© 2017

Math Tools

500+ Applications in Science and Arts

  • Includes numerous thought-provoking examples

  • Demonstrates the connection between mathematics and the natural world

  • Contains more than 600 illustrations, many in color


Table of contents

  1. Front Matter
    Pages i-vi
  2. Georg Glaeser
    Pages 1-6
  3. Georg Glaeser
    Pages 7-66
  4. Georg Glaeser
    Pages 67-118
  5. Georg Glaeser
    Pages 119-174
  6. Georg Glaeser
    Pages 175-236
  7. Georg Glaeser
    Pages 237-296
  8. Georg Glaeser
    Pages 297-366
  9. Georg Glaeser
    Pages 367-436
  10. Georg Glaeser
    Pages 437-500
  11. Back Matter
    Pages 501-562

About this book


In this book, topics such as algebra, trigonometry, calculus and statistics are brought to life through over 500 applications ranging from biology, physics and chemistry to astronomy, geography and music.

With over 600 illustrations emphasizing the beauty of mathematics, Math Tools complements more theoretical textbooks on the market, bringing the subject closer to the reader and providing a useful reference to students. By highlighting the ubiquity of mathematics in practical fields, the book will appeal not only to students and teachers, but to anyone with a keen interest in mathematics and its applications.


applied mathematics differential calculus application integral calculus application fibonacci numbers functions statistics math vector analysis applications probability calculus maths and science maths and biology maths and proportions maths and arts maths and music MSC: 00Axx, 53Axx, 62-XX, 97U20

Authors and affiliations

  1. 1.Department of GeometryUniversity of Applied Arts ViennaViennaAustria

About the authors

​Georg Glaeser received his PhD and habilitation in geometry from the Vienna University of Technology. Since 1998, he has been full professor of geometry at the University of Applied Arts Vienna. He is a passionate natural photographer and the author and coauthor of more than a dozen books on geometry, mathematics, computational geometry, computer graphics, photography, and several books about evolution.

Bibliographic information

Industry Sectors
Finance, Business & Banking


“Glaeser's offering is essentially an encyclopedia of applied mathematics problems. … useful resource for anyone searching for interesting applications of various topics in elementary mathematics. … Recommended. Lower-division undergraduates, faculty, and general readers.” (D. S. Larson, Choice, Vol. 55 (11), July, 2018)

“The book is clearly written and is a valuable source for interested readers. This volume is warmly recommended to the graduate students. … Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, mathematical physics, and applied analysis. The clarity and breadth of this book make it a welcome addition to the personal library of every mathematician.” (Teodora-Liliana Rădulescu, zbMATH 1386.00002, 2018)

“All materials are given in a very concise and precise form, showing amazing findings of human mind and offering a fascinating and enjoyable reading … . The book serves to popularization of mathematics among students and can be very interesting and useful to professional researchers as well.” (Stan Lipovetsky, Technometrics, Vol. 60 (2), 2018)