This textbook presents a collection of interesting and sometimes original exercises for motivated students in mathematics.

Written in the same spirit as Volume 1, this second volume of Mathematical Tapas includes carefully selected problems at the intersection between undergraduate and graduate level. Hints, answers and (sometimes) comments are presented alongside the 222 “tapas” as well as 8 conjectures or open problems. Topics covered include metric, normed, Banach, inner-product and Hilbert spaces; differential calculus; integration; matrices; convexity; and optimization or variational problems.

Suitable for advanced undergraduate and graduate students in mathematics, this book aims to sharpen the reader’s mathematical problem solving abilities.

“The present volume has a very nice content written in a professional manner. This volume is suitable for advanced undergraduate and graduate students in mathematics, but it is also addressed to readers trying to evaluate their abilities to solve interesting mathematical problems.” (Teodora-Liliana Rădulescu, zbMATH 1388.00010, 2018)

Jean-Baptiste Hiriart-Urruty has substantial experience in teaching mathematics at various levels of higher education. He has written several textbooks and exercise books in English and French, including the first volume of Mathematical Tapas (Springer, 2016). The present volume is the fourth published by Springer.