Quelles sont les fontes T1 disponibles pour les mathématiques ?#

If you are interested in text alone, you can in principle use any of the huge numbers of text fonts in Adobe Type 1, TrueType or OpenType formats. The constraint is, of course, that your previewer and printer driver should support such fonts (TeX itself only cares about metrics, not the actual character programs).

If you also need mathematics, then your choice is more limited, in particular by the demands that TeX makes of maths fonts (for details, see the papers by B.K.P. Horn in TUGboat 14(3), or by Thierry Bouche in TUGboat 19(2)). There are several options available, which are based on Knuth’s original designs. Others complement other commercial and free text font designs; one set (MicroPress’s “informal math”) stands alone.

Users should also consider the possibilities of typesetting maths using OpenType fonts.

“Free” font families that will support TeX mathematics include :

• Computer Modern (75 fonts – optical scaling) by Donald E. Knuth.

The CM fonts were originally designed in MetaFont, but are also now available in scalable outline form. There are commercial as well as public domain versions, and there are both Adobe Type 1 and TrueType versions. A set of outline versions of the fonts was developed as a commercial venture by Y&Y and Blue Sky Research; they have since assigned the copyright to the AMS, and the fonts are now freely available from CTAN. Their quality is such that they have become the de facto standard for Type 1 versions of the fonts.

• AMS fonts (52 fonts, optical scaling) from the AMS.

This set of fonts offers adjuncts to the CM set, including two sets of symbol fonts (msam and msbm) and Euler text fonts. These are not a self-standing family, but merit discussion here (not least because several other families mimic the symbol fonts). Freely-available Type 1 versions of the fonts are available on CTAN. The eulervm package permits use of the Euler maths alphabet in conjunction with text fonts that do not provide maths alphabets of their own (for instance, Adobe Palatino or Minion).

• Mathpazo version 1.003 (5 fonts) by Diego Puga.

The Pazo Math fonts are a family of type 1 fonts suitable for typesetting maths in combination with the Palatino family of text fonts. Four of the five fonts of the distribution are maths alphabets, in upright and italic shapes, medium and bold weights; the fifth font contains a small selection of “blackboard bold” characters (chosen for their mathematical significance). Support under LaTeX2e is available in PSNFSS; the fonts are licensed under the GPL, with legalese permitting the use of the fonts in published documents.

• Fourier/Utopia (15 fonts) by Michel Bovani.

Fourier is a family built on Adobe Utopia (which has been released for usage free of charge by Adobe). The fonts provide the basic Computer Modern set of mathematical symbols, and add many of the AMS mathematical symbols (though you are expected to use some from the AMS fonts themselves). There are also several other mathematical and decorative symbols. The fonts come with a fourier package for use with LaTeX; text support of OT1 encoding is not provided — you are expected to use T1.

• Fourier/New Century Schoolbook by Michael Zedler

Fouriernc is a configuration using the Fourier fonts in the ConTeXt of New Century Schoolbook text fonts.

• KP-fonts from the Johannes Kepler project.

The kp-fonts family provides a comprehensive set of text and maths fonts. The set includes replacement fixed-width and sans fonts (though some reports have suggested that these are less successful, and their use may be suppressed when loading the fonts’ kpfonts LaTeX support package). For an example, see http://www.tug.dk/FontCatalogue/kpserif/

• MathDesign (3 free families, 3 commercial-based families…so far) by Paul Pichaureau.

This set so far offers mathematics fonts to match the free fonts Adobe Utopia, URW Garamond and Bitstream Charter (the text versions of all of which are separately available, on CTAN, in Type 1 format), and Adobe Garamond Pro, Adobe UtopiaStd and ITC Charter (which are commercial fonts, all available for purchase on the web). There has been a little comment on these fonts, but none from actual users posted to the public forums. Users, particularly those who are willing to discuss their experiences, would obviously be welcome. Browse the CTAN directory and see which you want : there is a wealth of documentation and examples. For samples of the free variants, see http://www.tug.dk/FontCatalogue/garamond/ for URW Garamond

• Belleek (3 fonts) by Richard Kinch.

Belleek is the upshot of Kinch’s thoughts on how MetaFont might be used in the future : they were published simultaneously as MetaFont source, as Type 1 fonts, and as TrueType fonts. The fonts act as “drop-in” replacements for the basic MathTime set (as an example of “what might be done”).

The paper outlining Kinch’s thoughts, proceeding from considerations of the “intellectual” superiority of MetaFont to evaluations of why its adoption is so limited and what might be done about the problem, is to be found at http://truetex.com/belleek.pdf.

