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Leif Mejlbro / Author


About me
<em>Leif Mejlbro</em> was educated as a mathematician at the <em>University of Copenhagen</em>, where he wrote his thesis on <em>Linear Partial Differential Operators and Distributions</em>. Shortly after he obtained a position at the <em>Technical University of Denmark</em>, where he remained until his retirement in 2003. He has twice been on leave, first time one year at the <em>Swedish Academy, Stockholm</em>, and second time at <em>the Copenhagen Telephone Company</em>, now part of the <em>Danish Telecommunication Company</em>, in both places doing research. At the <em>Technical University of Denmark</em> he has during more than three decades given lectures in such various mathematical subjects as <em>Elementary Calculus, Complex Functions Theory, Functional Analysis, Laplace Transform, Special Functions, Probability Theory</em> and <em>Distribution Theory</em>, as well as some courses where <em>Calculus</em> and various <em>Engineering Sciences</em> were merged into a bigger course, where the lecturers had to cooperate in spite of their different background. He has written textbooks to many of the above courses. His research in <em>Measure Theory</em> and <em>Complex Functions Theory</em> is too advanced to be of interest for more than just a few specialist, so it is not mentioned here. It must, however, be admitted that the philosophy of <em>Measure Theory</em> has deeply in uenced his thinking also in all the other mathematical topics mentioned above. After he retired he has been working as a consultant for engineering companies { at the latest for the <em>Femern Belt Consortium</em>, setting up some models for chloride penetration into concrete and giving some easy solution procedures for these models which can be applied straightforward without being an expert in <em>Mathematics</em>. Also, he has written a series of books on some of the topics mentioned above for the publisher <em>Ventus/Bookboon</em>.
Books I've Written

Calculus 2b - Real Functions in Several Variables

Gratis compendium voor Calculus 2b, reële vergelijkingen met meerdere variabelen, voorbeelden van mimimum en maximum integratie en vector analyse, in het Engels. This book requires knowledge of...

Complex Functions Examples c-9

This is the ninth textbook you can download containing examples from the Theory of Complex Functions. We shall here treat the important <em>Argument Principle</em>, which e.g. is applied in...

Complex Functions Examples c-8

This is the eighth textbook you can download containing examples from the Theory of Complex Functions. In this volume we show how we can apply the calculations of residues in connection with some...

Complex Functions Examples c-7

This is the seventh textbook you can download containing examples from the Theory of Complex Functions. In this volume we shall apply the calculations or residues in computing special types of...

Complex Functions Examples c-6

This is the sixth textbook you can download containing examples from the Theory of Complex Functions. In this volume we shall consider the rules of calculations or residues, both in finite...

Examples of Differential Equations of Second...

Here follows a book with the continuation of a collection of examples from Ventus: Calculus 4c-1, Systems of differential systems.

Complex Functions Examples c-5

This is the fifth textbook you can download containing examples from the Theory of Complex Functions. In this volume we shall consider the Laurent series and their relationship to the general...

Complex Functions Examples c-4

This is the fourth textbook you can download containing examples from the Theory of Complex Functions. In this book we shall only consider complex power series and their relationship to the general...

The Laplace Transformation I – General Theory

The Laplace Transformation I – General Theory is one of the great eBooks available to download from our website. There are more than 500 Textbooks, Business Books & Travel Guides in our book...

Stability, Riemann Surfaces, Conformal Mappings

Stability, Riemann Surfaces, Conformal Mappings is one of the great eBooks available to download from our website. There are more than 500 Textbooks, Business Books & Travel Guides in our book...

Calculus of Residua

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...

Elementary Analytic Functions

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...

Complex Functions Theory c-11

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...

Complex Functions Examples c-2

This is the second textbook you can download, containing examples from the Theory of Complex Functions. There will also be examples of complex functions, complex limits and complex line...

Examples of Systems of Differential Equations...

In this book we present a collection of examples of general systems of linear differential equations and some applications in Physics and the Technical Sciences.

Linear algebra c-4

This textbook provides a comprehensive collection of examples of the topics of <em>Quadratic equations in two and three variables</em>, including <em>Conic sections, Surfaces of conic sections...

Examples of Eigenvalue Problems

In this book we present a collection of examples of eigenvalue problems.

Linear algebra c-3

This textbook provides a comprehensive collection of examples of the topics of <em>Eigenvalue problems, Systems of differential equations and Euclidean vector spaces</em>.<br /> The reader will...

Complex Functions c-1

In this textbook you find examples from the Theory of Complex Functions.

