Thomas F. Banchoff

Stephen Lovett

Through two previous editions, the third edition of this popular and intriguing text takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students’ geometric intuition through interactive graphics applets. Applets are presented in Maple workbook format, which readers can access using the free Maple Player. The book explains the reasons for various definitions while the interactive applets offer motivation for definitions, allowing students to explore examples further, and give a visual explanation of complicated theorems. The ability to change parametric curves and parametrized surfaces in an applet lets students probe the concepts far beyond what static text permits. Investigative project ideas promote student research. At users of the previous editions' request, this third edition offers a broader list of exercises. More elementary exercises are added and some challenging problems are moved later in exercise sets to assure more graduated progress. The authors also add hints to motivate students grappling with the more difficult exercises. This student-friendly and readable approach offers additional examples, well-placed to assist student comprehension. In the presentation of the Gauss-Bonnet Theorem, the authors provide more intuition and stepping-stones to help students grasp phenomena behind it. Also, the concept of a homeomorphism is new to students even though it is a key theoretical component of the definition of a regular surface. Providing more examples show students how to prove certain functions are homeomorphisms.

Differential Geometry of Curves and Surfaces

Stephen T. Lovett

Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces, one- and two-dimensional objects in Euclidean space. The problems generally relate to questions of local properties (the properties

Robert Wuthnow

Are human rights universal or the product of specific cultures? The contributors to this volume address this and many other questions as they examine, through a bottom-up approach, the interaction of human rights and religion in practice and the challenges they pose for national and international policymakers

Religion and the Global Politics of Human Rights

José Casanova

The Society of Jesus, commonly known as the Jesuits, is the most successful and enduring global missionary enterprise in history. Founded by Ignatius Loyola in 1540, the Jesuit order has preached the Gospel, managed a vast educational network, and shaped the Catholic Church, society, and politics in all corners of the earth. Rather than offering a global history of the Jesuits or a linear narrative of globalization, Thomas Banchoff and José Casanova have assembled a multidisciplinary group of leading experts to explore what we can learn from the historical and contemporary experience of the Society of Jesus--what do the Jesuits tell us about globalization and what can globalization tell us about the Jesuits? Contributors include comparative theologian Francis X. Clooney, SJ, historian John W. O'Malley, SJ, Brazilian theologian Maria Clara Lucchetti Bingemer, and ethicist David Hollenbach, SJ. They focus on three critical themes--global mission, education, and justice--to examine the historical legacies and contemporary challenges. Their insights contribute to a more critical and reflexive understanding of both the Jesuits' history and of our contemporary human global condition.

Historical Legacies and Contemporary Challenges

The Jesuits and Globalization

Edwin A. Abbott

William F. Lindgren

Flatland, Edwin Abbott Abbott's story of a two-dimensional universe, as told by one of its inhabitants who is introduced to the mysteries of three-dimensional space, has enjoyed an enduring popularity from the time of its publication in 1884. This fully annotated edition enables the modern-day reader to understand and appreciate the many "dimensions" of this classic satire. Mathematical notes and illustrations enhance the usefulness of Flatland as an elementary introduction to higher-dimensional geometry. Historical notes show connections to late-Victorian England and to classical Greece. Citations from Abbott's other writings as well as the works of Plato and Aristotle serve to interpret the text. Commentary on language and literary style includes numerous definitions of obscure words. An appendix gives a comprehensive account of the life and work of Flatland's remarkable author.

Thomas F. Banchoff

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