Advanced mathematics for applications / (Record no. 84117)

000 -LEADER
fixed length control field 03018nam a2200349 i 4500
001 - CONTROL NUMBER
control field CR9780511777530
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240730160741.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100519s2011||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9780511777530 (ebook)
082 00 - CLASSIFICATION NUMBER
Call Number 510
100 1# - AUTHOR NAME
Author Prosperetti, Andrea,
245 10 - TITLE STATEMENT
Title Advanced mathematics for applications /
300 ## - PHYSICAL DESCRIPTION
Number of Pages 1 online resource (xviii, 724 pages) :
500 ## - GENERAL NOTE
Remark 1 Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 8# - FORMATTED CONTENTS NOTE
Remark 2 Part 0. General remarks and basic concepts: 1. The classical field equations -- 2. Some simple preliminaries -- Part I. Applications: 3. Fourier series : applications; 4. Fourier transform : applications -- 5. Laplace transform : applications -- 6. Cylindrical systems -- 7. Spherical systems -- Part II. Essential tools: 8. Sequences and series -- 9. Fourier series : theory -- 10. The Fourier and Hankel transforms -- 11. The Laplace transform -- 12. The Bessel equation -- 13. The Legendre equation -- 14. Spherical harmonics -- 15. Green's functions : ordinary differential equations -- 16. Green's functions : partial differential equations -- 17. Analytic functions -- 18. Matrices and finite-dimensional linear spaces -- Part III. Some advanced tools: 19. Infinite-dimensional spaces -- 20. Theory of distributions -- 21. Linear operators in infinite-dimensional spaces.
520 ## - SUMMARY, ETC.
Summary, etc The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1017/CBO9780511777530
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks
264 #1 -
-- Cambridge :
-- Cambridge University Press,
-- 2011.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Mathematics.

No items available.