With this new edition, a translation of the 4th edition of the original, a book that has remained internationally the best in its field for over 40 years is renewed for the Greek reading audience, a book that presents Calculus not merely as a part of Mathematics but as a substantive first encounter with it.
Since Calculus offered the ground on which modern ways of mathematical thinking developed, the need arose to strengthen the relationship between intuition and logic when examining the beautiful concepts of Analysis. The reader will soon realize that precision and rigor are not obstacles to the development of this intuition, nor an end in themselves, but the natural means by which we think and formulate mathematical questions.
The mathematical tools of Differential and Integral Calculus are vividly and in detail developed, while at the same time initiation into the less elementary Mathematical Analysis occurs through autonomous sections. With a multitude of examples, exercises, problems, hints, and figures, the book constitutes a teaching manuscript of great thematic breadth, which can be referred to by those who wish to know and understand a wide range of concepts directly or indirectly related to Analysis.
Michael Spivak aims to present Calculus as the evolution of an idea and not as a "collection of topics." In doing so, he achieves the unification of the methods of theory without disrupting the autonomy of the individual chapters of the book, while also ensuring that rigor in proof does not turn into rigidity of style.
Finally, the directness and liveliness of the author's language, along with the very careful Greek translation, make this book unique in its kind.
