From Euclidean to Hilbert Spaces is popular PDF and ePub book, written by Edoardo Provenzi in 2021-08-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, From Euclidean to Hilbert Spaces can be Read Online from any device for your convenience.
From Euclidean to Hilbert Spaces Book PDF Summary
From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infinite dimensions, noting the fundamental importance of coherence between the algebraic and topological structure, which makes Hilbert spaces the infinite-dimensional objects most closely related to Euclidian spaces. The common thread of this book is the Fourier transform, which is examined starting from the discrete Fourier transform (DFT), along with its applications in signal and image processing, passing through the Fourier series and finishing with the use of the Fourier transform to solve differential equations. The geometric structure of Hilbert spaces and the most significant properties of bounded linear operators in these spaces are also covered extensively. The theorems are presented with detailed proofs as well as meticulously explained exercises and solutions, with the aim of illustrating the variety of applications of the theoretical results.
Detail Book of From Euclidean to Hilbert Spaces PDF
- Author : Edoardo Provenzi
- Release : 24 August 2021
- Publisher : John Wiley & Sons
- ISBN : 9781786306821
- Genre : Mathematics
- Total Page : 370 pages
- Language : English
- PDF File Size : 7,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book From Euclidean to Hilbert Spaces by Edoardo Provenzi, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.