How Mathematicians Think
How Mathematicians Think

Author: William Byers

Publisher: Princeton University Press

Published: 2010-05-02

Total Pages: 424

ISBN-13: 0691145997

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To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.

Post-Genomic Perspectives in Modeling and Control of Breathing
Post-Genomic Perspectives in Modeling and Control of Breathing

Author: Jean Champagnat

Publisher: Springer Science & Business Media

Published: 2010-06-28

Total Pages: 330

ISBN-13: 038727023X

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Post Genomic Perspectives in Modeling and Control of Breathing is comprised of the proceedings of the IXth Oxford Conference on Modeling and Control of Breathing, held September 13-16, 2003 in Paris, France. This publication is placed within the general framework of post-genomic neurobiology, pathology, and the precise example of the rhythmic respiratory neural assembly being used to understand how genetic networks have been selected and conserved in the vertebrate brain. Specific topics include: ion channels and synapses responsible for respiratory rhythmogenesis and plasticity; pre- and post-natal development of the respiratory rhythm; chemosensory transduction and chemo-afferent signalling. These valuable insights open new avenues as to why the genetic codes underlying a vital function such as breathing have been selected, conserved, or optimized during evolution – a major issue of post-genomic biology. This critical issue will be considered from both top-down and bottom-up integrative modeling standpoints, with a view to elucidating the functional genomics linking discrete molecules to the integrated system that regulates breathing.

Moving Beyond Myths
Moving Beyond Myths

Author: National Research Council

Publisher: National Academies Press

Published: 1991-02-01

Total Pages: 76

ISBN-13: 0309044898

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Over the next decade, the mathematical community and the nation's colleges and unversities must restructure fundamentally the culture, content, and context of undergraduate mathematics. Acknowledging the weaknesses in the present college mathematics curriculum and the ways in which it is taught, this book cites exemplary programs that point the way toward achieving the same world-wide preeminence for mathematics education that the United States enjoys in mathematical research. Moving Beyond Myths sets forth ambitious goals for collegiate mathematics by the year 2000 and provides a sweeping plan of action to accomplish them. It calls on mathematics faculty, their departments, their professional societies, colleges and universities, and government agencies to do their parts to implement the plan, help the public move beyond commonly held myths about mathematics, and bring about a revitalization of undergraduate mathematics.

Three-Dimensional Elasticity
Three-Dimensional Elasticity

Author:

Publisher: Elsevier

Published: 1988-04-01

Total Pages: 495

ISBN-13: 0080875416

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This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Omics for Personalized Medicine
Omics for Personalized Medicine

Author: Debmalya Barh

Publisher: Springer Science & Business Media

Published: 2013-10-14

Total Pages: 825

ISBN-13: 8132211847

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“Omics for Personalized Medicine” will give to its prospective readers the insight of both the current developments and the future potential of personalized medicine. The book brings into light how the pharmacogenomics and omics technologies are bringing a revolution in transforming the medicine and the health care sector for the better. Students of biomedical research and medicine along with medical professionals will benefit tremendously from the book by gaining from the diverse fields of knowledge of new age personalized medicine presented in the highly detailed chapters of the book. The book chapters are divided into two sections for convenient reading with the first section covering the general aspects of pharmaocogenomic technology that includes latest research and development in omics technologies. The first section also highlights the role of omics in modern clinical trials and even discusses the ethical consideration in pharmocogenomics. The second section is focusing on the development of personalized medicine in several areas of human health. The topics covered range from metabolic and neurological disorders to non-communicable as well as infectious diseases, and even explores the role of pharmacogenomics in cell therapy and transplantation technology. Thirty-four chapters of the book cover several aspects of pharmacogenomics and personalized medicine and have taken into consideration the varied interest of the readers from different fields of biomedical research and medicine. Advent of pharmacogenomics is the future of modern medicine, which has resulted from culmination of decades of research and now is showing the way forward. The book is an honest endeavour of researchers from all over the world to disseminate the latest knowledge and knowhow in personalized medicine to the community health researchers in particular and the educated public in general.

Thomas Kuhn
Thomas Kuhn

Author: Steve Fuller

Publisher: University of Chicago Press

Published: 2000

Total Pages: 500

ISBN-13: 9780226268965

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This work discusses whether Kuhn's The Structure of Scientific Revolutions was revolutionary. Steve Fuller argues that Kuhn held a profoundly conservative view of science and how one ought to study its history.