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Editorial Reviews
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"...presents a very clear and elegant exposition of the basic notions of the theory of Hilbert space...It is beautiful and relatively recent mathematics..." Mathematical Reviews
Product Description
This textbook is an introduction to the theory of Hilbert spaces and its applications. The notion of a Hilbert space is a central idea in functional analysis and can be used in numerous branches of pure and applied mathematics. Dr. Young stresses these applications particularly for the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. The book is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). The book will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.
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"...presents a very clear and elegant exposition of the basic notions of the theory of Hilbert space...It is beautiful and relatively recent mathematics..." Mathematical Reviews
Product Description
This textbook is an introduction to the theory of Hilbert spaces and its applications. The notion of a Hilbert space is a central idea in functional analysis and can be used in numerous branches of pure and applied mathematics. Dr. Young stresses these applications particularly for the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. The book is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). The book will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.
See all Editorial Reviews
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Inside This Book
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First Sentence:
Some important metric notions such as length, angle and the energy of physical systems can be expressed in terms of the inner product (x,y) of vectors x, yEC. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
inner denominator, complete orthonormal sequence, maximizing vector, bounded analytic functions, finite rank operators, closed linear span, spectral theorem, inner product space, polarization identity, normed space, operator norm, orthonormal sequences Key Phrases - Capitalized Phrases (CAPs): (learn more)
Definition Let, Exercise Let, Exercise Show, Lemma Let, Exercise Prove, Corollary Let, Example Let, Hilbert's Hankel, Theorem Suppose New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Some important metric notions such as length, angle and the energy of physical systems can be expressed in terms of the inner product (x,y) of vectors x, yEC. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
inner denominator, complete orthonormal sequence, maximizing vector, bounded analytic functions, finite rank operators, closed linear span, spectral theorem, inner product space, polarization identity, normed space, operator norm, orthonormal sequences Key Phrases - Capitalized Phrases (CAPs): (learn more)
Definition Let, Exercise Let, Exercise Show, Lemma Let, Exercise Prove, Corollary Let, Example Let, Hilbert's Hankel, Theorem Suppose New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 8
books:
See all 8 books this book cites
39
books
cite this book:
See all 39 books citing this book
- A Treatise on the Theory of Bessel Functions (Cambridge Mathematical Library) by G. N. Watson in Back Matter
- Real and Complex Analysis (International Series in Pure and Applied Mathematics) by Walter Rudin in Back Matter
- Measure Theory And Integration by Gar de Barra in Back Matter
- Functional Analysis by Frigyes Riesz on page 110
- Linear Operators. Part I: General Theory (v. 1) by Nelson James Dunford in Back Matter
See all 8 books this book cites
- Exercises in Fourier Analysis by T. W. Körner on page 162, and Back Matter
- Signal Analysis: Time, Frequency, Scale, and Structure by Ronald L. Allen on page 170, and page 262
- Exercises in Fourier Analysis by T. W. Körner on page 162, and Back Matter
- Foundations of Time Series Analysis and Prediction Theory (Wiley Series in Probability and Statistics) by Mohsen Pourahmadi in Back Matter
- Operator Theory for Electromagnetics by George W. Hanson on page 289
See all 39 books citing this book
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75% buy the item featured on this page: An Introduction to Hilbert Space $54.00 |
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9% buy A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way $79.96 |
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6% buy Principles of Mathematical Analysis, Third Edition $153.40 |
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5% buy Introduction to Hilbert Spaces with Applications |
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