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Advanced Calculus for Economics and Finance : Theory and Methods
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ISBN: 3031303164 3031303156 Year: 2023 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This textbook provides a comprehensive introduction to mathematical calculus. Written for advanced undergraduate and graduate students, it teaches the fundamental mathematical concepts, methods and tools required for various areas of economics and the social sciences, such as optimization and measure theory. The reader will be introduced to topological, metric and normed spaces, learning about numerical sequences, series, and differential and integral calculus. These concepts are introduced using the axiomatic approach as a tool for logical reasoning, consistency, and formalization of ideas. The book follows a theorem-proving approach, stressing the limitations of applying the different theorems, while providing thought-provoking counter-examples. Each chapter features exercises that facilitate learning and allow students to apply and test important concepts and tools.

Mathematics for social scientists
Authors: --- ---
ISBN: 0444990666 9780444990662 Year: 1980 Publisher: New York : Elsevier,


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Economic Policy of the People's Republic of China
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ISBN: 9783658384678 Year: 2023 Publisher: Wiesbaden Springer Fachmedien Wiesbaden :Imprint: Springer Gabler

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This book deals with the current economic policy of the People's Republic of China. In addition to a brief overview of the economic history since the founding and the economic models, an overview of both the forms of enterprises and the Chinese labor market is given. The book pays particular attention to the development of China's e-commerce sector. Equally significant are China's environmental issues against the backdrop of the climate crisis. Without innovations, for example in energy production and waste management, the Chinese economy will hardly be able to continue growing. Therefore, one focus of the book is on environmental economic policy. Finally, foreign policy, including the Silk Road Initiative, is examined. The aim of this book is to highlight the above developments. It is aimed at practitioners involved in China business as well as first-year students who want an overview of economic policy institutions and current developments. The content State structure and actors of the economy Current economic development Labour market E-commerce Food, environment and energy policy International Relations The Editor Barbara Darimont is Professor of China Economics at the East Asia Institute of the Ludwigshafen University of Applied Sciences. Before that, she worked for ten years at the Max Planck Institute for Social Law in Munich, where she set up the China Department with renowned Chinese institutions. This book is a translation of an original German edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.


Book
Stochastic Processes and Financial Mathematics
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ISBN: 9783662647110 Year: 2023 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg :Imprint: Springer

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The book provides an introduction to advanced topics in stochastic processes and related stochastic analysis, and combines them with a sound presentation of the fundamentals of financial mathematics. It is wide-ranging in content, while at the same time placing much emphasis on good readability, motivation, and explanation of the issues covered. This book is a translation of the original German 1st edition Stochastische Prozesse und Finanzmathematik by Ludger Rüschendorf, published by Springer-Verlag GmbH Germany, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com) and in a subsequent editing, improved by the author. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors. Financial mathematical topics are first introduced in the context of discrete time processes and then transferred to continuous-time models. The basic construction of the stochastic integral and the associated martingale theory provide fundamental methods of the theory of stochastic processes for the construction of suitable stochastic models of financial mathematics, e.g. using stochastic differential equations. Central results of stochastic analysis such as the Itô formula, Girsanov's theorem and martingale representation theorems are of fundamental importance in financial mathematics, e.g. for the risk-neutral valuation formula (Black-Scholes formula) or the question of the hedgeability of options and the completeness of market models. Chapters on the valuation of options in complete and incomplete markets and on the determination of optimal hedging strategies conclude the range of topics. Advanced knowledge of probability theory is assumed, in particular of discrete-time processes (martingales, Markov chains) and continuous-time processes (Brownian motion, Lévy processes, processes with independent increments, Markov processes). The book is thus suitable for advanced students as a companion reading and for instructors as a basis for their own courses. The Author Prof. Dr. Ludger Rüschendorf is professor at the University of Freiburg in the field of mathematical stochastics since 1993. Previously, he taught and conducted research at the universities of Hamburg, Aachen, Freiburg, and Münster.


Book
Proceedings of the Second International Forum on Financial Mathematics and Financial Technology
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ISBN: 9819923662 9819923654 Year: 2023 Publisher: Singapore : Springer Nature Singapore : Imprint: Springer,

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This open access book is the documentary of the Second International Forum on Financial Mathematics and Financial Technology, with focus on selected aspects of the current and upcoming trends in FinTech. In detail, the included scientific papers cover financial mathematics and FinTech, presenting the innovative mathematical models and state-of-the-art technologies such as deep learning, with the aim to improve the financial analysis and decision-making and enhance the quality of financial services and risk control. The variety of the papers delivers added value for both scholars and practitioners where they will find perfect integration of elegant mathematical models and up-to-date data mining technologies in financial market analysis. Due to COVID-19, the conference was held virtually on August 13–15, 2021, jointly held by the School of Mathematics of Renmin University of China, the Engineering Research Center of Financial Computing and Digital Engineering of Ministry of Education, the Statistics and Big Data Research Institute of Renmin University of China, the Blockchain Research Institute of Renmin University of China, the Zhongguancun Internet Finance Research Institute, and the Renmin University Press.

Game theory : a critical introduction
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ISBN: 0415094038 9780415094030 Year: 1995 Publisher: London ; New York Routledge


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Finite mathematics with applications for business and social sciences
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ISBN: 0471547441 Year: 1992 Publisher: New York Chichester Toronto Wiley

Fuzzy set analysis for behavioral and social sciences
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ISBN: 0387964312 3540964312 1461246806 9780387964317 Year: 1987 Publisher: New York (N.Y.): Springer

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Game theory : a critical text
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ISBN: 0415250951 0415250943 9780415250948 9780415250955 Year: 2004 Publisher: London Routledge


Book
A Mathematical Primer for Social Statistics Second Edition
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ISBN: 9781071833209 9781071833247 9781071833230 9781071833223 1071833227 1071833200 1071833235 1071833243 1071878832 Year: 2021 Volume: 159 Publisher: Los Angeles, CA : SAGE Publications, Inc.,

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A Mathematical Primer for Social Statistics, Second Edition presents mathematics central to learning and understanding statistical methods beyond the introductory level: the basic "language" of matrices and linear algebra and its visual representation, vector geometry; differential and integral calculus; probability theory; common probability distributions; statistical estimation and inference, including likelihood-based and Bayesian methods. The volume concludes by applying mathematical concepts and operations to a familiar case, linear least-squares regression.

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