Introduction to Linear Algebra

Author(s)
Deborah C. Arangno
Edition
1
Pages
100
Book Type
Academic

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CHOOSE YOUR FORMAT

Help Me Choose

Paperback Book

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ISBN: 9798319734792
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eBook

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ISBN: 9798319734808
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Electronic Delivery EBOOK - 365 days

The methods of Linear Algebra are used in applications that involve systems of equations to formulate, solve, and understand the solutions.

Linear algebra is a fundamental tool in modern applications of mathematics, used to solve many real-world problems, (scheduling flights, ranking webpages in search engines, or modeling fluid dynamics, etc.)

This book covers the essential ideas and methods of Linear Algebra and acquaints the reader with how to use the techniques of matrices and vector spaces in solving problems.

This book can be used for an undergraduate course on the foundations of Linear Algebra, designed for students in the sciences and engineering. After completing such a course, you should understand fundamental topics of linear algebra including vectors, matrices, linear systems, vector spaces, eigenvalues and eigenvectors, and orthogonality.

Deborah C. Arangno

Dr. Deborah Arangno is Professor of Mathematics and the first Father David Tyson Endowed Chair of Natural and Quantitative Sciences, Holy Cross College at Notre Dame, where she also serves as the Director of Mathematics. A pure mathematician with a diverse background that spans writing, international academia, and defense systems research, Dr. Arangno specializes in graph theory, cosmology, and mathematical philosophy.

Academic Background and Early Career 
Dr. Arangno’s academic foundation is rooted in both the sciences and humanities. She earned a Bachelor of Science with a triple major in Mathematics, Physics, and Latin from Mercer University, graduating magna cum laude. She subsequently obtained a Master of Science in Mathematics from Emory University and completed her PhD in Pure Mathematics at Utah State University in 2014. Her doctoral dissertation focused on "Hamiltonicity, Pancyclicity, and Cycle Extendability in Graphs."

Academic Leadership and International Experience 
Dr. Arangno has held various leadership roles at Holy Cross College since 2019, progressing from Assistant Professor to her current endowed chair position. Her career is marked by extensive international teaching experience; she spent a decade with the University of Maryland Global Campus (formerly University College), teaching mathematics and physical science across Europe and Southwest Asia, including postings in Italy, Iceland, Great Britain, Germany, Kosovo, Kuwait, Abu Dhabi, and Afghanistan. She has also taught at the U.S. Air Force Academy, the University of Colorado (Boulder, Denver, and Colorado Springs), the Colorado College, and the International College of Beijing.

In addition to her teaching in the area of Mathematics, she participated in the inaugural cohort of the Eric Roberts Program in Computer Science Education at Stanford University and has served as a Co-Principal Investigator on various STEM contracts and projects.

Before her concentration on higher education leadership, Dr. Arangno applied her mathematical expertise to national defense. She served as a Mathematician at the Directorate of Astrodynamics for NORAD/Space Command and worked as the Senior Systems Analyst on the Strategic Defense Initiative (SDI), commonly known as the "Star Wars" program. 

The methods of Linear Algebra are used in applications that involve systems of equations to formulate, solve, and understand the solutions.

Linear algebra is a fundamental tool in modern applications of mathematics, used to solve many real-world problems, (scheduling flights, ranking webpages in search engines, or modeling fluid dynamics, etc.)

This book covers the essential ideas and methods of Linear Algebra and acquaints the reader with how to use the techniques of matrices and vector spaces in solving problems.

This book can be used for an undergraduate course on the foundations of Linear Algebra, designed for students in the sciences and engineering. After completing such a course, you should understand fundamental topics of linear algebra including vectors, matrices, linear systems, vector spaces, eigenvalues and eigenvectors, and orthogonality.

Deborah C. Arangno

Dr. Deborah Arangno is Professor of Mathematics and the first Father David Tyson Endowed Chair of Natural and Quantitative Sciences, Holy Cross College at Notre Dame, where she also serves as the Director of Mathematics. A pure mathematician with a diverse background that spans writing, international academia, and defense systems research, Dr. Arangno specializes in graph theory, cosmology, and mathematical philosophy.

Academic Background and Early Career 
Dr. Arangno’s academic foundation is rooted in both the sciences and humanities. She earned a Bachelor of Science with a triple major in Mathematics, Physics, and Latin from Mercer University, graduating magna cum laude. She subsequently obtained a Master of Science in Mathematics from Emory University and completed her PhD in Pure Mathematics at Utah State University in 2014. Her doctoral dissertation focused on "Hamiltonicity, Pancyclicity, and Cycle Extendability in Graphs."

Academic Leadership and International Experience 
Dr. Arangno has held various leadership roles at Holy Cross College since 2019, progressing from Assistant Professor to her current endowed chair position. Her career is marked by extensive international teaching experience; she spent a decade with the University of Maryland Global Campus (formerly University College), teaching mathematics and physical science across Europe and Southwest Asia, including postings in Italy, Iceland, Great Britain, Germany, Kosovo, Kuwait, Abu Dhabi, and Afghanistan. She has also taught at the U.S. Air Force Academy, the University of Colorado (Boulder, Denver, and Colorado Springs), the Colorado College, and the International College of Beijing.

In addition to her teaching in the area of Mathematics, she participated in the inaugural cohort of the Eric Roberts Program in Computer Science Education at Stanford University and has served as a Co-Principal Investigator on various STEM contracts and projects.

Before her concentration on higher education leadership, Dr. Arangno applied her mathematical expertise to national defense. She served as a Mathematician at the Directorate of Astrodynamics for NORAD/Space Command and worked as the Senior Systems Analyst on the Strategic Defense Initiative (SDI), commonly known as the "Star Wars" program. 

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