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**June 27th 2018 edition (version 2.3):**

- Fix Exercise 1.2.11, and add part c).
- Fix Exercise 1.4.1, and add part c).
- As people have different opinions about what "strongly (pseudo)convex" means for unbounded domains, only define the term for bounded.
- Improve exposition very slightly throughout.
- Fix errata.

**November 29th 2017 edition (version 2.2):**

- Reword the hypotheses of proposition 6.2.5, 6.2.6 and theorem 6.2.7
**Move exercise 4.3.4 to section 4.2 so renumbered to 4.2.4**. It makes a lot more sense right after 4.2.3. (Thanks to John Treuer for the suggestion)- Improvements and fixes in language and style in a number of places.
- Fix errata.

**March 21st 2017 edition (version 2.1):**

- Add exercise 6.4.21
- Fix wording of exercise 6.4.16, $\ell_j$ are not needed
- Fix definition of meromorphic functions to be the standard one, noting the deep result of Oka that shows what localy a quotient means globally a quotient on domains in ${\mathbb C}^n$.
- Very minor improvements in style and exposition in a few places
- License changed to dual CC-BY-SA and CC-BY-NC-SA
- Fix errata.
- Fix few minor typos

**May 5th 2016 edition (version 2.0):**

- Add chapters 5 (integral kernels) and 6 (varieties).
- Split the harmonic (plurisubharmonic) section (2.4) from Hartogs pseudoconvexity (new 2.5). That of course moves 2.5 to 2.6.
- Add Rado's theorem to the section on harmonic functions section 2.5.
- Add a few corollaries to Hartogs phenomenon.
- Make implicit function theorem a theorem rather than just an exercise.
- Add exercises throughout, and reorder some exercises to fix dependencies between them.
- Do some minor reordering in the early chapters.
- Add more detail about orientation in ${\mathbb C}^n$.
- Add diagram for proof of the Riemann extension theorem.
- Add diagram for proof of the tomato can principle.
- Add diagram for proof of the local nature of Hartogs pseudoconvexity (Lemma 2.5.7)
- Add diagram for proof of Lewy extension theorem.
- Add more historical context in several places.
- Lots of small minor improvements in style and exposition, some minor reordering and reworking of proofs and a few extra clarification in many places.
- Add more terms to the index.
- Fix errata.

**November 24th 2015 edition:**

- Add exercises 1.6.5, 1.6.6, 1.6.7 about Jacobian conjecture.
- Fix errata and several typos.

**August 21st 2015 edition:**

- Improvements in exposition, a few better pagebreaks.
- Replace "vanishes to order k" with "is O(k)" as the former seems to be not uniformly agreed upon if it is O(k) or O(k+1), wheras the latter is unambiguous.
- Add definition of "automorphism" and "automorphism group"
- Fix errata and several typos.

**November 19th 2014 edition:**

Improvements in exposition in a bunch of places and also fix errata.

**September 2nd 2014 edition:**

- Minor improvements in exposition.
- Add exercises 1.2.9 and 2.4.25 (which moves 2.4.25 to number 2.4.26).

**May 1st 2014 edition:**

First version