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Details for:
Wilf H. Mathematics for the Physical Sciences 2006
wilf h mathematics physical sciences 2006
Type:
E-books
Files:
2
Size:
14.6 MB
Uploaded On:
Jan. 3, 2023, 5:09 p.m.
Added By:
andryold1
Seeders:
11
Leechers:
1
Info Hash:
A072A2A296B86C9F5E2F0E847CBE7617278DE580
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Textbook in PDF format Advanced undergraduates and graduate students in the natural sciences receive a solid foundation in several fields of mathematics with this text. Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. Vector Spaces and Matrices Vector Spaces Schwarz Inequality and Orthogonal Sets Linear Dependence and Independence Linear Operators on a Vector Space Eigenvalues and Hermitian Operators Unitary Operators Projection Operators Euclidean n-space and Matrices Matrix Algebra The Adjoint Matrix The Inverse Matrix Eigenvalues of Matrices Diagonalization of Matrice Functions of Matrices The Companion Matrix Bordering Hermitian Matrices Definite Matrices Rank and Nullity Simultaneous Diagonalization and Commutativity The Numerical Calculation of Eigenvalues Application to Differential Equations Bounds for the Eigenvalues Matrices with Nonnegative Elements Exercises Orthogonal Functions Orthogonal Polynomials Zeros The Recurrence Formula The Christoffel-Darboux Identity Modifying the Weight Function Rodrigues' Formula Location of the Zeros Gauss Quadrature The Classical Polynomials Special Polynomials The Convergence of Orthogonal Expansions Trigonometric Series Fejer Summa Exercises The Roots of Polynomial Equations The Gauss-Lucas Theorem Bounds for the Moduli of the Zeros Sturm Sequences Zeros in a Half-Plane Zeros in a Sector; Erdos-Turan's Theorem Newton's Sums, 100 Other Numerical Methods Exercises Asymptotic Expansions Introduction; the 0, 0, ~ symbols Sums Stirling's Formula Sums of Powers The Functional Equation of The Method of Laplace for Integrals The Method of Stationary Phase Recurrence Relations Exercises Ordinary Differential Equations Equations of the First Order Picard's Theorem Remarks on Picard's Theorem; Wintner's Method Numerical Solution of Differential Equations Truncation Error Predictor-Corrector Formulas Stability Linear Equations of the Second Order Solution Near a Regular Point Convergence of the Formal Solution A Second Solution in the Exceptional Cas The Gamma Function Bessel Functions Exercises Conformal Mapping Conformal Mapping Univalent Functions Families of Functions Regular on a Domain The Riemann Mapping Theorem A Constructive Approach The Schwarz-Christoffel Mapping Applications of Conformal Mapping Analytic and Geometric Function Theory Exercises Extremum Problems Functions of Real Variables The Method of Lagrange Multipliers, The First Problem of the Calculus of Variations Some Examples Distinguishing Maxima from Minima Problems with Side Conditions Several Unknown Functions or Independent Variables The Variational Notation The Maximization of Linear Functions with Co On Best Approximation by Polynomials Exercises Solutions of the Exercises Books Referred to in the Text
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Wilf H. Mathematics for the Physical Sciences 1962.pdf
5.6 MB
Wilf H. Mathematics for the Physical Sciences 2006.pdf
9.0 MB