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Linear Algebra for the Sciences

  • Textbook
  • © 2023

Overview

  • A concise introduction to linear algebra for first-semester science students
  • Each section contains a problem set with solutions in the appendix
  • Focuses on precise definitions, uses helpful notations and illustrates results with numerous examples

Part of the book series: UNITEXT (UNITEXT, volume 151)

Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)

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Table of contents (6 chapters)

Keywords

About this book

This book is based on a course for first-semester science students, held by the second author at the University of Zurich several times. Its goal is threefold: to have students learn a minimal working knowledge of linear algebra, acquire some computational skills, and familiarize them with mathematical language to make mathematical literature more accessible. Therefore, we give precise definitions, introduce helpful notations, and state any results carefully worded. We provide no proofs of these results but typically illustrate them with numerous examples. Additionally, for better understanding, we often give supporting arguments for why they are valid.

Authors and Affiliations

  • Department of Mathematics, Literargymnasium Raemibuehl, Zurich, Switzerland

    Manuel Benz

  • Institute of Mathematics, University of Zurich, Zurich, Switzerland

    Thomas Kappeler

About the authors



Manuel Benz is a high school teacher working in Zurich. After his studies in theoretical particle physics and mathematics, he taught, together with Thomas Kappeler, several courses at the University of Zurich. The courses' goal: To find a bridge between high school and university mathematics and to motivate young students to pursue their studies in mathematics.​

Thomas Kappeler was an Emeritus Professor at the University of Zurich. He started his academic career with a thesis on bilinear integrals, was a visiting professor at four universities in the United States and following a professorship at the Ohio State University, he was appointed professor at the University of Zurich. His research focused, among others, on global analysis and dynamical systems. In his lectures, he took great care to present the topics with precision and clarity.






Bibliographic Information

  • Book Title: Linear Algebra for the Sciences

  • Authors: Manuel Benz, Thomas Kappeler

  • Series Title: UNITEXT

  • DOI: https://doi.org/10.1007/978-3-031-27220-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Softcover ISBN: 978-3-031-27219-6Published: 27 August 2023

  • eBook ISBN: 978-3-031-27220-2Published: 26 August 2023

  • Series ISSN: 2038-5714

  • Series E-ISSN: 2532-3318

  • Edition Number: 1

  • Number of Pages: XII, 259

  • Number of Illustrations: 14 b/w illustrations, 3 illustrations in colour

  • Topics: Linear Algebra, Algebra

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