Ebook Calculus on Normed Vector Spaces (Universitext)

Ebook Calculus on Normed Vector Spaces (Universitext)

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Calculus on Normed Vector Spaces (Universitext)

Ebook Calculus on Normed Vector Spaces (Universitext)

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Review

From the reviews:“Coleman (Laboratoire Jean Kuntzmann, France) generalizes the standard theorems of this subject to an arbitrary, hence possibly infinite, dimensional normed vector space, including the special cases of Banach spaces and Hilbert spaces. … Best suited for advanced undergraduate or graduate students, the text delivers the level of rigor and mathematical sophistication that one in the discipline expects from a volume published by Springer. Summing Up: Recommended. Upper-division undergraduates, graduate students, and researchers/faculty.” (D. S. Larson, Choice, Vol. 50 (10), June, 2013)“It covers all topics of classical calculus in the broad setting of real normed spaces. … The style used in giving a complete overview of all these topics of differential calculus is a really nice one, introducing concepts whenever they are needed … . Each chapter contains a variety of interesting exercises which help to complement the material being studied. Therefore, to finish, I highly recommend this book to teachers and researchers on the subject.” (Jesús Ferrer, Mathematical Reviews, March, 2013)

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From the Back Cover

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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Product details

Series: Universitext

Paperback: 264 pages

Publisher: Springer; 2012 edition (July 24, 2012)

Language: English

ISBN-10: 9781461438939

ISBN-13: 978-1461438939

ASIN: 1461438934

Product Dimensions:

6.1 x 0.6 x 9.2 inches

Shipping Weight: 13.6 ounces (View shipping rates and policies)

Average Customer Review:

4.0 out of 5 stars

1 customer review

Amazon Best Sellers Rank:

#3,248,035 in Books (See Top 100 in Books)

This is a more approachable presentation of what Henri Cartan does in his "Differential Calculus", originally in French and now out of print, at least in the English translation. Usually an undergraduate mathematics student takes a multivariable calculus course and then, either as an undergraduate or graduate student, learns smooth manifolds modelled on n-dimensional Euclidean space. This amounts to dropping the hypothesis of the space being linear (at each point the tangent space is linear, but the space itself is now not demanded to be a linear space), but keeping the condition of working with n-dimensional Euclidean space. In fact I think it is useful between a multivariable calculus course and a smooth manifolds course to learn what is done in this book and Cartan, calculus done in a way that works with any normed space rather than finite dimensional linear spaces. Things that are identified when working in n-dimensional Euclidean space are thus seen to be objects that are related but not identical, like the gradient and the derivative. This is also the right language to understand the Hessian. Things like the Fréchet derivative and the Gâteaux derivative are not esoteric and should feel natural to work with, and they are a systematic way of doing the calculus of variations. Coleman has chapters on flows of vector fields, a hugely useful topic, and a chapter on the calculus of variations done using differential calculus in Banach spaces.

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Calculus on Normed Vector Spaces (Universitext) PDF

Calculus on Normed Vector Spaces (Universitext) PDF

Calculus on Normed Vector Spaces (Universitext) PDF

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Get Free Ebook Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer

Get Free Ebook Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer

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Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer

Get Free Ebook Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer

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Product details

Paperback: 116 pages

Publisher: CreateSpace Independent Publishing Platform (May 23, 2017)

Language: English

ISBN-10: 1546877274

ISBN-13: 978-1546877271

Product Dimensions:

8.5 x 0.3 x 11 inches

Shipping Weight: 12.8 ounces (View shipping rates and policies)

Average Customer Review:

3.9 out of 5 stars

31 customer reviews

Amazon Best Sellers Rank:

#41,520 in Books (See Top 100 in Books)

You get what you pay for! I use it but it doesn't really represent the color. The pages are child coloring book quality with black on the back side of the paper. The black distorts the color and markers bleed through the horrible paper quality.

I gave the book 3 stars because the paper is yellowish. Not good for color charts at all. I use it for recording the color combinations that work for me and color combinations from the tutorials.

It's ok. Wish there were more boxes to color and less lines to write on... many even varying size boxes

As mentioned in other reviews, the paper is backed in black, so it has a tinge to the white on the front. While the markers looked more "normal" after they had plenty of time to dry, the colors still don't look like they do on double-sided white. Since the d-sided white will be what I print the coloring pages on, I won't rely on the book. I'll probably still use the book to help organize color groups, I'll ultimately trust the colors swathed on the paper I'll be coloring on.

Very disappointing. The paper is cheap and each page was printed with a black backend. As a result it denatures the color of the swatch. I would have done better to use white printer paper stored in a binder.. which is what I now started to do with better showing of colors! And you can’t use it for markers like prisma premier or Copic because the cheap paper drinks too much of the ink so you can’t show the blending. At the end of the book are 5 drawings to color but it would not occur to me to use them directly still because of the black backing and the cheap paper. It’s just not worth the money

What a brilliant idea! I have hundreds of coloring tools, gel pens, colored pencils etc... And this is a great way to create reference for them. Jade Summer did it again! Such a talented lady!

So glad i purchased this. All pages are large (8.5 x 11) with 28 squared boxes to put your color sample on. The back of each page is blackened. Overall good book would recommend..

I bought this book to get a better idea of how my pencils and markers would look on Amazon/Createspace paper. I've found it's a very handy book for organizing my supplies. I also appreciated the extra pages with pictures to color

Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer PDF
Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer EPub
Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer Doc
Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer iBooks
Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer rtf
Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer Mobipocket
Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer Kindle

Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer PDF

Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer PDF

Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer PDF

Color Charts: 50+ Coloring Charts to Organize Your Color Schemes, Test Your Supplies Before You Color, and Find the Perfect Colors for Every Project!, by Jade Summer PDF

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