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Mathematical methods in the physical sciences / (Record no. 4728)

MARC details
000 -LEADER
fixed length control field 06219cam a2200229 a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200622101601.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 050831s2006 njua b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780471198260 (acidfree paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0471198269 (acidfree paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780471365808 (WIE : acidfree paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0471365807 (WIE : acidfree paper)
040 ## - CATALOGING SOURCE
Transcribing agency PK
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510
Edition number 22
Item number B6626
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Boas, Mary L.
245 10 - TITLE STATEMENT
Title Mathematical methods in the physical sciences /
Statement of responsibility, etc Mary L. Boas
250 ## - EDITION STATEMENT
Edition statement 3rd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Islamabad :
Name of publisher, distributor, etc NBF,
Date of publication, distribution, etc 2006
300 ## - PHYSICAL DESCRIPTION
Extent xviii, 839 p. :
Other physical details ill. ;
Dimensions 27 cm.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Infinite Series, Power Series. The Geometric Series. Definitions and Notation. Applications of Series. Convergent and Divergent Series. Convergence Tests. Convergence Tests for Series of Positive Terms. Alternating Series. Conditionally Convergent Series. Useful Facts about Series. Power Series; Interval of Convergence. Theorems about Power Series. Expanding Functions in Power Series. Expansion Techniques. Accuracy of Series Approximations. Some Uses of Series. 2. Complex Numbers. Introduction. Real and Imaginary Parts of a Complex Number. The Complex Plane. Terminology and Notation. Complex Algebra. Complex Infinite Series. Complex Power Series; Disk of Convergence. Elementary Functions of Complex Numbers. Euler s Formula. Powers and Roots of Complex Numbers. The Exponential and Trigonometric Functions. Hyperbolic Functions. Logarithms. Complex Roots and Powers. Inverse Trigonometric and Hyperbolic Functions. Some Applications. 3. Linear Algebra. Introduction. Matrices; Row Reduction. Determinants; Cramer s Rule. Vectors. Lines and Planes. Matrix Operations. Linear Combinations, Functions, Operators. Linear Dependence and Independence. Special Matrices and Formulas. Linear Vector Spaces. Eigenvalues and Eigenvectors. Applications of Diagonalization. A Brief Introduction to Groups. General Vector Spaces. 4. Partial Differentiation. Introduction and Notation. Power Series in Two Variables. Total Differentials. Approximations using Differentials. Chain Rule. Implicit Differentiation. More Chain Rule. Maximum and Minimum Problems. Constraints; Lagrange Multipliers. Endpoint or Boundary Point Problems. Change of Variables. Differentiation of Integrals. 5. Multiple Integrals. Introduction. Double and Triple Integrals. Applications of Integration. Change of Variables in Integrals; Jacobians. Surface Integrals. 6. Vector Analysis. Introduction. Applications of Vector Multiplication. Triple Products. Differentiation of Vectors. Fields. Directional Derivative; Gradient. Some Other Expressions Involving V. Line Integrals. Green s Theorems in the Plane. The Divergence and the Divergence Theorem. The Curl and Stokes Theorem. 7. Fourier Series and Transforms. Introduction. Simple Harmonic Motion and Wave Motion; Periodic Functions. Applications of Fourier Series. Average Value of a Function. Fourier Coefficients. Complex Form of Fourier Series. Other Intervals. Even and Odd Functions. An Application to Sound. Parseval s Theorem. Fourier Transforms. 8. Ordinary Differential Equations. Introduction. Separable Equations. Linear First-Order Equations. Other Methods for First-Order Equations. Linear Equations (Zero Right-Hand Side). Linear Equations (Nonzero Right-Hand Side). Other Second-Order Equations. The Laplace Transform. Laplace Transform Solutions. Convolution. The Dirac Delta Function. A Brief Introduction to Green s Functions. 9. Calculus of Variations. Introduction. The Euler Equation. Using the Euler Equation. The Brachistochrone Problem; Cycloids. Several Dependent Variables; Lagrange s Equations. Isoperimetric Problems. Variational Notation. 