Here we collect all tables of contents of all the books on mathematics I have written so far for the publisher.
In the rst list the topics are grouped according to their headlines, so the reader quickly can get an idea of
where to search for a given topic.In order not to make the titles too long I have in the numbering added
a for a compendium
b for practical solution procedures (standard methods etc.)
c for examples.
an one learn linear algebra solely by solving problems? Paul Halmos thinks so, and you will too once you read this book. The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book is a marvelous example of how...
Lecture "Linear algebra - Chapter 4: Vector space" provides learners with the knowledge: Definition and examples, linear independence, rank of vectors, basic and dimension, subspaces. Invite you to refer to the disclosures.
Lecture "Linear algebra - Chapter 5: Linear transformation" provides learners with the knowledge: Definition and examples, the Kernel and Image of linear transformation, the Matrix of a linear transformation, the Matrix of a linear transformation, similarity. Invite you to refer to the disclosures.
There are many books on linear algebra, in which many people are really great
ones (see for example the list of recommended literature). One might think that one does
no books on this subject. Choose a person's words more carefully, it
can deduce that this book contains everything needed and the best
possible, and so any new book, just repeat the old ones.
This idea is evident wrong, but almost everywhere.
New results in linear algebra and are constantly appearing so refreshing, simple and
neater proof of the famous theorem.
Beginning and Intermediate Algebra was designed to reduce textbook costs to students while not reducing the quality of materials. This text includes many detailed examples for each section along with several problems for students to practice and master concepts. Complete answers are included for students to check work and receive immediate feedback on their progress.
Wavelets in Boundary Integral Equations
Numerical treatment of integral equations can be found in classic books [1, 2]. In this chapter the integral equations obtained from ﬁeld analysis of electromagnetic wave scattering, radiating, and guiding problems are solved by the wavelet expansion method [3–7]. The integral equations are converted into a system of linear algebraic equations. The subsectional bases, namely the pulses or piecewise sinusoidal (PWS) modes, are replaced by a set of orthogonal wavelets.
Sophisticated engines could not even happen until Maxwell’s use of dif-
ferential equations in order to stop the engines of that time from ﬂying apart,
stopping, or oscillating wildly, so the mathematics here starts with advanced
calculus. Today’s engines are far more sophisticated. Their designs require
the solutions of complex non-linear partial diﬀerential equations and very
advanced work with linear algebra.
Today a major focus is on autonomous machines, machines that can do
routine and even non-routine tasks without human control.