","item_id":"101737886683","canonical_url":"https://tw.bid.yahoo.com/item/101737886683","title":"A First Course in Sobolev Spaces (2/e)｜Leoni｜絕版,自藏精裝書,未使用","subtitle":null,"condition":"近全新","currency":"TWD","observed_at":"2026-05-20T02:11:49.715Z","current_price":3150,"original_price":null,"stock_status":"low_stock","available_quantity":1,"sold_quantity":0,"seller":{"id":"Y4762459297","name":"售出不退,買家負擔所有運送風險","positive_rate":null,"rating_count":null},"images":[{"url":"https://img.yec.tw/ob/image/3d60f916-03cb-41e4-9635-b2a44fba7622.jpg","role":"main","alt":"商品主圖","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/35890b12-7b23-4835-9234-fc41f83e62e1.jpg","role":"detail","alt":"商品圖片 2","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/f3215281-8333-424a-ba96-2eac9892f701.jpg","role":"detail","alt":"商品圖片 3","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/4d8e6439-4518-42af-9d1d-0c5a67004aaf.jpg","role":"detail","alt":"商品圖片 4","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/3f035d88-15ed-48f7-a6aa-41998b58f298.jpg","role":"detail","alt":"商品圖片 5","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/3ab8be18-a65a-4b61-ad69-31964e7e2ff9.jpg","role":"detail","alt":"商品圖片 6","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/0c0ff69a-99ce-43cd-b524-ae32b8f42393.jpg","role":"detail","alt":"商品圖片 7","width":null,"height":null}],"description":"自藏，有書套，在收藏箱中未使用過\n\n此書的精裝版本市面上已絕版\n\n外觀保存如圖，售出不退\n\nＡＭＳ介紹＆章節如下\n\nGraduate Studies in Mathematics\n\nVolume: 181; 2017; 734 pp\n\nThis book is about differentiation of functions. It is divided into two parts, which can be used as different textbooks, one for an advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The first part develops the theory of monotone, absolutely continuous, and bounded variation functions of one variable and their relationship with Lebesgue–Stieltjes measures and Sobolev functions. It also studies decreasing rearrangement and curves. The second edition includes a chapter on functions mapping time into Banach spaces.\nThe second part of the book studies functions of several variables. It begins with an overview of classical results such as Rademacher's and Stepanoff's differentiability theorems, Whitney's extension theorem, Brouwer's fixed point theorem, and the divergence theorem for Lipschitz domains. It then moves to distributions, Fourier transforms and tempered distributions.\n\nThe remaining chapters are a treatise on Sobolev functions. The second edition focuses more on higher order derivatives and it includes the interpolation theorems of Gagliardo and Nirenberg. It studies embedding theorems, extension domains, chain rule, superposition, Poincaré's inequalities and traces.\n\nA major change compared to the first edition is the chapter on Besov spaces, which are now treated using interpolation theory.\n\n- Part 1. Functions of one variable\n\n- Monotone functions\n\n- Functions of bounded pointwise variation\n\n- Absolutely continuous functions\n\n- Decreasing rearrangement\n\n- Curves\n\n- Lebesgue–Stieltjes measures\n\n- Functions of bounded variation and Sobolev functions\n\n- The infinite-dimensional case\n\n- Part 2. Functions of several variables\n\n- Change of variables and the divergence theorem\n\n- Distributions\n\n- Sobolev spaces\n\n- Sobolev spaces: Embeddings\n\n- Sobolev spaces: Further properties\n\n- Functio...","shipping_methods":[{"name":"郵局掛號","fee":0,"currency":"TWD"},{"name":"7-ELEVEN取貨付款","fee":0,"currency":"TWD"},{"name":"7-ELEVEN取貨不付款","fee":0,"currency":"TWD"},{"name":"面交/自取/不寄送","fee":0,"currency":"TWD"},{"name":"萊爾富取貨付款","fee":0,"currency":"TWD"}],"lowest_shipping_fee":null,"payment_methods":["ATM轉帳","萊爾富取貨付款","7-ELEVEN取貨付款"],"category_id":"2092095952","category_name":"理工醫","breadcrumb":[{"id":"3994318","name":"圖書/影音/文具","url":"/tw/%E5%9C%96%E6%9B%B8-%E5%BD%B1%E9%9F%B3-%E6%96%87%E5%85%B7-3994318-category.html"},{"id":"2092064185","name":"圖書與雜誌","url":"/tw/%E5%9C%96%E6%9B%B8%E8%88%87%E9%9B%9C%E8%AA%8C-2092064185-category.html"},{"id":"2092073405","name":"教育/考試用書","url":"/tw/%E6%95%99%E8%82%B2-%E8%80%83%E8%A9%A6%E7%94%A8%E6%9B%B8-2092073405-category.html"},{"id":"2092079015","name":"教科書","url":"/tw/%E6%95%99%E7%A7%91%E6%9B%B8-2092079015-category.html"},{"id":"2092095948","name":"大專/大學用書","url":"/tw/%E5%A4%A7%E5%B0%88-%E5%A4%A7%E5%AD%B8%E7%94%A8%E6%9B%B8-2092095948-category.html"},{"id":"2092095952","name":"理工醫","url":"/tw/%E7%90%86%E5%B7%A5%E9%86%AB-2092095952-category.html"}],"view_count":0,"watch_count":0,"hashtags":["Sobolev","Leoni","美國研究生數學教材","精裝書","Besov"]}