Download or read book Evaluating Derivatives written by Andreas Griewank and published by SIAM. This book was released on 2008-11-06 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is a comprehensive treatment of algorithmic, or automatic, differentiation. The second edition covers recent developments in applications and theory, including an elegant NP completeness argument and an introduction to scarcity.
Download or read book Active Calculus 2018 written by Matthew Boelkins and published by Createspace Independent Publishing Platform. This book was released on 2018-08-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.
Download or read book Evaluating Derivatives written by Andreas Griewank and published by Society for Industrial and Applied Mathematics. This book was released on 1987-01-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic, or automatic, differentiation (AD) is concerned with the accurate and efficient evaluation of derivatives for functions defined by computer programs. No truncation errors are incurred, and the resulting numerical derivative values can be used for all scientific computations that are based on linear, quadratic, or even higher order approximations to nonlinear scalar or vector functions. In particular, AD has been applied to optimization, parameter identification, equation solving, the numerical integration of differential equations, and combinations thereof. Apart from quantifying sensitivities numerically, AD techniques can also provide structural information, e.g., sparsity pattern and generic rank of Jacobian matrices.
Download or read book An Introduction to the Mathematics of Financial Derivatives written by Salih N. Neftci and published by Academic Press. This book was released on 2000-05-19 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step explanation of the mathematical models used to price derivatives. For this second edition, Salih Neftci has expanded one chapter, added six new ones, and inserted chapter-concluding exercises. He does not assume that the reader has a thorough mathematical background. His explanations of financial calculus seek to be simple and perceptive.
Download or read book The Art of Differentiating Computer Programs written by Uwe Naumann and published by SIAM. This book was released on 2012-01-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first entry-level book on algorithmic (also known as automatic) differentiation (AD), providing fundamental rules for the generation of first- and higher-order tangent-linear and adjoint code. The author covers the mathematical underpinnings as well as how to apply these observations to real-world numerical simulation programs. Readers will find: examples and exercises, including hints to solutions; the prototype AD tools dco and dcc for use with the examples and exercises; first- and higher-order tangent-linear and adjoint modes for a limited subset of C/C++, provided by the derivative code compiler dcc; a supplementary website containing sources of all software discussed in the book, additional exercises and comments on their solutions (growing over the coming years), links to other sites on AD, and errata.
Download or read book Energy Risk Valuing and Managing Energy Derivatives written by Dragana Pilipovic and published by McGraw Hill Professional. This book was released on 2007-08-13 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Latest Methods and Strategies for Successfully Trading and Managing Risk in Today's Volatile Energy Markets The updated Second Edition of Energy Risk presents an authoritative overview of the contemporary energy trading arena, combining the lesson's from the last decade with proven methods and strategies required for valuing energy derivatives and managing risk in these ever volatile markets. Written by renowned energy risk expert Dragana Pilipovic this revised classic examines market behavior, covering both quantitative analysis and trader-oriented insights. The book shows how to establish a modeling process that involves the key players_managers, traders, quantitative analysts, and engineers_and provides practical answers to energy trading and risk management questions. The Second Edition of Energy Risk features: Detailed coverage of the primary factors that influence energy risk Techniques for building marked-to-market forward price curves, creating volatility matrices, and valuing complex options Specific guidelines and tools for achieving risk goals New to this edition: three new chapters on the emerging energy market and marked-to-market issues; new material on energy-specific models, seasonal effects, and the derivation of the mean-reverting price model; and more
Download or read book TI 89 Graphing Calculator For Dummies written by C. C. Edwards and published by John Wiley & Sons. This book was released on 2005-08-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do you own a TI-89, TI-89 Titanium, TI-92 Plus, or a Voyage 200 graphing calculator? If you do, or if you need to get one for school or your job, then you need to know how it works and how to make the most of its functions. TI-89 For Dummies is the plain-English nuts-and-bolts guide that gets you up and running on all the things your TI-89 can do, quickly and easily. This hands-on reference guides you step by step through various tasks and even shows you how to add applications to your calculator. Soon you’ll have the tools you need to: Solve equations and systems of equations Factor polynomials Evaluate derivatives and integrals Graph functions, parametric equations, polar equations, and sequences Create Stat Plots and analyze statistical data Multiply matrices Solve differential equations and systems of differential equations Transfer files between two or more calculators Save calculator files on your computer Packed with exciting and valuable applications that you can download from the Internet and install through your computer, as well as common errors and messages with explanations and solutions, TI-89 For Dummies is the one-stop reference for all your graphing calculator questions!
Download or read book Mathematical Programming written by Masao Iri and published by Springer. This book was released on 1989-11-30 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Justin Math Calculus written by Justin Skycak and published by Justin Skycak. This book was released on 2019-03-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Justin Math: Calculus is the second book in a series that covers the foundations of high school and college math: Algebra, Calculus, and Linear Algebra (with Differential Equations baked into the latter two). It provides deep intuition for the core concepts and connections, along with plenty of practice exercises, while remaining as concise as possible. CONTENTS 1. LIMITS AND DERIVATIVES - Evaluating Limits; Limits by Logarithms, Squeeze Theorem, and Euler's Consant; Derivatives and the Difference Quotient, Power Rule, Chain Rule, Properties of Derivatives, Derivatives of Non-Polynomial Functions, Finding Local Extrema, Differentials and Approximation, L'Hôpital's Rule. 2. INTEGRALS - Antiderivatives, Finding Area, Substitution, Integration by Parts, Improper Integrals. 3. DIFFERENTIAL EQUATIONS - Separation of Variables, Slope Fields and Euler Approximation, Substitution, Characteristic Polynomial, Undetermined Coefficients, Integrating Factors, Variation of Parameters. 4. SERIES - Geometric Series, Tests for Convergence, Taylor Series, Manipulating Taylor Series, Solving Differential Equations with Taylor Series.
