Announcing Mathematica 7: Parallel Computing - 508 New Features - 12 new Application areas - 1 Highly Integrated System -
2000 Jahre Mathematik auf Knopfdruck. Mathematica ist universell & sehr breit einsetzbar und trotzdem unvergleichbar schnell. Mathematica holt, mit ausgefeilten und optimierten Methoden, aus der heutigen Rechnerarchitektur alles heraus.
Whether you are currently using Excel, C/C++, or another traditional programming language, Wolfram Research can help you to dramatically decrease your development time and costs.
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For Excel users, Mathematica offers an alternative to the patchwork of custom-written macros and commercial add-ins that are necessary to make spreadsheets a viable environment for financial modeling. Mathematica Link for Excel allows Mathematica's programming language, computation kernel, and graphics engine to be accessed from within your existing spreadsheets. Because Mathematica contains built-in capabilities for an extraordinary range of calculations and functions, it can already do many of the operations for which you might otherwise need to write and debug complicated macros. If the needed functions are not available, creating new routines in Mathematica's intuitive high-level language is much faster and easier than writing the same thing with Excel's syntax.
Unlike C/C++, Mathematica takes care of the programming infrastructure for you by providing high-level constructs such as sorting, searching, file handling, and data manipulation. This removes peripheral code from your routines and allows Mathematica programs to be only 5 to 10 percent of the size of those created in traditional languages or numerical systems--greatly shrinking the time and cost associated with developing new algorithms.
Increase the Accuracy of Your Models
There are several ways in which inaccuracies can creep into a seemingly correct computer model. Mathematical errors made prior to computer implementation, errors introduced during computer implementation, inaccuracies brought about by numerical approximation, and end-user errors caused by lack of understanding of the computer model are all possible. Wolfram Research can help you to minimize each of these categories by integrating all of your modeling/analysis into Mathematica.
Mathematica's symbolic calculation capabilities utilize the industry-leading set of special functions and algorithms, which allow you to derive your models analytically without reverting to pen and paper. If numerical approximations become necessary for mathematical tractability, Mathematica's "smart numerics" utilize arbitrary precision to give you the most accurate calculations of any math software available. Furthermore, Mathematica's logical and consistent syntax, human-readable code, and convenient notebook environment make it easy to write, modify, and understand code--even if it was written by someone else.
Why an integrated approach?
While other systems provide only a specific functionality such as numeric calculations, symbolic calculations, graphics, statistics, a programming language, or typesetting and document preparation, Mathematica integrates the functionalities into one coherent environment. The importance of this integration is illustrated by the work of Dr. William Shaw, who has shown that common indicators such as hedge parameters and implied volatility can be adversely affected by the tools that are used to calculate them.
For example, the common practice of using numerical differencing to approximate hedge parameters can introduce costly errors. Mathematica's powerful symbolic calculus capabilities make these approximations unnecessary and obsolete. In the case of implied volatility, all but the most basic options lead to values that are nonunique solutions. This is a situation that is quickly and easily discovered through graphical analysis but is impossible to discover using numerics exclusively.
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Wolfram Research's web store offers most Mathematica standard software products and a great supply of Mathematica associated products such as application specific software, books and other interesting stuff. You can download Mathematica, packages and other software directly after purchase. Documentation will only be available online for these licenses.
If you are interested in ordering Mathematica to this attractive price and download the software please go to the Wolfram Web Store and do not forget to enter the referral code “comsol”.
Deliver Your Models to Traders and Decision-Makers
While Mathematica can consolidate all of your development work into a single, powerful environment, there are a number of ways to distribute your Mathematica models to those who need to utilize them. This is made possible by Wolfram Research's communication protocol, called MathLink, and flexible licensing arrangements that support installation for a single machine, an enterprise-wide network, or any point in between.
Some Distribution Options
Notebooks
Mathematica documents are platform-independent ASCII files called notebooks. Notebooks provide structured outlines, buttons, palettes, and hyperlinks to report text, graphics, and calculations. Notebooks can be exported as TeX or HTML documents or can even be pasted into an email and then sent to another Mathematica user for editing.
Alternative Interfaces
Mathematica consists of the Mathematica kernel and the Mathematica notebook interface, two pieces of software that communicate via Wolfram Research's MathLink. MathLink's application programming interface (API) also allows Mathematica to be connected to external applications written in C, C++, Fortran, Visual Basic, or commercial applications. Thus, Mathematica's calculation capabilities and programming language can be accessed from interfaces created in Mathematica's notebook interface, Microsoft Excel, or an environment such as Visual Basic or C/C++.
Hands-on book describing how economists can use Mathematica in their research and teaching. Divided into three sections on economic theory, financial economics, and econometrics. Each chapter describes techniques for solving various economic and financial problems, and then provides Mathematica programs based on each method. An electronic supplement is available.
