Описание: This mathematically elementary introduction to the theory of options pricing presents the Black-Scholes theory of options as well as introducing such topics in finance as the time value of money, mean variance analysis, optimal portfolio selection, and the capital assets pricing model. The author assumes no prior knowledge of probability and presents all the necessary preliminary material simply and clearly. He explains the concept of arbitrage with examples, and then uses the arbitrage theorem, along with an approximation of geometric Brownian motion, to obtain a simple derivation of the Black-Scholes formula. In the later chapters he presents real price data indicating that this model is not always appropriate and shows how the model can be generalized to deal with such situations. No other text presents such topics in a mathematically accurate but accessible way. It will appeal to professional traders as well as undergraduates studying the basics of finance.
Автор: Fuente, Angel de la. Название: Mathematical methods and models for economists ISBN: 0521585295 ISBN-13(EAN): 9780521585293 Издательство: Cambridge Academ Рейтинг: Цена: 5406 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and over two hundred fully worked-out problems.
Автор: Pliska, Stanley R. Название: Introduction to Mathematical Finance ISBN: 1557869456 ISBN-13(EAN): 9781557869456 Издательство: Wiley Рейтинг: Цена: 5192 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is designed to serve as a textbook for advanced undergraduate and beginning graduate students who seek a rigorous yet accessible introduction to the modern financial theory of security markets. Exercises are provided to check understanding and provide supplemental information.
Описание: This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student’s conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper.The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.
Автор: Andrew Fight Название: Introduction to Project Finance, ISBN: 075065905X ISBN-13(EAN): 9780750659055 Издательство: Elsevier Science Рейтинг: Цена: 4488 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers an overview of project finance, and an understanding of the key risks involved in project finance and techniques for mitigating risk. This work provides techniques for effective evaluation of project finance from both a financial and credit perspective. It includes questions with answers, study topics, and practical `real world` examples.
Описание: This book looks at the mathematical foundations of the models currently in use. This is crucial for the correct interpretation of the outputs of the models. A bioinformatician should be able not only to use software packages, but also to know the mathematics behind these packages. From this point of view, mathematics departments throughout the world have a major role to play in bioinformatics education by teaching courses on the mathematical foundations of the subject. Based on the courses taught by the author the book combines several topics in biological sequence analysis with mathematical and statistical material required for such analysis.
Автор: John Banks Название: Chaos: A Mathematical Introduction ISBN: 0521531047 ISBN-13(EAN): 9780521531047 Издательство: Cambridge Academ Рейтинг: Цена: 5981 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: When new ideas like chaos first move into the mathematical limelight, the early textbooks tend to be very difficult. The concepts are new and it takes time to find ways to present them in a form digestible to the average student. This process may take a generation, but eventually, what originally seemed far too advanced for all but the most mathematically sophisticated becomes accessible to a much wider readership. This book takes some major steps along that path of generational change. It presents ideas about chaos in discrete time dynamics in a form where they should be accessible to anyone who has taken a first course in undergraduate calculus. More remarkably, it manages to do so without discarding a commitment to mathematical substance and rigour. The book evolved from a very popular one-semester middle level undergraduate course over a period of several years and has therefore been well class-tested.
Автор: J. N. Islam Название: An Introduction to Mathematical Cosmology ISBN: 0521496500 ISBN-13(EAN): 9780521496506 Издательство: Cambridge Academ Рейтинг: Цена: 14840 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. The book begins with a brief overview of observational and theoretical cosmology, along with a short introduction to general relativity. It then goes on to discuss Friedmann models, the Hubble constant and deceleration parameter, singularities, the early universe, inflation, quantum cosmology and the distant future of the universe. This new edition contains a rigorous derivation of the Robertson-Walker metric. It also discusses the limits to the parameter space through various theoretical and observational constraints, and presents a new inflationary solution for a sixth degree potential. This book is suitable as a textbook for advanced undergraduates and beginning graduate students. It will also be of interest to cosmologists, astrophysicists, applied mathematicians and mathematical physicists.
Описание: In this book, actual problems of immune cells interaction with tumours are discussed in terms of the biological kinetics, theoretical biophysics, nonlinear systems
and pattern recognition principles. On the basis of the detailed analysis of experimental and clinical data, mathematical models of tumour cells immune recognition mechanisms,
co-operative phenomena, immune response dynamics in the whole are described and investigated. Modern mathematical methods are involved in the analysis of the models.
Attention is paid to the determination of temporal and quantitative parameters of the ligand-receptor interactions, the processes of tumour cells interaction with different classes of
immune cells and monoclonal antibodies.
Описание: Introducing the reader to the area of inverse problems, this work has two aims. The first is to outline the basic notions and difficulties encountered with ill-posed problems. The second is to present two nonlinear inverse problems - the inverse spectral problem and the inverse scattering problem.
Описание: The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.
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