derivations (0.4.20060920)

  * (Andreas Jochens and Julian Gilbey) Replaced all instances of the
    LaTeX \scalebox macro with the new \localscalebox, defined in
    tex/def.tex, thus allowing the user building from source to select
    teTeX-2 or teTeX-3 \scalebox syntax as appropriate.  Thanked Andreas
    Jochens for identifying the bug and Julian Gilbey for fixing it.
  * Identified and removed from the book source many commented-out
    passages of text never likely to be used again.
  * In tex/alggeo.tex (Classical algebra and geometry):
    - Explicitly pointed out that 0! == 1.
    - Better motivated the long division procedure.  Appended thereto an
      explanation of why remainders have order one less than divisors.
    - Extended the title of the subsection "Common power-series
      quotients" with "... and the geometric series."
    - Added the new subsection "Variations on the geometric series."
    - Appended to the discussion of roots and poles a brief
      parenthetical note on branch points.
    - Slightly expanded the narrative in the section "Complex
      numbers (introduction)."
  * In tex/trig.tex (Trigonometry), changed the angle symbol beta to psi
    in the "Rotation" section, to avoid confusion with the beta of the
    following section.
  * In tex/cexp.tex (The complex exponential):
    - Rewrote the discussion of the bound on the constant e.  Added
      plots of the natural exponential and the natural logarithm.
    - Replaced the analogy of the mirrored portrait with an analogy of
      reflected handwriting.
    - Corrected the several "d/dz" to "d/dw" in the table "Derivatives
      of the inverse trigonometrics."
  * In tex/noth.tex (Primes, roots and averages):
    - Replaced the entire convoluted contents of the "Polynomial roots"
      subsection with a simpler, much briefer argument to the same
      effect.
    - Slightly shortened and clarified the paragraph on finding roots
      and the Newton-Raphson.
  * In tex/integ.tex (The integral),
    - Reorganized and partly rewrote the chapter's introduction and
      first section.  Added a figure on the trapezoid rule.
    - Added the new section "Checking integrations."
    - Slightly revised the section "Remarks (and exercises)."
  * In tex/taylor.tex (The Taylor series):
    - Slightly reworded some parts of the section "Shifting a power
      series' expansion point."
    - In the section "The multidimensional Taylor series," explicitly
      displayed a few more instances of the k-vector.
  * In tex/inttx.tex (Integration techniques):
    - Clarified the integration checks.
    - Expanded the "Integration by parts" section.
    - Added a little more explanation to the end of the "Method of unknown
      coefficients" section.
    - In the section "Integration by closed contour," explained
      why I_1 + I_3 != 0.  Expanded and clarified the section.
    - In the section "Integration by partial-fraction expansion,"
      replaced a confusing limit with a more precise ratio of equations.
  * Reduced the type size in the book's index.
  * Edited the rest of the book in further, minor ways.
  * Split the two unlinked rough-draft chapters reluctantly into three,
    with the new, middle one being tex/invdet.tex, tentatively
    entitled "Matrix inversion and the determinant."  (The chapter
    tex/matrix.tex, "The matrix," had grown too long comfortably to
    accommodate further material.)
  * Below in this changelog, corrected the incorrect former version
    number (0.1.19891206) to the correct number (0.1.19890714).

 -- Thaddeus H. Black <derivations@b-tk.org>  Wed, 20 Sep 2006 00:00:00 +0000

derivations (0.4.20060804)

