Mathematical methods for physics and engineering / (Record no. 195)

MARC details
000 -LEADER
fixed length control field 07631cam a22003137a 4500
001 - CONTROL NUMBER
control field 14510102
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230730122334.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 060821s2006 enka 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2006280779
015 ## - NATIONAL BIBLIOGRAPHY NUMBER
National bibliography number GBA604215
Source bnb
016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER
Record control number 013354562
Source Uk
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521679718
040 ## - CATALOGING SOURCE
Original cataloging agency BUL
Transcribing agency BUL
Modifying agency BUL
Language of cataloging ENG
Description conventions RDA
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.
Edition number 22
Item number RIL.
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Riley, K. F.
Fuller form of name (Kenneth Franklin),
245 10 - TITLE STATEMENT
Title Mathematical methods for physics and engineering /
Statement of responsibility, etc. K.F. Riley, M.P. Hobson and S.J. Bence.
250 ## - EDITION STATEMENT
Edition statement 3rd edition.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Cambridge ;
-- New York :
Name of publisher, distributor, etc. Cambridge University Press,
Date of publication, distribution, etc. c2006.
300 ## - PHYSICAL DESCRIPTION
Extent xxvii, 1333 p. :
Other physical details ill. ;
Dimensions 26 cm.
500 ## - GENERAL NOTE
General note <br/>CONTENT<br/><br/><br/>1 . Preliminary algebra<br/><br/> 1.1 Simple functions and equations<br/> 1.2 Trigonometric identities<br/> 1.3 Coordinate geometry<br/> 1.4 Partial fractions<br/> 1.5 Binomial expansion<br/><br/>2. Preliminary calculus<br/> <br/> 2.1 Differentiation<br/> 2.2 Integration<br/> 2.3 Exercises<br/> 2.4 Hints and answers<br/><br/>3. Complex numbers and hyperbolic functions<br/> <br/> 3.1 The need for complex numbers<br/> 3.2 Manuipulation of complex numbers<br/> 3.3 Polar representation of complex numbers<br/> 3.4 de Moivre's theorem<br/> 3.5 Complex logarithms and complex powers<br/>etc<br/><br/>4. Serires and Limits<br/><br/> 4.1 Series<br/> 4.2 Summation of series<br/> 4.3 Convergence of infinite series<br/> 4.4 Operations with series<br/> 4.5 Power series<br/>etc<br/><br/>5 Partial differentiation<br/> 5.1 Definition of the partial derivative<br/> 5.2 The total differential and total derivative<br/> 5.3 Exact and inexact differentials <br/> 5.4 Useful theorems of partial differentiation<br/> 5.5 The chain rule<br/>etc<br/><br/>6. Multiple integrals <br/> 6.1 Double integrals <br/> 6.2 Triple integrals <br/> 6.3 Applications of multiple integrals<br/> 6.4 Change of variables in multiple integrals<br/> 6.5 Exercise <br/>etc<br/><br/>7 Vector algebra<br/><br/> 7.1 Scalars and vectors<br/> 7.2 Addition and subtraction of vectors<br/> 7.3 Multiplication by a Scalar<br/> 7.4 Basic vector and components <br/> 7.5 Magnitude of a vector<br/>etc<br/><br/>8 Matrices and vector space<br/> <br/> 8.1 Vector space<br/> 8.2 Linear spaces<br/> 8.3 Matrices<br/> 8.4 Basic matrix algebra<br/> 8.5 Function of matrices<br/>etc<br/><br/>9 Normal modes <br/> 9.1 Typical oscillatrory systems <br/> 9.2 Symmetry and normal modes<br/> 9.3 Rayleigh- Ritz method<br/> 9.4 Exercises<br/> 9.5 Hints and answers<br/><br/>10 Vector calculus<br/><br/> 10.1 Differentiation of vectors<br/> 10.2 Integration of vectors<br/> 10.3 Space curves<br/> 10.4 Vector functions of several arguments<br/> 10.5 Surfaces<br/>etc<br/><br/>11 Line, surface and volume integrals<br/> <br/> 11.1 Line integrals <br/> 11.2 Connectivity of regions<br/> 11.3 Green's theorem in a plane<br/> 11.4 Conservative fields and potentials<br/> 11.5 Surface integrals <br/>etc<br/><br/>12 Fourier series<br/><br/> 12.1 The dirichlet conditions<br/> 12.2 The fourier coefficients<br/> 12.3 Symmetry considerations<br/> 12.4 Discontinuous functions<br/> 12.5 Non-periodic functions<br/>etc<br/><br/>13 Integral transforms<br/> <br/> 13.1 Fourier transforms <br/> 13.2 Laplace transforms<br/> 13.3 Concluding remarks<br/> 13.4 Exercise<br/> 13.5 Hints and answers<br/>etc<br/><br/>14 First-order ordinary differential equations<br/><br/> 14.1 General form of soluton<br/> 14.2 First- degree first order eqyations<br/> 14.3 Higher -degree first order equations<br/> 14.4 Exercises<br/> 14.5 Hints and answers<br/><br/>15 Higher-order ordinary differential equations<br/><br/> 15.1 Linear equations with constant coefficients<br/> 15.2 Linear equations with variable coefficients<br/> 15.3 General ordinary differential equations<br/> 15.4 Exercises<br/> 15.5 Hints and answers<br/><br/>16 Series solutions of ordinary differential equations<br/><br/> 16.1 Second- order linear ordinarydifferential