This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the Riemann-Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi-Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses.

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the Riemann-Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi-Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses.

An in-depth examination of the concept of value in a digital world, an analysis of a range of digital business models and a framework for assessing the value of digital businesses. Assessing the value of traditional business was easy. There are hard, well tested metrics and tangible, measurable assets you can literally kick the tyres of. But how do you measure the value of something that consists of little more than bits of information, brand awareness and a compelling idea? In the winner takes all digital world how do you know if this idea is one that will attract billions of dedicated users or a few thousand fleeting trialists? And, most importantly, how do you assess whether any given business model is robust enough to make billions or flawed in a way that will lose millions? Lopez Lubian and Esteves look at what economic value means in a digital world, and argue for a shift from traditional value metrics to digital value metrics. Through high profile case studies they examine the process of valuation in the digital world - examining the challenges of making objective judgments from subjective information and how to assess the value of data. Next they analyse in depth a number of different digital business models from the perspective of delivering value to investors, stakeholders and society at large. Finally they present a framework model for assessing value in digital business.

In recent years the continuity of many firms has been achieved by restructuring, a task which takes up a great deal of senior management's time. Written for busy managers and executives, this book is a practical guide to the process of restructuring, covering both debt and operational restructures.

The emergence of fungicide resistance is a major challenge facing agriculture. With increasing regulation and costs limiting the development of new fungicides, farmers remain reliant on a relatively small group of working fungicides, many of which are decreasingly effective as major crop disease pathogens develop resistance to them. Understanding and minimising fungicide resistance provides an authoritative review on the wealth of research on understanding the development of fungicide resistance in agricultural crops and the establishment of preventative measures which can be implemented to limit its spread and the consequent impact of disease on yields. This collection includes ways of understanding and preventing resistance to key groups of fungicides, such as SBI, Qol, SDHI, OSPBI and multisite inhibitor fungicides.

The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in $\mathbb{R}^n$ for any $n\ge 3$. These methods, which the authors develop essentially from the first principles, enable them to prove that the space of conformal minimal immersions of a given bordered non-orientable surface to $\mathbb{R}^n$ is a real analytic Banach manifold, obtain approximation results of Runge-Mergelyan type for conformal minimal immersions from non-orientable surfaces, and show general position theorems for non-orientable conformal minimal surfaces in $\mathbb{R}^n$. The authors also give the first known example of a properly embedded non-orientable minimal surface in $\mathbb{R}^4$; a Mobius strip. All the new tools mentioned above apply to non-orientable minimal surfaces endowed with a fixed choice of a conformal structure. This enables the authors to obtain significant new applications to the global theory of non-orientable minimal surfaces. In particular, they construct proper non-orientable conformal minimal surfaces in $\mathbb{R}^n$ with any given conformal structure, complete non-orientable minimal surfaces in $\mathbb{R}^n$ with arbitrary conformal type whose generalized Gauss map is nondegenerate and omits $n$ hyperplanes of $\mathbb{CP}^{n-1}$ in general position, complete non-orientable minimal surfaces bounded by Jordan curves, and complete proper non-orientable minimal surfaces normalized by bordered surfaces in $p$-convex domains of $\mathbb{R}^n$.

An in-depth examination of the concept of value in a digital world, an analysis of a range of digital business models and a framework for assessing the value of digital businesses. Assessing the value of traditional business was easy. There are hard, well tested metrics and tangible, measurable assets you can literally kick the tyres of. But how do you measure the value of something that consists of little more than bits of information, brand awareness and a compelling idea? In the winner takes all digital world how do you know if this idea is one that will attract billions of dedicated users or a few thousand fleeting trialists? And, most importantly, how do you assess whether any given business model is robust enough to make billions or flawed in a way that will lose millions? Lopez Lubian and Esteves look at what economic value means in a digital world, and argue for a shift from traditional value metrics to digital value metrics. Through high profile case studies they examine the process of valuation in the digital world - examining the challenges of making objective judgments from subjective information and how to assess the value of data. Next they analyse in depth a number of different digital business models from the perspective of delivering value to investors, stakeholders and society at large. Finally they present a framework model for assessing value in digital business.