CONTENT
Symbolic Optimization | Designing an Incentive-Compatible Contract | Economic Dynamics | Perturbation Solution Methods for Economic Growth Models | General Equilibrium Models | Symbolic Algebra Programming for Analyzing the Long Run Dynamics of Economic Models | A Program for Finding Nash Equilibria | Cooperative Games | Mathematica and Diffusions | Itovsn3: Doing Stochastic Calculus with Mathematica | Bounded and Unbounded Stochastic Processes | Option Valuation | Nonlinear Systems Estimation: Asset Pricing Model Application | Econometrics.m: A Package for Doing Econometrics in Mathematica | Bayesian Econometrics: Conjugate Analysis and Rejection Sampling | Time Series Models and Mathematica | Decision Analytica: An Example of Bayesian Inference and Decision Theory Using Mathematica >>bookstore
Mathematical Statistics with Mathematica Author: Colin Rose, Murray D. Smith
Publisher: Springer-Verlag, 2002
ISBN: 0387952349 (Hardcover/481 pages)
Includes CD-ROM
This book and software package present a unified approach for doing mathematical statistics with Mathematica . The book, although it assumes preliminary knowledge of calculus, statistics, and probability, assumes no prior knowledge of Mathematica . The emphasis is on problem solving, with less attention paid to the presentation of theorems and their associated proofs, which can be found in traditional texts.
The mathStatica software, an add-on to Mathematica , provides a toolset specially designed for doing mathematical statistics. It enables students to solve difficult problems by removing the technical calculations often associated with mathematical statistics. The professional statistician will be able to tackle tricky multivariate distributions, generating functions, inversion theorems, symbolic maximum likelihood estimation, unbiased estimation, and the checking and correcting of textbook formulas. This text would be a useful companion for researchers and students in statistics, econometrics, engineering, physics, psychometrics, economics, finance, biometrics, and the social sciences.
The book contains two cross-platform CDs, which run on Windows, Macintosh, Linux, and most Unix platforms. The mathStatica CD includes mathStatica , the applications package for mathematical statistics; custom Mathematica palettes; a live interactive book that is identical to the printed text; hundreds of live examples, animations, and illustrations; and online help. The second CD contains a trial version of Mathematica 4.
Note: The version of mathStatica that accompanies this book is not compatible with Mathematica 5.
CONTENT
Introduction | Continuous Random Variables | Discrete Random Variables | Distributions of Functions of Random Variables | Systems of Distributions | Multivariate Distributions | Moments of Sampling Distributions | Asymptotic Theory | Statistical Decision Theory | Unbiased Parameter Estimation | Principles of Maximum Likelihood Estimation | Maximum Likelihood Estimation in Practice >>boostore
Shows how to use Mathematica to create agent-based computer models of complex human interactions. Provides a methodology for simulation studies of a wide spectrum of socioecoonomic phenomena
CONTENT
Modeling a Society of Interacting Mobile, Heterogeneous Individuals | Transmitting Culture | Deciding Whether to Interact | Choosing How to Behave | Grouping and Conforming | Social Networking and Moving to Far-flung Locations | Appendices >>Mathematica Bookstore
Introduces the operations and application of neural networks in the context of Mathematica 's programming language. Shows professionals and students how to use Mathematica to simulate neural network operations and to assess neural network behavior and performance. The electronic supplement provides the source code for the programs in the book.
CONTENT
Introduction to Neural Networks and Mathematica | Training by Error Minimization | Backpropagation and Its Variants | Optimization and Constraint Satisfaction | Feedback and Recurrent Networks | Adaptive Resonance Theory | Genetic Algorithms >>Mathematica Bookstore
This book is intended for use as a supplemental tool for courses in advanced microeconomics and mathematical economics. Cogent applications of the mathematics required to solve problems of microeconomics are presented. An overview of Mathematica is given as well as tools to build individual Mathematica programs for problem solving. In the Consumer Theory section, common problems of consumer optimization are explored. Producer Theory includes methods of transforming variables and manipulating output as well as linear algebra procedures. Economic Dynamics utilizes the more advanced mathematical tools of differential and difference equations and the calculus of variations to study issues ranging from the dynamic adjustments of markets to the optimal amount of inventory held over time.
CONTENT Mathematica Overview | Introduction | Consumer Choice and the Lagrangian Multiplier Method | Individual and Market Demand | Compensating and Equivalent Variation | Pure Exchange | Intertemporal Trade | Choice under Uncertainty and Imperfect Information | Cost Minimization | Short-Run and Long-Run Costs | Duality | Multiplant Production | Profit Maximization | Linear Programming | Production and Trade | Market Dynamics | Dynamic Optimization and the Calculus of Variations | Index >>Mathematica Bookstore
This collection of articles is edited by Hal Varian, Dean of the School of Information Management and Systems, University of California, Berkeley. It provides a high-quality and practical selection of contributed articles that impart the expertise of an international contingent of Mathematica users from the economic, financial, investments, quantitative business, and operations research communities. This work breaks new ground and builds upon an earlier, highly successful collection of contributed articles, also edited by Hal Varian, Economic and Financial Modeling with Mathematica (TELOS/Springer-Verlag, 1993). 3.5" DOS diskette included.
