Spatial development is a discipline aimed at the protection of specific values and rational development by stimulating economic processes. Modern practices challenge developers to minimize the negative impact of urban development on the environment. In order to adhere to this policy, bioeconomical solutions and investments can be utilized. Bioeconomical Solutions and Investments in Sustainable City Development is an essential source that explores the development of sustainable city models based on investments in eco-oriented solutions by protecting and making publicly available green areas and by innovative investments with the use of bioeconomical solutions. Featuring research on topics such as bioeconomy vision, environmental education, and rural planning, this book is ideally designed for architects, urban planners, city authorities, experts, officers, business representatives, economists, politicians, academicians, and researchers.

This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative - almost like a story being told - that does not impede sophistication and deep results.It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked. Among these is Clifford Algebra and its uses in conjunction with differential forms and moving frames. It opens new research vistas that expand the subject matter.In an appendix on the classical theory of curves and surfaces, the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing treatments that also use differential forms for the same purpose.

Spatial development is a discipline aimed at the protection of specific values and rational development by stimulating economic processes. Modern practices challenge developers to minimize the negative impact of urban development on the environment. In order to adhere to this policy, bioeconomical solutions and investments can be utilized. Bioeconomical Solutions and Investments in Sustainable City Development is an essential source that explores the development of sustainable city models based on investments in eco-oriented solutions by protecting and making publicly available green areas and by innovative investments with the use of bioeconomical solutions. Featuring research on topics such as bioeconomy vision, environmental education, and rural planning, this book is ideally designed for architects, urban planners, city authorities, experts, officers, business representatives, economists, politicians, academicians, and researchers.

This book lets readers understand differential geometry with differential forms. It is unique in providing detailed treatments of topics not normally found elsewhere, like the programs of B. Riemann and F. Klein in the second half of the 19th century, and their being superseded by E. Cartan in the twentieth. Several conservation laws are presented in a unified way. The Einstein 3-form rather than the Einstein tensor is emphasized; their relationship is shown. Examples are chosen for their pedagogic value. Numerous advanced comments are sprinkled throughout the text. The equations of structure are addressed in different ways. First, in affine and Euclidean spaces, where torsion and curvature simply happen to be zero. In a second approach, the 2-torus and the punctured plane and 2-sphere are endowed with the "Columbus connection," torsion becoming a concept which could have been understood even by sailors of the 15th century. Those equations are then presented as the breaking of integrability conditions for connection equations. Finally, a topological definition brings together the concepts of connection and equations of structure. These options should meet the needs and learning objectives of readers with very different backgrounds. Dr Howard E Brandt