Description
Book SynopsisThis book provides a full and clear account of the essentials of calculus, presented in an engaging style that is both readable and mathematically precise. Concepts and central ideas are emphasized throughout. Physical examples and interpretations play a leading role, and alternative approaches to fundamental ways of thinking help the student develop the intuitive understanding so important in science and engineering. Many questions and problems, with detailed solutions, encourage active reading and independent thought. Usable either as a basic classroom text or as a supplement that will give the reader a grasp of calculus as a whole, the book is also ideally suited for self-study.
Trade Review"This book is unlike any other calculus book I have seen. It is an extremely scholarly work, by a pure mathematician with research credentials, as well as years of teaching experience, whose goal seems to be to explain the ideas behind the calculus, as well as its origins and applications, to the intelligent and curious but mathematically unsophisticated beginner, even lay persons."Roy SmithUniversity of Georgia, Athens, GA"Whether you're studying the subject in class or on your own, Calculus provides an introduction whose intellectual depth few other texts match."Library of Science"A work by a mathematician still in close touch with physics ... The author is conscious of the possible use of the book by a learner studying alone, and it is well suited for either such study or for use in a lecture course ... The author succeeds well in giving an excellent intuitive introduction while ultimately maintaining a healthy respect for rigor."Zentralblatt MATH"The text is presented in an interesting and engaging fashion that makes it easy to follow where the elements in calculus have been treated in full and clear fashion ... the book can be described as an essential source for further reading and thought development as it offers detailed solutions and explanations for many problems and questions in calculus ... this text is a must for those learners studying alone giving the wealth of examples and solutions included."School Science and Mathematics
Table of ContentsThe Problem of Calculus; Integral and Derivative; Differentiation and Integration; Differential Equations of Rectilinear Motion; The Differential Equation of Intrinsic Growth: The Exponential and Logarithmic Functions; Length and Curvature of Plane Curves and Representation of Functions by Infinite Taylor Series.
