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Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the book: Where is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics? These four questions refer to the ontological, epistemological, social, and ethical dimension of a philosophy of mathematics. While the ontological and epistemological dimensions have been explored in all classic studies in the philosophy of mathematics, the exploration of the book is unique in its social and ethical dimensions. It argues that the foundation of mathematics is deeply connected to human and social actions and that mathematics includes not just descriptive but also performative features. This human-centered and accessible interpretation of mathematics is relevant for students in mathematics, mathematics education, and any technical discipline and for anybody working with mathematics.
"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.
The main topic of this book is the recent development of on-board advanced driver-assistance systems (ADAS), which we can already tell will eventually contribute to the autonomous and connected vehicles of tomorrow. With the development of automated mobility, it becomes necessary to design a series of modules which, from the data produced by on-board or remote information sources, will enable the construction of a completely automated driving system. These modules are perception, decision and action. State-of-the-art AI techniques and their potential applications in the field of autonomous vehicles are described. Perception systems, focusing on visual sensors, the decision module and the prototyping, testing and evaluation of ADAS systems are all presented for effective implementation on autonomous and connected vehicles. This book also addresses cooperative systems, such as pedestrian detection, as well as the legal issues in the use of autonomous vehicles in open environments.
An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
A bold, illuminating new take on the love of animals that drove human evolution. Why do humans all over the world take in and nurture other animals? This behavior might seem maladaptive—after all, every mouthful given to another species is one that you cannot eat—but in this heartening new study, acclaimed anthropologist Pat Shipman reveals that our propensity to domesticate and care for other animals is in fact among our species' greatest strengths. For the last 2.6 million years, Shipman explains, humans who coexisted with animals enjoyed definite adaptive and cultural advantages. To illustrate this point, Shipman gives us a tour of the milestones in human civilization-from agriculture to art and even language—and describes how we reached each stage through our unique relationship with other animals. The Animal Connection reaffirms our love of animals as something both innate and distinctly human, revealing that the process of domestication not only changed animals but had a resounding impact on us as well.
Written for undergraduate biomechanics courses, Applied Biomechanics: Concepts and Connections, Second Edition is a comprehensive resource that focuses on making connections between biomechanics and other subdisciplines of exercise science. With that in mind, each chapter contains a Concepts section and a Connections section. The Concepts are the core nuts and bolts of understanding the mechanics of movement. The Connections are designed to show how the Concepts are used in the many diverse areas within the movement sciences.
This work focuses on the impact of human activity on the geological environment and contains over 100 papers dealing with laboratory and field research investigations in geomechanics, geoengineering and mathematical modelling. Topics covered are grouped into eight main themes: response of the rock mass to human impact; slope stability; field research; laboratory research; stability of underground openings; mathematical modelling; stress measurements, and mineral and rock disintegration.
Psychology, quantitative or qualitative, tends to conceive of the human person using metaphysical concepts and to separate the practical, affective, and intellectual aspects of participation in everyday life. Lev S. Vygotsky, however, was working towards a "concrete human psychology," a goal that he expresses in a small, unfinished text of the same name. This book articulates the foundation of and develops such a concrete human psychology according to which all higher psychological functions are relations between persons before being functions, and according to which personality is the ensemble of societal relations with others that a person has lived and experienced. Correlated with concern for the concreteness of human life and the psychology that theorizes it is the idea that to live means to change. However, none of the categories we currently have in psychology are categories of change as such. In this work of concrete human psychology, categories are developed on the basis of Vygotsky’s work that are suitable to theorize an ever-changing life, including the language humans use to take control over their conditions and to talk about the conditions in which they live.