SAMPLES of the following books may be downloaded for FREE

Books from
GB Publishing

These books are available in retail at www.amazon.com and at www.amazon.co.uk.

Distributors and book shops may order directly from the publisher in batches of at least ten units, comprising at most three different titles. Please contact info@gbpublishing.se for net prices.

Books that demystify
algebra, statistics, calculus,
and differential equations.

Must you learn mathematics as in the 1800s ?
Teach yourself algebra and calculus -- and learn to use MATLAB^®at the same time!

You may download samples of the following books for FREE.

Simple Mathematics Using Student Editions of MATLAB^®
by Gunnar Backstrom, PhD
Paperback edition (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 once made by professional mathematicians may now be taken for granted, and if you only want to make practical use of math you can permit yourself a shortcut. Trust the verifications of generations of mathematicians and proceed directly to numerical tests, involving only the well-known rules of arithmetic. This is the goal of the present book, which confers understanding of both algebra and various branches of 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 $100. 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 CDs now exist in the world, to be borrowed or purchased second-hand.

The Student Version of MATLAB is not limited to numeric calculations, however. The present textbook first submits sections of the mathematical theory to verifications by straight-forward computation, but then it proceeds to symbolic verification by methods that are similar to those used by professional mathematicians, only the difficult details are hidden.

Of course, this book may also be used with the professional MATLAB program, if it includes the Symbolic Math Toolbox.

The MATLAB software 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 college mathematics.
The examples involved thus run under the MATLAB versions 5, 6 and 7.

Read a review of a previous edition by a British mathematician

Read a review from Internationale Mathematishe Nachrichten (Nr. 193, 2003)

Download the first 11 chapters of the book (including the table of contents).

This book may be obtained from amazon.com or amazon.co.uk

Scandinavians can also order it from Adlibris

Distributors and bookshops, please contact info@gbpublishing.se for net prices.

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 free on the web.

FlexPDE^®is a finite-element program, written in C language for Windows and other operating systems. The Student Version is free on the web. This program is simple to use and has a built-in 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 of FlexPDE is FREE!
You can download this software directly from here --
and then start solving examples from the following two books.

Click to download FlexPDE5s

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 an ordinary PC by finite element analysis.

The present book is unique in its approach. It is not another volume on conceivable algorithms of FEA. Its main purpose is to exploit the 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 numerical program FlexPDE solves PDEs in seconds on a simple PC. Electrical conduction provides an example of a non-trivial PDE in (x,y). The crucial equation expresses the conservation of charge by the relation div(J)=0, where J is the current density. In our simple example the conductivity is constant in space, which effectively reduces the PDE to the Laplace equation for U. The descriptor required for the FlexPDE program takes the following evident form.

TITLE
'Constricted Rectangular Plate'
SELECT { Settings }
errlim=3e-4 ngrid=1 spectral_colors
VARIABLES
U { Potential }
DEFINITIONS
L=1.0 d=0.3 cond=5.99e7 { Copper }
Ex= -dx(U) Ey=-dy(U) E=-grad(U) Em=magnitude(E) { Field strength }
Jx=cond*Ex Jy=cond*Ey J=cond*E Jm=magnitude(J) { Current density }
EQUATIONS
div( J)=0
BOUNDARIES
region 'plate'
start 'boundary' (-L,-2*L) value( U)=0 line to (L,-2*L) { Vanishing U on bottom side }
natural( U)=0 { Insulated sides }
line to (L,-d) to (d,-d) to (d,d) to (L,d) to (L,2*L)
value( U)=1.0 line to (-L,2*L) { Potential on top side }
natural( U)=0 { Insulated sides }
line to (-L,d) to (-d,d) to (-d,-d) to (-L,-d) close
PLOTS
contour( U) surface( U) vector( E) norm surface( Em) { Contour, surface, and vector plots }
contour( Jx) painted contour( Jy) painted contour( Jm) painted
elevation( U) on 'boundary' elevation( Jm) on 'boundary' { Elevation plots }
END

The plots resulting from the above descriptor demonstrate how the field deforms on going into a narrower or a wider cross section. The figure shows the magnitude of the current density. The central part of the plate exhibits only two colored areas, and hence the magnitude of J is nearly constant there. The neighboring color extends somewhat into the constricted region, and the inner corners are points of very high field.