  * Advanced the version number to 0.4, observing that the typeset
    manuscript had grown into a concise but entire book.  (The previous
    revision might have been 0.4, too; but the author did not want to
    rush the revolution.  However, the time has come.  Many more
    chapters remain to be added to the book, but the book's basic
    content is all there now.  Arguably, this revision could even be
    numbered 1.0, but, well, let us not rush that.  The number 1.0 can
    afford to wait many years if we want.  The 0.4 will do for the time
    being.)
  * Started a new practice, appropriate now to the manuscript's rising
    overall maturity level, of not linking new, immature material into
    the actual book.  Noted therefore that the tex/ directory can now
    contain source files which the actual book does not yet include.
    Advised developers and others reading the source to review
    tex/main.tex to see which material the book does officially include.
  * Began the new chapters tex/matrix.tex and tex/mtxalg.tex---"The
    Matrix" and "Matrix Algebra," respectively---but in LaTeX source
    form only.  Did not yet link them into the actual book.
  * Throughout the LaTeX source, to improve the quality of the
    typesetting, added TeX tilde ~ ties as practical and appropriate to
    attach in-line variable names and short factors to the preceding
    words, thus preventing most lines of narrative text from beginning
    with a variable name.
  * Rationalized and explained the <- change-of-variable / assignment
    notation.  Corrected several instances where the notation had
    improperly been applied in reverse.
  * In tex/pref.tex (Preface), further slightly refined the rhetoric.
  * In tex/intro.tex (Introduction):
    - Added a pertinent 1924 quote of R. Courant and D. Hilbert.
    - Deleted unnecessary verbiage from the "Complex numbers and complex
      variables" section.
  * In tex/alggeo.tex (Classical algebra and geometry):
    - Added the new subsection "Negative numbers."
    - Added the new subsection "The change of variable."
    - Added the new section "The arithmetic series."
  * Edited most of the chapters and other parts of the book in further,
    minor ways.
  * Warmly welcomed Karl Sarnow and Xplora Knoppix
    [http://www.xplora.org/downloads/Knoppix] aboard as a distributor of
    the book.

 -- Thaddeus H. Black <derivations@b-tk.org>  Fri, 04 Aug 2006 00:00:00 +0000

derivations (0.3.20060607)

  * Reviewed the book line by line, finding and correcting many
    deficiencies.
  * Added the new file tex/sphere.tex, providing not a chapter but
    rather a detailed figure of the sphere and its parts, to be included
    in the book where needed.
  * In tex/pref.tex (Preface), reworded one sentence slightly.
  * In tex/intro.tex (Introduction), added the new section "Complex
    numbers and complex variables."
  * In tex/alggeo.tex (Classical algebra and geometry):
    - Added the new subsection "Negative numbers."
    - Improved the explanation of long division.
    - Distinguished poles from other singularities.
  * In tex/trig.tex (Trigonometry):
    - Added a plot of the sine function.
    - Condensed and clarified the formerly ponderous calculation of the
      trigonometrics of the principal angles.
    - Added the new section "Cylindrical and spherical coordinates."
  * In tex/drvtv.tex (The derivative):
    - Improved the introduction to combinatorics.
    - Added the new subsection "Complex powers of numbers near unity."
    - Contrasted the unbalanced against the balanced definition of the
      derivative.
    - Added the new subsection "The derivative of a function of a
      complex variable."
    - Expanded and slightly renamed the subsection "The derivative
      of z^a."
    - Added the new subsection "The logarithmic derivative."
  * In tex/cexp.tex (The complex exponential):
    - Sharpened the development of Euler's formula.
    - Refined the discussion of Occam's razor and the modeling of wave
      phenomena by complex functions.
  * In tex/noth.tex (Primes, roots and averages), oriented the reader
    subjectively to parallel addition.
  * In tex/integ.tex (The integral):
    - Rendered more precise the presentation of the basic integral
      concept.
    - Correcting an oversight, added a balanced definition of the
      integral to match the balanced definition of the derivative of
      tex/drvtv.tex.
    - Clarified the antiderivative.  Presented the fundamental theorem
      of calculus more explicitly.
    - Added the new section "Areas and volumes."
    - Correcting an oversight, properly introduced the contour
      integration symbol.
    - Added the new section "Discontinuities," presenting the Heaviside
      unit step and the Dirac delta.
  * Substantially rewrote tex/taylor.tex (The Taylor series).
  * In tex/inttx.tex (Integration techniques):
    - Rewrote the chapter's introduction.
    - Highlighted the usefulness of (d/dz) ln(z) as an antiderivative,
      even where z is not a real, positive number.
    - Motivated better the method of unknown coefficients.  Added a
      second example of the method, this time applied to a differential
      equation.
    - Cautioned the reader against enclosing branch points in Cauchy
      contours.
    - Fixed false counter indexing in the method of unknown
      coefficients.
    - Restored a missing coefficient in the pole-separation formula.
    - Added the new section "Integration by Taylor series."
  * In tex/hex.tex (Appendix: Hex and other notational matters), fixed
    some typos and slightly improved the prose in a few spots.
  * In tex/greek.tex (Appendix: The Greek alphabet), identified
    loop-counting variables more precisely.
  * In tex/main.tex, in the copyright and licensing statement,
    changed the word "may" to the more standard "can."
  * Edited the book in many lesser ways not itemized here.
  * Observed here that the book's first nine chapters, through
    tex/inttx.tex (Integration techniques), were now substantially
    complete; and that---although many, many interesting mathematical
    topics remained for the book to treat in coming years---the
    manuscript as it stood finally formed a concise but entire book.
    Noted for historical interest that the book had 212 pages, with nine
    chapters plus appendices, a preface and other such auxiliary parts.

