Author: Victor J. Katz Publisher: Princeton University Press ISBN: 0691204071 Category : Mathematics Languages : en Pages : 502
Book Description
What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century. Defining algebra originally as a collection of techniques for determining unknowns, the authors trace the development of these techniques from geometric beginnings in ancient Egypt and Mesopotamia and classical Greece. They show how similar problems were tackled in Alexandrian Greece, in China, and in India, then look at how medieval Islamic scholars shifted to an algorithmic stage, which was further developed by medieval and early modern European mathematicians. With the introduction of a flexible and operative symbolism in the sixteenth and seventeenth centuries, algebra entered into a dynamic period characterized by the analytic geometry that could evaluate curves represented by equations in two variables, thereby solving problems in the physics of motion. This new symbolism freed mathematicians to study equations of degrees higher than two and three, ultimately leading to the present abstract era. Taming the Unknown follows algebra’s remarkable growth through different epochs around the globe.
Author: Christoph H. Loch Publisher: John Wiley & Sons ISBN: 1118276825 Category : Technology & Engineering Languages : en Pages : 269
Book Description
Managing the Unknown offers a new way of looking at the problem of managing projects in novel and unknown environments. From Europe's leading business school, this book shows how to manage two fundamental approaches that, in combination, offer the possibility of coping with unforeseen influences that inevitably arise in novel projects: * Trial-and-Error Learning allows for redefining the plan and the project as the project unfolds * Selectionism pursues multiple, independent trials in order to pick the best one at the end Managing the Unknown offers expert guidelines to the specific project mindsets, infrastructures, and management methods required to use these project management approaches and achieve success in spite of unforeseen obstacles. This book equips readers with: * Causal explanations of why unforeseeable factors in novel projects make traditional project planning and project risk management insufficient * Directly applicable management tools that help managers to guide novel and high-uncertainty projects * Real-world case studies of both successful and unsuccessful approaches to managing high uncertainty in novel projects
Author: Frank Uekötter Publisher: Berghahn Books ISBN: 1782382534 Category : Nature Languages : en Pages : 208
Book Description
Information is crucial when it comes to the management of resources. But what if knowledge is incomplete, or biased, or otherwise deficient? How did people define patterns of proper use in the absence of cognitive certainty? Discussing this challenge for a diverse set of resources from fish to rubber, these essays show that deficient knowledge is a far more pervasive challenge in resource history than conventional readings suggest. Furthermore, environmental ignorance does not inevitably shrink with the march of scientific progress: these essays suggest more of a dialectical relationship between knowledge and ignorance that has different shapes and trajectories. With its combination of empirical case studies and theoretical reflection, the essays make a significant contribution to the interdisciplinary debate on the production and resilience of ignorance. At the same time, this volume combines insights from different continents as well as the seas in between and thus sketches outlines of an emerging global resource history.
Author: Andrew Gelman Publisher: CRC Press ISBN: 1439898200 Category : Mathematics Languages : en Pages : 663
Book Description
Winner of the 2016 De Groot Prize from the International Society for Bayesian AnalysisNow in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied
Author: Victor J. Katz
Author: Christoph H. Loch
Author: United States. Dept. of Agriculture
Author: Frank Uekötter
Author: Benjamin Franklin Underwood
Author: Andrew Gelman
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