Now available in a low-priced paperback edition! Written by one of the foremost mathematicians of the 20th century, this text remains the only modern treatment to successfully integrate principles of analysis into first-year calculus. Further, Courant's treatment introduces the differential and integral calculus simultaneously, emphasizing the central point of the calculus, namely, the connection between definite integral, indefinite integral, and derivative. Exposition exhibits the close connection between analysis and its applications, making this text appropriate for students of mathematics, or of science and engineering. Courant makes the subject easier to grasp by giving proofs step-by-step, and by developing the intuition that gave rise to the calculus and guides its use today.
Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician. He is best known by the general public for the book What is Mathematics?, co-written with Herbert Robbins.