Right I was writing this on my phone, cobbling it together from a bibliography for late medieval kingship and nobility, last night so I've rewritten and reposted it.

Before continuing it should be said that any comprehensive study of warfare and 'life' in early fifteenth-century France requires an examination of England and Burgundy as well. France was in the process of a civil war between two powerful factions (the Burgundians and the Armagnacs) which had led to two high-profile political assassinations (Louis II, duke of Orleans, in 1407 and John the Fearless, duke of Burgundy, in 1419), the French king, Charles VI was mentally frail and prone to bouts of madness which had allowed first Louis then John to impose themselves as powerful regents.

In 1415 Henry V had launched his famous chevauchée which would culminate in the Battle of Agincourt and the capture of numerous members of the French high nobility (including Charles, duke of Orleans) and the death of many others (including John I, duke of Alençon). Henry's campaigns greatly weakened the French control over Normandy but the impasse was not likely to be broken until, in 1419, the future Charles VII, currently known as the Dauphin Charles, was implicated in the murder of John the Fearless. John's son, Philip the Good, concluded an alliance with Henry V which would culminate in the Treaty of Troyes (1420) where Henry V married the daughter of Charles VI and it was agreed that Henry would become Charles's heir and the Dauphin Charles was disinherited (nominally for his involvement in the death of John the Fearless). For the first time the crowns of England and France would be ruled by one man: Henry V. However, on 31 August 1422 Henry V died and three weeks later Charles VI followed him to the grave. Suddenly the situation was complicated. Henry VI of England was only nine months old and the Dauphin Charles had gathered his supporters and established a base in the south. Following a crushing defeat at Verneuil (1424) Charles was driven back and Orleans was besieged by the English commanders.

In 1429, the French fortunes turned. Joan of Arc appeared at Chinon, was investigated at Poitiers, and dispatched with the French army under Raoul de Gaucourt to relieve the siege of Orleans. Here Joan's mission was apparently vindicated by God and suddenly there were a spate of French victories (Orleans, Jargeau, Beaugency, and Patay). On the political front Charles was crowned king of France at Reims on 17 July 1429, a ceremony in which Joan of Arc was instrumental, and secured the support of Arthur de Richemont who became the Constable of the French army. The English incursions against the duchy of Brittany had persuaded the duke of Burgundy, Philip the Good, to begin making reconcilatory motions towards Charles VII.

Joan was captured in 1430 and tried and executed as a heretic and schismatic in 1431. In 1435 at the Congress of Arras, Charles VII and Philip the Good and the entire balance of the war changed. The conciliatory nature of Henry VI of England did not assist matters, and Charles's innovative military reforms (the compagnies d’ordonnance) gave him a martial edge over the English. A combined strategy of siege warfare and bribery led to the rapid fall of English strongholds in Gascony and Normandy and after Battle of Castillon (1453) the French were the victors of the Hundred Years War. Now the matter of internal cohesion arose. In 1440, the dukes of Bourbon and Alençon, joined by members of the lower nobility and mercenary companies, had rebelled against Charles (a rebellion known as the Praguerie) and endangered the successes won after 1429. The Praguerie had been brutally put down by Arthur de Richemont, but the tensions were simmering throughout the French nobility. With Gascony and, even worse, Normandy now back under Charles's control. Many of Charles's key supporters had fled Normandy with the English triumph and abandoned immense wealth in lands and goods, while those who had remained were perceived as collaborateurs. Matters were exacerbated by the need to deal with Joan of Arc's condemnation and execution as a heretic and schismatic. Joan had been instrumental in Charles's crowning and put the legitimacy of his reign in question, yet Joan had been tried by the Masters of the University of Paris and burned in Rouen, the heart of English power in Normandy. Moreover, Joan was loathed by the Burgundians, the French had actually written her out of their narratives during the negotiations leading to the Treaty of Arras (1435). To reopen the trial of Joan would stir up tensions at a key point in Charles's reign, thus the trial was one of Nullification and not Rehabilitation (the trial record itself and the dead were condemned). However, we have now reached the end of my knowledge and interest in French politics and history and should anyone wish to add more then feel free.

There are some fascinating case studies but if your knowledge of medieval France is only cursory then I would highly recommend heading first and foremost to the New Cambridge Medieval History series. I'm not sure what you mean by 'life', if you're interested in warfare I assume high politics but you'll need to tell me if you're interested in anything else.

General Surveys:

New Cambridge Medieval History, 7 Vol., Cambridge, 1995-2005, vols iv-vii.

Cowell, A., The Medieval Warrior Aristocracy: Gifts, Violence, Performance, and the Sacred, Cambridge, 2007.

Duby, G., The Chivalrous Society, Berkley, 1977. | France in the Middle Ages 987–1460: From Hugh Capet to Joan of Arc, trans. J. Vale, Oxford, 1991.

(ed.) Duggan, A.J., Nobles and Nobility in Medieval Europe: Concepts, Origins, Transformations, Woodbridge, 2001.