Simple Fields of Physics by Finite Element Analysis
by Gunnar Backstrom, PhD
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.

Entirely based on the FREE Student Version of FlexPDE^®
Comprises 125 examples, illustrated by plots. End-of-chapter exercises are included. This textbook is based on version 5 of FlexPDE..

The FlexPDE program yields plots in color, whereas the copies in the softcover book are in black-and-white. Once you have typed a problem descriptor (script), and run it,
you will obtain pictures in final quality. The e-books below, however, include color plots.

The only way of learning to use FlexPDE is to type the scripts and find out what every line means.

A "must" for physics and engineering libraries,

Download the first 7 chapters for FREE (including the table of contents).

Order single copies from amazon.com and amazon.co.uk

Scandinavians can also order it from Adlibris

Distributors and bookshops, please contact info@gbpublishing.se for net prices.

Simple Deformation and Vibration by Finite Element Analysis
by Gunnar Backstrom, PhD

Paperback edition (226 pages, sells on the web for $29.00)

Solves problems in 2D and 3D
Similar equations for vibration as for deformation
Entirely based on the FREE Student Version of FlexPDE^®

Comprises 95 examples, illustrated by plots.
End-of-chapter exercises are included.

A "must" for mechanics libraries

Click for FREE download of the first 7 chapters

Order from amazon.com or amazon.co.uk

Scandinavians can also order from Adlibris

Distributors and bookshops, please contact info@gbpublishing.se for net prices.

Books on matters
that are essential to life.

Fat and Cholesterol are GOOD for You!
by Uffe Ravnskov, MD, PhD

Did you know?

…that cholesterol is not a deadly poison, but a substance vital to the cells of all mammals?

…that your body produces three to four times more cholesterol than you eat?

…that the internal production increases when you eat only small amounts
of cholesterol and decreases when you eat large amounts?

…that heart patients haven’t eaten more saturated fat than other people?

…that stroke patients have eaten less?

…that people with low cholesterol become just as atherosclerotic as people with high?

…that high cholesterol is not a risk factor for women?

…that high cholesterol is not a risk factor for old people although by far most heart attacks

occur after age 65?

…that many of the cholesterol-lowering drugs are dangerous to your health and may shorten your life?

…that the cholesterol campaign creates immense prosperity for researchers, doctors,

medical journals, drug producers and the food industry?

Read the entire analysis!

Download the first 37 pages of this book for FREE!

Single copies of this book are available on www.amazon.com and www.amazon.co.uk

Distributors and bookshops, please contact info@gbpublishing.se for net prices.

About the Author

Uffe Ravnskov was born 1934 in Copenhagen, Denmark and graduated 1961 from the University of Copenhagen with an M.D. After having worked for seven years as a clinician he started his scientific studies at the Departments of Nephrology and Clinical Chemistry at the University Hospital in Lund , Sweden where he was awarded his PhD in 1973.

Dr. Ravnskov entered private practice as a specialist in internal medicine and nephrology in 1979 and worked as a family doctor for 21 years. At the same time and up to now he has worked as an independent researcher. He has expressed his objections against the cholesterol campaign in more than 80 critical papers and letters in the major Scandinavian and international medical journals and in a book The Cholesterol Myths, published in six languages.

Uffe Ravnskov was honoured in 1999 with the Skrabanek Award for “original contributions in the field of medical scepticism” and in 2007 with “The Leo-Huss-Walin Prize for Independent Thinking in Natural Sciences And Medicine”. He has also created and is the spokesman of THINCS, The International Network of Cholesterol Skeptics, an association of doctors, scientists, science writers and other academics, who share his view on the cholesterol campaign.

Your Wondrous Nervous System
by Gunnar Backstrom, PhD (130 pages )

This work is available as a paperback for $19

This condensed book provides facts and ideas about essential aspects of life and suggestions about how to stay healthy.

We are hardly aware of how the body works, since it manages very well on its own without our conscious control. The digestion of food and the intricate extraction of nutrients are examples of the many automatic functions that help us survive.

