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by Dr. J. B. Tatum
jtatum@uvic.ca



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Max Fairbairn's Planetary Photometry

Integrals and Differential Equations

2017 November 16
  • Chapter 3: Extensively rewritten.
2017 October 24
  • Chapter 3: Section 3.8: Some new text and three new figures added.
  • Chapter 3: Section 3.8: Some grammatical mistakes in first paragraph corrected.
  • Chapter 4: Sections 4.15 and 4.16: A new problem (4.14.9) and its solution are supplied.
  • Chapter 13: Section 13.12 (Some Remarks on the Star-Delta Transform) added.
2017 May 20
  • Chapter 6: Section 6.12: A correction made to one of the expressions following equation 6.12.2.
  • Chapter 6: Section 6.12: Several subsequent unhelpful paragraphs deleted.
2017 April 14
  • Chapter 5: Section 5.11: Line 3: Misspelling of “difference” corrected.
  • Chapter 5: Section 5.11: Line 11: Misspelling of “energy” corrected.
  • Chapter 5: Section 5.15: Paragraph 5: d1 in second capacitance corrected to d2.
  • Chapter 5: Section 5.21: Minus signs in equation 5.21.4 removed.
  • Chapter 8: Section 8.5: Below equation 8.5.10: Punctuation improved of sentence beginning “Its time integral...”
  • Chapter 9: Section 9.2: Line below equation 9.2.1: Added closing parenthesis after “it”.
  • Chapter 10: Section 10.7: Numbering of equations changed throughout the section.
  • Chapter 10: Section 10.15: Numbering of equations changed after equation 10.15.8.
  • Chapter 12: Line 4: “if order” changed to “of order”
  • Chapter 13: All equation labels reduced by 1.
  • Chapter 13: Equation 13.6.11: “= 0” added to RHS.
  • Chapter 13: Section 13.6: In the bridge circuit near the end of the Section, the central impedance changed from Z5 to Z6.
  • Chapter 13: Subsection 13.9.4: Changes to circuit drawings A and B.
  • Chapter 13: Section 13.10: E changed to V in line above Figure XIII.14.
  • Chapter 13: Section 13.11: Below equation 13.11.1: “alternative” changed to “alternating”.
  • Chapter 14: Consistent fonts used for Laplace transform and inductance used throughout the chapter.
  • Chapter 14: Section 14.1: Above equation 14.1.6: Reference to equation 10.4.2 changed to 14.10.2.
  • Chapter 16: Fourth paragraph: five lines from bottom: “10” corrected to “0.1”.
2017 April 5
  • Chapter 6: Section 6.11: Seven lines above Figure VI.11: “number turns” corrected to “number of turns”.
  • Chapter 7: Section 7.3: Four lines from bottom of section: “2015” corrected to “2018”.
  • Chapter 7: Section 7.9: Last line of paragraph 3: “q” changed to “Q”.
  • Chapter 8: Section 8.5: Figure “IX.4” relabelled “VIII.4”.
  • Chapter 8: Section 8.5: Line below Figure VIII.5: “them” corrected to “then”.
2017 March 1
  • Chapter 3: Section 3.1: Several paragraphs of new material added.
2017 February 21
  • Chapter 3: Section 3.7: Below equation 3.7.9: The word “to” inserted after “coordinates”.
  • Chapter 4: Section 4.3: Three lines above equation 4.2.3: Definition of current density corrected from J/l to J/A.
  • Chapter 5: Section 5.18: Two lines after figure V.24: The word “time” inserted after “some”.
2017 February 10
  • Chapter 2: Section 2.1: Paragraph 3: “point” corrected to “points”
  • Chapter 2: Section 2.2: Line below equation 2.2.16. “is” corrected to “in”
2016 December 21
  • Chapter 16: Section 16.1: Page1: Three lines from bottom: “10” changed to “0.1”.
  • Chapter 16: Section 16.1: Two lines after equation 15.1.5: “esu” inserted after “CGS”.
  • Chapter 18: Chapter heading changed from “CHAPTER 10” to “CHAPTER 18”.
2016 December 14
  • Chapter 15: Section 15.10: An unnumbered equation at the end of the section is now numbered 15.10.7
2016 September 6
  • Chapter 15: Section 15.9: Material added concerning the impedance of a vacuum.
2016 January 11
  • Chapter 3: Section 3.5: Page 5: Line 4: “component” corrected to “components”.
  • Chapter 3: Section 3.8: Page 19: Line 7 from bottom: “dipole” corrected to “dipoles”.
  • Chapter 3: Section 3.8: Page 19: Line 3: “componets” corrected to “components”.
2015 December 11
  • Chapter 3: Section 3.7: New material added on calculating the dipole potential in terms of Legendre polynomials.
