The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix. The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering.
Creativity is an integral part of human history, yet most studies focus on the modern era, leaving unresolved questions about the formative role that creativity has played in the past. This book explores the fundamental nature of creativity in the European Bronze Age. Considering developments in crafts that we take for granted today, such as pottery, textiles, and metalwork, the volume compares and contrasts various aspects of their development, from the construction of the materials themselves, through the production processes, to the design and effects deployed in finished objects. It explores how creativity is closely related to changes in material culture, how it directs responses to the new and unfamiliar, and how it has resulted in changes to familiar things and practices. Written by an international team of scholars, the case studies in this volume consider wider issues and provide detailed insights into creative solutions found in specific objects.
This volume offers new insights into the radical shift in attitudes towards death and the dead body that occurred in temperate Bronze Age Europe. Exploring the introduction and eventual dominance of cremation, Marie-Louise Stig Sørenson and Katharina Rebay-Salisbury apply a case-study approach to investigate how this transformation unfolded within local communities located throughout central to northern Europe. They demonstrate the deep link between the living and the dead body, and propose that the introduction of cremation was a significant ontological challenge to traditional ideas about death. In tracing the responses to this challenge, the authors focus on three fields of action: the treatment of the dead body, the construction of a burial place, and ongoing relationships with the dead body after burial. Interrogating cultural change at its most fundamental level, the authors elucidate the fundamental tension between openness towards the 'new' and the conservative pull of the familiar and traditional.
Based on empirical research, theoretical frameworks and practice examples, this book presents a deep dive into the topic of transformational leadership. In particular, it investigates whether participants in transformational leader courses will practice more potent transformation leader qualities after completion of the courses than before. It examines which elements of leadership development can describe what happens in this intervention, as well as whether there is any covariation between transformation leadership and Sternberg's learning style, and the role that a coach plays in the development of transformational leadership. An engaging and valuable resource for students, scholars, and practitioners, the book includes pluralistic frameworks, conceptual tools, and lessons for further work. It covers exciting issues for the technical, social, and managerial professions involved in collaborative creative work across disciplines.
Leading Self is about inner leadership and how all of us contribute in the leading process. The book demonstrates how current knowledge of human functioning can be applied in the leading of teams and organizations. A primary purpose is to inspire leaders and collaborators in their professional and personal development.
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