The goal of this book is to describe, from my point of view, the most
powerful methods for evaluating multiloop Feynman integrals that are
currently used in practice.  This book supersedes   
my previous
Springer book `Evaluating Feynman Integrals' and its textbook version
`Feynman Integral Calculus'.
After the publication of these two books, powerful new
methods have appeared and existing methods have been improved in 
essential ways.  One more qualitative change is that most of the methods and
the corresponding algorithms have been implemented in computer codes
which are often public.  In such situations, I prefer to describe
these algorithms, rather than to provide `hand-made' solutions, as
I did in my two previous books.  However, I do not explain how to use
the corresponding codes and just refer to internet pages and papers
where tutorials and examples can be found.

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In comparison to my two previous books, three new chapters have been
added:  One chapter is on sector decomposition, while a second
describes a new method by Lee.  The third new chapter concerns
the asymptotic expansions of Feynman integrals in momenta
and masses, which were described in detail in my other Springer book
`Applied Asymptotic Expansions in Momenta and Masses'.
In this chapter, I first present a short summary of existing strategies
for obtaining an expansion of a given Feynman integral in a particular limit.
Then I describe, following papers that appeared after the publication of
this book, how one can reveal algorithmically the regions relevant to a
given limit within the strategy of expansion by regions.
The chapter on Baikov's method has been reduced, in the present book, to a
section in the chapter on integration by parts. The chapters on the
method of Mellin-Barnes representation and on the method of integration
by parts are written in a new way, with an emphasis on the corresponding
algorithms and computer codes. The chapter on the method of differential
equations has a new section and a new conclusion.