Mathematical Methods And Quantum Mathematics For Economics And Finance
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Mathematical Methods And Quantum Mathematics For Economics And Finance
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Author : Belal Ehsan Baaquie
language : en
Publisher: Springer Nature
Release Date : 2020-08-10
Mathematical Methods And Quantum Mathematics For Economics And Finance written by Belal Ehsan Baaquie and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-10 with Business & Economics categories.
Given the rapid pace of development in economics and finance, a concise and up-to-date introduction to mathematical methods has become a prerequisite for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance–and leading to the more advanced subject of quantum mathematics. The content is divided into five major sections: mathematical methods are covered in the first four sections, and can be taught in one semester. The book begins by focusing on the core subjects of linear algebra and calculus, before moving on to the more advanced topics of probability theory and stochastic calculus. Detailed derivations of the Black-Scholes and Merton equations are provided – in order to clarify the mathematical underpinnings of stochastic calculus. Each chapter of the first four sections includes a problem set, chiefly drawn from economics and finance. In turn, section five addresses quantum mathematics. The mathematical topics covered in the first four sections are sufficient for the study of quantum mathematics; Black-Scholes option theory and Merton’s theory of corporate debt are among topics analyzed using quantum mathematics.
Quantum Field Theory For Economics And Finance
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Author : B. E. Baaquie
language : en
Publisher: Cambridge University Press
Release Date : 2018-08-23
Quantum Field Theory For Economics And Finance written by B. E. Baaquie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-23 with Business & Economics categories.
This book provides an introduction to how the mathematical tools from quantum field theory can be applied to economics and finance. Providing a range of quantum mathematical techniques for designing financial instruments, it demonstrates how a range of topics have quantum mechanical formulations, from asset pricing to interest rates.
Mathematics For Economics And Finance
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Author : Martin Anthony
language : en
Publisher: Cambridge University Press
Release Date : 1996-07-13
Mathematics For Economics And Finance written by Martin Anthony and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-13 with Mathematics categories.
Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.
Advanced Mathematical Methods
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Author : Adam Ostaszewski
language : en
Publisher: Cambridge University Press
Release Date : 1990
Advanced Mathematical Methods written by Adam Ostaszewski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
This text is a self-contained second course on mathematical methods dealing with topics in linear algebra and multivariate calculus that can be applied to statistics.
Quantum Finance
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Author : Belal E. Baaquie
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-23
Quantum Finance written by Belal E. Baaquie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-23 with Business & Economics categories.
This book applies the mathematics and concepts of quantum mechanics and quantum field theory to the modelling of interest rates and the theory of options. Particular emphasis is placed on path integrals and Hamiltonians. Financial mathematics is dominated by stochastic calculus. The present book offers a formulation that is completely independent of that approach. As such many results emerge from the ideas developed by the author. This work will be of interest to physicists and mathematicians working in the field of finance, to quantitative analysts in banks and finance firms and to practitioners in the field of fixed income securities and foreign exchange. The book can also be used as a graduate text for courses in financial physics and financial mathematics.
Mathematical Models Of Financial Derivatives
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Author : Yue-Kuen Kwok
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-10
Mathematical Models Of Financial Derivatives written by Yue-Kuen Kwok and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-10 with Mathematics categories.
Objectives and Audience In the past three decades, we have witnessed the phenomenal growth in the trading of financial derivatives and structured products in the financial markets around the globe and the surge in research on derivative pricing theory. Leading financial ins- tutions are hiring graduates with a science background who can use advanced analytical and numerical techniques to price financial derivatives and manage portfolio risks, a phenomenon coined as Rocket Science on Wall Street. There are now more than a hundred Master level degree programs in Financial Engineering/Quantitative Finance/Computational Finance on different continents. This book is written as an introductory textbook on derivative pricing theory for students enrolled in these degree programs. Another audience of the book may include practitioners in quantitative teams in financial institutions who would like to acquire the knowledge of option pricing techniques and explore the new development in pricing models of exotic structured derivatives. The level of mathematics in this book is tailored to readers with preparation at the advanced undergraduate level of science and engineering majors, in particular, basic profiiencies in probability and statistics, differential equations, numerical methods, and mathematical analysis. Advance knowledge in stochastic processes that are relevant to the martingale pricing theory, like stochastic differential calculus and theory of martingale, are introduced in this book. The cornerstones of derivative pricing theory are the Black–Scholes–Merton pricing model and the martingale pricing theory of financial derivatives.
Mathematics For Finance Business And Economics
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Author : Irénée Dondjio
language : en
Publisher: Routledge
Release Date : 2019-12-11
Mathematics For Finance Business And Economics written by Irénée Dondjio and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-11 with Business & Economics categories.
Mastering the basic concepts of mathematics is the key to understanding other subjects such as Economics, Finance, Statistics, and Accounting. Mathematics for Finance, Business and Economics is written informally for easy comprehension. Unlike traditional textbooks it provides a combination of explanations, exploration and real-life applications of major concepts. Mathematics for Finance, Business and Economics discusses elementary mathematical operations, linear and non-linear functions and equations, differentiation and optimization, economic functions, summation, percentages and interest, arithmetic and geometric series, present and future values of annuities, matrices and Markov chains. Aided by the discussion of real-world problems and solutions, students across the business and economics disciplines will find this textbook perfect for gaining an understanding of a core plank of their studies.
Looking Beyond The Frontiers Of Science Dedicated To The 80th Birthday Of Kk Phua
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Author : Lars Brink
language : en
Publisher: World Scientific
Release Date : 2022-07-25
Looking Beyond The Frontiers Of Science Dedicated To The 80th Birthday Of Kk Phua written by Lars Brink and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-25 with Science categories.
Professor Kok Khoo Phua is the Founding Director and Emeritus Professor of the Institute of Advanced Studies (IAS) at Nanyang Technological University (NTU) and Adjunct Professor of Department of Physics both at Nanyang Technological University (NTU) and National University of Singapore (NUS). He is the Chairman and Editor-in-Chief of World Scientific Publishing Co Pte Ltd.When he was elected a Fellow of the American Physical Society (APS) in 2009, the citation read: 'For tireless efforts to strengthen scientific research throughout Asia and promote international physics education and scholarly exchanges, and for enriching science and education through the World Scientific Publishing Company he founded.'This unique volume on the occasion of his 80th birthday is a compilation of tributes from his friends who have known him for decades along with scientific articles that celebrate his visionary approach to promote science worldwide.
Quantum Computers
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Author : Belal Ehsan Baaquie
language : en
Publisher: Springer Nature
Release Date : 2023-01-03
Quantum Computers written by Belal Ehsan Baaquie and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-03 with Science categories.
This book presents various theories and algorithms to create a quantum computer. The concept of the classical and quantum computers, and the concept of circuits and gates are reviewed. The example of the Deutsch and the Deutsch-Josca algorithm is discussed to illustrate some key features of quantum computing. The Grover algorithm, considered to be of major milestone of the subject, is discussed in detail to exemplify the techniques used in computer algorithms. The role of quantum superposition (also called quantum parallelism) and of quantum entanglement is discussed in order to understand the key advantages of a quantum over a classical computer.
Mathematical Economics
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Author : Akira Takayama
language : en
Publisher: Cambridge University Press
Release Date : 1985-08-30
Mathematical Economics written by Akira Takayama and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-08-30 with Business & Economics categories.
This systematic exposition and survey of mathematical economics emphasizes the unifying structures of economic theory.