This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.

The Tom & Charlotte Mittler Collection

Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.

Packed with advice, tips, how-tos, and patterns for DIY crafts or crafting with kids, Craft Wisdom & Know-Howis a must-have home reference for both aspiring and experienced crafters alike. Covering dozens of the most popular projects in one complete, all-encompassing guide, this book is organized by type of craft, and also illustrated with line drawings and photos throughout. There is invaluable information about numerous crafting topics, including: Sewing Knitting and Other Needlework Paper Crafts and Bookmaking Glasswork Jewelry Making Pottery and Clay Mosaics Candle-making and Decorating Woodworking and Furniture Making, plus so much more. Each chapter covers a specific craft, with step-by-step directions and projects for crafters of all levels, from beginner to advanced. Hundreds of projects are included, such as Super Sock Monkeys, Crocheted Hats, Etched Glass, One-Afternoon Skirts, and Beading Vintage-Style Jewelry, among so many more. This book is also a part of the Know-How series which includes other titles such as: Country Wisdom & Know-How Woodworking Wisdom & Know-How Garden Wisdom & Know-How Natural Healing Wisdom & Know-How

Apply a variety of techniques to more than 20 mosaic projects.

Clay So Cute! shows how one of the easiest mediums—polymer clay, which need only be baked in the oven—can be sculpted into quick, simple, totally fun jewelry and accessories for tween girls—including bangles, pocket mirrors, earrings, chunky bead necklaces, and cute charms. Clay So Cute! teaches simple, step-by-step illustrated techniques to make 21 tween- and teen-friendly projects that are more sophisticated than "kid stuff," but trendier than the pieces found in adult clay books—from robot key chains to polka-dot ponytail holders. Using only a few simple tools and updated colors, Sherri Haab has created a collection of eye-catching jewelry and accessories that crafty girls will love. Whether making them yourself or with mom or a friend, there's a project in here that you won't be able to resist—and that all the girls in your class will want, too! Among the projects are: Cupcake Charms Japanese Fun Foods Bottle Cap Necklace Wishing Stone Jewelry

The Neuroscience of Depression: Genetics, Cell Biology, Neurology, Behaviour and Diet is a comprehensive reference to the aspects, features and effects of depression. This book provides readers with the behavior and psychopathological effects of depression, linking anxiety, anger and PSTD to depression. Readers are provided with a detailed outline of the genetic aspects of depression including synaptic genes and the genome-wide association studies (GWAS) of depression, followed by a thorough analysis of the neurological and imaging techniques used to study depression. This book also includes three full sections on the various effects of depression, including diet, nutrition and molecular and cellular effects. The Neuroscience of Depression: Genetics, Cell Biology, Neurology, Behaviour and Diet is the only resource for researchers and practitioners studying depression.The Neuroscience of Depression: Features, Diagnosis and Treatment - Covers a pharmacological and behavioral treatment options - Features sections on diagnosis and biomarkers of depression - Discusses depression in children, teens and adults - Contains information on comorbidity of physical and mental conditions - Includes more than 250 illustrations and tables The Neuroscience of Depression: Genetics, Cell Biology, Neurology, Behaviour and Diet - Features a section on neurological and imaging, including SPECT Neuroimaging - Analyzes how diet and nutrition effect depression - Examines the molecular and cellular effects of depression - Covers genetics of depression - Includes more than 250 illustrations and tables