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Higher Categories and Homotopical Algebra (Cambridge Studies in Advanced Mathematics)
Higher Categories and Homotopical Algebra (Cambridge Studies in Advanced Mathematics)
This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as...
Quantum Computer Science (Synthesis Lectures on Quantum Computing)
Quantum Computer Science (Synthesis Lectures on Quantum Computing)
In this text we present a technical overview of the emerging field of quantum computation along with new research results by the authors. What distinguishes our presentation from that of others is our focus on the relationship between quantum computation and computer science. Specifically, our emphasis is on the computational model of quantum...
Mathematics of Shapes and Applications (Lecture Notes, Institute for Masthematical Sciences, National University of Singapore)
Mathematics of Shapes and Applications (Lecture Notes, Institute for Masthematical Sciences, National University of Singapore)
Understanding how a single shape can incur a complex range of transformations, while defining the same perceptually obvious figure, entails a rich and challenging collection of problems, at the interface between applied mathematics, statistics and computer science. The program on Mathematics of Shapes and Applications, was held at the Institute...
Mathematics for Computer Graphics
Mathematics for Computer Graphics
Baffled by maths? Then don't give up hope. John Vince will show you how to understand many of the mathematical ideas used in computer animation, virtual reality, CAD, and other areas of computer graphics. In thirteen chapters you will rediscover - and hopefully discover for the first time a new way of understanding - the mathematical techniques...
Beginning ARKit for iPhone and iPad: Augmented Reality App Development for iOS
Beginning ARKit for iPhone and iPad: Augmented Reality App Development for iOS

Explore how to use ARKit to create iOS apps and learn the basics of augmented reality while diving into ARKit specific topics. This book reveals how augmented reality allows you to view the screen on an iOS device, aim the camera at a nearby scene, and view both the real items in that scene as well as a graphic image overlaid on to...

Geometric Fundamentals of Robotics (Monographs in Computer Science)
Geometric Fundamentals of Robotics (Monographs in Computer Science)
Geometric Fundamentals of Robotics provides an elegant introduction to the geometric concepts that are important to applications in robotics. This second edition is still unique in providing a deep understanding of the subject: rather than focusing on computational results in kinematics and robotics, it includes significant state-of-the...
The Optics of Life: A Biologist's Guide to Light in Nature
The Optics of Life: A Biologist's Guide to Light in Nature

Optics--a field of physics focusing on the study of light--is also central to many areas of biology, including vision, ecology, botany, animal behavior, neurobiology, and molecular biology. The Optics of Life introduces the fundamentals of optics to biologists and nonphysicists, giving them the tools they need to successfully incorporate...

Meshing, Geometric Modeling and Numerical Simulation, Volume 2: Metrics, Meshes and Mesh Adaptation (Geometric Modeling and Applications)
Meshing, Geometric Modeling and Numerical Simulation, Volume 2: Metrics, Meshes and Mesh Adaptation (Geometric Modeling and Applications)

Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in...

The Legacy of Albert Einstein: A Collection of Essays in Celebration of the Year of Physics
The Legacy of Albert Einstein: A Collection of Essays in Celebration of the Year of Physics
"In this slender volume, about a dozen experts reflect succinctly on a variety of currently interesting topics, from black hole entropy in string theory to the challenge of dark energy. The book should interest primarily graduate students in physics and also some undergraduates ... is a fine reflection of the internationalism of modern science...
Linear Algebra: A Geometric Approach
Linear Algebra: A Geometric Approach
One of the most enticing aspects of mathematics, we have found, is the interplay of ideas from seemingly disparate disciplines of the subject. Linear algebra provides a beautiful illustration of this, in that it is by nature both algebraic and geometric. ...
The Concept of Number: From Quaternions to Monads and Topological Fields (Mathematics and Its Applications)
The Concept of Number: From Quaternions to Monads and Topological Fields (Mathematics and Its Applications)
This book consists of lectures that I have given, in Darmstadt since 1974, under various titles, for beginners or students of the third semester.

I have tried to concentrate on those themes concerning numbers, which seem to me to be the most important on essential and historical grounds, and which in my opinion
...
Algorithmic Algebra (Monographs in Computer Science)
Algorithmic Algebra (Monographs in Computer Science)
Algorithmic Algebra studies some of the main algorithmic tools of computer algebra, covering such topics as Gröbner bases, characteristic sets, resultants and semialgebraic sets. The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the...
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