GB Publishing
(Gunnar.Backstrom@physics.umu.se )
Books that demystify
algebra, statistics, calculus,
and partial differential equations
Must you learn
mathematics as in the 1800s ?
Teach yourself by MATLAB®!
(209 pages, sells
on the web for $19.00)
Undergraduate mathematics is difficult mainly because it is presented in the form of derivations and proofs. These impressive underpinnings made by professional mathematicians may now be taken for granted, and if you only want to make practical use of the theory you may use a shortcut. Trust the verifications of generations of mathematicians and proceed directly to applications, involving only the well-known rules of arithmetic. This is the goal of the present book, which also confers understanding of both algebra and calculus.
The Student Versions of MATLAB may be ordered from MathWorks Inc. by colleges and universities, which in turn can sell CDs to their students, or simply give them away. The full price is around $75. These educational versions are practically identical to the professional MATLAB program, and the restrictions are of no importance in undergraduate work. An enormous number of MATLAB Student Versions now exist in the world, to be borrowed or purchased second-hand.
Of course, the Professional MATLAB program may also be used, if it
includes the Symbolic Math Toolbox.
The MATLAB program evolves regularly , and every two years or so there is a new
version number. Fortunately, the enhancements do not concern the elementary
functions and procedures used in first-year mathematics. The author of this book
has verified that the examples involved run under the versions 5, 6 and 7. In
the recent revision R2009a, only the first example on p.107 does not run (a
problem with the Symbolic Toolbox that will no doubt be fixed by Mathworks Inc.)
Review
of a previous edition by a British mathematician
Rightclick
to read a review in
Internationale Mathematishe
Nachrichten (Nr. 193, 2003)
This book may be obtained from www.Amazon.com,
Amazon.ca,
Amazon.co.uk,
Amazon.de,
Amazon.fr,
and Amazon.co.jp.
Scandinavians can also order it through www.adlibris.com (178 SEK) .
Booksellers: Please order from www.ingrambook.com in the US
Without committing yourself you may test the first 11 chapters and
view the Table of Contents,.
Download the first 11 chapters of the above book (including table of contents).
Right-click
here for FREE download. Then
choose Save Target As.
Do you have difficulties with
partial
differential equations?
Partial differential
equations (PDEs) predict how fields vary in space and time, and they are hence
of critical importance in physics and engineering. In spite of this
central role, PDEs have not yet received the attention they deserve in college
curricula. This is because very few exact solutions exist and numerical
solutions are cumbersome, to the extent that the latter are taught within
separate academic disciplines, such as Applied Mathematics, Numerical Analysis,
or Computation. These disciplines focus on numerical methods rather than actual
solutions and are accordingly of little practical value to scientists and
engineers.
The last decade brought software for solving PDEs with various boundary
conditions. One such program may now be downloaded for FREE on the web, and the
user only needs superficial knowledge of how solutions are generated internally.
This program is exploited in the following self-instructional books. Samples
from these books are also free on the web.
A program available on the web solves PDEs in seconds on a
simple PC. FlexPDE® is a finite-element program, written in C
language for Windows 98 and later platforms. This program is simple to use and has a built-in
text editor.
It constitutes a powerful tool for teaching classical fields, which are
notoriously difficult parts of the physics curriculum. Electro- and
magnetostatics are examples of fields that are now easily accessible to
numerical analysis. Heat transfer, electromagnetic waves, wave mechanics,
elastic deformation and vibration, and liquid flow are other examples.
The
Student Version
5 of FlexPDE is FREE!
You can download the
software below and start solving examples from the following book.
Download the student
version from www.pdesolutions.com/v5student.html
Simple
Fields of Physics by Finite Element Analysis
by Gunnar Backstrom, PhD
Entirely
based
on the FREE
Student Version of FlexPDE®
This
paperback
edition (311 pages)
sells on the web for $29.00.
Applications to Electricity,
Magnetism, Heat Transport, Electromagnetic Waves, Wave Mechanics, and Viscous
Flow in 2D and 3D.
Have you ever solved a partial
differential equation ?
The laws of physics may be transformed
mathematically into second-order partial differential equations (PDEs). The
simplest one of this type is
known as the Laplace equation. This governs the distribution of gravitation in
free space. Other PDEs, for the electric and magnetic fields etc., are similar
but somewhat more complicated.
Few of these equations have exact solutions, which explains why they do not receive the attention they deserve in the academic curriculum. Only in recent years has it become possible to solve PDEs numerically on a PC by finite element analysis (FEA).
The present book is unique in its approach. It is not another
volume on conceivable algorithms of FEA. Its main purpose is to exploit a free
web program for dealing with PDEs occurring in physics. This program solves a
typical example in seconds and promptly presents the results graphically by a
variety of plots.
The book comprises 125
examples, illustrated by plots. End-of-chapter exercises are included.
The FlexPDE program yields plots in color, whereas the illustrations in the above book are in black-and-white. Once you have typed a problem descriptor (script) and run it, however, you will obtain pictures in final quality. The only way of learning to use FlexPDE is to type the scripts and find out what every line means. There is also an e-book version from www.ebookomatic.com, where you find color plots in the text.
If you prefer the paperback, click here
to obtain a selection of scripts that you can run immediately on FlexPDE.
A "must" for
physics and engineering libraries
ISBN: 9197555304 CONTENTS
Rightclick to Download the first 7 chapters of the book (including table of contents).
Order: from
www.Amazon.com
- Amazon.co.uk
- Amazon.de
- Amazon.fr - Amazon.ca
- Amazon.co.jp
Scandinavians
can also order it through www.adlibris.com (268 kr)
Booksellers:
Please order from www.ingrambook.com
in the US
More books on www.LearnByProgramming.com