| 000 -LEADER |
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| fixed length control field |
02194 a2200229 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250106120501.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250103b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
9783030380014 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
IIT Kanpur |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.7222 |
| Item number |
B648s |
| 100 ## - MAIN ENTRY--AUTHOR NAME |
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| Personal name |
Borthwick, David |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Spectral theory |
| Remainder of title |
basic concepts and applications |
| Statement of responsibility, etc |
David Borthwick |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Name of publisher |
Springer |
| Year of publication |
2020 |
| Place of publication |
Switzerland |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Number of Pages |
x, 338p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Graduate texts mathematics |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
/ edited by Sheldon Axler and Kenneth Ribet |
| Volume number/sequential designation |
; n. 284 |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters illustrate a variety of application areas, exploring key examples in detail. Readers looking to delve further into specialized topics will find ample references to classic and recent literature. Beginning with a brief introduction to functional analysis, the text focuses on unbounded operators and separable Hilbert spaces as the essential tools needed for the subsequent theory. A thorough discussion of the concepts of spectrum and resolvent follows, leading to a complete proof of the spectral theorem for unbounded self-adjoint operators. Applications of spectral theory to differential operators comprise the remaining four chapters. These chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds. Spectral Theory offers a uniquely accessible introduction to ideas that invite further study in any number of different directions. A background in real and complex analysis is assumed; the author presents the requisite tools from functional analysis within the text. This introductory treatment would suit a functional analysis course intended as a pathway to linear PDE theory. Independent later chapters allow for flexibility in selecting applications to suit specific interests within a one-semester course. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Spectral theory (Mathematics) |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
