Linear Algebra

Linear Algebra

Every student of mathematics needs a sound grounding in the techniques of linear algebra. It forms the basis of the study of linear equations, matrices, linear mappings, and differential equations, and comprises a central part of any course in mathematics. This textbook provides a rigorous introduction to the main concepts of linear algebra which will be suitable for all students coming to the subject for the first time. The book is in two parts: Part One develops the basic theory of vector spaces and linear maps, including dimension, determinants, and eigenvalues and eigenvectors. Part Two goes on to develop more advanced topics and in particular the study of canonical forms for matrices. Professor Berberian is at pains to explain all the ideas underlying the proofs of results as well as to give numerous examples and applications. There is an abundant supply of exercises to reinforce the reader’s grasp of the material and to elaborate on ideas from the text. As a result, this book presents a well-rounded and mathematically sound first course in linear algebra.

Linear Algebra

Progress and New Trends in 3D Geoinformation Sciences

Progress and New Trends in 3D Geoinformation Sciences

The integration of the 3rd dimension in the production of spatial representation is largely recognized as a valuable approach to comprehend our reality, that is 3D. During the last decade developments in 3D Geoinformation (GI) system have made substantial progress. We are about to have a more complete spatial model and understanding of our planet in different scales. Hence, various communities and cities offer 3D landscape and 3D city models as valuable source and instrument for sustainable management of rural and urban resources. Also municipal utilities, real estate companies benefit from recent developments related to 3D applications.

Progress and New Trends in 3D Geoinformation Sciences

Fractals and Universal Spaces in Dimension Theory

Fractals and Universal Spaces in Dimension Theory

Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods – the classical (separable metric) and the modern (not-necessarily separable metric). The classical theory is now well documented in several books. This monograph is the first book to unify the modern theory from 1960-2007. Like the classical theory, the modern theory fundamentally involves the unit interval. Unique features include: * The use of graphics to illustrate the fractal view of these spaces; * Lucid coverage of a range of topics including point-set topology and mapping theory, fractal geometry, and algebraic topology; * A final chapter contains surveys and provides historical context for related research that includes other imbedding theorems, graph theory, and closed imbeddings; * Each chapter contains a comment section that provides historical context with references that serve as a bridge to the literature. This monograph will be useful to topologists, to mathematicians working in fractal geometry, and to historians of mathematics. Being the first monograph to focus on the connection between generalized fractals and universal spaces in dimension theory, it will be a natural text for graduate seminars or self-study – the interested reader will find many relevant open problems which will create further research into these topics.

Fractals and Universal Spaces in Dimension Theory

Genocide, War Crimes and the West

Genocide, War Crimes and the West

Genocide and war crimes are increasingly the focus of scholarly and activist attention. Much controversy exists over how, precisely, these grim phenomena should be defined and conceptualized. Genocide, War Crimes & the West tackles this controversy, and clarifies our understanding of an important but under-researched dimension: the involvement of the US and other liberal democracies in actions that are conventionally depicted as the exclusive province of totalitarian and authoritarian regimes.

Genocide, War Crimes and the West

Programming Sound with Pure Data

Programming Sound with Pure Data

Sound gives your native, web, or , apps that extra dimension, and it’s essential for games. Rather than using canned samples from a sample library, learn how to build sounds from the ground up and produce them for web projects using the Pure Data , language. Even better, you’ll be able to integrate dynamic sound environments into your native apps or games-sound that reacts to the app, instead of sounding the same every time. Start your journey as a sound designer, and get the power to craft the sound you put into your digital experiences.,

Add sound effects or music to your web, Android, and , apps and games–sound that can react to changing environments or user input dynamically (at least in the native apps). You can do all this with Pure Data, a visual programming language for digital sound processing.

Programming Sound with Pure Data