Introduction To The Geometry Of Complex Numbers

In 1875, Elwin Bruno Christoffel introduced a special class of words on a binary alphabet linked to continued fractions which would go onto be known as Christoffel words. Some years later, Andrey Mark

In only a decade, Macau has exploded from a sleepy backwater to the world’s casino capital. It was bound to happen. Macau, a former Portuguese colony that became a special administrative region

It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear pow

Leonardo of Pisa-better known today as Fibonacci-was the first Westerner to recognize the power of the Hindu-Arabic number system (featuring the numerals 0 through 9), which offered a much simpler met

This book aims to bring together researchers and practitioners working across domains and research disciplines to measure, model, and visualize complex networks. It collects the works presented at the

A network is a mathematical object consisting of a set of points that are connected to each other in some fashion by lines. It turns out this simple description corresponds to a bewildering array of s

?Boldly and eloquently contributing to the argument against the prison system in the United States, these provocative essays offer an ideological and practical framework for empowering prisoners inste

A network is a mathematical object consisting of a set of points (called vertices or nodes) that are connected to each other in some fashion by lines (called edges). Turns out this simple description

Unique in scope, scale, and civic aspiration, Mexico City is the ideal laboratory to test the capacity of urban design to construct a spatial synthesis from the geometric and organizational complexity

This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants. Every l

This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the k

String theory is a leading candidate for the unification of universal forces and matter, and one of its most striking predictions is the existence of small additional dimensions that have escaped detection so far. This book focuses on the geometry of these dimensions, beginning with the basics of the theory, the mathematical properties of spinors, and differential geometry. It further explores advanced techniques at the core of current research, such as G-structures and generalized complex geometry. Many significant classes of solutions to the theory's equations are studied in detail, from special holonomy and Sasaki–Einstein manifolds to their more recent generalizations involving fluxes for form fields. Various explicit examples are discussed, of interest to graduates and researchers.

One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the a comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields.

One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This book provides the a comprehensive introduction to the circle of ideas developed around the program, the prerequisites being only a basic knowledge of algebraic geometry. It will be of great interest to graduate students and researchers working in algebraic geometry and related fields.

Presents illustrations of objects demonstrating the numbers from one to ten, accompanied by the Polish words for the object and each number.

Originally published in 1927, as the first of a two-part set, this informative and systematically organised textbook, primarily aimed at university students, contains a vectorial treatment of geometry, reasoning that by the use of such vector methods, geometry is able to be 'both simplified and condensed'. Chapters I-XI discuss the more elementary parts of the subject, whilst the remainder is devoted to an exploration of the more complex differential invariants for a surface and their applications. Chapter titles include, 'Curves with torsion', 'Geodesics and geodesic parallels' and 'Triply orthogonal systems of surfaces'. Diagrams are included to supplement the text. Providing a detailed overview of the subject and forming a solid foundation for study of multidimensional differential geometry and the tensor calculus, this book will prove an invaluable reference work to scholars of mathematics as well as to anyone with an interest in the history of education.

Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers

The book of Numbers is the story of the people of Israel in the wilderness as they departed from slavery in Egypt to the freedom of the promised land of Canaan. It contains a variety of materials rel

The Geometry of Type explores 100 traditional and modern typefaces in detail, with a full spread devoted to each entry. Characters from each typeface are enlarged and annotated to reveal key features,

Alfred Robb (1873–1936) was a British physicist who worked extensively in the area of special relativity. Originally published in 1936, this book essentially formed a second edition to Robb's A Theory of Time and Space (1914). The alteration in the title was made since it was thought the word 'geometry' better reflected the contents of the text. A considerable amount of fresh material was introduced for the second edition, with the introduction being rewritten and extended, whilst the proofs of a number of theorems were curtailed and simplified. This book will be of value to anyone with an interest in special relativity and the history of science.

Qualitative Comparative Analysis (QCA) is an emerging research method that is highly suitable for evaluation studies. Clear and concise, this book explains how researchers and evaluators can use QCA e

Offering the broadest review of psychological perspectives on human expertise to date, this volume covers behavioral, computational, neural, and genetic approaches to understanding complex skill. The

Offering the broadest review of psychological perspectives on human expertise to date, this volume covers behavioral, computational, neural, and genetic approaches to understanding complex skill. The

In our busy lives as individuals, strict deadlines, hectic schedules, cost-conscious business environment, we are forced to deal with the fact that it’s the norm. Regardless if you are an executive si

In this book, Bleda Düring offers an archaeological analysis of Asia Minor, the area equated with much of modern-day Turkey, from 20,000 to 2,000 BC. During this period human societies moved from small-scale hunter-gatherer groups to complex and hierarchical communities with economies based on agriculture and industry. Dr Düring traces the spread of the Neolithic way of life, which ultimately reached across Eurasia, and the emergence of key human developments, including the domestication of animals, metallurgy, fortified towns and long-distance trading networks. Situated at the junction between Europe and Asia, Asia Minor has often been perceived as a bridge for the movement of technologies and ideas. By contrast, this book argues that cultural developments followed a distinctive trajectory in Asia Minor from as early as 9,000 BC.

Introduces the game of chess and its basic moves, then shows how to apply problem-solving skills to chess problems of varying difficulty.

Democratization in South Africa has been accompanied by continuing and even deepening economic inequalities. Rather than proposing a blueprint for a more equable economic system, this book presents th