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Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.
Evolving out of ethnographic fieldwork, this text examines how ideas of social justice are articulated and communicated by pre-service teachers and graduate teaching assistants in the US. By positing the concept of "help" as a central tenet of social justice within teacher education, this volume offers a unique performative analysis of how the concept is communicatively constituted in teacher education and training. Using a social justice framework, the book examines the ways in which new teachers contend with their identities as educators, and demonstrates how these communicative performances influence pre-service and new teachers’ perceptions of their role, as well as their responsibility to engage with social justice and critical approaches in the classroom. This text will benefit researchers, academics, and educators in higher education with an interest in teacher education, critical communication studies, and the sociology of education more broadly. Those specifically interested in teacher training, mentoring, and social justice in the classroom will also benefit from this book.
Ô. . . this book is a very useful resource for the lawyer. . . makes a good start by presenting a wide-ranging portfolio of multidisciplinary research that will assist in progressing the task, challenging though it may be.Õ Ð Chris Rodgers, Environmental Liability This book explores the interaction between climate change and the agriculture sector. Agriculture is essential to the livelihood of people and nations, especially in the developing world; therefore, any impact on it will have significant economic, social, and political ramifications. Scholars from around the world and from various fields have been brought together to explore this important topic. The contributions found here analyze direct agronomic effects, the economic impacts on agriculture, agricultural impacts on the economy, agricultural mitigation, and farmer adaptation. The authors argue that climate change is likely to have an extensive impact on agriculture around the world through changes in temperature, precipitation, concentrations of carbon dioxide, and available water flows. This thorough and timely volume is an invaluable resource for anyone interested in exploring the impacts of climate change in arguably the most important sector of the world economy. Economists, agronomists, and climate modelers in academia and the public sector, policy analysts and development agency staff, and graduate/postgraduate students will find this remarkable volume a welcome addition to their collection.