| 书目名称 | Introduction to Calculus and Classical Analysis |
| 编辑 | Omar Hijab |
| 视频video | http://file.papertrans.cn/474/473498/473498.mp4 |
| 概述 | Interesting applications, many of which are not usually found in advanced calculus books.Class tested and contains a wide variety of challenging exercises.Includes supplementary material: |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | This is the second edition of an undergraduate one-variable analysis text. Apart from correcting errors and rewriting several sections, material has been added, notably in Chapter 1 and Chapter 4. A noteworthy addition is a re- variable computation of the radius of convergence of the Bernoulli series using the root test (Chapter 5). What follows is the preface from the ?rst edition. For undergraduate students, the transition from calculus to analysis is often disorienting and mysterious. What happened to the beautiful calculus formulas?Wheredid -? andopensetscomefrom?Itisnotuntillaterthatone integrates these seemingly distinct points of view. When teaching “advanced calculus”, I always had a di?cult time answering these questions. Now,everymathematicianknowsthatanalysisarosenaturallyintheni- teenthcenturyoutofthecalculusoftheprevioustwocenturies.Believingthat it was possible to write a book re?ecting, explicitly, this organic growth, I set outtodoso. I chose several of the jewels of classical eighteenth and nineteenth century analysisandinsertedthemattheendofthebook,insertedtheaxiomsforreals at the beginning, and ?lled in the middle with (and only with) the material necessaryforcla |
| 出版日期 | Textbook 20072nd edition |
| 关键词 | calculus; convergence; differential equation; integral; integration; real number |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-0-387-69316-3 |
| isbn_ebook | 978-0-387-69316-3Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer-Verlag New York 2007 |
|Archiver|手机版|小黑屋|
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