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020 _a9780471198260 (acidfree paper)
020 _a0471198269 (acid-free paper)
020 _a9780471365808 (WIE : acid-free paper)
020 _a0471365807 (WIE : acid-free paper)
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050 0 0 _aQA37.3
_b.B63 2006
100 1 _aBoas, Mary L.
_91128
245 1 0 _aMathematical methods in the physical sciences /
_cMary L. Boas.
250 _a3rd ed.
260 _aHoboken, NJ :
_bWiley,
_cc2006.
300 _axviii, 839 p. :
_bill. ;
_c27 cm.
500 _aIncludes index.
505 _a1. 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. Intro
520 _aNow in its third edition, Mathematical Concepts in the Physical Sciences provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference.
650 0 _aMathematics
_91057
942 _2lcc
_n0
_cBK
999 _c322
_d322