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Geometry and Dynamics
This volume is based on talks given at the Conference in Honor of the 60th Anniversary of Alberto Verjovsky, a prominent mathematician in Latin America who made significant contributions to dynamical systems, geometry, and topology. Articles in the book present recent work in these areas and are suitable for graduate students and research mathematicians.
Classical And Dynamical Markov And Lagrange Spectra: Dynamical, Fractal And Arithmetic Aspects
The book intends to give a modern presentation of the classical Markov and Lagrange spectrum, which are fundamental objects from the theory of Diophantine approximations and of their several generalizations related to Dynamical Systems and Differential Geometry. Besides presenting many classical results, the book includes several topics of recent research on the subject, connecting several fields of Mathematics — Number Theory, Dynamical Systems and Fractal Geometry.It includes topics as:
Frontiers in Complex Dynamics
John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put t...
Foundations of Ergodic Theory
Self-contained introductory textbook suitable for a variety of one- or two-semester courses. Rich with examples, applications and exercises.
Describing Nature Through Visual Data
People have described nature since the beginning of human history. They do it for various purposes, including to communicate about economic, social, governmental, meteorological, sustainability-related, strategic, military, and survival issues as well as artistic expression. As a part of the whole world of living beings, we use various types of senses, known and unknown, labeled and not identified, to both communicate and create. Describing Nature Through Visual Data is a collection of impactful research that discusses issues related to the visualization of scientific concepts, picturing processes, and products, as well as the role of computing in advancing visual literacy skills. Organized ...
Knowledge Visualization and Visual Literacy in Science Education
Effective communication within learning environments is a pivotal aspect to students’ success. By enhancing abstract concepts with visual media, students can achieve a higher level of retention and better understand the presented information. Knowledge Visualization and Visual Literacy in Science Education is an authoritative reference source for the latest scholarly research on the implementation of visual images, aids, and graphics in classroom settings and focuses on how these methods stimulate critical thinking in students. Highlighting concepts relating to cognition, communication, and computing, this book is ideally designed for researchers, instructors, academicians, and students.
Religious Communities and Civil Society in Europe
The seemingly vitalizing impact of religiosity on civil society is a research topic that has been extensively looked into, not only in the USA, but increasingly also in a European context. What is missing is an evaluation of the role of institutionalized religious communities, and of circumstances that facilitate or impede their status as civil society organisations. This anthology in 2 volumes aims at closing this gap by providing case studies regarding political, legal and historical aspects in various European countries. Vol. 2 provides some theoretical aspects, a report on the final conference, and case studies from Germany, France, United Kingdom, Italy, Poland and the Ukraine, as well as a special chapter on Brazil and a Note on Religious Political Ideology.
Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
The Prime Number Conspiracy
The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backya...
The Oxford Handbook of Generality in Mathematics and the Sciences
Generality is a key value in scientific discourses and practices. Throughout history, it has received a variety of meanings and of uses. This collection of original essays aims to inquire into this diversity. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts. It aims at showing how collectives have valued generality and how they have worked with specific types of "general" entities, procedures, and arguments. The books connects history and philosophy of mathematics and the sciences at the intersection of two of the most fruitful contemporary lines of research...