equations<br/> 16.2 Series solutions about an ordinary point<br/> 16.3 Series solutions about a regular singular point<br/> 16.4 Obtaining a second solution<br/> 16.5 Polynomial solutions<br/>etc<br/><br/>17 Eigenfunction methods for differential equations<br/> <br/> 17.1 Sets of functions <br/> 17.2 Adjoint, self-adjoint and hermitian operators<br/> 17.3 Properties of hermitian operators<br/> 17.4 Sturm- Liouville equations<br/> 17.5 Superposition of eigenfunctions:Green's functions<br/>etc<br/><br/>18 Special functions <br/><br/> 18.1 Legendre functions<br/> 18.2 Associated Legendre functions<br/> 18.3 Spherical harmonics <br/> 18.4 Chebyshev functions<br/> 18.5 Bessel functions<br/>etc<br/><br/>19 Quantum operators <br/> <br/> 19.1 Operator formalism<br/> 19.2 Physical examples of operators <br/> 19.3 Exercise<br/> 19.4 Hints and answers<br/><br/>20 Partial differentail equations : general and particular solutions<br/><br/> 20.1 Important partial differential equations<br/> 20.2 General for of solutions<br/> 20.3 General and particular solutions <br/> 20.4 The wave equation<br/> 20.5 The diffusion equation<br/>etc<br/><br/>21 Partial and differential equations : seperation of variables and other methods<br/><br/> 21.1 Separation of variables : the general method <br/> 21.2 Superposition of separated solutions<br/> 21.3 Separation of variables in polar coordinates<br/> 21.4 Integral transform methods<br/> 21.5 Inhomogeneous problems<br/>etc<br/><br/>22 Calculus of variations<br/><br/> 22.1 The Euler- Language equation<br/> 22.2 Special cases<br/> 22.3 Some extentions<br/> 22.4 Constrained varation<br/> 22.5 Physical variational principles<br/>etc<br/><br/>23. Integral equations<br/> <br/> 23.1 Obtaining an integral equation from a differential equation<br/> 23.2 Types of integral equation<br/> 23.3 Operator notation and existence of solutions<br/> 23.4 Closed-form solution<br/> 23.5 Neumann series<br/>etc<br/><br/>24 Complex variables<br/> <br/> 24.1 Function of complex variables <br/> 24.2 The cauchy -Riemann relations<br/> 24.3 Power series in a complex variable<br/> 24.4 Some elementary functions<br/> 24.5 Multivalued functions and branch cuts<br/> etc<br/><br/>25 Applications of complex variables<br/><br/> 25.1 Complex potentials <br/> 25.2 Applications of conformal transformations<br/> 25.3 Location of Zeros<br/> 25.4 Summation of series<br/> 25.5 Inverse Lpaplace transform<br/>etc<br/><br/>26. Tensors <br/><br/> 26.1 Some notation<br/> 26.2 Change of basis<br/> 26.3 Cartesian tensors<br/> 26.4 First - and zero -order Cartesian tensors<br/> 26.5 Second - and higher -order Cartesian tensors<br/>etc<br/><br/>27 Numerical methods<br/> <br/> 27.1 Algebraic and transcendental equations<br/> 27.2 Convergence of iteration schemes<br/> 27.3 Simultaneous linear equations<br/> 27.4 Numerical integration<br/> 27.5 Finite differences<br/>etc<br/><br/>28 Group theory <br/><br/> 28.1 Groups <br/> 28.2 Finite groups<br/> 28.3 Non- Abelian groups<br/> 28.4 Permutation groups<br/> 28.5 Mappings between groups<br/>etc<br/><br/>29 Representation theory<br/> 29.1 Dipole moments of molecules<br/> 29.2 Choosing an appropriate formalism<br/> 29.3 Equivalent representations<br/> 29.4 Reducibility of a representation<br/> 29.5 The orthogonality theorem for irreducible representations<br/>etc<br/><br/>30 Probability<br/><br/> 30.1 Venn diagram<br/> 30.2 Probability<br/> 30.3 Permutations and combinations<br/> 30.4 Random variables and distributions<br/> 30.5 Properties distribution<br/>etc<br/><br/>31 Statistics <br/> <br/> 31.1 Experiments, samples and populations<br/> 31.2 Sample statistics<br/> 31.3 Estimators and sampling distribution <br/> 31.4 Some basic estimators <br/> 31.5 Maximum- likelihood methhod<br/> <br/> <br/> <br/>
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes index : p.1305 - 1333
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Engineering mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical physics.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Hobson, M. P.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Bence, S. J.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Book Closed Access
Edition 3rd edition
Classification part 510
Item part 1
Call number prefix RIL.
Call number suffix 510 RIL.
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Inventory number Total Checkouts Full call number Barcode Date last seen Copy number Price effective from Koha item type
    Dewey Decimal Classification     Engineering Library Engineering Library 01/25/2021 Purchased 0009769   515. RIL. 1 BUML23070670 01/25/2021 1 01/25/2021 Book Closed Access
    Dewey Decimal Classification     Engineering Library Engineering Library 01/25/2021 Purchased 0011187   515. RIL. 2 BUML23070669 01/25/2021 2 01/25/2021 Book Closed Access