 -- Thaddeus H. Black <derivations@b-tk.org>  Wed, 07 Jun 2006 00:00:00 +0000

derivations (0.3.20060508)

  * In tex/alggeo.tex (Classical algebra and geometry):
    - (Juan Pedro Vallejo) Swapped p and q in the "Power properties and
      definitions" table.
    - Added a table summarizing general properties of the logarithm.
  * In tex/drvtv.tex (The derivative):
    - Slightly clarified the proof of l'Hopital's rule for infinite z_o.
  * In tex/trig.tex (Trigonometry):
    - Slightly refined the "Simple properties of the trigonometric
      functions" table.  Added a new table "Further properties of the
      trigonometric functions."
  * In tex/cexp.tex (The complex exponential):
    - Rewrote the introduction.
    - Somewhat clarified the subjective motivation for Euler's formula.
    - Converted generally to the symbol 'w' as complement of 'z'.
    - Added a formula for the natural logarithm of a complex number.
    - Gave the hyperbolic form of the Pythagorean theorem for
      trigonometrics.
    - Added a table summarizing properties of the complex exponential.
    - Wrote a new section on the derivatives of the various
      trigonometric and inverse trigonometric functions.
  * In tex/noth.tex (Primes, roots and averages):
    - Changed the chapter's title again, this time from "Primes and
      roots".
    - Added a subsection on rational and irrational numbers.
    - Revised the discussion of the fundamental theorem of algebra.
    - Added a new section on parallel addition and averages.
  * In tex/integ.tex (The integral), corrected the notation in the
    antiderivative definition.
  * In tex/taylor.tex (The Taylor series):
    - Added a stub for a future new section, "Taylor series for specific
      functions."
    - Integrated the concept of the nonanalytic point generally into the
      chapter's latter parts.
    - Extended the section "Cauchy's integral formula," and split it
      into subsections.
  * In tex/inttx.tex (Integration techniques):
    - Added an explicit section on integration by antiderivative.
      Generally corrected notation and explanations involving
      antiderivatives.
    - Removed a fallacious example from the "Integration by
      substitution" section.
    - Added new sections on integration by closed contour and by
      partial-fraction expansion.
  * In tex/hist.tex (appendix: Manuscript history):
    - Changed the appendix's title from "Document history".
    - Refined and improved the text generally.
    - Added a footnote on linearity.

 -- Thaddeus H. Black <derivations@b-tk.org>  Mon, 08 May 2006 00:00:00 +0000

derivations (0.3.20060502)

  * Removed a spurious non-source file from the source.
  * Added a period to a figure caption in tex/drvtv.tex (The
    derivative).