• MTPro2 Lite by Michael Spivak from Publish or Perish, Inc.

A (functional) subset of the MathTime Pro 2 font set, that is made available, free, for general use. While it does not offer the full power of the commercial product (see below), it is nevertheless a desirable font set.

• Mathptmx by Alan Jeffrey, Walter Schmidt and others.

This set contains maths italic, symbol, extension, and roman virtual fonts, built from Adobe Times, Symbol, Zapf Chancery, and the Computer Modern fonts. The resulting mixture is not entirely acceptable, but can pass in many circumstances. The real advantage is that the mathptm fonts are (effectively) free, and the resulting PostScript files can be freely exchanged. Support under LaTeX2e is available in PSNFSS.

• Computer Modern Bright Free, scalable outline versions of these

fonts do exist; they are covered below together with their commercial parallels.

• URW Classico (4 fonts). LaTeX support by Bob Tennent.

These are clones of Zapf’s Optima available from CTAN (for non-commercial use only). Mathematics support can be provided by using packages eulervm or sansmath. As a sans-serif font family, Optima is especially suitable for presentations.

The excellent font catalogue keeps an up-to-date list which describes the fonts by giving names and short examples, only. (At the time of writing — June 2008 — the list has several that are only scheduled for inclusion here.

Another useful document is Stephen Hartke’s “Free maths font survey”, which is available on CTAN in both PDF and HTML formats. The survey covers most of the fonts mentioned in the font catalogue, but also mentions some (such as Belleek that the catalogue omits.

Fonts capable of setting TeX mathematics, that are available commercially, include :

• BA Math (13 fonts) from MicroPress Inc.

BA Math is a family of serif fonts, inspired by the elegant and graphically perfect font design of John Baskerville. BA Math comprises the fonts necessary for mathematical typesetting (maths italic, math symbols and extensions) in normal and bold weights. The family also includes all OT1 and T1 encoded text fonts of various shapes, as well as fonts with most useful glyphs of the TS1 encoding. Macros for using the fonts with Plain TeX, LaTeX 2.09 and current LaTeX are provided. For further details (including samples) see http://www.micropress-inc.com/fonts/bamath/bamain.htm.

• CH Math (15 fonts), from MicroPress Inc.

CH Math is a family of slab serif fonts, designed as a maths companion for Bitstream Charter. (The distribution includes four free Bitstream text fonts, in addition to the 15 hand-hinted MicroPress fonts.) For further details (including samples) see http://www.micropress-inc.com/fonts/chmath/chmain.htm

• Computer Modern Bright (62 fonts – optical scaling) by Walter Schmidt.

CM Bright is a family of sans serif fonts, based on Knuth’s CM fonts. It comprises the fonts necessary for mathematical typesetting, including AMS symbols, as well as text and text symbol fonts of various shapes. The collection comes with its own set of files for use with LaTeX. The CM Bright fonts are supplied in Type 1 format by MicroPress, Inc. The hfbright bundle offers free Type 1 fonts for text using the OT1 encoding — the cm-super fonts provide the fonts in T1 text encoding but don’t support CM bright mathematics. For further details of Micropress’ offering (including samples) see http://www.micropress-inc.com/fonts/brmath/brmain.htm

• Concrete Math (25 fonts – optical scaling), by Ulrik Vieth

The Concrete Math font set was derived from the Concrete Roman typefaces designed by Knuth. The set provides a collection of math italics, math symbol, and math extension fonts, and fonts of AMS symbols that fit with the Concrete set, so that Concrete may be used as a complete replacement for Computer Modern. Since Concrete is considerably darker than CM, the family may particularly attractive for use in low-resolution printing or in applications such as posters or transparencies. Concrete Math fonts, as well as Concrete Roman fonts, are supplied in Type 1 format by MicroPress, Inc. For further information (including samples) see http://www.micropress-inc.com/fonts/ccmath/ccmain.htm.

• HV Math (14 fonts), from MicroPress Inc.

HV Math is a family of sans serif fonts, inspired by the Helvetica ™ typeface. HV Math comprises the fonts necessary for mathematical typesetting (maths italic, maths symbols and extensions) in normal and bold weights. The family also includes all OT1 and T1 encoded text fonts of various shapes, as well as fonts with most useful glyphs of the TS1 encoding. Macros for using the fonts with Plain TeX, LaTeX 2.09 and current LaTeX are provided. Bitmapped copies of the fonts are available free, on CTAN. For further details (and samples) see http://www.micropress-inc.com/fonts/hvmath/hvmain.htm

• Informal Math (7 outline fonts), from MicroPress Inc.

