Mathematical methods for physics and engineering / (Record no. 195)
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000 -LEADER | |
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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. |
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 |