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Articles 1 - 16 of 16

Full-Text Articles in Physical Sciences and Mathematics

The Method Of Lagrange Multipliers, William Trench Jan 2013

The Method Of Lagrange Multipliers, William Trench

William F. Trench

This is a supplement to the author's "Introduction to Real Analysis." It has been judged to meet the evaluation criteria set by the Editorial Board of the American Institute of Mathematics in connection with the Institute's Open Textbook Initiative.

It may be copied, modified, redistributed, translated, and built upon subject to the Creative Commons

Attribution-NonCommercial-ShareAlike 3.0 Unported License.

A complete instructor's solution manual is available by email to wtrench@trinity.edu, subject to verification of the requestor's faculty status.


An Elementary View Of Weyl's Theory Of Equal Distribution, William Trench Jan 2012

An Elementary View Of Weyl's Theory Of Equal Distribution, William Trench

William F. Trench

No abstract provided.


Properties Of Some Generalizations Of Kac-Murdock-Szeg"O Matrices, William Trench Jan 2001

Properties Of Some Generalizations Of Kac-Murdock-Szeg"O Matrices, William Trench

William F. Trench

No abstract provided.


A Rieman Integral Proof Of A Generalized Riemann Lemma, William Trench Jan 2000

A Rieman Integral Proof Of A Generalized Riemann Lemma, William Trench

William F. Trench

No abstract provided.


Numerical Solution Of The Eigenvalue Problem For Hermitian Toeplitz Matrices, William Trench, Michael Ng Jan 1997

Numerical Solution Of The Eigenvalue Problem For Hermitian Toeplitz Matrices, William Trench, Michael Ng

William F. Trench

No abstract provided.


Some Spectral Properties Of Hermitian Toeplitz Matrices, William Trench Jan 1994

Some Spectral Properties Of Hermitian Toeplitz Matrices, William Trench

William F. Trench

No abstract provided.


Numerical Solution Of The Eigenvalue Problem For Hermitian Toeplitz Matrices, William Trench Jan 1989

Numerical Solution Of The Eigenvalue Problem For Hermitian Toeplitz Matrices, William Trench

William F. Trench

No abstract provided.


Mixed Sublinear, Superlinear, And Singular Systems Of Functional Differential Equations, William Trench Jan 1988

Mixed Sublinear, Superlinear, And Singular Systems Of Functional Differential Equations, William Trench

William F. Trench

No abstract provided.


First Integrals For Equations With Nonlinearities Of The Emden-Fowler Type, William Trench, Leon Bahar Jan 1987

First Integrals For Equations With Nonlinearities Of The Emden-Fowler Type, William Trench, Leon Bahar

William F. Trench

No abstract provided.


Characteristic Polynomials Of Symmetric Rationally Generated Toeplitz Matrices, William Trench Jan 1987

Characteristic Polynomials Of Symmetric Rationally Generated Toeplitz Matrices, William Trench

William F. Trench

No abstract provided.


Linear Perturbations Of A Constant Coefficient Differential Equation Subject To Mild Integral Smallness Conditions, William Trench Jan 1986

Linear Perturbations Of A Constant Coefficient Differential Equation Subject To Mild Integral Smallness Conditions, William Trench

William F. Trench

No abstract provided.


Global Existence Theorems For Solutions Of Nonlinear Differential Equations With Prescribed Asymptotic Behavior, William Trench, T. Kusano Jan 1985

Global Existence Theorems For Solutions Of Nonlinear Differential Equations With Prescribed Asymptotic Behavior, William Trench, T. Kusano

William F. Trench

No abstract provided.


Asymptotic Integration Of Linear Differential Equations Subject To Mild Integral Conditions, William Trench Jan 1984

Asymptotic Integration Of Linear Differential Equations Subject To Mild Integral Conditions, William Trench

William F. Trench

No abstract provided.


Asymptotic Integration Of Linear Differential Equations Subject To Integral Smallness Conditions Involving Ordinary Convergence, William Trench Jan 1976

Asymptotic Integration Of Linear Differential Equations Subject To Integral Smallness Conditions Involving Ordinary Convergence, William Trench

William F. Trench

No abstract provided.


On The Inversion Of A Hilbert Type Matrix, William Trench, Perry Scheinok Jan 1966

On The Inversion Of A Hilbert Type Matrix, William Trench, Perry Scheinok

William F. Trench

We consider the inversion of finite and infinite matrices related to Hilbert matrices.


An Algorithm For The Inversion Of Finite Hankel Matrices, William Trench Jan 1965

An Algorithm For The Inversion Of Finite Hankel Matrices, William Trench

William F. Trench

No abstract provided.