Higher Mathematics for Physics and Engineering (Record no. 111267)

000 -LEADER
fixed length control field 03647nam a22005055i 4500
001 - CONTROL NUMBER
control field 978-3-540-87864-3
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220084521.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100427s2010 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540878643
-- 978-3-540-87864-3
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/b138494
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC19.2-20.85
072 #7 - SUBJECT CATEGORY CODE
Subject category code PHU
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI040000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.1
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Nakayama, Tsuneyoshi.
Relator term author.
245 10 - TITLE STATEMENT
Title Higher Mathematics for Physics and Engineering
Medium [electronic resource] :
Remainder of title Mathematical Methods for Contemporary Physics /
Statement of responsibility, etc by Tsuneyoshi Nakayama, Hiroyuki Shima.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2010.
300 ## - PHYSICAL DESCRIPTION
Extent XXI, 702 p.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preliminaries -- I Real Analysis -- Real Sequences and Series -- Real Functions -- II Functional Analysis -- Hilbert Spaces -- Orthonormal Polynomials -- Lebesgue Integrals -- III Complex Analysis -- Complex Functions -- Singularity and Continuation -- Contour Integrals -- Conformal Mapping -- IV Fourier Analysis -- Fourier Series -- Fourier Transformation -- Laplace Transformation -- Wavelet Transformation -- V Differential Equations -- Ordinary Differential Equations -- System of Ordinary Differential Equations -- Partial Differential Equations -- VI Tensor Analyses -- Cartesian Tensors -- Non-Cartesian Tensors -- Tensor as Mapping.
520 ## - SUMMARY, ETC.
Summary, etc Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global analysis (Mathematics).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Engineering mathematics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Theoretical, Mathematical and Computational Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Appl.Mathematics/Computational Methods of Engineering.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Applications of Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Methods in Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Analysis.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Shima, Hiroyuki.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783540878636
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/b138494
912 ## -
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