This textbook provides a coherent introduction to the main concepts and methods of one-parameter statistical inference. Intended for students of Mathematics taking their first course in Statistics, the focus is on Statistics for Mathematicians rather than on Mathematical Statistics. The goal is not to focus on the mathematical/theoretical aspects of the subject, but rather to provide an introduction to the subject tailored to the mindset and tastes of Mathematics students, who are sometimes turned off by the informal nature of Statistics courses. This book can be used as the basis for an elementary semester-long first course on Statistics with a firm sense of direction that does not sacrifice rigor. The deeper goal of the text is to attract the attention of promising Mathematics students.
Truly recommand this series to undergraduate maths students and physics students. As the series name "Compact" indicates, every book contained is short but covers the main material needed. It is obviously not a "deep" one for its topic but definitely a clear and pleasant one by giving both lots of examples and rigorous proofs. It shows you the basic and maybe the most important ideas and tastes about its topic and will save your time when meeting a new field.
Too terse, the focus is too much on the mathematical background instead of first bringing intuition to the reader. Definitely a bad book as a 'first course'