Computing for Universities

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                                                                                                                                                (Gunnar.Backstrom@physics.umu.se )  

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 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.

Update example mex072e.pde

A "must" for mechanics libraries 

ISBN: 9197555320                CONTENTS            
Order :  from  Amazon.com - Amazon.co.uk - Amazon.de, - Amazon.fr - Amazon.co.jp.

Scandinavians can also order it through www.adlibris.com (268 kr) 

Booksellers: Please order from www.ingrambook.com in the US  

Download the first 7 chapters of the above book for FREE
FreeDownload. Including table of contents.

Must we learn mathematics as in the 1800s ?

Teach yourself by MATLAB^®!      yourself by MATLAB^®!     

ISBN 9197555312   

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.)

Without committing yourself you may test the first 11 chapters and view the Table of  Contents,.

Review  of a previous edition by a British mathematician

Review  in Internationale Mathematishe Nachrichten (Nr. 193, 2003)

This book may be obtained from 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  

Download the first 11 chapters of the above volume for FREE
FreeDownload     Includes a table of contents.

To read an e-book is simple:
Download the free Adobe^® Acrobat^® Reader from
www.adobe.com/products/acrobat/

Double-click on the icon for the book file *.pdf to start Acrobat Reader 5 (or later version).

View the list of contents by pushing the F5 keyboard button (or click for Bookmarks).
Toggle by F5 to view the text only.

After downloading you may print the PDF file for your personal use. 

The sections devoted to heat transport involve linear and non-linear PDEs, as well as simultaneous electric and thermal equations. Finally, there are examples of transient heat conduction and thermal waves. 

One chapter deals with electron transport in metals and semiconductors, with an application to rectification in a silicon diode. 

The last chapter addresses various 3D problems.

CONTENTS

The problems treated in this work are in the form of text files (scripts) that can be run by the FlexPDE program. All of them, except a few, are compatible with the Student Version, which may be obtained for FREE from www.pdesolutions.com.

Order (Note the option "Location: Outside the U.S.?" just above the VISA card details.)

This e-book sells on the web for $15

Waves by Finite Element Analysis  (194 pages)

Based on version 5 of FlexPDE^®.
Uses the FREE Student Version, except in a few cases.

Electromagnetic Waves and Wave Mechanics

This book explains how to solve various partial differential equations concerning electromagnetic waves, eddy fields and quantum mechanics

Includes a chapter on 3D problems

CONTENTS

The problems treated in this work are in the form of text files that can be run by the FlexPDE program. Most of the examples may be solved using the Student Version, distributed for free by  www.pdesolutions.com under Download. 

The first part is devoted to electrodynamics, and in particular to waves in one and two dimensions. Numerous examples illustrate how to exploit this convenient technique to solve oscillatory problems, even where conductivity, permittivity and permeability vary in space. Examples of transient problems are also included.

The second part of the book, which is about  wave mechanics, treats barrier penetration and bound states in one dimension, harmonic oscillators in one, two and three dimensions, in the latter case after a single- variable separation. Two chapters are devoted to the solution of the Schrödinger equation for the hydrogen atom and for the hydrogen molecule-ion.

The final chapter deals with waves in three dimensions.

A customer wrote:
"Your Ebooks are good quality, practical, and priced very reasonably.  I especially like the full color screen captures that PDF files permit."

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This e-book sells on the web for $15 
 
Deformation and Vibration by Finite Element Analysis   (225 pages)

Based on version 5 of FlexPDE^®. 
Uses the FREE Student Version, except in a few cases.

This volume is an independent treatise, which assumes no previous knowledge about finite element methods. It may be used as a teaching tool in undergraduate courses.

The text deals with displacement, strain, and stress in solids. It comprises 120 examples, many in 3D. 

CONTENTS

The problems are in the form of text files that can be run by the FlexPDE program. Most of the examples may be solved using the Student Version, distributed for FREE by  www.pdesolutions.com under Download. 

This book begins by explaining the plotting facilities of FlexPDE by simple examples. After an introduction to Laplace and Poisson equations it shows how the definitions of strain, Hooke's law, and the relations of force balance lead to 2^nd-order partial differential equations, which may be solved conveniently  by the numerical software.

The first applications are elementary, but the following chapter on beams involves an analysis of principal axes and the corresponding stresses. Forces, bending moments and energy are also obtained without effort on the part of the user.

Hooks, rings and tubes are first treated in 2D, after which there is an analysis in cylindrical coordinates and in 3D. The static analysis in (x,y) includes a discussion of torsion, warping, and thermoelastic deformation.

The dynamic analysis follows the same general pattern as the static counterpart, with the difference that the equations of equilibrium are replaced by Newton's law of motion. There are also chapters about resonant vibration, eigenvalues and eigenstates in both 2D and 3D.

