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View Maple 15 Upgrade Pricing:
    


Parallel Performance

Maple 15 offers numerous options to take advantage of
parallel computing, from multi-core machines to large-scale compute
clusters, allowing you to tackle larger problems faster than ever
before. |
Top 10 Reasons to Upgrade  |
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Take advantage of over 270 new mathematical functions and hundreds of enhancements to existing algorithms |
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Solve more complex problems faster than ever before |
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Take full advantage of the power of multi-core computing |
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Compute symbolic solutions to differential equations that no other system can match |
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Work more effectively with large data sets with new Statistics functionality and the interactive data table |
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Create even more compelling interactive applications for use within Maple or deployment with MapleNet |
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Gain greater control of your worksheet sessions using the new variable manager |
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Take advantage of the latest in interactive assistants, tutors, task templates,
and other Clickable Math tools, including dozens of new built-in
demonstrations for illustrating common concepts in mathematics |
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Get serious about physical modelling and control design using the new DynamicSystems functionality together with MapleSim and the MapleSim Control Design Toolbox |
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Explore the MapleCloud with full-text search and easily share your documents with your colleagues, your class, or Maple users worldwide |
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"Maple
15 is impressive. I found useful improvements across the entire
product, and I'm especially happy with the new parallel computation
features. I've already noticed a speed-up in many Maple computations,
and I'm sure it's going to have a big impact on my research projects,
too."
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Dr. Amir Khajepour
Canada Research Chair in Mechatronic
Vehicle Systems
Professor, University of Waterloo
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Maple takes advantage of the full processing power of your computer,
automatically detecting and using all available processor cores to
perform many computations in parallel. You do not need to do any special
programming, change any options, or even know how many cores your
computer has! In Maple 15, many fundamental operations can be done in
parallel, so your results are available much faster and you can tackle
larger problems.
As an example, Maple 15 automatically parallelises
many polynomial operations. Since polynomial operations are used
extensively throughout the Maple library as part of other computations,
many different operations will also benefit from this parallelism.
For example, expanding polynomials takes advantage of multiple cores.

These operations, when run on a computer with an
Intel Core i7 920 processor, 2.66GHz 64-bit, give the following
execution times:

Due to improvements in memory management in Maple
15, this example requires about 20% less memory in Maple 15 than in
Maple 14. For larger examples, the memory improvement is even more
dramatic. More... |
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Maple
15 now allows you to launch multiple compute processes right from the
user level, without the need for any prior setup or administration.
The same API is used for large-scale grid computing on a cluster or
supercomputer, allowing you to easily prototype and test distributed
code on your own computer and then deploy the same code to a large grid.
With 4-core computers now commonplace and 8- to 12-core computers
becoming more popular, the new local grid functionality is a great
option to dive into parallel programming and experience instant
speedups, whether or not you want to later scale beyond your local
computer. More... |

Maple is the only technical computing system that allows you to take advantage of multithreading in your own programs. The
Maple programming language offers direct access to launching and
controlling threads. In addition, Maple also provides a task-based
programming model that simplifies thread management. Thread performance
has been significantly enhanced in Maple 15 and a number of important
additions to the task-based API mean you can write parallel programs
more effectively and take advantage of all the cores on your computer. More... |
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The Maple 15 Grid Computing Toolbox allows you to
deploy your parallel programs to large-scale compute clusters and
supercomputers, taking full advantage of all available
processing power to tackle very large problems. Maple Grids can be set
up on a dedicated cluster or integrated into existing MPI or Windows HPC
Server environments. Enhancements to the Grid package, including new
flexible argument passing, make Maple 15 an ideal environment for
serious high performance computing. More... |
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Maple can take advantage of CUDA-enabled graphics cards to leverage the tremendous computational power of those cards, dramatically speeding up key computations.

New in Maple 15, CUDA support is now also available on Macintosh OS® X platforms. More... |
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User Interface

Maple 15's smart document environment
gives you more options for developing your solutions, exploring
mathematical concepts, and sharing your results. |

The variable manager provides easy access to all variables
that are defined in your Maple session, allowing you to better manage
your documents, quickly assess the state of your computations, and
inspect variable values without the need to navigate through the
document. More... |


Maple provides over 160 plot types and options to visualise expressions and data across many domains. Plots
can be customized in a variety of ways, and annotated using text,
mathematical expressions, arrows, free-hand drawings, and more.
New in Maple 15, when plotting a trigonometric
expression, the axes are automatically labeled using multiples of π.