CONTENT Linear Programming with Mathematica : The Simplex Algorithm | Linear Programming with Mathematica : Sensitivity Analysis | Optimization with Mathematica | Optimizing with Piecewise Smooth Functions | Data Screening and Data Development Analysis | Efficiency in Production and Consumption | Cost Allocation | Simulating the Effects of Mergers among Noncooperative Oligopolists | Auctions | Yield Management | Implementing Numerical Option Pricing Models | YieldCurve | Log Spectral Analysis: Variance Components of Asset Prices | Data Analysis Using Mathematica | Doing Monte Carlo Studies with Mathematica | Random[Title]: Manipulating Probability Density Functions >>Mathematica Bookstore
This book provides a comprehensive overview of the mathematics of computational finance for academics in financial mathematics. Enabled by Mathematica , the approach is applied, integrating and giving a fresh perspective to many mathematical disciplines including probability, ordinary, stochastic, and partial differential equations; mathematical statistics; and calculus of variations. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte Carlo.
CONTENT Introduction | Cash Account Evolution |Stock Price Evolution | European Style Stock Options | Stock Market Statistics | Implied Volatility for European Options | American Style Stock Options | Optimal Portfolio Rules | Advanced Trading Strategies >>Mathematica Bookstore
This revised edition of a popular German textbook provides an accessible introduction to game theory and can be used as a study guide for university students or as a tool for practitioners in game-theoretical modeling. The application of algorithmic game theory to resolve realistic conflict situations is emphasized, and Mathematica is used to obtain both numerical and analytical solutions to game-theoretical models. The accompanying CD-ROM includes notebooks, programs, and exercises with their solutions for each chapter, and topics covered in the text include extensive and normal form games, degeneracy, and equilibrium selection theory.
CONTENT Non-Cooperative Games | Linear Complementarity | Zero-Sum Games | Degenerate Games | Inspection Games | Evolutionary Games | Games in Extensive Form >>Mathematica Bookstore
A notebook containing the first chapter of the book.
A notebook containing updates to every chapter with new information on Mathematica Version 4 compatibility and more.
Designed to be used as a text for an MBA course or for professional training in financial institutions. Uses Mathematica to analyze financial models. Mathematica 's graphics capabilities are exploited to show how a model's characteristics can be visualized in 2 and 3 dimensions. Accompanying CD contains notebook versions of the models discussed in the text.
The electronic supplement to this book contains three items. The first, Chapter1.nb, is the first chapter of the book, which introduces the reader to the basic principles of derivatives modelling and discusses the unique applicability of Mathematica to this work.
The second item, ShawV4.nb, is for people who already own the book, and updates every chapter with new information including, but not limited to, V4 compatibility.
ShawV5.nb, also for those who already own the book, provides updates and information on V5 compatibility.
The author maintains an updated set of supporting notebooks available at http://www.maths.ox.ac.uk/~shaww/ . The Version 5 Notebook has the March 2004 version of his latest notes.
CONTENT Advanced Tools for Rocket Science | An Introduction to Mathematica | Mathematical Finance Preliminaries | Mathematical Preliminaries | Log and Power Contracts | Binary Options and the Normal Distribution | Vanilla European Calls and Puts | Barrier Options--A Distribution | Analytical Models of Lookbacks | Vanilla Asian Options--Analytical Methods | Vanilla American Options | Double Barrier, Compound, Quanto Options and Other Exotics | The Discipline of the Greeks and Overview of Finite-Difference Schemes | Finite-Difference Schemes for the Diffusion Equation with Smooth Initial Conditions | Finite-Difference Schemes for the Black-Scholes Equation with Non-smooth Payoff Initial Conditions | SOR and PSOR Schemes for the Three-Time-Level Douglas Scheme and Application to American Options | Linear Programming Alternatives to PSOR and Regression | Traditional and Supersymmetric Trees | Tree Implementation in Mathematica and Basic Tree Pathology | Turbo-charged Trees with the Mathematica Compiler | Monte Carlo and Wozniakowski Sampling | Basic Applications of Monte Carlo | Monte Carlo Simulation of Basket Options | Getting Jumpy over Dividends | Simple Deterministic and Stochastic Interest-Rate Models | Building Yield Curves from Market Data | Simple Interest Rate Options | Modeling Volatility by Elasticity >>Mathematica Bookstore
Visit our bookstore for a complete listing of titles including tutorials as well as programming and graphics books.