Download Citation on ResearchGate | Elementary functional analysis / Georgi E. Shilov | Incluye bibliografía e índice }. Elementary Functional Analysis by Georgi E. Shilov, , available at Book Depository with free delivery worldwide. Elementary Functional Analysis (Dover Books on Mathematics) by Georgi E. Shilov at – ISBN – ISBN
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Soviet mathematician Georgi E. Shilov was a longtime Professor of Mathematics at Moscow State University and the author of several other successful Dover reprints. Would you like to tell us about a lower price? If you are a seller for this product, e.hsilov you like to suggest updates through seller support?
In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: The standard models for all these spaces are sets of functions hence the term elenentary analysis”rather than sets of points in a finite-dimensional space.
Chapter 2 is devoted to differential equations, and contains the basic theorems on existence and uniqueness of solutions of ordinary differential equations for functions taking values in a Banach space. The solution of the linear equation with constant operator coefficients is runctional in general form in terms of the exponential of the operator.
This leads, in the finite-dimensional case, to explicit formulas not only for the solutions of first-order equations, but also to the solutions of higher-order equations and systems of equations. The third chapter presents a theory of curvature for curve in a multidimensional space.
The final two chapters essentially comprise an introduction to Fourier analysis. In the treatment analyysis orthogonal expansions, a key role is played by Fourier series and the various kinds of convergence and summability for such series.
Functionl material on Fourier transforms, in addition to presenting the more elemeentary theory, also deals with problems in the complex domain, in particular with problems involving the Laplace transform.
Designed for students at the upper-undergraduate or graduate level, the text includes a set of problems for each chapter, with hints and answers at the end of the book. Read more Read less. Discover Prime Book Box for Kids.
Elementary Functional Analysis
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Page 1 of 1 Start over Page 1 of 1. Linear Algebra Dover Books on Mathematics. An Introduction to the Theory of Linear Spaces. Functional Analysis Dover Books on Mathematics. English translation Original Language: Dover Books on Mathematics Paperback: Dover Publications; 2nd edition January 18, Language: Don’t have a Kindle? Analysix the Kindle edition and experience these great reading features: Share your thoughts with other customers.
Write a customer review. Showing of 6 reviews. Top Reviews Most recent Top Reviews. There was a problem filtering reviews right now. Please try again later. Elementary Functional Goergi by Georgi E. Shilov is suitable for a beginning course in functional analysis and some of its applications, e.
Rudin’s book is entitled “Functional Analysis” not in the Dover series and it is my favorite. Rudin’s book is of newer vintage, and it goes more in depth, and includes new material on unbounded operators in Hilbert space. Edwards’ book “Functional Analysis: Theory and Applications;” is in the Dover series, and it is twice wnalysis thick as Shilov’s book. Topics covered in Shilov: It includes many exercises and examples.
Elementary Functional Analysis : Georgi E. Shilov :
Well motivated with applications. Shilov book is gentler on students, and it is probably easier to get started with: It stresses motivation a bit more, the exercises are easier, and finally Shilov includes a few applications; fashionable these days.
And of course, the books in the Dover series are cheap in comparison. Review by Palle Jorgensen, August Author refers to himself a lot, with references to this volume and to a previous volume. If you enjoy searching for section 5. If you don’t have his Volume I, be sure to buy that too because without it you won’t make all the connections.
By analogy, this is written like a web application that has many hyperlink references, some of them to pages that are not accessible. Unlike a web app, you are the search engine. If you have read Shilov’s first volume “Elementary Real and Complex Analysis” or his volume on Linear Algebra, then you can expect more of the same analywis explanation and thoughtful organization of materials.
His proofs are designed georggi help the reader understand material and provide deep insight into the mathematics involved. Amalysis recommended for those who want a consise — but very thorough — introduction to theory behind differential equations and Fourier analysis. Notwithstanding I found this book well written. The proof are intuitive and the style is ‘smooth’, soft; very understandable.
I have not yet read the first volume and his book on linear algebra, but I studied these arguments so, I understood the references to concepts of real analysis for example.
I am regretting that Dover changed the title. With the actual title, it seem a self-contained book. But it is not so. I preferred the original title: Mathematical Analysis 1 and 2.
I enjoyed the last chapters of the book, that are relative to the applications: Also I think that the study of the convergence of Fourier series partially based on the notion of delta-like sequences of functions is very interesting and possibly it enables some generalizations.
However the book is not self-contained because it does very much references to ‘Linear Functoinal and ‘Elementary Real and Complex Analysis’ of the author. This book is well organized, concise, and easy to read.
Overall a very good deal. One person found this helpful. See all 6 reviews. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more about Amazon Giveaway. Set up a giveaway.
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