Maple 15 also provides the ability to directly
extract data from a plot, and new functionality for visualising
solutions of differential equations. More...
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Working with large amounts of data
is seamless in Maple 15 using the new data table, which can be embedded
directly into your document. The data in the table can be
changed both interactively and programmatically, to provide both power
and flexibility for your application.
The table data can be imported and exported using a variety of formats, including Microsoft Excel. More... |


With Maple 15, you can quickly build
sophisticated applications that include interactive elements such as
sliders, buttons, and dials in your document. You simply drag
and drop these interface components into your document, and then define
their behavior using a few simple Maple commands. In Maple 15, the new
data table is part of this collection of interactive components, so you
can build even more powerful applications that receive, display, and use
tabular data.
After an application is created, it can be
used within Maple or shared on the web using MapleNet. Saving the
unmodified document onto the MapleNet server is all it takes to deploy
and share your work. More... |
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Maple has over 60 interactive assistants and tutors as well as almost 350 task templates that
guide you through a wide range of common tasks, from plotting a
function to computing a volume integral, all without the need to know
command names, learn syntax, or remember option names.
Together with context-sensitive menus
that let you perform mathematical operations simply by clicking on an
expression in your document, these Clickable Math features are a major
reason why Maple has the shortest learning curve among technical
computing systems. Using these innovative tools, new users can start
getting results immediately.
In Maple 15, many of the interactive
assistants and tutors are further enhanced for even greater consistency
and ease of use. Maple 15 includes improved context-sensitive menus
optimised for use on smaller screens, such as on netbooks. In addition, Maple 15 introduces over 40 new mini-demonstrations, allowing you to explore and illustrate a broad set of fundamental mathematical concepts. More... |

Thousands of documents have been exchanged by our user community since the launch of the MapleCloud.
Maple 15 now enables you to search the content of documents in the
cloud repository, making it even easier to find documents of interest
quickly and open them in your Maple session. More... |
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Computational Algorithms

Maple 15 includes new world-class
algorithms for both symbolic and numeric computing, substantial
performance improvements, and support for new application areas. |

Maple is the
uncontested leader for computing symbolic solutions to differential
equations. Numerous improvements in Maple 15 further expand the classes
of problems that can be handled.
As an example, Maple 15 now computes symbolic
solutions to 97% of the 1390 linear and non-linear ODEs from the famous
text, Differentialgleichungen by Kamke. Mathematica® 8 only handles 79%. Maple also solves these ODEs almost 10 times faster than Mathematica.

In additional to its symbolic solvers, Maple can
also numerically solves large classes of ODEs, PDEs, and DAEs. In
particular, Maple 15 has highly efficient solvers for the notoriously
difficult high-index differential-algebraic equations, which can be
effectively used with large-scale problems. More... |

Many operations for numeric sparse matrices are optimised to run much faster than ever before.
Hardware float multiplication, transpose, block copy, concatenation,
and submatrix selection operations can now be done almost
instantaneously. More...
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Maple 15 makes
it possible to get full solutions to parametric polynomial equations,
showing all the different solutions in terms of the properties of the
unknown parameters.

The sum command also accepts a new 'parametric' option to give full case discussions involving parameters.

With new commands in the RegularChains package, you
can compute real solutions of polynomial systems involving inequalities
and inequations, which again allows you to explore parametric
solutions. More...
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A new interior-point method solver further strengthens the suite of optimisation solvers in Maple. The new solver offers significant speed improvements for large sparse linear problems. More... |
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The Maple symbolic computing engine is second to none in terms of scalability and performance. Maple
15 introduces a further significant enhancement for multiplication,
division and powering of large, dense polynomials, yielding speedups of a
factor of four or more. More... |
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Seventeen new commands in the Differential Geometry package
support advanced computations in the area of general relativity. Many
existing commands are enhanced, offering more functionality and
simplified calling sequences. Areas of enhancement include two-component
spinors and the Newman-Penrose formalism, special geometric fields,
matrix groups and Lie groups, invariant tensors, and a database of
solutions to the Einstein equations. More... |
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The Maple CARE and DARE solvers
for continuous and discrete algebraic Riccati equations are enhanced
with high-precision solvers that allow you to get solutions beyond IEEE
double precision. These kinds of equations are important for many
applications, and are particularly useful in control design. More...
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Maple offers extensive statistics
functionality, allowing you to compute both symbolic and numeric results
for a large variety of application domains. With Maple, you can:
- Work with more statistical
properties than any other system. Maple provides 35 distributions and
allows you to compute with 45 different properties of those
distributions.
- Easily create your own
distributions by supplying a formula for the respective probability
distribution function or cumulative distribution function, or simply by
combining existing distributions.
- Perform estimations using maximum likelihood and other methods as well as hypothesis testing.
- Run data smoothing to extract identifiable patterns from noisy data .
- Use interactive assistants and templates to easily access the tremendous power of this package and get results quickly.
Maple 15 features a number of new
commands and enhancements to the statistics functionality in Maple. In
particular, new commands efficiently compute approximations of the
autocorrelations of a discrete time series and the cross-correlations of
a pair of discrete time series. More... |
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With Maple, you can seamlessly attach units and
tolerances to your variables and perform computations with such
quantities. Maple is able to convert between over 500 different units, check unit consistency, and compute bounds on the result of a computation involving input tolerance values.
Among the enhancements in Maple 15 is a new routine to provide greater control over unit simplification. More...
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Numerous additional improvements have been made to the computational engine in Maple 15.

