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Surveys in Geometry I
The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to current research trends in geometry.
Bodies of Constant Width
This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts. An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. The book then delves into a number of related topics, which include Co...
The Great Mathematicians of Bharat
"The Great Mathematicians of Bharat" emerges as a seminal work, aligning perfectly with the vision of the National Education Policy (NEP) 2020, which emphasizes the integration and appreciation of Indian Knowledge Systems (IKS) in contemporary education. This book meticulously documents the rich legacy of India's mathematical geniuses, serving as a crucial resource in rekindling interest and respect for Bharat's profound mathematical traditions. It underscores the symbiotic relationship between cultural ethos and scientific inquiry, highlighting how Indian mathematicians not only contributed to the field of mathematics but also how their work was deeply interwoven with Hindu spiritual and cultural practices. By chronicling the journey from ancient sages to modern masters, the book provides a comprehensive view of the evolution of mathematical thought in Bharat, thus fulfilling NEP 2020's objective of integrating indigenous knowledge with modern academic frameworks. In doing so, it not only educates but also inspires, setting a precedent for future academic endeavours to explore and celebrate India's rich intellectual heritage.
Volumetric Discrete Geometry
Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume, introduces problems related to it, and presents methods to apply it to other geometric problems. Part I of the text consists of survey chapters of selected topics on volume and is suitable for advanced undergraduate students. Part II has chapters of selected proofs of theorems stated in Part I and is oriented for graduate level students wishing to learn about the latest research on the topic. Chapters can be studied independently from each other. Provides a list of 30 open problems to promote research Features more than 60 research exercises Ideally suited for researchers and students of combinatorics, geometry and discrete mathematics
Comerciantes do meu tempo
Esta é a história dos comerciantes de Criciúma a partir do mês de junho de 1950 até a década de 1980. Minha intenção, com este memorial, é fazer o resgate da história dos comerciantes de Criciúma a fim de que não se perca nada do que essa classe fez em prol do crescimento e do desenvolvimento desta terra. Muito pouco, infelizmente, se escreve sobre essa gente trabalhadora, que, além de vender e fazer circular suas mercadorias, faz amigos, cria riquezas, conversa, consola, faz favores e muito mais. Afinal, nós mercadores convivemos com grande número de pessoas, que, além de fregueses, se tornam nossos amigos.
Poder de Parlamento Tira o Povo do Buraco
As democracias estáveis no mundo são 20, e 19 são democracias parlamentaristas de modelo britânico. Os Estados Unidos são a única democracia estável presidencialista. Brasil e Latino-Americanos têm presidencialismo bastardo com golpes de Estado, revoluções e ditaduras. Nunca têm as duas eleições simultâneas norte-americanas. Com a Carta de 1824, o Brasil foi Monarquia constitucional por 65 anos sem ditadura ou golpe e com uma única moeda e uma única Carta. No atual sistema eleitoral, o eleitor brasileiro escolhe diretamente pelo nome só 30% dos deputados federais; 70% deles são escolhidos pelas sobras dos partidos. Com o voto distrital puro, a escolha vai ser diretamente do...
País Oficial Obeso Ameaça a Nação
A Enciclopédia Britânica e Rui Barbosa louvam o parlamento dinástico. A cidadania exige um "país oficial" menos obeso, "lejos de nuestra incompetencia ladronesca". Cumpre recuperar as instituições de uma só Carta e de uma só moeda, a começar pelo sistema eleitoral do voto distrital puro e veraz, penhor da reconciliação da pátria: sistema dez vezes mais barato que o atual. Pedra angular é "o sistema parlamentarista puro", sem jabutis que o dissolvem (ESP, MC, 11-10-2022, p. A4); ele corrige o balaio de siglas (Ibidem, p. A4). O eleitorado não mais aguenta a urna de prévia conspurcação: só 30% dos deputados correspondem à porção indicada pelo eleitor; 70% são extraídos d...
An Introduction to Riemann Surfaces
This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact Riemann surfaces. The inclusion of continuing exercises running throughout the book, which lead to generalizations of the main theorems, as well as the exercises included in each chapter make this text ideal for a one- or two-semester graduate course.
Classical Analysis in the Complex Plane
This authoritative text presents the classical theory of functions of a single complex variable in complete mathematical and historical detail. Requiring only minimal, undergraduate-level prerequisites, it covers the fundamental areas of the subject with depth, precision, and rigor. Standard and novel proofs are explored in unusual detail, and exercises – many with helpful hints – provide ample opportunities for practice and a deeper understanding of the material. In addition to the mathematical theory, the author also explores how key ideas in complex analysis have evolved over many centuries, allowing readers to acquire an extensive view of the subject’s development. Historical notes...
