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Analysis I: Convergence, Elementary functions (Universitext) Softcover reprint of the original 1st ed. 2004 Edition

3.0 out of 5 stars 2 customer reviews
ISBN-13: 978-3540059233
ISBN-10: 3540059237
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Editorial Reviews

Review

From the reviews of the original French edition:

"... The content is quite classical ... [...] The treatment is less classical: precise although unpedantic (rather far from the definition-theorem-corollary-style), it contains many interesting commentaries of epistemological, pedagogical, historical and even political nature. [...] The author gives frequent interesting hints on recent developments of mathematics connected to the concepts which are introduced. The Introduction also contains comments that are very unusual in a book on mathematical analysis, going from pedagogy to critique of the French scientific-military-industrial complex, but the sequence of ideas is introduced in such a way that readers are less surprised than they might be.
J. Mawhin in Zentralblatt Mathematik (1999)

From the reviews:

"Analysis I is the translation of the first volume of Godement’s four-volume work Analyse Mathématique, which offers a development of analysis more or less from the beginning up to some rather advanced topics. … the organization of the material is radically different … . It would … make excellent supplementary reading for honors calculus courses." (Gerald B. Folland, SIAM Review, Vol. 47 (3), 2005)

"A book on analysis that is quite different from all other books on this subject. … for those who essentially know the material (the level of an average graduate student, say), and who are interested in mathematics will certainly love reading it. Those who lecture this material may find a lot of inspiration to make their lessons entertaining." (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, Vol. 12 (2), 2005)

"Analysis I is an English translation of the first volume of a four-volume work. Analysis I consists of a spirally organized, organic, non-linear treatment of the introductory areas of ‘mathematical analysis as it was and as it has become’. It is infused with some excellent, sensitive appreciations of the work of pioneers … and reads as a heady blend of both classical concerns and modern refinements, often illuminated by a variety of approaches." (Nick Lord, The Mathematical Gazette, March, 2005)

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Product Details

  • Series: Universitext
  • Paperback: 430 pages
  • Publisher: Springer; Softcover reprint of the original 1st ed. 2004 edition (June 13, 2008)
  • Language: English
  • ISBN-10: 3540059237
  • ISBN-13: 978-3540059233
  • Product Dimensions: 6.1 x 1 x 9.2 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #2,982,978 in Books (See Top 100 in Books)

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Godement is a noted French mathematician who "personalizes" his approach to mathematical analysis. In both Volumes I & II the formal expository style so common to mathematical texts containing advanced material is for the most part absent. Generally the author organizes his discussions in a section around a related group of ideas and mathematical structures, such as an introduction to set theory, and attempts to give a self-contained account of the topics he chooses to cover. The style is informal, but the author does address key points in depth and with enough rigour that the reader who expects to grasp the material will have to be comfortable with mathematics as taught in a 2nd year honors course or 3rd year course of analysis taken by a math or science major at the undergraduate collegiate level. The author will often introduce historical asides or personal views which generally are an entertaining complement to the material under discussion. At its best the author's approach results in inspiring and insightful reading, while at its worst it can seem disjointed and rambling. Fortunately, the positives far outweigh the negatives in most sections. "Entertaining" is not generally used to describe mathematical exposition on topics at this level, but Godement's idiosyncractic style makes it seem appropriate. Volume I covers a variety of topics that would be included in the typical "Introductory Real Analysis" course while Volume II covers a variety of more advanced mathematical analysis topics that would be covered in courses like "Complex Analysis" or "Theory of Integration". Unfortunately, the other two volumes in this series of books have never been translated into English from their original French versions(Godement is a Professor of Mathematics at the University of Paris).Read more ›
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Format: Paperback Verified Purchase
Not suitable for self-study. Maybe of interest to those who want to know more about Roger Godemont's way of thinkig. The book is quirky. with idiosyncratic asides, some about the history, and others more like personal rants on politics. In the end the mathematical exposition is terse since so much verbiage is tangential. I regret having bought this book.
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