Calculus on Normed Vector Spaces

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Applied
Cover of the book Calculus on Normed Vector Spaces by Rodney Coleman, Springer New York
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Author: Rodney Coleman ISBN: 9781461438946
Publisher: Springer New York Publication: July 25, 2012
Imprint: Springer Language: English
Author: Rodney Coleman
ISBN: 9781461438946
Publisher: Springer New York
Publication: July 25, 2012
Imprint: Springer
Language: English

This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary.

In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts.  The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.

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This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary.

In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts.  The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.

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