Informal Math is a family of fanciful fonts loosely based on the Adobe’s Tekton ™ family, fonts which imitate handwritten text. Informal Math comprises the fonts necessary for mathematical typesetting (maths italic, maths symbols and extensions) in normal weight, as well as OT1 encoded text fonts in upright and oblique shapes. Macros for using the fonts with Plain TeX, LaTeX 2.09 and current LaTeX are provided. For further details (including samples) see http://www.micropress-inc.com/fonts/ifmath/ifmain.htm.

• Lucida Bright with Lucida New Math (25 fonts), by Chuck Bigelow and Kris Holmes.

Lucida is a family of related fonts including seriffed, sans serif, sans serif fixed width, calligraphic, blackletter, fax, Kris Holmes’ connected handwriting font, etc; they’re not as “spindly” as Computer Modern, with a large x-height, and include a larger set of maths symbols, operators, relations and delimiters than CM (over 800 instead of 384 : among others, it also includes the AMS msam and msbm symbol sets). “Lucida Bright Expert” (14 fonts) adds seriffed fixed width, another handwriting font, smallcaps, bold maths, upright “maths italic”, etc., to the set. Support under LaTeX is available under the auspices of the PSNFSS, and pre-built metrics are also provided. TUG has the right to distribute these fonts; the web site Lucida and TUG has details.

• Adobe Lucida, LucidaSans and LucidaMath (12 fonts).

Lucida and LucidaMath are generally considered to be a bit heavy. The three maths fonts contain only the glyphs in the CM maths italic, symbol, and extension fonts. Support for using LucidaMath with TeX is not very good; you will need to do some work reencoding fonts etc. (In some sense this set is the ancestor of the LucidaBright plus LucidaNewMath font set, which are not currently available.)

• MathTime Pro2, by Michael Spivak from Publish or Perish Inc.

This latest instance of the MathTime family covers all the weights (medium, bold and heavy) and symbols of previous versions of MathTime. In addition it has a much extended range of symbols, and many typographic improvements that make for high-quality documents. The fonts are supported under both Plain TeX and LaTeX2e, and are exclusively available for purchase from Personal TeX Inc. For further details and samples and fliers, see http://www.pctex.com/mtpro2.html.

• Minion Pro and MnSymbolAdobe, LaTeX support and packaging by Achim Blumensath et al.

Minion Pro derives from the widely-available commercial OpenType font of the same name by Adobe; scripts are provided to convert relevant parts of it to Adobe Type 1 format. The MinionPro package will set up text and maths support using Minion Pro, but a separate (free) font set MnSymbol greatly extends the symbol coverage.

• PA Math is a family of serif fonts

loosely based on the Palatino ™ typeface. PA Math comprises the fonts necessary for mathematical typesetting (maths italics, maths, calligraphic and oldstyle symbols, and extensions) in normal and bold weights. The family also includes all OT1, T1 encoded text fonts of various shapes, as well as fonts with the most useful glyphs of the TS1 encoding. Macros for using the fonts with Plain TeX, LaTeX 2.09 and current LaTeX are provided. For further details (and samples) see http://www.micropress-inc.com/fonts/pamath/pamain.htm

• TM Math (14 fonts) from MicroPress Inc.

TM Math is a family of serif fonts, inspired by the Times ™ typeface. TM Math comprises the fonts necessary for mathematical typesetting (maths italic, maths symbols and extensions) in normal and bold weights. The family also includes all OT1 and T1 encoded text fonts of various shapes, as well as fonts with most useful glyphs of the TS1 encoding. Macros for using the fonts with Plain TeX, LaTeX 2.09 and current LaTeX are provided. Bitmapped copies of the fonts are available free, on CTAN. For further details (and samples) see http://www.micropress-inc.com/fonts/tmmath/tmmain.htm.

Two other font sets should be mentioned, even though they don’t currently produce satisfactory output — their author is no longer working on them, and several problems have been identified :

• Pxfonts set version 1.0 (26 fonts) by Young Ryu. The pxfonts set consists of

• virtual text fonts using Adobe Palatino (or its URW replacement, Palladio) with modified plus, equal and slash symbols;

• maths alphabets using Palatino (or Palladio);

• maths fonts of all symbols in the computer modern maths fonts (cmsy, cmmi, cmex and the Greek letters of cmr);

• maths fonts of all symbols corresponding to the AMS fonts (msam and msbm);

• additional maths fonts of various symbols.

