Man's Mathematical Models
| Author | : Bill Williams |
| Publisher | : |
| Total Pages | : 394 |
| Release | : 1974 |
| Genre | : Mathematics |
| ISBN | : |
Index and answers included.
Mans Mathematical Models
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Mathematical Modeling And Computation In Finance: With Exercises And Python And Matlab Computer Codes
| Author | : Cornelis W Oosterlee |
| Publisher | : World Scientific |
| Total Pages | : 1310 |
| Release | : 2019-10-29 |
| Genre | : Business & Economics |
| ISBN | : 1786347962 |
This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market participants changes, the corresponding stochastic mathematical models describing the prices may also change. Financial regulation may play a role in such changes too. The book thus presents several models for stock prices, interest rates as well as foreign-exchange rates, with increasing complexity across the chapters. As is said in the industry, 'do not fall in love with your favorite model.' The book covers equity models before moving to short-rate and other interest rate models. We cast these models for interest rate into the Heath-Jarrow-Morton framework, show relations between the different models, and explain a few interest rate products and their pricing.The chapters are accompanied by exercises. Students can access solutions to selected exercises, while complete solutions are made available to instructors. The MATLAB and Python computer codes used for most tables and figures in the book are made available for both print and e-book users. This book will be useful for people working in the financial industry, for those aiming to work there one day, and for anyone interested in quantitative finance. The topics that are discussed are relevant for MSc and PhD students, academic researchers, and for quants in the financial industry.
Mathematical Modeling
| Author | : Jonas Hall |
| Publisher | : John Wiley & Sons |
| Total Pages | : 571 |
| Release | : 2016-06-13 |
| Genre | : Mathematics |
| ISBN | : 1119102693 |
A logical problem-based introduction to the use of GeoGebra for mathematical modeling and problem solving within various areas of mathematics A well-organized guide to mathematical modeling techniques for evaluating and solving problems in the diverse field of mathematics, Mathematical Modeling: Applications with GeoGebra presents a unique approach to software applications in GeoGebra and WolframAlpha. The software is well suited for modeling problems in numerous areas of mathematics including algebra, symbolic algebra, dynamic geometry, three-dimensional geometry, and statistics. Featuring detailed information on how GeoGebra can be used as a guide to mathematical modeling, the book provides comprehensive modeling examples that correspond to different levels of mathematical experience, from simple linear relations to differential equations. Each chapter builds on the previous chapter with practical examples in order to illustrate the mathematical modeling skills necessary for problem solving. Addressing methods for evaluating models including relative error, correlation, square sum of errors, regression, and confidence interval, Mathematical Modeling: Applications with GeoGebra also includes: Over 400 diagrams and 300 GeoGebra examples with practical approaches to mathematical modeling that help the reader develop a full understanding of the content Numerous real-world exercises with solutions to help readers learn mathematical modeling techniques A companion website with GeoGebra constructions and screencasts Mathematical Modeling: Applications with GeoGebrais ideal for upper-undergraduate and graduate-level courses in mathematical modeling, applied mathematics, modeling and simulation, operations research, and optimization. The book is also an excellent reference for undergraduate and high school instructors in mathematics.
Mathematical Models
| Author | : Richard Haberman |
| Publisher | : SIAM |
| Total Pages | : 412 |
| Release | : 1998-12-01 |
| Genre | : Mathematics |
| ISBN | : 0898714087 |
The author uses mathematical techniques to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow.
An Introduction to Mathematical Modeling
| Author | : Edward A. Bender |
| Publisher | : Courier Corporation |
| Total Pages | : 273 |
| Release | : 2012-05-23 |
| Genre | : Mathematics |
| ISBN | : 0486137120 |
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
The Mathematics of Marriage
| Author | : John M. Gottman |
| Publisher | : MIT Press |
| Total Pages | : 423 |
| Release | : 2005-01-14 |
| Genre | : Psychology |
| ISBN | : 0262572303 |
Divorce rates are at an all-time high. But without a theoretical understanding of the processes related to marital stability and dissolution, it is difficult to design and evaluate new marriage interventions. The Mathematics of Marriage provides the foundation for a scientific theory of marital relations. The book does not rely on metaphors, but develops and applies a mathematical model using difference equations. The work is the fulfillment of the goal to build a mathematical framework for the general system theory of families first suggested by Ludwig Von Bertalanffy in the 1960s.The book also presents a complete introduction to the mathematics involved in theory building and testing, and details the development of experiments and models. In one "marriage experiment," for example, the authors explored the effects of lowering or raising a couple's heart rates. Armed with their mathematical model, they were able to do real experiments to determine which processes were affected by their interventions. Applying ideas such as phase space, null clines, influence functions, inertia, and uninfluenced and influenced stable steady states (attractors), the authors show how other researchers can use the methods to weigh their own data with positive and negative weights. While the focus is on modeling marriage, the techniques can be applied to other types of psychological phenomena as well.
