This graduate-level mathematics textbook provides an in-depth and readable exposition of selected topics in complex analysis. The material spans both the standard theory at a level suitable for a first-graduate class on the subject and several advanced topics delving deeper into the subject and applying the theory in different directions. The focus is on beautiful applications of complex analysis to geometry and number theory. The text is accompanied by beautiful figures illustrating many of the concepts and proofs. Among the topics covered are asymptotic analysis; conformal mapping and the Riemann mapping theory; the Euler gamma function, the Riemann zeta function, and a proof of the prime number theorem; elliptic functions, and modular forms. The final chapter gives the first detailed account in textbook format of the recent solution to the sphere packing problem in dimension 8, published by Maryna Viazovska in 2016 -- a groundbreaking proof for which Viazovska was awarded the Fields Medal in 2022. The book is suitable for self-study by graduate students or advanced undergraduates with an interest in complex analysis and its applications, or for use as a textbook for graduate mathematics classes, with enough material for 2-3 semester-long classes. Researchers in complex analysis, analytic number theory, modular forms, and the theory of sphere packing, will also find much to enjoy in the text, including new material not found in standard textbooks.

The architecture of the human language faculty has been one of the main foci of the linguistic research of the last half century. This branch of linguistics, broadly known as Generative Grammar, is concerned with the formulation of explanatory formal accounts of linguistic phenomena with the ulterior goal of gaining insight into the properties of the 'language organ'. The series comprises high quality monographs and collected volumes that address such issues. The topics in this series range from phonology to semantics, from syntax to information structure, from mathematical linguistics to studies of the lexicon. To discuss your book idea or submit a proposal, please contact Birgit Sievert

This seminal series, first edited by Ernest Eliel, responsible for some of the major advances in stereochemistry and the winner of the ACS Priestley Medal in 1996, provides coverage of the major developments of the field of stereochemistry. The scope of this series is broadly defined to encompass all fields of chemical and biological sciences that are founded on molecular and supramolecular interactions. Insofar as chemical, physical, and biological properties are determined by molecular shape and structure, the importance of stereochemistry is fundamental to and consequential for all natural sciences. Topics in Stereochemistry serves as a multidisciplinary series that enriches all of chemistry. Aimed at advanced students, university professors and teachers as well as researchers in pharmaceutical, agricultural, biotechnological, polymer, materials, and fine chemical industries, Topics in Stereochemistry publishes definitive and scholarly reviews in stereochemistry and has long been recognized as the gold standard reference work in this field. Covering the effect of chirality on all aspects of molecular interaction from the fundamental physical chemical properties of molecules and their molecular physics to the application of chirality in new areas such as its applications in materials science, Topics in Stereochemistry explores a wide variety of properties, both physical and chemical of isomers with a view to their applications in a number of disciplines from biochemistry to materials science.

This book provides an overview of ecological aspects of the metabolism and behavior of microbes, microbial habitats, biogeochemical cycles, and biotechnology. It was designed by selecting relevant chapters from the comprehensive Encyclopedia of Microbiology, 3rd edn., and inviting the original authors to update their material to include key developments and advances in the field.

Current Topics in Developmental Biology provides a comprehensive survey of the major topics in the field of developmental biology. The volumes are valuable to researchers in animal and plant development, as well as to students and professionals who want an introduction to cellular and molecular mechanisms of development. The series has recently passed its 30-year mark, making it the longest-running forum for contemporary issues in developmental biology. - Includes 20 color figures - Latest volume in series, with eight reviews in more than 250 pages - Topics covered include bone remodeling, ex vivo adult stem cell expansion, calcium sensing receptors and more

The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is an important feature. Other books cover portions of this material, but this book is unusual in covering both of these aspects and there are no other books with such a wide scope. Peter J. Cameron, internationally recognized for his substantial contributions to the area, served as academic consultant for this volume, and the result is ten expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory, linear algebra and group theory. Each chapter concludes with an extensive list of references.

Current Topics in Cellular Regulation, Volume 19 analyzes the advances in the general area of cellular regulation. This book discusses the evidence indicating that synthesis of the histidine enzymes is regulated and drugs affecting ribonucleotide reductase. The analogy principle in comparative biochemistry of allosteric regulation of metabolism, steady-state model of glucose metabolism in adipose tissue, and sensitivity of enzyme activity to changing ion concentrations are also elaborated. This publication likewise covers the cAMP-dependent protein kinases of nervous tissue and amino acid sequences of IGF I and II. This volume is a good reference for biologists and researchers conducting work on the basic mechanisms involved in the regulation of diverse cellular activities.

Cardiovascular disease is currently the leading cause of death of pregnant and postpartum women in the United States. Pregnancy can exacerbate known cardiovascular disorders and unmask previously unrecognized problems. The field of cardio-obstetrics is emerging and a clear area of need for improved quality of care. This book is the first authoritative and comprehensive volume dedicated to contemporary and practical topics in Cardio Obstetrics. It provides an up-to-date and highly illustrated synopsis of the pathophysiological, biomolecular, genetic, imaging features, translational and clinical applications of cardiometabolic disease, adverse pregnancy outcomes, cardiomyopathy, ischemic heart disease, maternal shock and structural heart disease in pregnancy and their role in maternal and fetal outcomes. It relays to the reader a contemporary view of the emerging interplay between the pregnancy and cardiovascular disease and risk factors and focuses on the pathophysiology, obstetrical and cardiac management of complex disorders in pregnancy. In addition, this volume discusses the clinical implications and therapeutic targets of a wide range of diseases in pregnancy from the preventive cardiology to critical care and advanced heart failure. Contemporary Topics in Cardio-Obstetrics is an essential resource for physicians, residents, fellows, and medical students in cardiology, endocrinology, primary care, and health promotion and disease prevention.