Perturbation Theory For Linear Operators

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Amazon Books

Here the best 10 books from Amazon related to the term perturbation theory for linear operators:

Perturbation Theory for Linear Operators (Classics in Mathematics)
Perturbation Theory for Linear Operators (Classics in Mathematics)

By: Tosio Kato.

From the reviews: "[…] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory. […] I can recommend it for any mathematician or physicist interested in this field." Zentralblatt MATH
Book Title: Perturbation Theory for Linear Operators (Classics in Mathematics). Author: Tosio Kato. Publisher: Springer. Published: 1995-02-15. ASIN: 354058661X. ISBN: 354058661X. EAN: 9783540586616. Binding: Paperback. Price: $69.95
The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Classics in Mathematics) (Pt.1)
The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Classics in Mathematics) (Pt.1)

By: Lars Hörmander.

Vol. 1 of Lars Hormander's influential 4-volume treatise is a detailed exposition of the theory of distributions.From the reviews: "In order to illustrate the richness of the book: in my review of the 1983 edition [...] I gave a list of 20 subjects which were new compared to Hormander's book of 1963. Most of these subjects concern important, basic and highly nontrivial theorems in analysis. Hormander's treatment of these is extremely clear and efficient and often highly original. [...] Most of the exercises are witty, with an interesting point. The phrasing of both the exercises and the answers and hints is very careful [...] In all, the book can be highly recommended, both as a textbook for advanced students, and as background and reference for introductory courses on distributions and Fourier analysis."J.J. Duistermaat in Mededelingen van het Wiskundig Genootschap
Book Title: The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis (Classics in Mathematics) (Pt.1). Author: Lars Hörmander. Publisher: Springer. Published: 2003-08-13. ASIN: 3540006621. ISBN: 3540006621. EAN: 9783540006626. Binding: Paperback. Price: $69.95
Operator Functions and Localization of Spectra (Lecture Notes in Mathematics)
Operator Functions and Localization of Spectra (Lecture Notes in Mathematics)

By: Michael I. Gil.

Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.
Book Title: Operator Functions and Localization of Spectra (Lecture Notes in Mathematics). Author: Michael I. Gil. Publisher: Springer. Published: 2004-01-22. ASIN: 3540202463. ISBN: 3540202463. EAN: 9783540202462. Binding: Paperback. Price: $69.95
A Short Introduction to Perturbation Theory for Linear Operators
A Short Introduction to Perturbation Theory for Linear Operators

By: Tosio Kato.

Book Title: A Short Introduction to Perturbation Theory for Linear Operators. Author: Tosio Kato. Publisher: Springer. Published: 1982-11-04. ASIN: 0387906665. ISBN: 0387906665. EAN: 9780387906669. Binding: Hardcover. Price: $45.00
Numerical Linear Algebra
Numerical Linear Algebra

By: Lloyd N. Trefethen, David Bau III.

This is a concise, insightful introduction to the field of numerical linear algebra. The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

Contents: Preface; Acknowledgments; Part I: Fundamentals. Lecture 1: Matrix-Vector Multiplication; Lecture 2: Orthogonal Vectors and Matrices; Lecture 3: Norms; Lecture 4: The Singular Value Decomposition; Lecture 5: More on the SVD; Part II: QR Factorization and Least Squares. Lecture 6: Projectors; Lecture 7: QR Factorization; Lecture 8: Gram-Schmidt Orthogonalization; Lecture 9: MATLAB; Lecture 10: Householder Triangularization; Lecture 11: Least Squares Problems; Part III: Conditioning and Stability. Lecture 12: Conditioning and Condition Numbers; Lecture 13: Floating Point Arithmetic; Lecture 14: Stability; Lecture 15: More on Stability; Lecture 16: Stability of Householder Triangularization; Lecture 17: Stability of Back Substitution; Lecture 18: Conditioning of Least Squares Problems; Lecture 19: Stability of Least Squares Algorithms; Part IV: Systems of Equations. Lecture 20: Gaussian Elimination; Lecture 21: Pivoting; Lecture 22: Stability of Gaussian Elimination; Lecture 23: Cholesky Factorization; Part V: Eigenvalues. Lecture 24: Eigenvalue Problems; Lecture 25: Overview of Eigenvalue Algorithms; Lecture 26: Reduction to Hessenberg or Tridiagonal Form; Lecture 27: Rayleigh Quotient, Inverse Iteration; Lecture 28: QR Algorithm without Shifts; Lecture 29: QR Algorithm with Shifts; Lecture 30: Other Eigenvalue Algorithms; Lecture 31: Computing the SVD; Part VI: Iterative Methods. Lecture 32: Overview of Iterative Methods; Lecture 33: The Arnoldi Iteration; Lecture 34: How Arnoldi Locates Eigenvalues; Lecture 35: GMRES; Lecture 36: The Lanczos Iteration; Lecture 37: From Lanczos to Gauss Quadrature; Lecture 38: Conjugate Gradients; Lecture 39: Biorthogonalization Methods; Lecture 40: Preconditioning; Appendix: The Definition of Numerical Analysis; Notes; Bibliography; Index.

