Functions, Spaces, and Expansions
Mathematical Tools in Physics and Engineering
Seiten
2010
Birkhauser Boston Inc (Verlag)
978-0-8176-4979-1 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-4979-1 (ISBN)
This text presents a detailed exposition of key mathematical tools in analysis. Each topic covered was chosen because it plays a role beyond the field of pure mathematics, so the text is useful in exploring the computational areas of physics and engineering.
This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.
This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.
Mathematical Background.- Normed Vector Spaces.- Banach Spaces.- Hilbert Spaces.- The Lp-spaces.- The Hilbert Space L2.- The Fourier Transform.- An Introduction to Wavelet Analysis.- A Closer Look at Multiresolution Analysis.- B-splines.- Special Functions.- Appendix A.- Appendix B.
| Erscheint lt. Verlag | 15.6.2010 |
|---|---|
| Reihe/Serie | Applied and Numerical Harmonic Analysis |
| Zusatzinfo | 9 Illustrations, black and white; XIX, 266 p. 9 illus. |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| ISBN-10 | 0-8176-4979-4 / 0817649794 |
| ISBN-13 | 978-0-8176-4979-1 / 9780817649791 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 83,90