Download or read book Geometrical Derivatives of Energy Surfaces and Molecular Properties written by Poul Jørgensen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development and computational implementation of analytical expres sions for the low-order derivatives of electronic energy surfaces and other molecular properties has undergone rapid growth in recent years. It is now fairly routine for chemists to make use of energy gradient information in locating and identifying stable geometries and transition states. The use of second analytical derivative (Hessian or curvature) expressions is not yet routine, and third and higher energy derivatives as well as property (e.g., dipole moment, polarizability) derivatives are just beginning to be applied to chemical problems. This NATO Advanced Research Workshop focused on analyzing the re lative merits of various strategies for deriving the requisite analyti cal expressions, for computing necessary integral derivatives and wave function parameter derivatives, and for efficiently coding these expres sions on conventional scalar machines and vector-oriented computers. The participant list contained many scientists who have been instrumen tal in bringing this field to fruition as well as eminent scientists who have broad knowledge and experience in quantum chemistry in general.
Download or read book Efficient Methods for Valuing Interest Rate Derivatives written by Antoon Pelsser and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the models that can be used for valuing and managing interest rate derivatives. Split into two parts, the first discusses and compares the traditional models, such as spot- and forward-rate models, while the second concentrates on the more recently developed Market models. Unlike most of his competitors, the author's focus is not only on the mathematics: Antoon Pelsser draws on his experience in industry to explore a host of practical issues.
Download or read book Advanced Calculus Revised Edition written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Download or read book Advances in Automatic Differentiation written by Christian H. Bischof and published by Springer Science & Business Media. This book was released on 2008-08-17 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fifth International Conference on Automatic Differentiation held from August 11 to 15, 2008 in Bonn, Germany, is the most recent one in a series that began in Breckenridge, USA, in 1991 and continued in Santa Fe, USA, in 1996, Nice, France, in 2000 and Chicago, USA, in 2004. The 31 papers included in these proceedings re?ect the state of the art in automatic differentiation (AD) with respect to theory, applications, and tool development. Overall, 53 authors from institutions in 9 countries contributed, demonstrating the worldwide acceptance of AD technology in computational science. Recently it was shown that the problem underlying AD is indeed NP-hard, f- mally proving the inherently challenging nature of this technology. So, most likely, no deterministic “silver bullet” polynomial algorithm can be devised that delivers optimum performance for general codes. In this context, the exploitation of doma- speci?c structural information is a driving issue in advancing practical AD tool and algorithm development. This trend is prominently re?ected in many of the pub- cations in this volume, not only in a better understanding of the interplay of AD and certain mathematical paradigms, but in particular in the use of hierarchical AD approaches that judiciously employ general AD techniques in application-speci?c - gorithmic harnesses. In this context, the understanding of structures such as sparsity of derivatives, or generalizations of this concept like scarcity, plays a critical role, in particular for higher derivative computations.
Download or read book Introduction to Integral Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
Download or read book Spectral Methods Using Multivariate Polynomials On The Unit Ball written by Kendall Atkinson and published by CRC Press. This book was released on 2019-11-11 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that are diffeomorphic to the unit disk, in two dimensions, and the unit ball, in three dimensions. The speed of convergence of spectral methods is usually much higher than that of finite element or finite difference methods. Features Introduces the use of multivariate polynomials for the construction and analysis of spectral methods for linear and nonlinear boundary value problems Suitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problem One of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials.
Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Download or read book The PAYTECH Book written by Susanne Chishti and published by John Wiley & Sons. This book was released on 2020-02-18 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only globally-crowdsourced book on the future of payments (“PayTech”), offering comprehensive understanding of a rapidly evolving industry at the centre of global commerce The movement of money between individuals, organisations and governments is crucial to the world economy. The payments industry has undergone immense transformation – new regulations, technologies and consumer demands have prompted significant changes to the tools, products and use cases in payments, as well as presented lucrative opportunities for entrepreneurs and FinTech professionals. As payment technologies become faster and more efficient, companies and investors are increasingly favouring PayTech innovation due to better customer experience, increased revenues and manageable risks. The PAYTECH Book brings together a diverse collection of industry experts to provide entrepreneurs, financial services professionals and investors with the answers they need to capitalise on the highly profitable PayTech market. Written by leaders in the global FinTech and payment sectors, this informative volume explains key industry developments and presents valuable first-hand insights from prominent industry practitioners. Contributors include advisors and consultants to the payments and financial services industry, entrepreneurs and business owners utilising cutting-edge PayTech capabilities, academic researchers exploring the social-political-economic impact of PayTech and many others. Detailed chapters cover essential topics such as cybersecurity, regulation and compliance, wholesale payments and how payment systems currently work and how PayTech can improve them. This book: Defines PayTech and identifies its key players Discusses how PayTech can transform developed markets and accelerate growth in emerging economies Describes how PayTech fits into the larger FinTech ecosystem Explores the future of PayTech and its potential as an agent of social change and financial inclusion Provides diverse perspectives on investment in PayTech and what consolidation and expansion will look like The PAYTECH Book: The Payment Technology Handbook for Investors, Entrepreneurs and FinTech Visionaries is an indispensable source of information for FinTech investors and entrepreneurs, managers from payments companies and financial services firms and executives responsible for payments in government, corporations, public sector organisations, retailers and users of payments.
