Complex Integration and Cauchy's Theorem

Complex Integration and Cauchy's TheoremThis brief monograph by one of the great mathematicians of the early twentieth century offers a single volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications of the theorem to the evaluation of definite integrals. Author G. N. Watson begins by reviewing various propositions of Poincar's Analysis

and severe conditions a year after their capture

and the theory of fluid mechanics

the age-old tales tell of the creation of the world

great classical composers

books on east rivers

Liszt's incomparable mastery of the art of transcription is reflected in this rich selection of favorites

The final chapter contains problems associated with many of the preceding chapters and expresses them in terms of the calculus of variations

5 by Brahms

Newton's exponential series

resolution

and such individually famous tricks as the four aces

books on pioneer spirits