Battle of Ulm

The Battle of Ulm on 16–19 October 1805 was a series of skirmishes, at the end of the Ulm Campaign, which allowed Napoleon I to trap an entire Austrian army under the command of Karl Freiherr Mack von Leiberich with minimal losses and to force its surrender near Ulm in the Electorate of Bavaria.
Background.
In 1805, the United Kingdom, the Austrian Empire, Sweden, and the Russian Empire formed the Third Coalition to overthrow the French Empire. When Bavaria sided with Napoleon, the Austrians, 72,000 strong under Mack, prematurely invaded while the Russians were still marching through Poland. The Austrians expected the main battles of the war to take place in northern Italy, not Germany, and intended only to protect the Alps from French forces.
A popular but apocryphal legend has it that the Austrians used the Gregorian calendar, the Russians were still using the Julian calendar. This meant that their dates did not correspond, and the Austrians were brought into conflict with the French before the Russians could come into line. This simple but implausible explanation for the Russian army being far behind the Austrian is dismissed by scholar Frederick Kagan as "a bizarre myth".
Napoleon had 177,000 troops of the Grande Armée at Boulogne, ready to invade England. They marched south on 27 August and by 24 September were ready to cross the Rhine from Mannheim to Strasbourg. After crossing the Rhine, the greater part of the French army made a gigantic right wheel so that its corps reached the Danube simultaneously, facing south. On 7 October, Mack learned that Napoleon planned to cross the Danube and march around his right flank so as to cut him off from the Russians who were marching via Vienna. He accordingly changed front, placing his left at Ulm and his right at Rain, but the French went on and crossed the Danube at Neuburg, Donauwörth, and Ingolstadt. Unable to stop the French avalanche, Michael von Kienmayer's Austrian corps abandoned its positions along the river and fled to Munich.
On 8 October, Franz Auffenberg's division was cut to pieces by Joachim Murat's Cavalry Corps and Jean Lannes' V Corps at the Battle of Wertingen. The following day, Mack attempted to cross the Danube and move north. He was defeated in the Battle of Günzburg by Jean-Pierre Firmin Malher's division of Michel Ney's VI Corps which was still operating on the north bank. During the action, the French seized a bridgehead on the south bank. After first withdrawing to Ulm, Mack tried to break out to the north. His army was blocked by Pierre Dupont de l'Etang's VI Corps division and some cavalry in the Battle of Haslach-Jungingen on 11 October.
By the 11th, Napoleon's corps were spread out in a wide net to snare Mack's army. Nicolas Soult's IV Corps reached Landsberg am Lech and turned east to cut off Mack from Tyrol. Jean-Baptiste Bernadotte's I Corps and Louis Nicolas Davout's III Corps converged on Munich. Auguste Marmont's II Corps was at Augsburg. Murat, Ney, Lannes, and the Imperial Guard began closing in on Ulm. Mack ordered the corps of Franz von Werneck to march northeast, while Johann Sigismund Riesch covered its right flank at Elchingen. The Austrian commander sent Franz Jellacic's corps south toward Tyrol and held the remainder of his army at Ulm.
Battle.
On 14 October, Ney crushed Riesch's small corps at the Battle of Elchingen and chased its survivors back into Ulm. Murat detected Werneck's force and raced in pursuit with his cavalry. Over the next few days, Werneck's corps was overwhelmed in a series of actions at Langenau, Herbrechtingen, Nördlingen, and Neresheim. On 18 October, he surrendered the remainder of his troops. Only Archduke Ferdinand Karl Joseph of Austria-Este and a few other generals escaped to Bohemia with about 1,200 cavalry. Meanwhile, Soult secured the surrender of 4,600 Austrians at Memmingen and swung north to box in Mack from the south. Jellacic slipped past Soult and escaped to the south only to be hunted down and captured in the Capitulation of Dornbirn in mid-November by Pierre Augereau's late-arriving VII Corps. By 16 October, Napoleon had surrounded Mack's entire army at Ulm, and three days later Mack surrendered with 25,000 men, 18 generals, 65 guns, and 40 standards.
Some 20,000 escaped, 10,000 were killed or wounded, and the rest made prisoner. About 500 French were killed and 1,000 wounded, a low number for such a decisive battle. In less than 15 days the Grande Armée neutralized 60,000 Austrians and 30 generals. At the surrender (known as the "Convention of Ulm"), Mack offered his sword and presented himself to Napoleon as "the unfortunate General Mack". Mack was court-martialed and sentenced to two years' imprisonment.
Aftermath.
The Ulm Campaign is considered an example of a strategic victory, though Napoleon indeed had an overwhelming superior force. The campaign was won with no major battle. The Austrians fell into the same trap Napoleon had set at the Battle of Marengo, but unlike Marengo, the trap worked with success. Everything was made to confuse the enemy.
In his proclamation in the "Bulletin de la Grande Armée" of 21 October 1805 Napoleon said, "Soldiers of the Grande Armée, I announced you a great battle. But thanks to the bad combinations of the enemy, I obtained the same success with no risk ... In 15 days we have won a campaign."
By defeating the Austrian army, Napoleon secured his conquest of Vienna, which was to be taken one month later.
Like the Battle of Austerlitz, the Ulm Campaign is still taught in military schools worldwide.