Order (Note the option "Location: Outside the U.S.?" just above the VISA card details.)
After downloading the book, you may  request a set of PDE files from the author.

This e-book sells on the web for $15

Fluid Dynamics by Finite Element Analysis  (176 pages)
Based on version 5 of FlexPDE^®. 
Uses the FREE Student Version, except in a few cases.

This is the second volume on the fields of mechanics, occasionally referring to the preceding one on Deformation and Vibration. The present treatise is devoted to liquid flow in 2D and 3D. Here, the graphics tools are assumed known from previous books. 

CONTENTS

The problems studied in this work are in the form of text files that can be run by the FlexPDE program. Most of the examples may be solved using the Student Version, distributed for FREE by  www.pdesolutions.com under Download. 

The first chapter deals with simple potential flow. The second chapter extends this mode to irrotational flow with circulation around an obstacle, which may cause transverse forces. The next chapters systematically treat viscous flow in (x,y) according to the Navier-Stokes equation. An additional PDE yields the solution for the pressure and also assures a divergence-free velocity field. These principles are extended to cylindrical (r,z) and to three-dimensional coordinates (x,y,z).

The first part of this book concerns problems at small Reynolds number, but  later chapters include the terms necessary to proceed to Re>>1.

One chapter is devoted to percolation in porous materials. Such problems are solved by the simple, conventional theory as well as by an extension of the Navier-Stokes equations.

The last chapter presents an alternative formalism without a pressure equation.

Order (Note the option "Location: Outside the U.S.?" just above the VISA card details.)

A Rational System of Musical Notation

No more sharps or flats on the score!

This article (7 pages) explains how the upper, conventional line of notes may be transformed into the more rational lower one. The latter is not only easier to read but also expresses the intervals between the various tones in an intuitive fashion. Download free of charge to read and print by Acrobat 4 or later version. 

By the same publisher (GB Publishing):

Fat and Cholesterol are GOOD for You!

(Author: 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!

This book is available on www.amazon.com and www.amazon.co.uk. 

In Scandinavia you can buy it from www.adlibris.com (268 kr)

Praktisk matematik med MATLAB

Förenklad svensk upplaga   (240 sidor)  Studentlitteratur                        

Många moment är förenklade i förhållande till tidigare upplaga. Editering och körning av filer kommer inte förrän i kapitel 7, och i största allmänhet ökar svårighetsgraden mycket långsammare än i den tidigare texten. En bruksanvisning ingår numera i inledningen.

Boken är avsedd som handledning vid självständiga studier i tillämpad matematik, motsvarande första årets kurser för teknologer och naturvetare. Den kan antingen tjäna som inledning till den akademiska matematiken genom att presentera begreppen på ett slående sätt, eller som parallell konkretisering av de kurser i abstrakt matematik som normalt serveras vid högskolorna.

Texten bygger på programmet MATLAB 5, som ger unika möjligheter att utforska matematiken med ett minimum av kommandon och syntaktiska regler. Studentversionen av MATLAB (Prentice Hall), som finns att köpa i bokhandeln, är fullt tillräcklig för ändamålet. Versionen 5.3 från MathWorks Inc., som inte är kopieringsskyddad, är idealisk för grundutbildningen.

INNEHÅLL     

Svensk_ RECENSION
RECENSION  av en engelsk matematiker.

I Sverige säljs boken på  www.adlibris.com (264 kr) 

Denna e-bok kan laddas ned gratis från nätet

Vad tjänar fysik(er) till?      (170 sidor)

Högerklicka här  för gratis nedladdning (välj SaveTargetAs)

Ny metod för smärtlindring!

    Den  amerikanske massageterapeuten Clair Davis, tillsammans med dottern Amber Davies (vänstra bilden), har på ett pedagogiskt sätt presenterat en ny metod att bekämpa smärtor, som går ut på att söka upp och behandla roten till det onda.   
    Deras bok har översatts till svenska av Gunnar Bäckström (högra bilden), som givit ut den på eget förlag (GB Publishing) under titeln Massera själv bort dina smärtor!

  Har du                        någonstans ?

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Cyniska tankar om samhället (265 sidor)

Denna bok innehåller ett 70-tal utvalda artiklar som tämligen väl faller inom ramen för  titeln. De flesta har varit publicerade i dagspressen, ibland i flera tidningar. 

Ordet cynisk används här i den vardagliga meningen uppriktig, kallt genomskådande, illusionslös.

Denna e-bok kan laddas ned gratis från nätet 

Cyniska tankar om utbildning
diskuterar ett antal märkliga anomalier i det svenska utbildningssystemet.

INNEHÅLL   (220 sidor)                SAMMANFATTNING

Texten kan läsas med Adobe Acrobat 4 eller senare version, som fås gratis från www.adobe.com/products/acrobat/.

Högerklicka här  för gratis nedladdning (välj SaveTargetAs)