 -- Thaddeus H. Black <derivations@b-tk.org>  Tue, 02 May 2006 00:00:00 +0000

derivations (0.3.20060501)

  * In tex/Makefile, replaced the old LaTeX build commands with a call
    to the Rubber LaTeX build system.
  * Added the new 'check' target to tex/Makefile.
  * Further polished the book's preface in tex/pref.tex.  Added
    observations on the book's relationship to open source culture.
  * In tex/intro.tex (Introduction), moved distracting remarks on
    hexadecimal from the beginning to the end of the chapter.
  * In tex/alggeo.tex (Classical algebra and geometry):
    - Extended the discussion of multiplicative associativity.
    - Renamed the section "One-dimensional quadratics" to the less
      pretentious "Quadratics."
    - Added a footnote explaining the term "order", the
      adjective "quadratic", and related words.
    - Corrected and rewrote the faulty treatment of the division of
      power series.  Added a pair of tables summarizing the long
      division procedure.
  * In tex/drvtv.tex (The derivative):
    - Corrected the misnaming of G.W. Leibnitz.
    - Further clarified the difficult discussion of the Leibnitz
      notation.
    - Added application examples to the treatment of l'Hopital's rule.
  * Inserted the new chapter tex/noth.tex (Primes and roots).
  * In tex/taylor.tex (The Taylor series):
    - In the integrand of the "Cauchy's integral formula" section,
      put "n-1" in place of "n".
    - Generalized the Cauchy integration where relevant to nonintegral
      exponents.
  * Partially filled the stub tex/inttx.tex (Integration techniques)
    with an actual chapter.
  * Edited most of the chapters in other, minor ways.
  * Added to the bibliography, and corrected a few typos therein.
  * Added an index to the book.
  * Closed some dangling references, replacing "[section not yet
    written]" with the appropriate section number.
  * Noted that future routine changes of the kinds of the last three
    bullets (bibliography updates, index updates and reference closures)
    will not normally be chronicled here.

 -- Thaddeus H. Black <derivations@b-tk.org>  Mon, 01 May 2006 00:00:00 +0000

derivations (0.3.20060425)

  * Removed the 'helper' directory and its contents.  (Shifted them to
    the Debian package only, as they are not relevant to non-Debian
    users.)
  * In tex/main.tex:
    - Added the new \verdate macro.
    - Because TeX apparently does not respect local scoping of lengths,
      reserved four TeX length variables \tla, \tlb, \tlc and \tld for
      general use and reuse throughout the book.
    - Rescripted the copyright page correctly to use
      \vspace{\stretch{1}} to force the text to the bottom of the page.
  * Further polished the book's preface in tex/pref.tex.  Added to it
    a brief observation about the book's bibliography.
  * In tex/alggeo.tex (Classical algebra and geometry):
    - Added distributivity to the basic arithmetic properties table.
    - Added a section on multiplying and dividing power series.
    - Removed one footnote on rigor.
  * In tex/trig.tex (Trigonometry), added a new section on the complex
    triangle inequalities.
  * In tex/drvtv.tex (The derivative):
    - Added to the list of combinatorics properties several properties
      relating Pascal's-triangle neighbors of various sorts.
    - Added a new section on extrema and higher derivatives.
  * In tex/cexp.tex, renamed the chapter from "Complex exponentials"
    to "The complex exponential".
  * In tex/integ.tex (The integral), extended the brief stub text to a
    full new chapter.
  * Added the new chapter tex/taylor.tex (The Taylor series).
  * Opened the stub tex/inttx.tex (Integration techniques) for a future
    chapter.
  * In several chapters, changed incorrect references to "Laurent
    series" to correct references to "power series".
  * Edited most of the chapters in other, minor ways.
  * Corrected and extended some old bibliography entries; and added new
    entries.
  * In tex/def.tex, added some new hyphenations.
  * Corrected a misspelling in tex/README.
  * In tex/Makefile, freed the main document build from dependency on
    local template files.

