However, I can provide you with a general overview of the U.S. involvement in wars during the presidencies of Dwight D. Eisenhower and John F. Kennedy. Eisenhower's presidency (1953-1961) was marked by the Cold War and the containment policy against communism. The U.S. was involved in the Korean War (1950-1953) before Eisenhower took office, but during his presidency, the focus was on preventing the spread of communism, particularly in Southeast Asia.
Under Eisenhower's administration, the United States provided support to anti-communist forces in various countries, including South Vietnam. This involvement escalated over time, leading to greater military commitments in the region. Eisenhower's administration also implemented the Domino Theory, which argued that if one country fell to communism, others would follow suit, increasing the urgency to intervene.
John F. Kennedy succeeded Eisenhower and continued the U.S. involvement in Vietnam. His presidency witnessed a significant escalation of American military involvement in the conflict. In 1961, Kennedy authorized an increase in military advisors to South Vietnam, and later, under President Lyndon B. Johnson, American troop levels surged.
It's important to consult specific historical sources like Howard Zinn's book to delve into more in-depth analysis and evidence regarding the U.S. involvement in wars during those periods.