Advanced mathematical analysis (Record no. 56261)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02736nam a22002177a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200120142438.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 200120b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3540780300 |
| 028 ## - DISTRIBUTOR NAME | |
| Distributor Name | Donated by Mathematics Department |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 BEA |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Richard Beals |
| 245 ## - TITLE STATEMENT | |
| Title | Advanced mathematical analysis |
| Remainder of title | :periodic functions and distributions, complex analysis, Laplace transform and applications. |
| Statement of responsibility, etc | /Richard Beals |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | New York |
| Name of publisher, distributor, etc | :Springer-Verlag |
| Date of publication, distribution, etc | ,1973 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | x, 230 pages |
| Dimensions | ;25 cm |
| 365 ## - TRADE PRICE | |
| Price amount | 00 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Contents note | One Basis concepts.- 1. Sets and functions.- 2. Real and complex numbers.- 3. Sequences of real and complex numbers.- 4. Series.- 5. Metric spaces.- 6. Compact sets.- 7. Vector spaces.- Two Continuous functions.- 1. Continuity, uniform continuity, and compactness.- 2. Integration of complex-valued functions.- 3. Differentiation of complex-valued functions.- 4. Sequences and series of functions.- 5. Differential equations and the exponential function.- 6. Trigonometric functions and the logarithm.- 7. Functions of two variables.- 8. Some infinitely differentiable functions.- Three Periodic functions and periodic distributions.- 1. Continuous periodic functions.- 2. Smooth periodic functions.- 3. Translation, convolution, and approximation.- 4. The Weierstrass approximation theorems.- 5. Periodic distributions.- 6. Determining the periodic distributions.- 7. Convolution of distributions.- 8. Summary of operations on periodic distributions.- Four Hilbert spaces and Fourier series.- 1. An inner product in ?, and the space ?2.- 2. Hilbert space.- 3. Hilbert spaces of sequences.- 4. Orthonormal bases.- 5. Orthogonal expansions.- 6. Fourier series.- Five Applications of Fourier series.- 1. Fourier series of smooth periodic functions and periodic distributions.- 2. Fourier series, convolutions, and approximation.- 3. The heat equation: distribution solutions.- 4. The heat equation: classical solutions; derivation.- 5. The wave equation.- 6. Laplace's equation and the Dirichlet problem.- Six Complex analysis.- 1. Complex differentiation.- 2. Complex integration.- 3. The Cauchy integral formula.- 4. The local behavior of a holomorphic function.- 5. Isolated singularities.- 6. Rational functions; Laurent expansions; residues.- 7. Holomorphic functions in the unit disc.- Seven The Laplace transform.- 1. Introduction.- 2. The space ?.- 3. The space ??.- 4. Characterization of distributions of type ??.- 5. Laplace transforms of functions.- 6. Laplace transforms of distributions.- 7. Differential equations.- Notes and bibliography.- Notation index. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 655 ## - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | ;Mathematical analysis |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Richard Beals |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Mathematics Departmental Library |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Mathematics Departmental Library | Mathematics Departmental Library | 20/01/2020 | Donated by Mathematics Department | 0.00 | 515 BEA | M127 | 20/01/2020 | 20/01/2020 | Mathematics Departmental Library |