2015 October 29
  • Chapter 7: Section 7.5: A few sentences added on the force on a magnetic dipole in an inhomogeneous field.
2015 February 2
  • Chapter 13: Section 13.11 (Root-Mean-Square Values, Power and Impedance Matching) added.
2015 January 26
  • Chapter 4: Section 4.14: Additional circuit problem, problem 4.14.8, added to the collection.
  • Chapter 5: Section 5.19: Much new material, including energy considerations, instantaneous change in current, integrating and differentiating circuits.
  • Chapter 10: Section 10.15 (Charging C through R and L) added. Old Sections 10.15 and 10.16 renumbered as 10.16 and 10.17.
  • Chapter 13: Section 13.9: New subsection 13.9.4. Delta-star transformation in alternating currents. Impedance of an unbalanced bridge.
2015 January 6
  • Chapter 13: Sections 13.2 and 13.3: Changed the definition of capacitive reactance so that it is a signed (negative) quantity.
  • Chapter 13: Section 13.6: A further worked example on impedance and admittance at the end of the section.
2014 December 23
  • Chapter 5: Section 5.19: A new worked example on charging a capacitor at the end of the section.
  • Chapter 10: Section 10.12: A new worked example on the growth of current in an inductor at the end of the section.
  • Chapter 13: Section 13.6: A new worked example on impedance and admittance at the end of the section.
2014 December 17
  • Chapter 6: Section 6.2: The proposed change in the definition of the coulomb, originally scheduled for 2015, has been deferred to 2018. I have changed the year in the penultimate paragraph of Section 6.2.
  • Chapter 6: Section 6.12: Four important summary sentences added to the end of the section.
2014 May 18
  • Chapter 3: Section 3.7: Typo "follwing" fixed above equation 3.7.6.
2014 May 4
  • Chapter 3: Section 3.7: New equation 3.7.10c added, plus an additional sentence following the equation.
2013 January 10
  • Chapters 1, 6, and 7: Sections 1.5, 6.2, and 7.3: Comments have been added concerning the proposed new definition of the ampère likely to come into effect in 2015.
2012 November 27
  • Chapter 3: Some minor spelling mistakes corrected.
2012 November 25
  • Chapter 2: Section 2.2.6: Greatly expanded with computational notes.
2012 November 9
  • Chapter 3: Section 3.10 (A Geophysical Example) added.
2012 October 27
  • Chapter 3: Section 3.7: Additional material given on the lines of force near to a large dipole.
  • Chapter 3: Sections 3.8 and 3.9: Figures III.12-14 relabelled III.13-15.
2012 October 22
  • Chapter 3: Section 3.7: Short paragraph added to end of this section.
  • Chapter 3: Section 3.8: Paragraph 2, line 1: "possess" changed to "possesses".
  • Chapter 3: Section 3.8: Clarification to the exercise and a hint for its solution.
2012 October 2
  • Chapter 3: Section 3.7: An alternative and in many respects superior method for calculating the potential near to the dipole has been added, and some changes have been made to the algebraic notation for the coordinates.
2012 September 28
  • Chapter 3: Section 3.7: Some additions to figure III.3.
  • Chapter 3: Section 3.7: V now expressed in units of Q / (4πε0L) not 2Q / (4πε0L)) for both the "far" case and the"near".
  • Chapter 3: Section 3.7: Reversal of subscripts in the definitions of R1 and R2.
  • Chapter 3: Section 3.7: Changes to labels of the isopotentials in figure III.10.
2012 May 19
  • Chapter 1: Sections 1.10 and 1.11 deleted. The material is covered in Chapter 2, Sections 2.4 and 2.5.
2011 August 4
  • Chapter 1: Section 1.6.3: Correction on the second line of the page 10. Thank you to Juan Irias.
2011 April 29
  • Extensively revised.
2010 December 14
  • Chapter 6: Section 6.2: Addition of paragraph concerning proposed redefinition of the amp.
2010 December 8
  • Chapter 4: Section 4.16 (Attenuators) added.
  • Chapter 6: Section 6.6: Expanded to include field in the plane of a ring.
2010 November 5
  • Chapter 1: Section 1.6: Expanded to include field in the plane of a ring.
  • Chapter 2: Section 2.2: Expanded to include potential in the plane of a ring.
2010 October 27
  • Chapter 5: Section 5.15: Under figure V.23, "spearation" corrected to "separation".



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