This monograph introduces students and professionals into the different aspects of the famous mathematical package Maple of releases 6 - 10. It is immediate continuation of our previous books on the Maple problems published in Russia, Byelorussia, Estonia and Lithuania. This monograph represents a fully revised and essentially supplemented edition of these books whose pressrun was completely sold out. The monograph presents a Library for the modern computer algebra system Maple of releases 6 - 10 on platform Windows 95 and above, extending its basic tools and increasing its efficiency in many appendices of different destination.

The Library contains well-designed software (more than 600 procedures and program modules), which well supplements the already available Maple software with the orientation towards the widest circle of the Maple users, greatly enhancing its usability and effectiveness. Our experience and experience of our colleagues from universities and the academic institutes of Lithuania, Latvia, Belarus, Estonia and Russia reveal that the use of the Library provides more opportunities of Maple of releases 6 - 10, simplifying the programming of various practical problems in its environment. The Library will be of special interest above all to those who use Maple not only as a highly intellectual calculator but also as environment for programming of different problems in own professional activities. Generally speaking, the Library is designed for a wide audience of experts, teachers, post-graduates and students of natural-science professions who use Maple of releases 6 - 10 on Windows platform in own professional activity. The Library has been rewarded by "Smart Award" from Smart DownLoads Network and has been distinguished by other awards in the name of software developers.

The Library tools represented in the book increase the range and efficiency of use of the Maple package on Windows platforms 95/98/98SE/ME/NT/XP/2000/2003 owing to the innovations in three basic directions: (1) elimination of a series of serious defects and shortcomings, (2) extending of performance capabilities of a series of standard tools, and (3) replenishment of the package by new means which increase capabilities of its program environment, including the means which improve the level of compatibility of releases 6 - 10. The basic attention is devoted to additional tools created in the process of practical use and testing the Maple package of releases 4 - 9 which by some parameters extend essentially the opportunities of the package and facilitate the work with it. The considerable attention is also devoted to the means providing package compatibility of releases 6 - 10. The given problem is serious enough, above all, at conversion of software, created in Maple 6, into environment of higher releases, and vice versa. Furthermore, the book represents a series of tools providing the Maple compatibility relatively to the host operating system, whose actuality takes place, for example, for Windows 98SE and below, on the one hand, and Windows XP and later, on the other hand. The experience in the use of given software has confirmed its high operational characteristics at the usage of Maple in numerous appendices on the different Windows platforms and in environment of the above-mentioned Maple releases.

Each Library tool represented in the book is supplied with description and explanations, and contains the source code and the more typical examples of its use. As required, the description has supplied by the necessary considerations, concerning peculiarities of its execution in the Maple environment of one or another release, and of the current Windows platform. On source codes and examples of embodying of the given facilities, the use of various useful receptions, including non-standard ones, is illustrated; these receptions allow in many cases essentially to simplify programming problems in environment of the package and to make them by more transparent from the mathematical point of view. Thus, the book can serve as an useful enough practical programming guide on the Maple language. Furthermore, presence of source codes of all Library tools allows to adapt their to other underlying platforms different from Windows.

The means represented in the monograph cover the basic subjects such as:

1. General purpose software
2. Software for work with procedural and modular objects of Maple
3. Software for operation with numeric expressions
4. Software for operation with strings and symbolic expressions
5. Software for operation with sets, tables and lists
6. Software to support data structures of a special type
7. Software to support bit-by-bit processing of symbolic information
8. Tools extending graphic possibilities of Maple of releases 6 - 10
9. Tools that extend and improve the standard tools of Maple
10. Software for working with Maple datafiles and documents
11. Software for solving problems of mathematical analysis
12. Software for solving problems of linear algebra
13. Software to support simple statistics problems
14. Software for operation with the user libraries

The represented Library is structurally similar to the main Maple library and is supplied with the advanced Help database. In addition, the Library is logically linked with the main Maple library, providing access to the tools contained in it similarly to the package tools. The simple guide describes the installation of the Library at presence on computer with one of the above-mentioned Windows platforms of the installed Maple of releases 6 - 10. Archive with the Library is delivered as the attachment to the monograph. Additionally, the archive contains the datafile with source codes of the Library software and mws-files with help-pages composing Help database of the Library, and a set of Maple documents with useful examples demonstrating a lot of effective receptions of programming.

This monograph will be interesting for scientists, researchers, candidates for doctor's or master's degree in the field of computer algebra systems, and experts and researchers in other areas of physics and mathematics who use computer algebra systems in own professional activity. All Library tools can be viewed and modified by users. Therefore, it is useful to learn the Maple programming language so that you can modify existing Maple code to produce customized means. All this allows to hope, that the represented book and the software attached to it will appear useful enough to broad audience of the Maple users, both for the beginners and the skilled ones.

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