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New Developments in Singularity Theory
Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.
The Phenomenon of Untested Sexual Assault Kits
This book examines the phenomenon of unsubmitted and untested sexual assault kits (SAKs). Beginning with an analysis of the background of the study, it examines feminist theory, functionalism, and resource dependence theory in relation to the phenomenon. The book highlights the existence of scholarly literature on the topic of sexual assault and what sexual assault encompasses, leading to the problem of unsubmitted and untested SAKs. Sexual assault is a global problem involving women and college students. Unfortunately, there are 400,000 SAKs nationwide in the US that remain unsubmitted or untested, therefore indicating serious gaps in the criminal justice system. The book shows the need for...
Regenerate
"This book is a revolution! It goes way beyond the beliefs that have fueled modern pharmaceutical medicine for decades and gives you all the science you'll ever need to prove that there is another way." - Christiane Northrup, M.D., New York Times bestselling author of Goddesses Never Age Modern medicine and human health are at a critical crossroads, and the truth is that you and not your genes are in the driver's seat. You are the one who gets to make informed decisions on how you use and nourish the evolutionary miracle that is your body. Combining analysis of cutting-edge scientific findings with our deepest ancestral wisdom and health-promoting practices, Sayer Ji, founder of GreenMedInfo...
Singularities, Part 2
On April 7-10, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This work presents the written versions of all but three of the invited talks presented at this Symposium. It contains 2 papers by invited speakers who aren't able to attend.
Singularities and Their Interaction with Geometry and Low Dimensional Topology
The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the “Némethi60: Geometry and Topology of Singularities” conference held at the Alfréd Rényi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor András Némethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields. The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.
Nonlinear Optimization in Finite Dimensions
At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies. Roughly speaking, the topology of lower level sets only may change when passing a level which corresponds to a stationary point (or Karush-Kuhn Tucker point). We study elements of Morse Theory, both in the unconstrained and constrained case. Special attention is paid to the degree of differentiabil ity of the functions under consideration. The reader will become motivated to discuss the possible shapes and forms of functions that may possibly arise within a given problem framework. In a separate chapter we show how certain ideas may be carrie...
Polynomials and Vanishing Cycles
A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations is proposed in this tract. Lefschetz theory, complex Morse theory and singularities of hypersurfaces are presented in detail leading to the latest research on topics such as the topology of singularities of meromorphic functions and non-generic Lefschetz pencils.
Singularity Theory: Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference
The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.
Outskirts
"Outskirts is an edited volume from sociology scholars that addresses the complexity of the queer experience in diverse spaces, places, and identities in the United States"--
