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  • © 2017

Math Tools

500+ Applications in Science and Arts

Authors:

  • Includes numerous thought-provoking examples

  • Demonstrates the connection between mathematics and the natural world

  • Contains more than 600 illustrations, many in color

  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-vi
  2. Introduction

    • Georg Glaeser
    Pages 1-6
  3. Equations, systems of equations

    • Georg Glaeser
    Pages 7-66
  4. Proportions and similar objects

    • Georg Glaeser
    Pages 67-118
  5. Angles and trigonometry

    • Georg Glaeser
    Pages 119-174
  6. Vector analysis

    • Georg Glaeser
    Pages 175-236
  7. Functions and their derivatives

    • Georg Glaeser
    Pages 237-296
  8. Curves and surfaces

    • Georg Glaeser
    Pages 297-366
  9. Infinitesimal calculus

    • Georg Glaeser
    Pages 367-436
  10. Statistics and probability calculus

    • 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.

Reviews

“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)


Authors and Affiliations

  • Department of Geometry, University of Applied Arts Vienna, Vienna, Austria

    Georg Glaeser

About the author

​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

  • Book Title: Math Tools

  • Book Subtitle: 500+ Applications in Science and Arts

  • Authors: Georg Glaeser

  • DOI: https://doi.org/10.1007/978-3-319-66960-1

  • Publisher: Springer Cham

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

  • Copyright Information: Springer International Publishing AG 2017

  • Softcover ISBN: 978-3-319-66959-5Published: 09 October 2017

  • eBook ISBN: 978-3-319-66960-1Published: 13 September 2017

  • Edition Number: 1

  • Number of Pages: VI, 562

  • Number of Illustrations: 204 b/w illustrations, 446 illustrations in colour

  • Additional Information: English translation of the 4th German language edition, 2014

  • Topics: Mathematics, general, Mathematical and Computational Engineering, Statistics, general

Buy it now

Buying options

eBook USD 64.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access