Non Linear Mathematics Vol. I
dhj 2014 · RWS Publications
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"We are surrounded and deeply involved, in the natural world, with non- linear events which are not necessarily mathematical," the authors write. "For example . . . the nonlinear problem of pedalling a bicycle up and down a hillside. On a grand scale . . . the struggle for existence between two species, one of which preys exclusively on the other." This book is' for mathematicians and researchers who believe that "nonlinear mathematics is' the mathematics of today"; it is also for economists, engineers, operations analysts, "the reader who has been thus bemused into an artificially linear conception of the universe." Nonlinear Mathematics is the first attempt to consider the widest range of nonlinear topics found in the -scattered literature. Accessible to non- mathematics professionals as well as college seniors and graduates, it offers a discussion both particular and broad enough to stimulate research towards a unifying theory of nonlinear mathematics. Ideas are presented "according to existence and uniqueness theorems, characterization (e.g., stability and asymptotic behavior), construction of solutions, convergence, approximation and errors."
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Thomas L. Saaty is Distinguished University Professor at the University of Pittsburgh, before that was a professor at the Wharton School, University of Pennsylvania for 10 years and before that was for seven years in the Arms Control and Disarmament Agency at the U.S. State Department. He is a member of the National Academy of Engineering and serves on the Board of Advisors to Decision Lens, a company based on the Analytic Hierarchy Process (AHP). He is the architect of the decision theory, the Analytic Hierarchy Process (AHP) and its generalization to complex decisions with dependence and feedback, the Analytic Network Process (ANP).
In 2000 he received the Gold Medal for his work on decision making from the International Society for Multi-criteria Decision Making. In 2007 he received the Akao prize given by the Quality Function Deployment (QFD) society. In 2008 he received the Impact Prize from INFORMS (the society for Operations Research) for his seminal work on the Analytic Hierarchy Process and for his contribution to its deployment and its extraordinary impact. In 2009 he received the Chancellor's Distinguished Research Award at the University of Pittsburgh.
The International Symposium on the Analytic Hierarchy Process (ISAHP) that takes place every two years was established in 1988. Recent meetings have been in Bern, Switzerland, 2001 (Sixth ISAHP); in Bali, Indonesia, 2003 (Seventh ISAHP); in Hawaii, 2005 (Eighth ISAHP); in Viña del Mar, Chile, 2007 (Ninth ISAHP); in Pittsburgh, United States, 2009 (Tenth ISAHP).
He has published numerous articles and more than 12 books on the AHP/ANP and decision making and the workings of the brain. His nontechnical book on the AHP, Decision Making for Leaders, has been translated to more than 10 languages. He is also the author of numerous other books on mathematics and mathematical modeling.
In 2000 he received the Gold Medal for his work on decision making from the International Society for Multi-criteria Decision Making. In 2007 he received the Akao prize given by the Quality Function Deployment (QFD) society. In 2008 he received the Impact Prize from INFORMS (the society for Operations Research) for his seminal work on the Analytic Hierarchy Process and for his contribution to its deployment and its extraordinary impact. In 2009 he received the Chancellor's Distinguished Research Award at the University of Pittsburgh.
The International Symposium on the Analytic Hierarchy Process (ISAHP) that takes place every two years was established in 1988. Recent meetings have been in Bern, Switzerland, 2001 (Sixth ISAHP); in Bali, Indonesia, 2003 (Seventh ISAHP); in Hawaii, 2005 (Eighth ISAHP); in Viña del Mar, Chile, 2007 (Ninth ISAHP); in Pittsburgh, United States, 2009 (Tenth ISAHP).
He has published numerous articles and more than 12 books on the AHP/ANP and decision making and the workings of the brain. His nontechnical book on the AHP, Decision Making for Leaders, has been translated to more than 10 languages. He is also the author of numerous other books on mathematics and mathematical modeling.
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