Some examples include:
- The introduction of Bell polynomials
- A new package for computing with Magma
- New functionality in DEtools and PDEtools
- New routines for working with arrays
- Improvements to the Maple debugger
- A new programming guide to help you get the most of the Maple programming language
More... |
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Control Design
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Physics
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Financial Modelling
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Maple has an extensive range of tools for working with
linear systems using the DynamicSystems package. Together with MapleSim
and the MapleSim Control Design Toolbox, Maple offers a very effective
environment for linear and nonlinear control design.
- Definition of linear and nonlinear
systems using transfer functions, state-space matrices, zero-pole-gain
as well as differential equations and easy conversion between these
representations
- Support for continuous and discrete systems with multiple discretization schemes
- Standard analysis tools from
Bode, Nyquist, Zero Pole, Root Locus and Root Contour plots to
observability, controllability and Routh tables
- Computation of operating points and model linearization
- PID tuning with Ziegler-Nichols (time and frequency response) as well as Cohen-Coon
- Advanced PID tuning methods: Dominant pole placement, Pole placement in a specified region and gain and phase margin
- State-feedback control: LQR as well as single and multiple input pole placement
State estimation: Kalman filters as well as single and multiple input pole placement
Maple's symbolic engine allows you
to introduce parameters and compute results in terms of those
parameters. Improvements in Maple 15 in the area of control design
include added flexibility when specifying input and output parameters. More... |
Maple
is a great tool for many applications in physics research and teaching.
Kinematics, dynamics, tensor calculations, computing closed-form
solutions to ordinary and partial differential equations, differential
geometry, abstract vector algebra, special functions, electrodynamics,
general relativity, quantum mechanics, and Feynmann diagrams are some of
the areas in which you can perform advanced calculations using Maple.

Advances in solving differential equations,
introduction of the Bell functions, and new algorithms for differential
geometry in Maple 15 further increase the depth and breath of physics
applications that can be done in Maple. More... |

The new Finance package offers a
rich set of functions for financial modelling in the areas of risk
analysis, portfolio management, quantitative analysis, and model
validation.
Available features include:
- Tools for creating and analyzing term structures of interest rates
- Stochastic processes and simulation, and symbolic tools for manipulating stochastic variables
- Lattice methods, tools to
construct binomial and trinomial trees, including equity trees,
short-rate trinomial trees, implied binomial, and trinomial trees
- Calendars, day counters, and interest rates
- Support for instruments such as
European, American and Bermudan options, and the ability to create new
instruments by specifying payoff as a Maple procedure
- Bonds and swaps
This package is not available on 64-bit Windows, but can be accessed by installing the 32-bit version. More... |
Connectivity

With Maple 15, connecting to the internet and to other products in your toolchain has never been easier. |

C# joins C, Java, Fortran, Visual Basic, and MATLAB as
a new target language for code generation. Using the code generation
tools, Maple expressions and programs can easily be converted to
royalty-free source code.

Maple 15 also includes a new optimisation algorithm
that generates even more efficient and compact code than before. The
symbolic techniques used in this optimisation process go far beyond what
standard language compilers can achieve, and allow you to take very
complex expressions and generate efficient numeric code to evaluate
them. More... |
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Maple 15 offers a new package for making
connections to web sites and retrieving results. You can connect to data
feeds, online databases, and other sources of internet and intranet
information, and incorporate that data automatically into Maple
applications.
The extremely wide range of applications for
this functionality include financial data analysis and geo-mapping. More... |

Excel connectivity in Maple 15 is more flexible, with new ways to extract and manage data. More...
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Maple adds important analysis capabilities to CAD systems,
giving CAD users the ability to use Maple's computational power to
analyze and optimise designs. Maple connects to the three major CAD
tools on the market: Solidworks, NX, and Autodesk Inventor. With Maple
15, CAD connectivity is expanded to include NX 7. More...
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Support for importing and exporting MATLAB® matrices in Maple has been extended to handling sparse matrices as well as dense ones. More... |
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