10. Tensor Analysis. Introduction. Cartesian Tensors. Tensor Notation and Operations. Inertia Tensor. Kronecker Delta and Levi-Civita Symbol. Pseudovectors and Pseudotensors. More about Applications. Curvilinear Coordinates. Vector Operators. Non-Cartesian Tensors. 11. Special Functions. Introduction. The Factorial Function. Gamma Function; Recursion Relation. The Gamma Function of Negative Numbers. Formulas Involving Gamma Functions. Beta Functions. Beta Functions in Terms of Gamma Functions. The Simple Pendulum. The Error Function. Asymptotic Series. Stirling s Formula. Elliptic Integrals and Functions. 12. Legendre, Bessel, Hermite, and Laguerre functions. Introduction. Legendre s Equation. Leibniz Rule for Differentiating Products. Rodrigues Formula. Generating Function for Legendre Polynomials. Complete Sets of Orthogonal Functions. Orthogonality of Legendre Polynomials. Normalization of Legendre Polynomials. Legendre Series. The Associated Legendre Polynomials. Generalized Power Series or the Method of Frobenius. Bessel s Equation. The Second Solutions of Bessel s Equation. Graphs and Zeros of Bessel Functions. Recursion Relations. Differential Equations with Bessel Function Solutions. Other Kinds of Bessel Functions. The Lengthening Pendulum. Orthogonality of Bessel Functions. Approximate Formulas of Bessel Functions. Series Solutions; Fuch s Theorem. Hermite and Laguerre Functions; Ladder Operators. 13. Partial Differential Equations. Introduction. Laplace s Equation; Steady-State Temperature. The Diffusion of Heat Flow Equation; the Schrodinger Equation. The Wave Equation; the Vibrating String. Steady-State Temperature in a Cylinder. Vibration of a Circular Membrane. Steady-State Temperature in a Sphere. Poisson s Equation. Integral Transform Solutions of Partial Differential Equations. 14. Functions of a Complex Variable. Introduction. Analytic Functions. Contour Integrals. Laurent Series. The Residue Theorem. Methods of Finding Residues. Evaluation of Definite Integrals. The Point at Infinity; Residues of Infinity. Mapping. Some Applications of Conformal Mapping. 15. Probability and Statistics. Introduction. Sample Space. Probability Theorems. Methods of Counting. Random Variables. Continuous Distributions. Binomial Distribution. The Normal or Gaussian Distribution. The Poisson Distribution. Statistics and Experimental Measurements. Miscellaneous Problems. References. Answers to Selected Problems. Index.
Holdings
Withdrawn status Damaged status Not for loan Home library Current library Date acquired Source of acquisition Full call number Barcode Date last seen Price effective from Koha item type Copy number
      UE-Central Library UE-Central Library 06.09.2018 U.E. 510 B6626 T407D 06.09.2018 06.09.2018 Books  
      UE-Central Library UE-Central Library 06.09.2018 U.E. 510 B6626 T342D 06.09.2018 06.09.2018 Books  
      UE-Central Library UE-Central Library 06.09.2018 U.E. 510 B6626 T343D 06.09.2018 06.09.2018 Books  
      UE-Central Library UE-Central Library 10.09.2018 U.E. 510 B6626 T1033D 10.09.2018 10.09.2018 Books  
      UE-Central Library UE-Central Library 10.09.2018 U.E. 510 B6626 T1035D 10.09.2018 10.09.2018 Books  
      UE-Central Library UE-Central Library 10.09.2018 U.E. 510 B6626 T1034D 10.09.2018 10.09.2018 Books  
      UE-Central Library UE-Central Library 10.09.2018 U.E. 510 B6626 T1032D 10.09.2018 10.09.2018 Books  
      UE-Central Library UE-Central Library 12.09.2018 U.E. 510 B6626 T356D 29.11.2021 12.09.2018 Books  
      UE-Central Library UE-Central Library 11.01.2019 U.E. 510 B6626 T3990D 26.04.2024 11.01.2019 Books  
      UE-Central Library UE-Central Library 11.01.2019 U.E. 510 B6626 T3989D 19.02.2021 11.01.2019 Books  
      UE-Central Library UE-Central Library 24.09.2019 U.E. 510 B6626 T12528 24.09.2019 24.09.2019 Books  
      UE-Central Library UE-Central Library 24.09.2019 U.E. 510 B6626 T12527 03.02.2023 24.09.2019 Books  
      UE-Central Library UE-Central Library 24.09.2019 U.E. 510 B6626 T12526 18.10.2022 24.09.2019 Books  
      UE-Central Library UE-Central Library 05.11.2019 U.E. 510 B6626 T4352D 05.11.2019 05.11.2019 Books c. 14
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