Ebook Download Introduction To Hilbert Space, by Sterling Khazag Berberian
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Introduction To Hilbert Space, by Sterling Khazag Berberian
Ebook Download Introduction To Hilbert Space, by Sterling Khazag Berberian
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From the Preface: "This textbook has evolved from a set of lecture notes ... In both the course and the book, I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics ... It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) and greatest lower bound (GLB), the concept of function, $\epsilon$'s and their companion $\delta$'s, and basic properties of sequences of real and complex numbers (convergence, Cauchy's criterion, the Weierstrass-Bolzano theorem). It is not presupposed that the reader is acquainted with vector spaces ... , matrices ... , or determinants ... There are over four hundred exercises, most of them easy ... It is my hope that this book, aside from being an exposition of certain basic material on Hilbert space, may also serve as an introduction to other areas of functional analysis."
- Sales Rank: #6120694 in Books
- Published on: 2012-06-30
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x .46" w x 5.98" l, .66 pounds
- Binding: Paperback
- 218 pages
Most helpful customer reviews
20 of 20 people found the following review helpful.
Missed for a long time - now available again!
By Carl Winslow
This classic, now available in an updated edition, has been missed on the market for a long time. At the Royal Danish School of Educational Studies, we use it as an exemplary introduction to a field of higher mathematics which is more alive than anytime, and which can still be read with very modest prerequisites (complex numbers and rigorous calculus). It covers abstract vector spaces, inner product spaces, and - of course - the basics of Hilbert space theory and operators on Hilbert Space. The text is very well suited for beginners, with ample explanations and many exercises (most of them easy, but some are quite challenging for students having their first encounter with abstract mathematics).
3 of 4 people found the following review helpful.
Excellent Introduction to Hilbert Spaces!
By Tim Fortune
Berberian has about eight or so key examples that he uses throughout the book, and he uses them in a tactical way to introduce each new concept. Before you even realize it, you'll have a functional understanding of Hilbert spaces. I'd recommend this textbook to anyone interested in learning about them. An understanding of some of the basic concepts of analysis and a familiarity with vector spaces is helpful.
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