This book aims to make the subject of geometry and its applications easy and comfortable to understand by students majoring in mathematics or the liberal arts, architecture and design. It can be used to teach students at different levels of computational ability and there is also sufficient novel material to interest students at a higher cognitive level. While the book goes deeply into the applications of geometry, it contains much introductory material which up to now may not have been known to the student. The constructive approach using compass and straightedge engages students, not just on an intellectual level, but also at a tactile level. This may be the only rigorous book offering geometry that attempts to engage students outside of the mathematics discipline.

This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs.

Extensive work is a result of four year research within the international project Women's Creativity since the Modern Movement, and brings new insights into women in architecture, construction, design, urban planning and landscape architecture in Europe and in the rest of the world. It is divided into eight chapters that combine 116 articles on topics: A. Women’s education and training: National and international mappings; B. Women’s legacy and heritage: Protection, restoration and enhancement; C. Women in communication and professional networks; D. Women and cultural tourism; E. Women’s achievements and professional attainments: Moving boundaries; F. Women and sustainability: City and Landscape; G. Women ‘as subjects’: Documentation, methodology, interpretation and enhancement; SG. Design drawings. / Obsežno delo je plod štiriletnih raziskav v okviru mednarodnega projekta MoMoWo - Ženska ustvarjalnost od modernizma dalje in prinaša nova spoznanja na področju žensk v arhitekturi, gradbeništvu, oblikovanju, urbanizmu in krajinski arhitekturi v Evropi in širše. Razdeljena je v osem poglavij, ki združujejo 116 prispevkov na temo o njihovi izobraženosti, kulturni zapuščini, vključevanju v stanovska združenja ali njihovim prispevkom h kulturnemu turizmu in stroki ter raziskovanju njihovega dela. Zaključi jo poglavje z grafičnimi prilogami.

In 1854, B Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P Finsler studied the variation problem in regular metric spaces. Around 1926, L Berwald extended Riemann's notion of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then, Finsler geometry has developed steadily. In his Paris address in 1900, D Hilbert formulated 23 problems, the 4th and 23rd problems being in Finsler's category. Finsler geometry has broader applications in many areas of science and will continue to develop through the efforts of many geometers around the world.Usually, the methods employed in Finsler geometry involve very complicated tensor computations. Sometimes this discourages beginners. Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern metric geometry point of view. The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces and Gromov's Hausdorff convergence theory.

The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Knhlerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous spaces and cohomology. The theory also finds deep relation to information geometry in applied mathematics. This systematic introduction to the subject first develops the fundamentals of Hessian structures on the basis of a certain pair of a flat connection and a Riemannian metric, and then describes these related fields as applications of the theory."

This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.

Virtual reality (VR) is one of the technologies with the highest expectations for future growth. By creating realistic images and objects, a VR environment gives the user the impression that they are completely engrossed in their surroundings. VR applications that go beyond leisure, tourism, and marketing are now in high demand and thus the technology must be user-friendly and economical. The major technology firms are already striving to create headsets that do not require cables and that allow for high-definition viewing. Artificial intelligence is being used to control VR headsets that have far more powerful CPUs. The new standard will also offer some intriguing capabilities, like the ability to connect huge user communities and additional gadgets. Customers will be able to get photos in real-time in corporate settings, almost as if they were seeing them with their own eyes. This book presents a comprehensive overview of VR applications in medicine, electric vehicles, aviation, architecture, and more.