@book {MATHEDUC.06062408,
author = {Arens, Tilo and Busam, Rolf and Hettlich, Frank and Karpfinger, Christian and Stachel, Hellmuth},
title = {Basic knowledge for the study of mathematics. Analysis and linear algebra with cross connections. With contributions by Klaus Lichtenegger. (Grundwissen Mathematikstudium. Analysis und Lineare Algebra mit Querverbindungen.)},
year = {2013},
isbn = {978-3-8274-2308-5},
pages = {xii, 1172~p.},
publisher = {Heidelberg: Springer Spektrum},
doi = {10.1007/978-3-8274-2309-2},
abstract = {This course is very useful for obtaining a basic knowledge in mathematics. In 1172 pages (26 chapters), the authors cover the main part of analysis and linear algebra. This book impresses by the form of its presentation. The introduced notions are doubled by numerical examples, or some small applications, in order to obtain a good understanding. The book deals with notions of set theory, logic, algebraic structures (groups, rings, fields, homomorphisms), sets of real numbers, linear systems, vector spaces, analytic geometry, sequences (convergence), continuous functions, matrices, determinants, differentials and integrals. The exercises and problems attached are firstly solved by indications, then complete solutions are provided.},
reviewer = {Cristinel Mortici (T\^argovi\c{s}te)},
msc2010 = {I15xx (H15xx A15xx)},
identifier = {2014b.00623},
}