1 Introduction.- 2 Notes on point set topology.- 3 The finite dimensional real vector space.- 4 Tensor Algebra.- 5 Affine space and euclidean space.- 6 Tensor analysis in euclidean space.- 7 A primer on smooth manifolds.- B Further Reading.
Автор: Hackbusch Название: Tensor Spaces and Numerical Tensor Calculus ISBN: 3642280269 ISBN-13(EAN): 9783642280269 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. ?
A step-by-step approach to the mathematical financial theory and quantitative methods needed to implement and apply state-of-the-art valuation techniques
Written as an accessible and appealing introduction to financial derivatives, "Elementary Financial Derivatives: A Guide to Trading and Valuation with Application"s provides the necessary techniques for teaching and learning complex valuation techniques. Filling the current gap in financial engineering literature, the book emphasizes an easy-to-understand approach to the methods and applications of complex concepts without focusing on the underlying statistical and mathematical theories.
Organized into three comprehensive sections, the book discusses the essential topics of the derivatives market with sections on options, swaps, and financial engineering concepts applied primarily, but not exclusively, to the futures market. Providing a better understanding of how to assess risk exposure, the book also includes: A wide range of real-world applications and examples detailing the theoretical concepts discussed throughout Numerous homework problems, highlighted equations, and Microsoft(R) Office Excel(R) modules for valuation Pedagogical elements such as solved case studies, select answers to problems, and key terms and concepts to aid comprehension of the presented material A companion website that contains an Instructor's Solutions Manual, sample lecture PowerPoint(R) slides, and related Excel files and data sets
"Elementary Financial Derivatives: A Guide to Trading and Valuation with Applications "is an excellent introductory textbook for upper-undergraduate courses in financial derivatives, quantitative finance, mathematical finance, and financial engineering. The book is also a valuable resource for practitioners in quantitative finance, industry professionals who lack technical knowledge of pricing options, and readers preparing for the CFA exam.
Jana Sacks, PhD, is Associate Professor in the Department of Accounting and Finance at St. John Fisher College in Rochester, New York. A member of The American Finance Association, the National Association of Corporate Directors, and the International Atlantic Economic Society, Dr. Sack's research interests include risk management, credit derivatives, pricing, hedging, and structured finance.
Автор: Sergio Albeverio; Philip Blanchard; L. Streit Название: Stochastic Processes and their Applications ISBN: 0792308948 ISBN-13(EAN): 9780792308942 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'Et moi, ..., si j'avait su comment en revenIT, One service mathematics has rendered the je n'y serais point allt\.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ..: 'One service logic has rendered com- puter science ..: 'One service category theory has rendered mathematics ..: . All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Описание: This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers.
Автор: Steve Naomis; Paul C.M. Lau Название: Computational Tensor Analysis of Shell Structures ISBN: 3540528520 ISBN-13(EAN): 9783540528524 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions.
Автор: Emil De Souza Sanchez Filho Название: Tensor Calculus for Engineers and Physicists ISBN: 3319315196 ISBN-13(EAN): 9783319315195 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces.
The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors.
Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.
Автор: Panagiotis Symeonidis; Andreas Zioupos Название: Matrix and Tensor Factorization Techniques for Recommender Systems ISBN: 3319413562 ISBN-13(EAN): 9783319413563 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a detailed theoretical mathematical background of matrix/tensor factorization techniques and a step-by-step analysis of each method on the basis of an integrated toy example that runs throughout all its chapters and helps the reader to understand the key differences among methods.
Название: Stochastic Geometry and Its Applications ISBN: 0470664819 ISBN-13(EAN): 9780470664810 Издательство: Wiley Рейтинг: Цена: 12822.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An extensive update to a classic text Stochastic geometry and spatial statistics play a fundamental role in many modern branches of physics, materials sciences, engineering, biology and environmental sciences.
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