![]() 作者:S.lang 出版社: 世界图书出版公司 出版年: 2006-2 页数: 642 定价: 76.00元 装帧: 简裝本 ISBN: 9787506272643 内容简介 · · · · · ·本书作者是当代数学大师,这本教材的蓝本从1968年开始使用,先后两次改版,重印四次,非常适合学过微积分的高校数学系本科生使用。本书重点论述一致收敛、一到极限,以及在积分或微分情况下普遍的一致性等理论。 此书为英文版! 作者简介 · · · · · ·Serge Lang (May 19, 1927–September 12, 2005) was a French-born American mathematician. He was known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was a member of the Bourbaki group. He was born in Paris in 1927, and moved with his family to California as a teenager. He graduated from CalTech in 1946, and received a doc... 目录 · · · · · ·foreword to the first editionforeword to the second edition part one review of calculus chapter 0 sets and mappings chapter ⅰ real numbers chapter ⅱ limits and continuous functions · · · · · ·() foreword to the first edition foreword to the second edition part one review of calculus chapter 0 sets and mappings chapter ⅰ real numbers chapter ⅱ limits and continuous functions chapter ⅲ differentlation chapter ⅳ elementary functions chapter ⅴ the elementary real integral part tow convergence chapter ⅵ normed vector spaces chapter ⅶ limits chapter ⅷ compactness chapter ⅸ serles chapter ⅹ the integral in one varlable part three applications of the integral chapter ? approximation with convolutions chapter ? fourier series chapter xiii improper integrals chapter xiv the fourler integral .part four calculus in vector spaces chapter xv functions on n-space chapter xvi the winding number and global potential functions chapter xvii derivatives in vector spaces chapter aviii inverse mapping theorem chapter xix ordinary differential equations part five multiple integration chapter xx multlple integrals chapter xxi differential forms appendix index · · · · · · () |
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