Math Tools

​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.

“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)

• 1 Introduction.- 2 Equations, systems of equations.- 3 Proportions and similar objects.- 4 Angles and trigonometry.- 5 Vector analysis.- 6 Functions and their derivatives.- 7 Curves and surfaces.- 8 Infinitesimal calculus.- 9 Statistics and probability calculus.- A Music and mathematics.- B Numbers.- Index.