Calculus. Vol. I: One variable calculus, with an introduction to linear algebra. 2nd ed.

*(English)*Zbl 0148.28201
A Blaisdell Book in the Pure and Applied Sciences. Waltham etc.: Blaisdell Publishing Company. xx, 666 p. (1967).

The volume under review is Volume I of the second edition [first ed., 4th print. (1964; Zbl 0123.25902)]. The book begins with a historical introduction, set theory, a rigorous introduction to the real number system, integration and applications, continuous functions, differential calculus, transcendental functions, differential equations, infinite processes, calculus of vector-valued functions, linear algebra and linear spaces. In preparing the second edition the author added the material on linear algebra, and many new as well as more elementary exercises. The total number of chapters was increased, but many were shortened.

As was true for the first edition, this book is an excellent introduction to calculus on a rather rigorous level. The material is suitable for honors students and mathematically gifted students. The many historical remarks and facts help to round out a solid introduction.

As was true for the first edition, this book is an excellent introduction to calculus on a rather rigorous level. The material is suitable for honors students and mathematically gifted students. The many historical remarks and facts help to round out a solid introduction.

Reviewer: Harry Hochstadt (New York)