Linear algebra c-3: the eigenvalue problem and euclideam vector space

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.) e for examples. The ideal situation would of course be that all major topics were supplied with all three forms of books, but this would be too much for a single man to write within a limited time. After the rst short review follows a more detailed review of the contents of each book. Only Linear Algebra has been supplied with a short index. The plan in the future is also to make indices of every other book as well, possibly supplied by an index of all books. This cannot be done for obvious reasons during the rst couple of years, because this work is very big, indeed. It is my hope that the present list can help the reader to navigate through this rather big collection of books. Finally, since this list from time to time will be updated, one should always check when this introduction has been signed. If a mathematical topic is not on this list, it still could be published, so the reader should also check for possible new books, which have not been included in this list yet. Unfortunately errors cannot be avoided in a rst edition of a work of this type. However, the author has tried to put them on a minimum, hoping that the reader will meet with sympathy the errors which do occur in the text

Auteur
Mejlbro,Leif
Sujet
Linear algebra; Eigenvalue Problem; Euclideam Vector Space; Quadratic forms; Systems of differential equations

Linear algebra c-2: geometrical vectors, vector spaces and linear maps

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.) e for examples. The ideal situation would of course be that all major topics were supplied with all three forms of books, but this would be too much for a single man to write within a limited time. After the rst short review follows a more detailed review of the contents of each book. Only Linear Algebra has been supplied with a short index. The plan in the future is also to make indices of every other book as well, possibly supplied by an index of all books. This cannot be done for obvious reasons during the rst couple of years, because this work is very big, indeed. It is my hope that the present list can help the reader to navigate through this rather big collection of books. Finally, since this list from time to time will be updated, one should always check when this introduction has been signed. If a mathematical topic is not on this list, it still could be published, so the reader should also check for possible new books, which have not been included in this list yet. Unfortunately errors cannot be avoided in a rst edition of a work of this type. However, the author has tried to put them on a minimum, hoping that the reader will meet with sympathy the errors which do occur in the text.

Auteur
Mejlbro,Leif
Sujet
Linear algebra: Geometrical Vectors; Vector Spaces; Linear Maps

Random variables I: probability examples c-2

This is the second book of examples from the Theory of Probability. This topic is not my favourite, however, thanks to my former colleague, Ole Jørsboe, I somehow managed to get an idea of what it is all about. The way I have treated the topic will often diverge from the more professional treatment. On the other hand, it will probably also be closer to the way of thinking which is more common among many readers, because I also had to start from scratch. The topic itself, Random Variables, is so big that I have felt it necessary to divide it into three books, of which this is the first one. We shall here deal with the basic stuff, i.e. frequencies and distribution functions in 1 and 2 dimensions, functions of random variables and inequalities between random. variables, as well as means and variances. The prerequisites for the topics can e.g. be found in the Ventus: Calculus 2 series, so I shall refer the reader to these books, concerning e.g. plane integrals. Unfortunately errors cannot be avoided in a first edition of a work of this type. However, the author has tried to put them on a minimum, hoping that the reader will meet with sympathy the errors which do occur in the text.

Auteur
Mejlbro,Leif
Sujet
Functions of random variables; Random variables; Theory of Probability; Calculus 2 series

Linear algebra c-4: quadratic equations in two or three variables

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.) e for examples. The ideal situation would of course be that all major topics were supplied with all three forms of books, but this would be too much for a single man to write within a limited time. After the rst short review follows a more detailed review of the contents of each book. Only Linear Algebra has been supplied with a short index. The plan in the future is also to make indices of every other book as well, possibly supplied by an index of all books. This cannot be done for obvious reasons during the rst couple of years, because this work is very big, indeed. It is my hope that the present list can help the reader to navigate through this rather big collection of books Finally, since this list from time to time will be updated, one should always check when this introduction has been signed. If a mathematical topic is not on this list, it still could be published, so the reader should also check for possible new books, which have not been included in this list yet. Unfortunately errors cannot be avoided in a rst edition of a work of this type. However, the author has tried to put them on a minimum, hoping that the reader will meet with sympathy the errors which do occur in the text.

Auteur
Mejlbro,Leif
Sujet
Linear algebra; Quadratic; Conic Sections; Conical surfaces

Linear algebra c-1: linear equations, matrices and determinants

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.) e for examples. The ideal situation would of course be that all major topics were supplied with all three forms of books, but this would be too much for a single man to write within a limited time. After the rst short review follows a more detailed review of the contents of each book. Only Linear Algebra has been supplied with a short index. The plan in the future is also to make indices of every other book as well, possibly supplied by an index of all books. This cannot be done for obvious reasons during the rst couple of years, because this work is very big, indeed. It is my hope that the present list can help the reader to navigate through this rather big collection of books. Finally, since this list from time to time will be updated, one should always check when this introduction has been signed. If a mathematical topic is not on this list, it still could be published, so the reader should also check for possible new books, which have not been included in this list yet. Unfortunately errors cannot be avoided in a rst edition of a work of this type. However, the author has tried to put them on a minimum, hoping that the reader will meet with sympathy the errors which do occur in the text.

Auteur
Mejlbro,Leif
Sujet
Linear algebra; Linear equations; Matrices; Determinants

Random variables III: probability examples c-4

This is the second book of examples from the Theory of Probability. This topic is not my favourite, however, thanks to my former colleague. Ole Jorsboe, I somehow managed to get an idea of what it is all about. The way I have treated the topic will often diverge from the more professional treatment. On the other hand, it will probably also be closer to the way of thinking which is more common among many readers, because I also had to start from scratch. The topic itself, Random Variables, is so big that I have felt it necessary to divide it into three books, of which this is the first one. We shall here deal with the basic stuff, i.e. frequencies and distribution. functions in 1 and 2 dimensions, functions of random variables and inequalities between random variables, as well as means and variances. The prerequisites for the topics can e.g. be found in the Ventus: Calculus 2 series, so I shall refer the reader to these books, concerning e.g. plane integrals. Unfortunately errors cannot be avoided in a first edition of a work of this type. However, the author has tried to put them on a minimum, hoping that the reader will meet with sympathy the errors which do occur in the text.

Auteur
Mejlbro,Leif
Sujet
Basic mathematics; Conditional distributions; The correlation coecient

Random variables II: probability examples c-3

This is the third book of examples from the Theory of Probability. This topic is not my favourite, however, thanks to my former colleague, Ole Jorsboe, I somehow managed to get an idea of what it is all about. The way I have treated the topic will often diverge from the more professional treatment. On the other hand, it will probably also be closer to the way of thinking which is more common among many readers, because I also had to start from scratch. The topic itself, Random Variables, is so big that I have felt it necessary to divide it into three books, of which this is the second one. We shall here continue the study of frequencies and distribution functions in 1 and 2 dimensions, and consider the correlation coefficient. We consider in particular the Poisson distribution. The prerequisites for the topics can e.g. be found in the Ventus: Calculus 2 series, so I shall refer the reader to these books, concerning e.g. plane integrals. Unfortunately errors cannot be avoided in a first edition of a work of this type. However, the author has tried to put them on a minimum, hoping that the reader will meet with sympathy the errors which do occur in the text.

Auteur
Mejlbro,Leif
Sujet
Random variables II; Law of total probability; Correlation coefficient and skewness

Introduction to probability: probability examples c-1

'In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.
Topics as Elementary probability calculus, density functions and stochastic processes are illustrated.
This book requires knowledge of Calculus 1 and Calculus 2.

Auteur
Mejlbro,Leif
Sujet
Mathematics and Statistics; Statistics and Probability; Probability