This volume brings together leading researchers in coding theory, algebraic geometry, and communications to explore the common mathematical structures underlying their fields. The contributions stem from the IAS/Park City Mathematics Institute and offer insight into modern applications such as error correction, cryptography, and wireless communication systems.
A gentle and engaging introduction to the fundamental concepts of algebraic geometry. This text uses a blend of concrete examples and theoretical development, making it ideal for students encountering the subject for the first time. Topics include affine and projective varieties, morphisms, and applications to real-world curves and surfaces.
This textbook offers a novel approach to differential geometry via the concept of D-differentiation, aiming to unify and simplify classical differential geometry techniques. It is suitable for upper-level undergraduate and graduate students, emphasizing both theoretical foundation and applications.
Femtochemistry explores the ultrafast realm of chemical reactions occurring on femtosecond (10⁻¹⁵ s) timescales. Featuring a compilation of pioneering research—including Ahmed Zewail’s Nobel Lecture—the volume examines how advanced laser spectroscopy enables real-time observation of atomic and molecular dynamics during bond-making and bond-breaking events. With contributions spanni…
*Modern Carbonyl Chemistry*, edited by Junzo Otera, is a comprehensive monograph that brings together contributions from leading experts to survey recent advances in carbonyl reactivity and synthesis. The book highlights cutting-edge topics like cascade and one‑pot reactions, carbonyl recognition, Lewis‑acid complexes, stereoselective formations (aldol, Michael, allylation), free‑radical …
*Chemistry: The Molecular Nature of Matter and Change* by Martin S. Silberberg, with consulting contributions from Randy Duran and others, is a well‑established general chemistry textbook that balances macroscopic observations with molecular-level explanations. It features striking molecular visuals, a consistent problem-solving framework, and a wide range of practice exercises—from basic…