1905 World Series

John McGraw. Connie Mack

"The 1905 World Series matched the New York Giants against the Philadelphia Athletics, with the Giants winning four games to one. Four of the five games featured duels between future Hall of Fame pitchers. Each of the five games was a shutout. Three of those, over a six-day span, were pitched and won by Christy Mathewson, a 25-year-old Giants hurler who established himself as a first-magnitude star in doing so."
Wikipedia

"The 1903 World Series had been a resounding success, both on the field and at the gate, but the Giants' principals, owner John Brush and manager John McGraw had played the role of sourpusses, denigrating the whole event as below the dignity of their long-established franchise, and even threatening to sue to prevent the series from taking place.

New York Giants 1905 World Series program

When the 1904 season was winding down, the Giants were in first place, but were faced with the prospect of facing their newly-established crosstown rivals, the New York Highlanders, who were to become the famed New York Yankees a few years later and were leading the American League as the season was drawing to a close. This was a prospect too horrible to contemplate for the two proud men, and they indicated in no uncertain words that they were not ready to soil their status of NL Pennant winners by facing a team that was not of their level. The first World Series had come as a result of a direct arrangement between the owners of the Pittsburgh and Boston clubs and not through an agreement between the leagues, so Brush's unwillingness to participate in a sequel doomed the whole enterprise. As it turned out, the Boston Americans ended up squeezing past the Highlanders to win the AL Pennant in the season's final days, but by then it was too late to arrange a Series, even if Brush and McGraw had been willing to climb down."
Baseball Reference

Christy Mathewson

A’s-Giants a Rematch of 1905 World Series
"This is not the first time these two teams have met in the Series. In 1905, they went head to head, and the Series helped establish Christy Mathewson as a star. Mathewson won three games in the Series, as the Giants walloped the Athletics, 4 games to 1. Incredibly, all 5 games ended in shutouts. Mathewson pitched 27 innings, didn’t give up a single run, and in fact only allowed one runner to reach third base the entire Series. It has been to this point the most dominant performance by a pitcher in World Series history. Of course, he wasn’t the only Giants pitcher with success in that Series. Joe McGinnity (who retired in ’08) pitched 17 innings without giving up an earned run either! The 3 runs the A’s scored in Game 2 were all unearned, and they were the only runs they would score all Series. It was a dominant performance by the NL champs."
Philly Sports History

YouTube:  Game 1: Atheltics vs Giant, Game 2, Game 3, Game 4, Game 5

Polo Grounds

The Library of Congress
When the Giants Took the Quakers into Camp, The Evening World (New York, NY), October 10, 1905, Evening Edition, Page 2, Image 2, Cols. 2-7
New York Wins First of Series, Los Angeles Herald (Los Angeles, CA), October 10, 1905, Page 3, Image 3, Cols. 1-2.
Giants' Turn to be Shut Out, The Evening World (New York, NY), October 10, 1905, Evening Edition, Image 1, Cols. 1-8.
Giants Win Third, The Evening World (New York, NY), October 13, 1905, Evening Edition, Image 1, Cols. 1-8.
New York the Greatest of All Ball Teams, The San Francisco Call (San Francisco, CA), October 15, 1905, Page 37, Image 37, Cols. 5-6.
Giants Champions of the World, The Evening World (New York, NY), October 14, 1905, Evening Edition, Image 1, Cols. 1-8.