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A rigorous introduction to calculus in vector spaces The concepts and theorems of advanced calculus combined withrelated computational methods are essential to understanding nearlyall areas of quantitative science. Analysis in Vector Spacespresents the central results of this classic subject throughrigorous arguments, discussions, and examples. The book aims tocultivate not only knowledge of the major theoretical results, butalso the geometric intuition needed for both mathematicalproblem-solving and modeling in the formal sciences. The authors begin with an outline of key concepts, terminology,and notation and also provide a basic introduction to set theory,the properties of real numbers, a...
This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.
Critically discusses the increasing significance of Asian States in the field of international investment law and policy. Contains analyses of national investment law rule-making in Asia, contributions of Asian States on cutting-edge developments to the global community, and contemplates future possibilities for investor-State dispute settlement.
International Investment Treaties and Arbitration Across Asia brings together leading academics and practitioners to examine whether and how the Asian region has or may become a significant ‘rule maker’ in contemporary international investment law and dispute resolution. The editors introduce FDI trends and regulations, investment treaties and arbitration across Asia. Authors add country studies for the ten member states of the Association of Southeast Asian Nations as well as an overview of ASEAN treaties, or examine other potential ‘middle powers’ (Korea, Australia and New Zealand collectively) and the emerging ‘big players’ (China, Japan and India). Two early chapters present econometric studies of treaty impact on FDI flows, in aggregate as well as for Thailand, while two concluding chapters offer other normative and forward-looking perspectives.
This book provides a contextual analysis of ASEAN law and its impact on the business and commercial aspect of laws.
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The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions. In a unifying way, where the square gradient operator is employed, new results for backward stochastic differential equations and long-time behavior are discussed in depth. The book also establishes a link between propagators or evolution families with the Feller property and time-inhomogeneous Markov processes. This mathematical material finds its applications in several branches of the scientific world, among which are mathematical physics, hedging models in financial mathematics, and population models.
International business exchanges between and with Asian countries have increased enormously over the last few years. As a natural consequence, this has brought about an increasing number of trade disputes that are being resolved through arbitration as an effective alternative to more expensive litigation. This volume offers a variety of perspectives on this important international dispute resolution practice in Asia. Essentially interdisciplinary in approach, it brings together specialists in law, international commercial arbitration and discourse analysis. The contributing authors include practitioners as well as academics. Together they explore the interrelations between discourses and pra...