Mathematical Models for Teaching
| Author | : Ann Kajander |
| Publisher | : Canadian Scholars’ Press |
| Total Pages | : 278 |
| Release | : 2014-01-01 |
| Genre | : Education |
| ISBN | : 1551305569 |
Students of mathematics learn best when taught by a teacher with a deep and conceptual understanding of the fundamentals of mathematics. In Mathematical Models for Teaching, Ann Kajander and Tom Boland argue that teachers must be equipped with a knowledge of mathematics for teaching, which is grounded in modelling, reasoning, and problem-based learning. A comprehensive exploration of models and concepts, this book promotes an understanding of the material that goes beyond memorization and recitation, which begins with effective teaching. This vital resource is divided into 15 chapters, each of which addresses a specific mathematical concept. Focusing on areas that have been identified as problematic for teachers and students, Mathematical Models for Teaching equips teachers with a different type of mathematical understanding-one that supports and encourages student development. Features: grounded in the most current research about teachers' learning contains cross-chapter connections that identify common ideas includes chapter concluding discussion questions that encourage critical thinking incorporates figures and diagrams that simplify and solidify important mathematical concepts offers further reading suggestions for instructors seeking additional information
Mathematical Modeling for Industry and Engineering
| Author | : Thomas Svobodny |
| Publisher | : |
| Total Pages | : 552 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : |
Appropriate for upper level undergraduate and graduate courses in Mathematical Modeling offered in math, engineering departments, and applied math departments. Prerequisite is some exposure to differential equations and to matrices. This accessible and practical text is designed to nurture a "modeling intuition" for a wide range of disciplines, including mathematics, science, engineering, and economics. The numerous examples and mathematical techniques it includes demonstrate that mathematical modeling can be an important tool for revealing the underlying links between apparently disparate phenomena. Its flexible approach also reinforces the idea that there is no fixed set of tools for modeling.
Man Ray
| Author | : Wendy Grossman |
| Publisher | : Hatje Cantz Verlag |
| Total Pages | : 0 |
| Release | : 2015 |
| Genre | : Art, Modern |
| ISBN | : 9783775739207 |
How does one make sense of a purported link between mathematics, William Shakespeare, and art? The answer lies within the oeuvre of Man Ray (1890-1976). The publication sets out to unravel the Surrealist puzzle beginning with his photographs of mathematical models he encountered at the Institut Henri Poincaré in Paris in the thirties. Moreover, it charts a path culminating in his Shakespearean Equations (1947-1954) series of oil paintings, which were inspired by the photographs and painted in Hollywood over a decade later. The arc the images strike from painting back to photography reveals the ease with which Man Ray moved between various disciplines and forged his own path. An inveterate experimenter, he pioneered artistic activities in the realms of painting, object making, film, and photography, challenging conventional boundaries and blurring established aesthetic categories. Exhibitions: The Phillips Collection, Washington, D.C., February 7-May 10, 2015 - NY Carlsberg Glyptotek, Copenhagen, June 11-September 20, 2015 - The Israel Museum, Jerusalem, October 20, 2015-January 23, 2016
Introduction to Mathematical Modeling of Crop Growth
| Author | : Christopher B. S. Teh |
| Publisher | : Dissertation.com |
| Total Pages | : 278 |
| Release | : 2006 |
| Genre | : Technology & Engineering |
| ISBN | : 1581129998 |
Learning mathematical modeling need not be difficult. Unlike other books, this book not only lists the equations one-by-one, but explains in detail how they are each derived, used, and finally assembled into a computer program for model simulations. This book shows how mathematics is applied in agriculture, in particular to modeling the growth and yield of a generic crop. Topics covered are agriculture meteorology, solar radiation interception and absorption, evapotranspiration, energy and soil water balance, soil water flow, photosynthesis, respiration, and crop growth development. Rather than covering many modeling approaches but in superficial detail, this book selects one or two widely-used modeling approaches and discusses about them in depth. Principles learned from this book equips readers when they encounter other modeling approaches or when they develop their own crop models.
