id: 06265461
dt: b
an: 2016b.00539
au: Heldermann, Norbert
ti: Higher mathematics 2. (Höhere Mathematik 2.)
so: Berliner Studienreihe zur Mathematik 23. Lemgo: Heldermann Verlag (ISBN
978-3-88538-123-5/hbk). vii, 294~p. (2014).
py: 2014
pu: Lemgo: Heldermann Verlag
la: DE
cc: F55 I75 I55 I45 I85 H65 M45 N65
ut: complex numbers and polynomials; indefinite and definite integrals;
ordinary differential equations; parametric representation of curves;
classical vector algebra; matrix algebra; linear programming; game
theory
ci: Zbl 1254.00012; Zbl 1255.00006
li:
ab: The text is a follow-up German textbook to the textbook “Höhere
Mathematik 1" [Berliner Studienreihe zur Mathematik 21. Lemgo:
Heldermann Verlag (2012; Zbl 1254.00012)] from the same author and
publisher, but the content is mostly independent of the first book
(i.e., it can be understood with any usual preliminaries in engineering
mathematics including sequences, limits, differentiation and series and
standard high school maths). This second textbook is based on teaching
materials for lectures held by the author for students of various
non-mathematical studies (technical and economic studies). Various
standard topics are covered in this textbook: complex numbers and
polynomials, indefinite and definite integrals with geometric and
physical applications, ordinary differential equations solvable by
separation of variables and linear ordinary differential equations of
1st and 2nd order, parametric representation of curves, classical
vector algebra using coordinates, basic matrix algebra as well as
linear programming in 2 and more variables and basic game theory. In
most of the content it is a fairly standard textbook, presented in the
usual, but very clear, mathematical style (definition-theorem-example
problems), including proofs of most theorems. Still, the textbook has
several, in similar textbooks not quite common, interesting features:
the example problems are numerous and solved in great detail; the
accompanying graphics are minimalistic, but very clear and informative;
complex polynomials and curves resulting from simultaneous motions are
discussed;\dots Consequently, the textbook can be of interest not only
to lecturers in German speaking countries teaching higher mathematics
to students of technical and economic studies, but also to many others
searching for solved problems from the mentioned topics.
rv: Franka Miriam Brueckler (Zagreb)