From computation to visualization, development to deployment, Mathematica 7.0.1 builds on 20 years of innovation to deliver one vision: the ultimate technical application and environment. Mathematica 7.0.1 includes over 500 new functions and 12 additional application areas, all seamlessly integrated in one system that gives you unprecedented workflow, coherence, and reliability.
Features:
Mathematical Functions
Mathematica has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over the past two decades, each function supports a full range of symbolic operations, as well as efficient numerical evaluation to arbitrary precision, for all complex values of parameters.
Formula Manipulation
Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general transformation and simplification functions that automatically call on thousands of rules and algorithms - many original to Wolfram Research.
Matrices and Linear Algebra
Mathematica automatically handles both numeric and symbolic matrices, seamlessly switching among large numbers of highly-optimized algorithms. Using many original methods, Mathematica can handle numerical matrices of any precision, automatically invoking machine-optimized code when appropriate. Mathematica handles both dense and sparse matrices, and can routinely operate on matrices with millions of entries.
Calculus
In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced by new methods being discovered at Wolfram Research, the algorithms in Mathematica probably now reach almost every integral and differential equation for which a closed form can be found.
Polynomial Algebra
Polynomial algorithms are at the core of classical "computer algebra". Incorporating methods that span from antiquity to the latest cutting-edge research at Wolfram Research, Mathematica has the world's broadest and deepest integrated web of polynomial algorithms. Carefully tuned strategies automatically select optimal algorithms, allowing large-scale polynomial algebra to become a routine part of many types of computations.
Number Theory
Packing a large number of sophisticated algorithms - many recent and original - into a powerful collection of functions, Mathematica draws on almost every major result in number theory. A key tool for two decades in the advance of the field, Mathematica's symbolic architecture and web of highly efficient algorithms make it a unique platform for number theoretic experiment, discovery and proof.
Computational Systems
Mathematica is the tool that has made possible Stephen Wolfram's exploration of the computational universe, and the emerging field of Wolfram Science (NKS). Whether for modeling, algorithm discovery or basic NKS, Mathematica has immediate built-in capabilities for the systematic study of a broad range of computational systems.
Numerical Evaluation & Precision
In two decades of intense algorithmic development, Mathematica has established a new level of numerical computation. Particularly notable are its many original highly efficient algorithms, its methodology for automatic algorithm selection, and its systemwide support for automatic error tracking and arbitrary-precision arithmetic.
Equation Solving
Built into Mathematica is the world's largest collection of both numerical and symbolic equation solving capabilities - with many original algorithms, all automatically accessed through a small number of exceptionally powerful functions. Mathematica's symbolic architecture allows both equations and their solutions to be conveniently given in symbolic form, and immediately integrated into computations and visualizations.
Optimization
Integrated into Mathematica are a full range of state-of-the-art local and global optimization techniques, both numeric and symbolic, including constrained nonlinear optimization, interior point methods and integer programming - as well as original symbolic methods. Mathematica's symbolic architecture provides seamless access to industrial-strength system and model optimization, efficiently handling million-variable linear programming, and multithousand-variable nonlinear problems.
Statistics
Mathematica provides integrated support both for classical statistics and for modern large-scale data analysis. Its symbolic character allows broader coverage, with symbolic manipulation of statistical distributions, symbolic specification of functions and models, and general symbolic representations of large-scale data properties. Incorporating the latest numerics and computational geometry algorithms, Mathematica provides high-accuracy and high-reliability statistical results for datasets of almost unlimited size.
Discrete Mathematics
Mathematica has been used to make many important discoveries in discrete mathematics over the past two decades. Its integration of highly efficient and often original algorithms together with its high-level symbolic language has made it a unique environment for the exploration, development and application of discrete mathematics.
Logic & Boolean Algebra
Mathematica represents Boolean expressions in symbolic form, so they can not only be evaluated, but also be symbolically manipulated and transformed. Incorporating state-of-the-art quantifier elimination, satisfiability and equational logic theorem proving, Mathematica provides a powerful framework for investigations based on Boolean algebra.
Mathematical Data
Mathematica provides direct access to a large volume of mathematical data, specially organized and created for Mathematica. The data is available in a wide range of forms suitable for direct integration into Mathematica computations.
Data Visualization
Using a host of original algorithms developed at Wolfram Research, Mathematica provides powerful functions that automate the process of creating cognitively and aesthetically compelling representations of structured and unstructured data - not only for points, lines and surfaces, but also for graphs and networks.
Charting and Information Visualization
Mathematica's symbolic architecture and dynamic interface make possible a uniquely flexible and convenient approach to charting and information visualization. With sophisticated automation made possible by its computational aesthetics methodology, Mathematica lets you immediately take data and produce compelling dynamic visualizations in a wide variety of formats - both predefined and arbitrarily extensible.
Graphics Options & Styling
Mathematica provides hundreds of options to control every aspect of the construction and styling of graphics. The options are carefully designed to be both flexible and powerful, and to fit in with Mathematica's sophisticated built-in algorithms for aesthetic optimization.