Linear algebra c-2

This textbook provides a comprehensive collection of examples of the topics of <em>iGeometrical vectors, Vector spaces and Linear maps</em>.<br /> The reader will obtain the necessary routine of...

Examples of Fourier series

In this book we present a collection of examples of applications of the theory of Fourier series.

Linear algebra c-1

This textbook provides a comprehensive collection of examples of the topics of <em>Linear equations, Matrices and Determinants.</em><br /> The reader will obtain the necessary routine of handling...

Fourier Series and Systems of Differential...

A book with "Guidelines for Solutions of Problems".

Stochastic Processes 2

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...

Complex Functions Examples c-3

This is the third textbook containing examples from the Theory of Complex Functions. Some of the topics are examples of elementary analytic functions, like polynomials, fractional functions...

Stochastic Processes 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...

Complex Functions Theory c-12

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...

Analytic Aids

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...

Examples of Applications of The Power Series...

A book with a collection of examples of how to solve linear differential equations with polynomial coefficients by the method of power series.

Continuous Distributions

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...

Examples of Power Series

In this book you find a collection of general examples of power series.

Discrete Distributions

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...

Examples of General Elementary Series

A book with a collection of examples of general, elementary series.

Random variables III

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...

Examples of Sequences

Book Calculus 3c-1 - Examples of Sequences

Random variables II

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...

Sequences and Power Series

A book with 'Guidelines for Solutions of Problems'. The book is in English.

Random variables I

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...

Real Functions of Several Variables - Nabla...

Book Calculus 2c-10 - Real Functions in Several Variables - Examples of Nabla Calculus, Vector Potentials, Green’s Identities and Curvilinear Coordinates, Electromagnetism and Various other types

Introduction to Probability

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...

Real Functions of Several Variables - Applicati...

Book Calculus 2c-9 - Real Functions in Several Variables - Examples of Applications of Gauß’s and Stokes’s Theorems and Related Topics

Real Functions of Several Variables - Surface...

Book Calculus 2c-8 - Real Functions in Several Variables - Examples of Surface Integrals

Real Functions of Several Variables - Line Int...

Book Calculus 2c-7 - Real Functions in Several Variables - Examples of Line Integrales

Real Functions of Several Variables - Space Int...

Book Calculus 2c-6 - Real Functions in Several Variables - Examples of Space Integrals

Real Functions of Several Variables - Plane Int...

Book Calculus 2c-5 - Real Functions in Several Variables - Examples of Plane Integrals

Real Functions of Several Variables - Max. and Min

Book Calculus 2c-4 - Real Functions in Several Variables - Examples of Maximum and Minimum

Real Functions of Several Variables - Tangents...

Book Calculus 2c-3 - Real Functions in Several Variables - Examples of Tangents to Curves, Tangent Planes to Surfaces Elementary Integrals Extrema

Real Functions of Several Variables - Descriptio..

Book Calculus 2c-2 - Real Functions in Several Variables - Examples of Description of Surfaces Partial Derivatives, Gradient, Directional Derivative and Taylor’s Formula

Real Functions of Several Variables - Basic Con...

Book Calculus 2c-1 - Real Functions of Several Variables - Examples of Basic Concepts, Examination of Functions, Level Curves and Level Surfaces, Description of Curves

Real Functions of Several Variables - Max, Vect...

A book concerning Calculus 2c - Real Functions in Several Variables, Examples of Maximum and Minimum Integration and Vector Analysis

Real Functions of Several Variables - Guidelines..

A book concerning Calculus 2b - Real Functions in Several Variables.

Real Functions of Several Variables - Maximum...

A book concerning calculus 2b - Real Functions in Several Variables, Examples of Maximum and Minimum Integration and Vector Analysis

Calculus 2a - Real Functions in Several Variables

A book concerning Calculus 2a - Real Functions in Several Variables.

Real Functions in One Variable - Taylor's...

Book with examples of Taylor’s Formula and Limit Processes

Real Functions in One Variable - Simple 2...

A book with 'Examples of Simple Differential Equations II'.

Real Functions in One Variable - Simple 1...

A book with 'Examples of Simple Differential Equations I'.

Real Functions in One Variable

Most students already have assigned textbooks when studying Calculus I, therefore this book takes a different approach to Calculus. It focuses primarily on explaining the central theories and warns...

Integral Operators

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...

Spectral Theory

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...

Hilbert Spaces and Operators on Hilbert Spaces

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...

Topological and Metric Spaces, Banach Spaces...

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...

Global Analysis

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...

Methods for finding Zeros in Polynomials

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...

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