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100%: Chiappinelli, Raffaele: Differential Equations, Fourier Series, and Hilbert Spaces (eBook, ePUB) (ISBN: 9783111302867) in Englisch, auch als eBook.Nur diese Ausgabe anzeigen…
100%: Raffaele Chiappinelli: Differential Equations Fourier Series and Hilbert Spaces (ISBN: 9783111294858) De Gruyter, in Deutsch, Broschiert.Nur diese Ausgabe anzeigen…
Differential Equations, Fourier Series, and Hilbert Spaces (eBook, ePUB)
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Bester Preis: € 49,95 (vom 28.08.2023)1
Differential Equations, Fourier Series, and Hilbert Spaces (eBook, ePUB)
~EN NW EBISBN: 9783111302867 bzw. 3111302865, vermutlich in Englisch, Gruyter, Walter de GmbH, neu, E-Book.
Lieferung aus: Deutschland, Erscheint vor. 18.09.23, Versandkostenfrei innerhalb von Deutschland.
This book is intended to be used as a rather informal, and surely not complete, textbook on the subjects indicated in the title. It collects my Lecture Notes held during three academic years at the University of Siena for a one semester course on "Basic Mathematical Physics", and is organized as a short presentation of few important points on the arguments indicated in the title. It aims at completing the students' basic knowledge on Ordinary Differential Equations (ODE) - dealing in particular with those of higher order - and at providing an elementary presentation of the Partial Differential Equations (PDE) of Mathematical Physics, by means of the classical methods of separation of variables and Fourier series. For a reasonable and consistent discussion of the latter argument, some elementary results on Hilbert spaces and series expansion in othonormal vectors are treated with some detail in Chapter 2. Prerequisites for a satisfactory reading of the present Notes are not only a course of Calculus for functions of one or several variables, but also a course in Mathematical Analysis where - among others - some basic knowledge of the topology of normed spaces is supposed to be included. For the reader's convenience some notions in this context are explicitly recalled here and there, and in particular as an Appendix in Section 1.4. An excellent reference for this general background material is W. Rudin's classic Principles of Mathematical Analysis. On the other hand, a complete discussion of the results on ODE and PDE that are here just sketched are to be found in other books, specifically and more deeply devoted to these subjects, some of which are listed in the Bibliography. In conclusion and in brief, my hope is that the present Notes can serve as a second quick reading on the theme of ODE, and as a first introductory reading on Fourier series, Hilbert spaces, and PDE.
This book is intended to be used as a rather informal, and surely not complete, textbook on the subjects indicated in the title. It collects my Lecture Notes held during three academic years at the University of Siena for a one semester course on "Basic Mathematical Physics", and is organized as a short presentation of few important points on the arguments indicated in the title. It aims at completing the students' basic knowledge on Ordinary Differential Equations (ODE) - dealing in particular with those of higher order - and at providing an elementary presentation of the Partial Differential Equations (PDE) of Mathematical Physics, by means of the classical methods of separation of variables and Fourier series. For a reasonable and consistent discussion of the latter argument, some elementary results on Hilbert spaces and series expansion in othonormal vectors are treated with some detail in Chapter 2. Prerequisites for a satisfactory reading of the present Notes are not only a course of Calculus for functions of one or several variables, but also a course in Mathematical Analysis where - among others - some basic knowledge of the topology of normed spaces is supposed to be included. For the reader's convenience some notions in this context are explicitly recalled here and there, and in particular as an Appendix in Section 1.4. An excellent reference for this general background material is W. Rudin's classic Principles of Mathematical Analysis. On the other hand, a complete discussion of the results on ODE and PDE that are here just sketched are to be found in other books, specifically and more deeply devoted to these subjects, some of which are listed in the Bibliography. In conclusion and in brief, my hope is that the present Notes can serve as a second quick reading on the theme of ODE, and as a first introductory reading on Fourier series, Hilbert spaces, and PDE.
2
Differential Equations Fourier Series and Hilbert Spaces
DE HC NWISBN: 9783111294858 bzw. 3111294854, in Deutsch, De Gruyter, gebundenes Buch, neu.
Lieferung aus: Deutschland, Versandkostenfrei, published soon.
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Differential Equations, Fourier Series, and Hilbert Spaces
ENISBN: 9783111302867 bzw. 3111302865, in Englisch, Vitalsource Technologies, Inc.
Lieferung aus: Vereinigte Staaten von Amerika, Lagernd.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
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