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Full-Text Articles in Physical Sciences and Mathematics

Elementary Differential Equations With Boundary Value Problems, William F. Trench Dec 2014

Elementary Differential Equations With Boundary Value Problems, William F. Trench

William F. Trench

Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some prepa- ration in linear algebra. In writing this book I have been guided by the these principles: An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student’s place, and have chosen to err on the side of too much detail rather than not enough. …


Elementary Differential Equations, William F. Trench Dec 2014

Elementary Differential Equations, William F. Trench

William F. Trench

Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some preparation in linear algebra. In writing this book I have been guided by the these principles: An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student’s place, and have chosen to err on the side of too much detail rather than not enough. An …


Student Solutions Manual For Elementary Differential Equations And Elementary Differential Equations With Boundary Value Problems, William F. Trench Dec 2014

Student Solutions Manual For Elementary Differential Equations And Elementary Differential Equations With Boundary Value Problems, William F. Trench

William F. Trench

No abstract provided.


Introduction To Real Analysis, William F. Trench Dec 2014

Introduction To Real Analysis, William F. Trench

William F. Trench

This is a text for a two-term course in introductory real analysis for junior or senior math- ematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathe- matical maturity that can be gained from an introductory real analysis course. The book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics. The standard elementary calcu- lus sequence …


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.


Functions Defined By Improper Integrals, William F. Trench Dec 2012

Functions Defined By Improper Integrals, William F. 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 Textbook Initiative. It may be copied, modified, redistributed, translated, and built upon subject to the Creative Commons license

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.