 -- Thaddeus H. Black <derivations@b-tk.org>  Tue, 25 Apr 2006 00:00:00 +0000

derivations (0.3.20060410)

  * Repackaged the software in non-Debian native form, incrementing the
    minor version number for this reason.
  * Retained all the old changelog entries here.
  * Noted here for clarity that several of the items in
    the (0.2.20051112) changelog entry below do refer to Debian-only
    packaging matters.  Undertook to keep such Debian-only packaging
    matters from this changelog in the future.
  * As far as the book had yet gone (this is, through cexp.tex plus some
    appendices), generally refined and clarified the material already in
    the book.  Especially, clarified the book's development of complex
    numbers and the complex exponential by moving the introduction of
    de Moivre's theorem up to a new section at the end of trig.tex, thus
    logically decoupling de Moivre's theorem from Euler's formula as
    such.
  * Added sections on l'Hopital's rule and the Newton-Raphson iteration
    to drvtv.tex.
  * Began the new integ.tex, a chapter treating the integral.
  * Added \usepackage{amsmath} to main.tex.
  * Changed \usepackage{pstricks} to \usepackage{pst-plot}.
  * Noted here for future historical interest that the book is 90 pages
    long, not counting prefatory matter.  (Not much, but it's a start.)

 -- Thaddeus H. Black <derivations@b-tk.org>  Mon, 10 Apr 2006 00:00:00 +0000

derivations (0.2.20051112)

  * Adhered to Policy 3.6.2.1.
  * Updated the FSF's address in debian/copyright.
  * Corrected the book's text in minor ways.
  * Fixed tex/Makefile to use make(1)'s $(filter-out ()) function
    correctly.
  * Modified, debugged and extended the helper scripts significantly.
  * Added helper/RelSteps.
  * Uploaded the package to Debian's experimental archive for the first
    time (closes: #338520).

 -- Thaddeus H. Black <derivations@b-tk.org>  Sat, 12 Nov 2005 00:00:00 +0000

derivations (0.2.20051110)

  * Typeset part of the book in LaTeX and packaged it for Debian.
  * Noted that much of the version 0.1 hand-printed manuscript remains
    yet to be edited and typeset for this version 0.2.

 -- Thaddeus H. Black <derivations@b-tk.org>  Thu, 10 Nov 2005 00:00:00 +0000

derivations (0.1.20020419)

  * Observed that this changelog entry and the entries below for earlier
    dates were made 4 Nov 2005, not so much as an accurate record of
    changes, but rather as an extremely abbreviated approximate sketch
    of the package's long history.  (The precise dates given are chosen
    more or less randomly, but are probably correct to within two or
    three months.)
  * Added derivations including that of the method for calculating
    electrical resistance to earth ground.

 -- Thaddeus H. Black <derivations@b-tk.org>  Fri, 19 Apr 2002 00:00:00 +0000

derivations (0.1.19960131)

  * Added Fourier transforms and their properties.

 -- Thaddeus H. Black <derivations@b-tk.org>  Wed, 31 Jan 1996 00:00:00 +0000

derivations (0.1.19890714)

  * Misplaced and lost some of the original manuscript (but the ideas
    remain more or less intact in the author's thought, so the loss is
    tolerable).

 -- Thaddeus H. Black <derivations@b-tk.org>  Fri, 14 Jul 1989 00:00:00 +0000

derivations (0.1.19881206)

  * Added the Gaussian distribution and many others.

 -- Thaddeus H. Black <derivations@b-tk.org>  Tue, 06 Dec 1988 00:00:00 +0000

derivations (0.1.19831014)

  * Began the hand-printed manuscript with its first derivations,
    including the Pythagorean theorem.

 -- Thaddeus H. Black <derivations@b-tk.org>  Fri, 14 Oct 1983 00:00:00 +0000

