id: 06062408
dt: b
an: 2014b.00623
au: Arens, Tilo; Busam, Rolf; Hettlich, Frank; Karpfinger, Christian; Stachel,
Hellmuth
ti: 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.)
so: Heidelberg: Springer Spektrum (ISBN 978-3-8274-2308-5/hbk;
978-3-8274-2309-2/ebook). xii, 1172~p. (2013).
py: 2013
pu: Heidelberg: Springer Spektrum
la: DE
cc: I15 H15 A15
ut: analysis; linear algebra; inequalities; functions; logic; sets; real
numbers; linear systems; vector space; analytic geometry; sequences;
linear applications; determinants; Riemann integral; metric spaces;
number theory; optimization
ci: Zbl 1279.00001; Zbl 1279.00003
li: doi:10.1007/978-3-8274-2309-2
ab: 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.
rv: Cristinel Mortici (Târgovişte)