发帖
雷达卡
mathematical analysis II.pdf
(5.96 MB, 需要: 5 个论坛币)
Mathematical Analysis II Zorich 高清英文版 非扫描
Science has not stood still in the years since the first English edition of this book
was published. For example, Fermat’s last theorem has been proved, the Poincaré
conjecture is now a theorem, and the Higgs boson has been discovered. Other events
in science, while not directly related to the contents of a textbook in classical mathematical
analysis, have indirectly led the author to learn something new, to think
over something familiar, or to extend his knowledge and understanding. All of this
additional knowledge and understanding end up being useful even when one speaks
about something apparently completely unrelated.1
In addition to the original Russian edition, the book has been published in English,
German, and Chinese. Various attentive multilingual readers have detected
many errors in the text. Luckily, these are local errors, mostly misprints. They have
assuredly all been corrected in this new edition.
But the main difference between the second and first English editions is the addition
of a series of appendices to each volume. There are six of them in the first and
five of them in the second. So as not to disturb the original text, they are placed at the
end of each volume. The subjects of the appendices are diverse. They are meant to be
useful to students (in mathematics and physics) as well as to teachers, who may be
motivated by different goals. Some of the appendices are surveys, both prospective
and retrospective. The final survey contains the most important conceptual achievements
of the whole course, which establish connections between analysis and other
parts of mathematics as a whole.
I was happy to learn that this book has proven to be useful, to some extent, not
only to mathematicians, but also to physicists, and even to engineers from technical
schools that promote a deeper study of mathematics.
It is a real pleasure to see a new generation that thinks bigger, understands more
deeply, and is able to do more than the generation on whose shoulders it grew.
Moscow, Russia V. Zorich
2015
京公网安备 11010802022788号