The text fonts are available in OT1, T1 and LY1 encodings, and TS encoded symbols are also available. The sans serif and monospaced fonts supplied with the txfonts set (see below) may be used with pxfonts; the txfonts set should be installed whenever pxfonts are. LaTeX, dvips and pdfTeX support files are included.

The fonts are not perfect; the widths assigned to the characters in the tfm file are wrong for some glyphs; this can cause sequences of characters to “look wrong”, or in some cases even to overlap; the newpx fonts (noted above) aim to reduce these problems.

The fonts are licensed under the GPL; use in published documents is permitted.

• Newpx by Michael Sharpe from Young Ryu’s pxfonts.

This collection is derived from pxfonts; the maths fonts metrics have been adjusted so that the output is less cramped than when pxfonts is used; the appearance of the output is much improved. Two packages are provided, newpxtext for using the associated text fonts, and newpxmath for mathematics.

• Txfonts set version 3.1 (42 fonts) by Young Ryu. The txfonts set consists of

• virtual text fonts using Adobe Times (or the URW Nimbus Roman No9 L font that substitutes for Times, which is distributed as part of the URW “basic 35” collection) with modified plus, equal and slash symbols;

• matching sets of sans serif and monospace (“typewriter”) fonts (the sans serif set is based on Adobe Helvetica);

• maths alphabets using Adobe Times, or the URW equivalent NimbusRomanNo9;

• maths fonts of all symbols in the computer modern maths fonts (cmsy, cmmi, cmex and the Greek letters of cmr);

• maths fonts of all symbols corresponding to the AMS fonts (msam and msbm);

• additional maths fonts of various symbols.

The text fonts are available in OT1, T1 and LY1 encodings, and TS encoded symbols are also available.

The fonts are not perfect; the widths assigned to the characters in the tfm file are wrong for some glyphs; this can cause sequences of characters to “look wrong”, or in some cases even to overlap; the newtx fonts (noted above) aim to reduce these problems.

The fonts are licensed under the GPL; use in published documents is permitted.

• Txfontsb set version 1.00 by Young Ryu and Antonis Tsolomitis.

The txfontsb bundles txfonts, extended to provide a Small Caps set, Old-Style numbers and Greek text (from the GNU Freefont set). Documentation is available for this variant, too.

• Newtxby by Michael Sharpe from Young Ryu’s txfonts.

This collection is derived from txfonts; the maths fonts metrics have been adjusted so that the output is less cramped than when txfonts is used; the appearance of the output is much improved. Two packages are provided, newtxtext for using the associated text fonts, and newtxmath for mathematics. Options are provided to substitute letters and symbols from the Libertine set, and from the Garamond extension font garamondx (but note that garamondx, which is an adaptation of URW Garamond, is not available via TeX Live).

Finally, one must not forget proprietary fonts from various sources. Since having a high quality font set in scalable outline form that works with TeX can give a publisher a real competitive advantage, there are some publishers that have paid (a lot) to have such font sets made for them. Unfortunately, these sets are not available on the open market, despite the likelihood that they’re more complete than those that are.

We observe a very limited selection of commercial maths font sets; a Type 1 maths font has to be explicitly designed for use with TeX, which is an expensive business, and is of little appeal in other markets. Furthermore, the TeX market for commercial fonts is minute by comparison with the huge sales of other font sets.

Text fonts in Type 1 format are available from many vendors including Adobe, Monotype and Bitstream. However, be careful with cheap font “collections”; many of them dodge copyright restrictions by removing (or crippling) parts of the font programs such as hinting. Such behaviour is both unethical and bad for the consumer. The fonts may not render well (or at all, under ATM), may not have the “standard” complement of 228 glyphs, or may not include metric files (which you need to make TFM files).

TrueType was for a long time the “native” format for Windows, but MicroSoft joined the development of the OpenType specification, and “modern” windows will work happily with fonts in either format. Some TeX implementations such as TrueTeX use TrueType versions of Computer Modern and Times Maths fonts to render TeX documents in Windows without the need for additional system software like ATM. (When used on a system running Windows XP or later, TrueTeX can also use Adobe Type 1 fonts.)

When choosing fonts, your own system environment may not be the only one of interest. If you will be sending your finished documents to others for further use, you should consider whether a given font format will introduce compatibility problems. Publishers may require TrueType exclusively because their systems are Windows-based, or Type 1 exclusively, because their systems are based on the early popularity of that format in the publishing industry. Many service bureaus don’t care as long as you present them with a finished print file (PostScript or PDF) for their output device.