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Introduction
The topic of this course is the application of mathematics to physical problems In practice
mathematics and physics are taught separately Despite the fact that education in physics
relies on mathematics it turns out that students consider mathematics to be disjoint
from physics Although this point of view may strictly be correct it re ects an erroneous
opinion when it concerns an education in physics or geophysics The reason for this is that
mathematics is the only language at our disposal for quantifying physical processes One
cannot learn a language by just studying a textbook In order to truly learn how to use a
language one has to go abroad and start using a language By the same token one cannot
learn how to use mathematics in physics by just studying textbooks or attending lectures
the only way to achieve this is to venture into the unknown and apply mathematics to
physical problems
It is the goal of this course to do exactly that
a number of problems is presented
in order to apply mathematical techniques and knowledge to physical concepts These
examples are not presented as welldeveloped theory Instead these examples are presented
as a number of problems that elucidate the issues that are at stake In this sense this
book o ers a guided tour
material for learning is presented but true learning will only
take place by active exploration
Since this book is written as a set of problems you may frequently want to consult
other material to refresh or deepen your understanding of material In many places we
will refer to the book of Boas In addition the books of Butkov and Arfken are
excellent When you are a physics of geophysics student you should seriously consider
buying a comprehensive textbook on mathematical physics it will be of great bene
t to
you
In addition to books colleagues either in the same
eld or other
elds can be a great
source of knowledge and understanding Therefore don t hesitate to work together with
others on these problems if you are in the fortunate positions to do so This may not
only make the work more enjoyable it may also help you in getting unstuck at di cult
moments and the di erent viewpoints of others may help to deepen yours
This book is set up with the goal of obtaining a good working knowledge of mathe
matical geophysics that is needed for students in physics or geophysics A certain basic
knowledge of calculus and linear algebra is needed for digesting the material presented
here For this reason this book is meant for upperlevel undergraduate students or lower
level graduate students depending on the background and skill of the student
CHAPTER INTRODUCTION
At this point the book is still under construction
New sections are reg
ularly added and both corrections and improvements will be made
If you
are interested in this material therefore regularly check the latest version at
Samizdat Press
The feedback of both teachers and students who use this
material is vital in improving this manuscript please send you remarks to
The topic of this course is the application of mathematics to physical problems In practice
mathematics and physics are taught separately Despite the fact that education in physics
relies on mathematics it turns out that students consider mathematics to be disjoint
from physics Although this point of view may strictly be correct it re ects an erroneous
opinion when it concerns an education in physics or geophysics The reason for this is that
mathematics is the only language at our disposal for quantifying physical processes One
cannot learn a language by just studying a textbook In order to truly learn how to use a
language one has to go abroad and start using a language By the same token one cannot
learn how to use mathematics in physics by just studying textbooks or attending lectures
the only way to achieve this is to venture into the unknown and apply mathematics to
physical problems
It is the goal of this course to do exactly that
a number of problems is presented
in order to apply mathematical techniques and knowledge to physical concepts These
examples are not presented as welldeveloped theory Instead these examples are presented
as a number of problems that elucidate the issues that are at stake In this sense this
book o ers a guided tour
material for learning is presented but true learning will only
take place by active exploration
Since this book is written as a set of problems you may frequently want to consult
other material to refresh or deepen your understanding of material In many places we
will refer to the book of Boas In addition the books of Butkov and Arfken are
excellent When you are a physics of geophysics student you should seriously consider
buying a comprehensive textbook on mathematical physics it will be of great bene
t to
you
In addition to books colleagues either in the same
eld or other
elds can be a great
source of knowledge and understanding Therefore don t hesitate to work together with
others on these problems if you are in the fortunate positions to do so This may not
only make the work more enjoyable it may also help you in getting unstuck at di cult
moments and the di erent viewpoints of others may help to deepen yours
This book is set up with the goal of obtaining a good working knowledge of mathe
matical geophysics that is needed for students in physics or geophysics A certain basic
knowledge of calculus and linear algebra is needed for digesting the material presented
here For this reason this book is meant for upperlevel undergraduate students or lower
level graduate students depending on the background and skill of the student
CHAPTER INTRODUCTION
At this point the book is still under construction
New sections are reg
ularly added and both corrections and improvements will be made
If you
are interested in this material therefore regularly check the latest version at
Samizdat Press
The feedback of both teachers and students who use this
material is vital in improving this manuscript please send you remarks to
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