Kaeuper, R., Chivalry and Violence in Medieval Europe, Oxford, 1999. | Holy Warriors: The Religious Ideology of Chivalry, Philadelphia, 2009.

Keen, M.H., Chivalry, London, 1984.

Pre-Fourteenth-Century Context and Historiography

Bouchard, C.B., "Strong of Body, Brave and Noble": Chivalry and Society in Medieval France, New York, 1998. | Those of my Blood: Constructing Noble Families in Medieval Francia, Philadelphia, 2001.

Caron, M.-T., Noblesse et pouvoir royal en France (XIIIe–XVIe siècle), Paris, 1994.

Crouch, D., The Birth of Nobility: Constructing Aristocracy in England and France, 900-1300, Harlow, 2005.

Flori, J., L’Idéologie de glaive, Genève, 1983. | L’Essor de la chevalerie, Genève, 1986.

Fourteenth- and Fifteenth-Century:

Allmand, C.T., War, literature and politics in the late middle ages, Liverpool, 1976. | (ed.) War, Government and Power in Late Medieval France, Liverpool, 2000.

(eds) Bates, D. and Curry, A., England and Normandy in the Middle Ages, London, 1994.

Blockmans W. and Prevenier, W., The Promised Lands. The Low Countries under Burgundian rule, 1369–1530, Philadelphia, 1999.

Boulton, d'A., The Knights of the Crown, Woodbridge, 1987. | 'The Order of the Golden Fleece and the Creation of Burgundian National Identity', in The Ideology of Burgundy.

Brown, A., The Valois dukes of Burgundy, Oxford, 2001.

Curry, A. The Hundred Years War, London, 1993. | (eds) with Hughes, M., Arms, Armies and Fortifications in the Hundred Years War, Oxford, 1994. | 'Two Kingdoms One King: The Treaty of Troyes (1420) and the Creation of a Double Monarchy of England and France', in 'The Contending Kingdoms': France and England 1420-1700, ed. G. Richardson, London, 2008, pp.23-41.

Devries, K., Joan of Arc: A Military Leader, Stroud, 1999.

Griffiths, R.A., The Reign of Henry VI: The Exercise of Royal Authority, 1422-1461, London, 1981.

Huizinga, J., The Autumn of the Middle Ages, Chicago, 1996.

 This is another 'old' text written in the 1920s.
 It should be read with the 'New Huizinga' article, below.

Keen, M.H., 'The End of the Hundred Years War: Lancastrian France and Lancastrian England', in England and Her Neighbours 1066-1453, eds M. Jones and M.G.A. Vale, London, 2003, pp.297-311.

Margolis, N., An Introduction to Christine de Pizan, Florida, 2011.

Paviot, J. 'Burgundy and the Crusade', in Crusading in the Fifteenth-Century: Message and Impact, ed. N. Housley, Basingstoke, 2004, pp.70-80.

Peters, E. and Simons, W.P., ‘The new Huizinga and the old Middle Ages’, Speculum 74 (1999), pp.587–620.

Solon, P.D., 'Popular Response to Standing Military Forces in Fifteenth-Century France', Studies in the Renaissance, Vol. 19 (1972), pp.78-111.

Taylor, C.D., Chivalry and the Ideals of Knighthood in France during the Hundred Years War, Cambridge, 2013. Preface available here and introduction available here.

Vale, M.G.A., Charles VII, London, 1974. | War and Chivalry: Warfare and Aristocratic Culture in England, France and Burgundy at the End of the Middle Ages, London, 1981.

Vaughn, R., Charles the Bold, 2^nd ed., intro. W. Paravicini, Woodbridge, 2002. | Philip the Good, 2^nd ed., intro. G. Small, Woodbridge, 2002. | John the Fearless, 2 Vol., Woodbridge, 2005.

(eds) Villalon, L.J.A. and Kagay, D.J., The Hundred Years War: A Wider Focus, Leiden, 2004. | The Hundred Years War (Part II). Different Vistas, Leiden, 2008.

Walsh, R.J., 'Charles the Bold and the crusade: politics and propaganda', Journal of Medieval History 3 (1977), pp.53-87. | Charles the Bold and Italy 1467–1477: politics and personnel, Liverpool, 2005.

Wood, C.T., Joan of Arc and Richard III: Sex, Saints and Government in the Middle Ages, Oxford, 1988.

Primary Sources (in translation)

Brown, A. and Small, G., Court and Civic Society in the Burgundian Low Countries c.1420-1530, Manchester, 2008.

Taylor, C.D., Joan of Arc: La Pucelle, Manchester, 2006. Introduction available here

You would probably enjoy A Distant Mirror by Barbara Tuchmann. It's a little before the period you asked for, but an excellent read.

Bernard Cornwell's novel Agincourt is a fictionalized story of war in the 15th Century, but is pretty accurate, historically speaking. Cornwell does a lot of research for his books.