Advanced Problems in Mathematics: Preparing for University
by Stephen Siklos
Publisher: Open Book Publishers 2016
Number of pages: 189
This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects. Each question is followed by a comment and a full solution. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.
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by Wu-ting Tsai - National Taiwan University
Contents: Series; Vector Algebra; Matrix Algebra; Vector Calculus; Complex Variables; Trigonometry; Hyperbolic Functions; Limits; Differentiation; Integration; Differential Equations; Calculus of Variations; Functions of Several Variables; etc.
by George Howe - Van Nostrand
Mathematics, from algebra through calculus, has been treated in such a manner as to be clear to anyone. Men who wish to study a part of mathematics which they have not hitherto had will find this manual just the book for which they have been looking.
by Christoph Kirsch - University of North Carolina
Topics covered: Introduction to boundary value problems for the diffusion, Laplace and wave partial differential equations; Bessel functions and Legendre functions; Introduction to complex variables including the calculus of residues.
by Jean Gallier
From the table of contents: Linear Algebra; Determinants; Basics of Affine Geometry; Polynomials, PID's and UFD's; Topology; Differential Calculus; Zorn’s Lemma and Some Applications; Gaussian elimination, LU-factoring and Cholesky-factoring.