Audience: Written on the graduate or advanced undergraduate level, this book can be used widely for teaching. Professors looking for an elegant presentation of the topic will find it an excellent teaching tool for a one-semester graduate or advanced undergraduate course. A major contribution to the applied mathematics literature, most researchers in the field will consider it a necessary addition to their personal collections.

Book Title: Numerical Linear Algebra. Author: Lloyd N. Trefethen, David Bau III. Publisher: SIAM: Society for Industrial and Applied Mathematics. Published: 1997-06-01. ASIN: 0898713617. ISBN: 0898713617. EAN: 9780898713619. Binding: Paperback. Price: $63.00
Introduction to Perturbation Methods
Introduction to Perturbation Methods

By: Mark H. Holmes.

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.
Book Title: Introduction to Perturbation Methods. Author: Mark H. Holmes. Publisher: Springer. Published: 1995-06-23. ASIN: 0387942033. ISBN: 0387942033. EAN: 9780387942032. Binding: Hardcover. Price: $109.00
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)

By: Nicholas J. Higham.

The only book devoted exclusively to matrix functions, this research monograph gives a thorough treatment of the theory of matrix functions and numerical methods for computing them. The author s elegant presentation focuses on the equivalent definitions of f(A) via the Jordan canonical form, polynomial interpolation, and the Cauchy integral formula, and features an emphasis on results of practical interest and an extensive collection of problems and solutions. Functions of Matrices: Theory and Computation is more than just a monograph on matrix functions; its wide-ranging content including an overview of applications, historical references, and miscellaneous results, tricks, and techniques with an f(A) connection makes it useful as a general reference in numerical linear algebra. Other key features of the book include development of the theory of conditioning and properties of the Fréchet derivative; an emphasis on the Schur decomposition, the block Parlett recurrence, and judicious use of Padé approximants; the inclusion of new, unpublished research results and improved algorithms; a chapter devoted to the f(A)b problem; and a MATLAB® toolbox providing implementations of the key algorithms.

Audience: This book is for specialists in numerical analysis and applied linear algebra as well as anyone wishing to learn about the theory of matrix functions and state of the art methods for computing them. It can be used for a graduate-level course on functions of matrices and is a suitable reference for an advanced course on applied or numerical linear algebra. It is also particularly well suited for self-study.

Contents: List of Figures; List of Tables; Preface; Chapter 1: Theory of Matrix Functions; Chapter 2: Applications; Chapter 3: Conditioning; Chapter 4: Techniques for General Functions; Chapter 5: Matrix Sign Function; Chapter 6: Matrix Square Root; Chapter 7: Matrix pth Root; Chapter 8: The Polar Decomposition; Chapter 9: Schur-Parlett Algorithm; Chapter 10: Matrix Exponential; Chapter 11: Matrix Logarithm; Chapter 12: Matrix Cosine and Sine; Chapter 13: Function of Matrix Times Vector: f(A)b; Chapter 14: Miscellany; Appendix A: Notation; Appendix B: Background: Definitions and Useful Facts; Appendix C: Operation Counts; Appendix D: Matrix Function Toolbox; Appendix E: Solutions to Problems; Bibliography; Index.

Book Title: Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics). Author: Nicholas J. Higham. Publisher: Society for Industrial & Applied Mathematics,U.S.. Published: 2008-03-26. ASIN: 0898716462. ISBN: 0898716462. EAN: 9780898716467. Binding: Hardcover. Price: $61.50
Adiabatic Perturbation Theory in Quantum Dynamics (Lecture Notes in Mathematics)
Adiabatic Perturbation Theory in Quantum Dynamics (Lecture Notes in Mathematics)

By: Stefan Teufel.