Symbolic Graphics Language
Mathematica uses the powerful idea of building up all 2D and 3D graphics from symbolic primitives - which can be manipulated using all standard Mathematica functions, and seamlessly integrated with text, math or tables. Symbolic graphics can also be used as input - and can be made dynamic and interactive.
Graphics Importing & Exporting
Mathematica can immediately export graphics and animations to online, print and web formats, preserving dynamic annotation when possible. Mathematica also has powerful capabilities for importing graphics, geometry and other formats - immediately translating to a variety of fully integrated symbolic forms.
Function Visualization
Long the standard for high-quality function and surface visualization, Mathematica incorporates a host of original numeric, symbolic and geometric algorithms that automate the immediate creation of highly aesthetic and technically correct 2D and 3D visualizations.
Dynamic Visualization
Building on Mathematica's integrated symbolic architecture it becomes easy to introduce powerful dynamic behavior into any aspect of visualization. Single Mathematica symbolic functions are all it takes to set up full interactive parameter explorations, animations, dynamic annotation or drill-down information viewers.
Graphics Interactivity & Drawing
Mathematica's unified symbolic graphics architecture makes possible powerful mixing of programmatic graphics generation with interactive editing and control. The Mathematica Drawing Tools palette makes it straightforward to modify existing plots or illustrations - or to create free-form ones from scratch.
Computational Geometry
Mathematica's strengths in algebraic computation and graphics as well as numerics combine to bring unprecedented flexibility and power to geometric computation. Making extensive use of original algorithms developed at Wolfram Research, Mathematica's ability to represent and manipulate geometry symbolically allows it for the first time to fully integrate generation, analysis and rendering of geometrical structures.
Sound and Sonification
Mathematica supports state-of-the-art sound generation, providing both arbitrary waveform synthesis from functions and data, and symbolic note-based MIDI-style sound synthesis. It also supports translation of arbitrary text, math, programs and graphics to speech.
Importing & Exporting
Mathematica automatically handles hundreds of data formats and subformats - all coherently integrated through Mathematica's uniform use of symbolic expressions. For each particular format, the correspondence between representations inside and outside Mathematica can be specified at any level of detail using Mathematica's general data elements mechanism.
Numerical Data
Huge numerical datasets are routine for Mathematica. Its powerful array primitives make large-scale array manipulation both easy to specify and highly efficient. And its integrated collection of state-of-the-art algorithms makes a broad range of sophisticated data analysis immediately accessible. Mathematica's symbolic architecture gives a new level of flexibility in representing results in forms that can be used for further computation.
Image Processing & Analysis
Mathematica provides broad and deep built-in support for both programmatic and interactive modern industrial-strength image processing - fully integrated with Mathematica's powerful mathematical and algorithmic capabilities. Mathematica's unique symbolic architecture and notebook paradigm allows images in visual form to be included and manipulated directly both interactively and in programs.
Processing Textual Data
Mathematica has uniquely flexible capabilities for processing large volumes of textual data. Most often data represented as a string is converted to lists or other constructs which can then be manipulated using Mathematica's powerful symbolic language constructs.
Files
Mathematica provides convenient and efficient system-independent functions for handling file-related constructs at all levels.
Date & Time
Mathematica has a highly flexible system for handling dates and times in almost any format, automatically converting between formats, and when necessary parsing strings representing dates.
Handling Arrays of Data
Mathematica routinely handles huge arrays of numeric, symbolic, textual or any other data, with any dimension or structure. Arrays are fully integrated into Mathematica's powerful core symbolic language, making possible extremely high-level array operations that are both elegant and efficient.
Statistics
Mathematica provides integrated support both for classical statistics and for modern large-scale data analysis. Its symbolic character allows broader coverage, with symbolic manipulation of statistical distributions, symbolic specification of functions and models, and general symbolic representations of large-scale data properties. Incorporating the latest numerics and computational geometry algorithms, Mathematica provides high-accuracy and high-reliability statistical results for datasets of almost unlimited size.
Signal Processing
Mathematica has powerful capabilities for explicit signal processing with large volumes of data, imported and exported in many formats, and for symbolic analysis of signal processing algorithms using state-of-the-art algebraic methods.
Binary Data
Mathematica provides high-performance reading and writing of binary data, to both files and pipes. A convenient symbolic format representation makes it straightforward to translate published instrumentation or logging specifications to a form that can immediately be used in Mathematica.
Database Connectivity
Mathematica has a built-in high-level interface to all standard SQL databases, that allows immediate searching, reading and writing of arbitrary data and expressions, as well as supporting general SQL database features, including discovery, result sets and transactions.
Download links, 654 Mb:
Download, Part 1
Download, Part 2
Download, Part 3
Download, Part 4
Download, Part 5
Download, Part 6
Download, Part 7
Mirror 1, Part 1
Mirror 1, Part 2
Mirror 1, Part 3
Mirror 1, Part 4
Mirror 1, Part 5
Mirror 1, Part 6
Mirror 1, Part 7
