<p>Starting with Cook's pioneering work on NP-completeness in 1970, polynomial complexity theory, the study of polynomial-time com putability, has quickly emerged as the new foundation of algorithms. On the one hand, it bridges the gap between the abstract approach of recursive function theory and the concrete approach of analysis of algorithms. It extends the notions and tools of the theory of computability to provide a solid theoretical foundation for the study of computational complexity of practical problems. In addition, the theoretical studies of the notion of polynomial-time tractability some times also yield interesting new practical algorithms. A typical exam ple is the application of the ellipsoid algorithm to combinatorial op timization problems (see, for example, Lovasz [1986]). On the other hand, it has a strong influence on many different branches of mathe matics, including combinatorial optimization, graph theory, number theory and cryptography. As a consequence, many researchers have begun to re-examine various branches of classical mathematics from the complexity point of view. For a given nonconstructive existence theorem in classical mathematics, one would like to find a construc tive proof which admits a polynomial-time algorithm for the solution. One of the examples is the recent work on algorithmic theory of per mutation groups. In the area of numerical computation, there are also two tradi tionally independent approaches: recursive analysis and numerical analysis.</p>

Complexity Theory of Real Functions (Progress in Theoretical Computer Science)

Computers & Technology

Ko, K.

Computer Science

Birkhauser

<p>This is the first practical women's guide on how to succeed in medical residency. Herself a practicing neurosurgeon who survived 6 years of residency, 2 years of fellowship, and over 1,000 nights on call, author Kathryn Ko explains in detail how women can finish residency in top form while remaining truly feminine and not missing out on life. Dr. Ko's book contains seven main chapters, beginning with detailed instructions on how to prepare for residency between Match Day and July 1. Other chapters explain how to look your best at the right time, the anatomy of the on call bag, quick tips on preparing professional grand rounds on short notice, help from nurses and mentors, how to avoid falling prey to sexual discrimination and harassment, childcare options, publishing and presentations and how to give a good impression, how to learn procedures and surgery taught by men, how to use technology to make life simpler, how to organize your home and personal and social affairs, and all about the business of medicine, including contracts, malpractice, and finances. Includes bibliographic references and an index.</p>

The Survival Bible for Women in Medicine

Medical Books

Administration & Medicine Economics

CRC-Press

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