The calculation of partial derivatives is a fundamental need in scientific computing. Automatic differentiation (AD) can be applied straightforwardly to obtain all necessary partial derivatives (usually first and, possibly, second derivatives) regardless of a code?s complexity. However, the space and time efficiency of AD can be dramatically improved?sometimes transforming a problem from intractable to highly feasible?if inherent problem structure is used to apply AD in a judicious manner. Automatic Differentiation in MATLAB using ADMAT with Applications discusses the efficient use of AD to solve real problems, especially multidimensional zero-finding and optimization, in the MATLAB environment. This book is concerned with the determination of the first and second derivatives in the context of solving scientific computing problems with an emphasis on optimization and solutions to nonlinear systems. The authors focus on the application rather than the implementation of AD, solve real nonlinear problems with high performance by exploiting the problem structure in the application of AD, and provide many easy to understand applications, examples, and MATLAB templates.
A large number of mathematical models in many diverse areas of science and engineering have lead to the formulation of optimization problems where the best solution (globally optimal) is needed. This book covers a small subset of important topics in global optimization with emphasis on theoretical developments and scientific applications.
This is Part 2 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic. Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic and -adic tools, etc. The resulting articles will be important references in these areas for years to come.
A CONCISE YET THOROUGH OVERVIEW OF THE MEDICATIONS AND APPROACHES USED IN CANCER CARE--BACKED BY THE AUTHORITY OF HARRISON'S Harrison's Manual of Oncology is a carry-anywhere guide to the care of patients with cancer. Enhanced by the latest published results, this valuable clinical companion features numerous tables and succinct, outline-style text that puts important information at your fingertips. You will find content that goes beyond the treatment of primary or metastatic disease to encompass the treatment of all therapeutic complications. The opening sections of Harrison's Manual of Oncology are devoted to the classes of agents used to treat cancer and reviews their pharmacology and mechanisms of action. This section is followed by a detailed discussion of the diagnosis, staging, and treatment of all major types of cancer. There is a strong focus on symptom management and complications of treatment, including pain, nausea and vomiting, anemia, febrile neutropenia, metabolic emergencies, thrombosis, psychological issues, and end-of-life care.
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