Preface to the Sixth Edition. Acknowledgements. The order of presentation of the formulas. Use of the tables. Special functions. Notation. Note on the bibliographic references. Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of Special Functions. Special Functions. Vector Field Theory. Algebraic Inequalities. Integral Inequalities. Matrices and related results. Determinants. Norms. Ordinary differential equations. Fourier, Laplace, and Mellin Transforms. The z-transform. References. Supplemental references. Function and constant index. General index.
Preface
This completely reset sixth edition of Gradshteyn and Ryzhik is a
corrected and expanded version of the previous edition. The book
was completely reset in order to add more material and to enhance
the visual appearance of the material. To preserve compatibility
with the previous edition, the original numbering system for
entries has been retained. New entries and sections have been
inserted in a manner consistent with the original scheme. Whenever
possible, new entries and corrections have been checked by means of
symbolic computation.
The diverse ways in which corrections have been contributed have
made it impossible to attribute them to reference sources that are
accessible to users of this book. However, as in previous editions,
our indebtedness to theses contributors is shown in the form of an
acknowledgement list on page xxiii. This list gives the names of
those who have written to us directly sending corrections and
suggestions for addenda, and added to it are the names of those who
have published errata in Mathematics of Computation. Certain
individuals must be singled out for special thanks due to their
significant contributions: Professors H. van Haeringen and L.P. Kok
of the Netherlands and Dr. K.S. K�lbig have contributed new
material, corrections, and suggestions for new material.
Great care was taken to check the reset version of Gradshteyn and
Ryzhik against the fifth edition, both by computer means and hand
inspection, but it is inevitable that some transcription errors
will remain. These will be rectified in subsequent reprinting of
the book as and when they are identified. The authors would
appreciate knowledge of any errors or deficiencies, their email
addresses are listed below. If any errata are found, they will be
posted on the website, www az-tec.com/gr/errata.
As in the previous edition, a numerical superscript added to an
entry number is used to indicate either a new edition to the book
or a correction. When an entire section is new, an asterisk has
been added only to the section heading. Continuing in the previous
convention, a superscript 10 has been added to entry numbers to
indicate the most recent changes that have been made.
This latest version of Gradshteyn and Ryzhik also forms the source
for a revised electronic version of Gradshteyn and Ryzhik.
Special thanks are extended to John Law and the Newcastle
University Computing Service for their help in the preparation of
this edition.
Alan Jeffrey
Daniel Zwillinger
(Associate Editor)
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