An extensive network of sensory nerves reports to the spinal cord and also directly to
the brain. The five basic senses: vision, hearing, taste, smell, and touch inform us of the external world.

The performance of a symphony orchestra demonstrates the unbelievable accuracy and efficiency of the nervous system. A complicated piece of music seems to stream directly from the brain of the musician to the piano or the violin.

The predominant part of our bodily pains is caused by muscular knots somewhere. Unfortunately, the pain fails to tell us where the primary cause is (referred pain).
Once the knot has been detected, however, the pain may easily be removed by deep massage.

Recently, behavioural therapies have been invented that may seem laughable in terms of their theory and practice, but they are respectable in view of the documented effects on various kinds of phobias and painful memories.

The past century provided amazing facts about evolution and the human genome, but more recent discoveries clearly show that the heritage of traits is not exclusively determined by the DNA molecule. Epi-genetics opens completely new perspectives that may lead to a medical revolution.

The following subjects occur in the table of contents.

The peripheral nervous system
Nervous control in the intestinal channel
The senses of sight, hearing, taste, smell, and touch
Super-organisms
Piano, violin, and theatrical virtuosity
Ambiguous pains in medical history
Muscular pains and trigger points (muscular knots)
Detection of knots by their tenderness
Neck, shoulder, arm, abdomen, leg, and foot pains
Deep massage techniques
How does referred pain arise?
Strength training and electro-stimulation
“Energy” medicine
Placebo effects
Cognitive behavioral therapy
Practice of “energy” psychology
Preventive medicine before invasive medicine
Biological evolution and primitive life
Natural selection among humans
Epi-genetics and the importance of nurturing
Why are we waiting when we have had enough?
Sources, including Google references for more details

Download the first 59 pages of the book for FREE .

Buy single copies of this paperback from www.amazon.com or www.amazon.co.uk.

Distributors and bookshops, please contact info@gbpublishing.se for net prices.

Pros and Cons of Democracy
by Gunnar Backstrom, PhD

Paperback edition (144 pages for $29.00).

From the table of contents:

What have we inherited?
Despotism
   Egypt and the Pharaohs
    Persian Empire
    Greek Empire
    Roman Empire
    Mongol Empire
    Soviet Empire
    Chinese Empire
    Nazi Empire
    Peoples Republic of China
    Modern China
    Why Despotism Does not Work
Parallel Empires
   Vatican Empire
    United Nations
    Bank Empires
    Media Empires
    Early Criminal Empires
    Mafia Organizations
Constitutional Monarchy
    British Empire
Democratic Systems
    Direct Democracy
    Representative Democracy
    Constitutional Democracy
    Protection against Majority Tyranny
    Liberalism and Capitalism
From Communism to Liberalism
   China
    Russia
Pressure Groups
    Campaign Aid
    Scientific Propaganda
Democracy and Pacifism
    Pacifism
    Competing Religions
    Religious Warfare
    Recent Small-Scale Warfare
Democracy Replaces Religions
The Future of Democracy
    Dynasty Tendencies
    What about the United Nations?
    The Role of Religions
    Financial Campaign Support
    Extended Votes against Majority Despotism
    “Silent” Diplomacy
From Despotism to Democracy
   Russia
    China
    Iraq
    Afghanistan
    Tunisia
    Egypt
Alternatives to Democracy?
The Future of Humankind
    Selfishness, Empathy, and Survival
    Illness and Overpopulation
    Evolution of Humankind?
    Crime and Punishment
Your Own Life?

A concentrated book about the origin, development and functioning of current democracies. The latter now have to deal with a number of global empires that exist in parallel, such as the Vatican, the United Nations and certain anonymous banks.

In a liberal democracy pressure groups tend to bypass voting by influencing the government directly. Such groups include scientists who insist on pursuing their favorite projects at astronomical costs and generals who are looking forward to the next glorious war.

A well-designed democracy replaces all religions by making humans completely responsible for themselves and their fellow beings.

Download the first 20 pages of the book for FREE .

Buy single copies of this paperback from www.amazon.com or www.amazon.co.uk.

Distributors and bookshops, please contact info@gbpublishing.se for net prices.