
06549346
b
2016d.00494
Lepetic, Vladimir
Principles of mathematics. A primer.
Hoboken, NJ: John Wiley \& Sons (ISBN 9781119131649/hbk; 9781119131694/ebook). xiii, 654~p. (2016).
2016
Hoboken, NJ: John Wiley \& Sons
EN
E35
E45
H65
H45
I25
H35
E65
introductory mathematics
linear algebra
group theory
logic
functions
sets
The first four chapters of the book cover a general introduction into mathematics. The chapters are: Set theory, Logic, Proofs and Functions. The themes are treated rather deeply. For instance the chapter on sets also covers the integers, the rational numbers and the reals and even transfinite numbers. The first chapter comes quickly into a discussion of set theoretic problems and the G{\"o}del theorems. Chapter 5 is on group theory. It covers the first steps into group theory as normal subgroups and the isomorphism theorems. An introduction into linear algebra is given in Chapter 6 consisting of nearly 200 pages. Standard material is covered here such as basis, linear transformations, the general linear group, systems of linear equations, determinants and eigenvalues. The book has many examples and exercises to help the reader. There are no prerequisites necessary in order to start reading. Nevertheless some parts are quite abstract to read.
Stephan Rosebrock (Karlsruhe)