Focuses on a recent approach to adiabatic perturbation theory, which emphasizes the role of effective equations of motion and the separation of the adiabatic limit from the semiclassical limit. A detailed introduction gives an overview of the subject and makes the later chapters accessible also to readers less familiar with the material. Although the general mathematical theory based on pseudodifferential calculus is presented in detail, there is an emphasis on concrete and relevant examples from physics. Applications range from molecular dynamics to the dynamics of electrons in a crystal and from the quantum mechanics of partially confined systems to Dirac particles and nonrelativistic QED.
Book Title: Adiabatic Perturbation Theory in Quantum Dynamics (Lecture Notes in Mathematics). Author: Stefan Teufel. Publisher: Springer. Published: 2003-11-05. ASIN: 3540407235. ISBN: 3540407235. EAN: 9783540407232. Binding: Paperback. Price: $69.95
Complete second order linear differential equations in Hilbert spaces (Operator Theory: Advances and Applications)
Complete second order linear differential equations in Hilbert spaces (Operator Theory: Advances and Applications)

By: Alexander Ya. Shklyar.

Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis. This monograph is an attempt to present a unified systematic theory of second order equations y" (t) + Ay' (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems. Exhaustive yet clear answers to all posed questions are given. Special emphasis is placed on new surprising effects arising for complete second order equations which do not take place for first order and incomplete second order equations. For this purpose, some new results in the spectral theory of pairs of operators and the boundary behavior of integral transforms have been developed. The book serves as a self-contained introductory course and a reference book on this subject for undergraduate and post- graduate students and research mathematicians in analysis. Moreover, users will welcome having a comprehensive study of the equations at hand, and it gives insight into the theory of complete second order linear differential equations in a general context - a theory which is far from being fully understood.
Book Title: Complete second order linear differential equations in Hilbert spaces (Operator Theory: Advances and Applications). Author: Alexander Ya. Shklyar. Publisher: Birkhäuser Basel. Published: 1997-03-21. ASIN: 3764353775. ISBN: 3764353775. EAN: 9783764353773. Binding: Hardcover. Price: $179.00
Matrices: Theory and Applications (Graduate Texts in Mathematics)
Matrices: Theory and Applications (Graduate Texts in Mathematics)

By: Denis Serre.

In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon.
Book Title: Matrices: Theory and Applications (Graduate Texts in Mathematics). Author: Denis Serre. Publisher: Springer. Published: 2010-11-02. ASIN: 1441976825. ISBN: 1441976825. EAN: 9781441976826. Binding: Hardcover. Price: $74.95

YouTube Videos

Here 8 videos from YouTube that best match with the term perturbation theory for linear operators:

Long Tall Ernie & The Shakers - Operator, operator 1976
Long Tall Ernie & The Shakers - Operator, operator 1976
Long Tall Ernie + The Shakers - Operator, operator 1976
Video Title: Long Tall Ernie & The Shakers - Operator, operator 1976. Length: 7:02:51. View: 34513
29. Preparing Single Enantiomers and the Mechanism of Optical Rotation
29. Preparing Single Enantiomers and the Mechanism of Optical Rotation
Freshman Organic Chemistry (CHEM 125) Within a lecture on biological resolution, the synthesis of single enantiomers, and the naming and 3D visualization of omeprazole, Professor Laurence Barron of the University of Glasgow delivers a guest lecture on the subject of how chiral molecules rotate polarized light. Mixing wave functions by coordinated application of light's perpendicular electric and magnetic fields shifts electrons along a helix that can be right- or left-handed, but so many mixings are involved, and their magnitudes are so subtle, that predicting net optical rotation in practical cases is rarely simple. 00:00 - Chapter 1. Introduction: Challenges in Isolating Enantiomers Despite Optical Activity 06:09 - Chapter 2. Barron: A Sketch of Lord Kelvin and Chirality 12:35 - Chapter 3. Natural and Magnetic Optical Rotation 20:49 - Chapter 4. Understanding Optical Activity via the Carbonyl Chromophore 37:22 - Chapter 5. Who Cares? Chiral Switches in Life and Drugs Complete course materials are available at the Open Yale Courses website: open.yale.edu This course was recorded in Fall 2008.
Video Title: 29. Preparing Single Enantiomers and the Mechanism of Optical Rotation. Length: 7:50:19. View: 3050
Lecture 7A | MIT 6.001 Structure and Interpretation, 1986
Lecture 7A | MIT 6.001 Structure and Interpretation, 1986
Metacircular Evaluator, Part 1 Despite the copyright notice on the screen, this course is now offered under a Creative Commons license: BY-NC-SA. Details at ocw.mit.edu Subtitles for this course are provided through the generous assistance of Henry Baker, Hoofar Pourzand, Heather Wood, Aleksejs Truhans, Steven Edwards, George Menhorn, and Mahendra Kumar.
Video Title: Lecture 7A | MIT 6.001 Structure and Interpretation, 1986. Length: 8:24:38. View: 8255
Lecture - 1 Introduction to Quantum Physics;Heisenberg''s uncertainty principle
Lecture - 1 Introduction to Quantum Physics;Heisenberg''s uncertainty principle
Lecture Series on Quantum Physics by Prof.V.Balakrishnan, Department of Physics, IIT Madras. For more details on NPTEL visit nptel.iitm.ac.in
Video Title: Lecture - 1 Introduction to Quantum Physics;Heisenberg''s uncertainty principle. Length: 8:00:56. View: 336114
Chapter 17 - Triplanetary by EE Smith
Chapter 17 - Triplanetary by EE Smith
Book 3: Triplanetary - Chapter 17: Roger Carries On. Classic Literature VideoBook with synchronized text, interactive transcript, and closed captions in multiple languages. Audio courtesy of Librivox. Read by Phil Chenevert. Playlist for Triplanetary by EE Smith: www.youtube.com
Video Title: Chapter 17 - Triplanetary by EE Smith. Length: 7:46:07. View: 6608
Lec 1 | MIT 18.03 Differential Equations, Spring 2006
Lec 1 | MIT 18.03 Differential Equations, Spring 2006
The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
Video Title: Lec 1 | MIT 18.03 Differential Equations, Spring 2006. Length: 7:48:55. View: 422465
Part 4 - Triplanetary by EE Smith (Chs 13-17)
Part 4 - Triplanetary by EE Smith (Chs 13-17)
Part 4 (Chs 13-17). Classic Literature VideoBook with synchronized text, interactive transcript, and closed captions in multiple languages. Audio courtesy of Librivox. Read by Phil Chenevert. Playlist for Triplanetary by EE Smith: www.youtube.com
Video Title: Part 4 - Triplanetary by EE Smith (Chs 13-17). Length: 9:19:29. View: 55134
Tanya Roberts Outrageous Love & Friendship Sam Botta-Live Fearless-Chris Shining,Executive Producer
Tanya Roberts Outrageous Love & Friendship Sam Botta-Live Fearless-Chris Shining,Executive Producer
Her husband of 25 years had died from illness, she was there for him and has overcome the grief and built a new life. Sam Botta: I asked you the secret of lifetime love (two years before)... And you said your man at the time adores you... Tanya Roberts: My man died 18 months ago after 25 years of a beautiful marriage, I grew up with him, and he did adore me, I adored him, and that's what happens, I'm lucky to have had 25 years of outrageous love and friendship. SB: How did you get through the pain? TR: If I didn't pull myself together I wouldn't have been able to keep him alive and take care of him, that's what you do. It's Nothing heroic you just do it. You don't want to see the one you love totally screwed up.. and you manage. I love you. www.imdb.me/livefearless IMDB.COM: www.imdb.com Tanya Roberts came from modest beginnings in the Bronx, New York, the daughter of a pen salesman (Irish) and a mother (Jewish) who were divorced before she reached high school. Tanya dropped out of high school at age 15, got married and hitchhiked around the country until her mother-in-law had the marriage annulled. She met psychology student Barry Roberts in New York while waiting in line to see a movie. A few months later, she proposed to him in a subway station, and they were married. .. Beautiful love story. Secretly hope. Live life with the kind of love that lasts. The memories, the hopes, the dreams. Never forgetting, especially On a sad day when we've lost a life-altering talent ...
Video Title: Tanya Roberts Outrageous Love & Friendship Sam Botta-Live Fearless-Chris Shining,Executive Producer. Length: 7:00:54. View: 2050346

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