MARC details
| 000 -LEADER |
|---|
| fixed length control field |
02597 a2200277 4500 |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
|---|
| LC control number |
2011020971 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780691113876 (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
0691113874 (hbk.) |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
|
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515/.7 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Number source |
bisacsh |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
|---|
| -- |
25293 |
| -- |
25293 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Stein, Elias M |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Functional analysis |
| Remainder of title |
introduction to further topics in analysis |
| Statement of responsibility, etc. |
Elias M. Stein & Rami Shakarchi |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Princeton |
| Name of publisher, distributor, etc. |
Princeton University Press |
| Date of publication, distribution, etc. |
c2011 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xv, 423 p |
| Other physical details |
ill |
| Dimensions |
24 cm |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Princeton lectures in analysis |
| Volume/sequential designation |
4 |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Contine bibliografie si index |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
"This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject. A comprehensive and authoritative text that treats some of the main topics of modern analysis. A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables. Key results in each area discussed in relation to other areas of mathematics. Highlights the organic unity of large areas of analysis traditionally split into subfields. Interesting exercises and problems illustrate ideas. Clear proofs provided" -- |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
"This book covers such topics as Lp spaces, distributions, Baire category, probability theory and Brownian motion, several complex variables and oscillatory integrals in Fourier analysis. The authors focus on key results in each area, highlighting their importance and the organic unity of the subject"-- |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Functional analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
MATHEMATICS / Functional Analysis |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Shakarchi, Rami |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Princeton lectures in analysis |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Institution code [OBSOLETE] |
IMAR |
| Koha item type |
Carti |
| Serial record flag |
RM |