Michael Spivak

This little book is especially concerned with those portions of ”advanced calculus” in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

Spivak's 5 volume set is a classic and overall the best and most thorough treatment of differential geometry

The Hitchhiker's Guide to Calculus begins with a rapid view of lines and slope. Spivak then takes up non-linear functions and trigonometric functions. He places the magnifying glass on curves in the next chapter and effortlessly leads the reader to the idea of derivative. In the next chapterhe tackles speed and velocity, followed by the derivative of sine. Maxima and minima are next. Rolle's theorem and the MVT form the core of Chapter 11, """"Watching Experts at Play."""" The Hitchhiker's Guide to Calculus closes with a chapter on the integral, the fundamental theorem, and applications of the integral.

Michael Spivak, Spivak, Michael

great resource for those needed help in calculus

Spivak's 5 volume set is a classic and overall the best and most thorough treatment of differential geometry

Spivak's 5 volume set is a classic and overall the best and most thorough treatment of differential geometry

Spivak's 5 volume set is a classic and overall the best and most thorough treatment of differential geometry

From the The purpose of this book, or possibly series of books, is indicated precisely by the title Physics for Mathematicians. It is only necessary for me to explain what I mean by a mathematician, and what I mean byphysics.By a mathematician I mean some one who has been trained in modern mathematics and been inculcated with its general outlook. ...And by physics I mean -- well, physics, what physicists mean by physics, i.e., the actual study of physical objects ... (rather than the study of symplectic structures on cotangent bundles, for example). In addition to presenting the advanced physics, which mathematicians find so easy, I also want to explore the workings of elementary physics ... which I have always found so hard to fathom.As these remarks probably reveal, basically I have written this work in order to learn the subject myself, in a form that I find comprehensible. And readers familiar with some of my previous books probably realize that this has pretty much been the reason for those works also. ...Perhaps this travelogue of an innocent abroad in a very different field will also turn out to be a book that mathematicians will like.

The Joy of TeX is the user-friendly guide to AMSTeX, a software package based on the computer typesetting language TeX. AMSTeX was designed to simplify typesetting of mathematical quantities, equations, and displays, and to format the output according to any of various preset style specifications. This second edition of Joy reflects the changes introduced on Version 2.0 of the AMSTeX macro package. The first two parts of the manual, "Starters" and "Main Courses", teach the reader how to typeset the kind of text and mathematics one ordinarily encounters. "Sauces and Pickles", the third section, treats more exotic problems and includes a 60-page dictionary of special TeXniques. The manual also includes descriptions of conventions of mathematical typography to help the novice technical typist. Appendices list handy summaries of frequently used and more esoteric symbols. This manual is useful for technical typists as well as scientists who prepare their own manuscripts. For the novice, exercises sprinkled generously throughout each chapter encourage the reader to sit down at a terminal and learn through experimentation.

volume set second edition

L'objectiu del Projecte Scriptorium és la traducció i publicació en català de llibres bàsics de text universitari de les carreres científiques o tècniques. No podrà parlar-se de normalitat lingüística fins que els llibres d'estudi i de consulta en català no abastin també l'àmbit universitari.És cert que els articles de recerca i la bibliografia avançada són publicats en una gran majoria en anglès, i que cal esperonar els estudiants perquè estudiïn i dominin aquella llengua. Tanmateix, la ciència i la tècnica ultrapassen l'àmbit de la recerca especialitzada i han anat impregnant la societat.Això fa que tota llengua hagi de comptar amb un llenguatge adient per a la descripció, la discussió i la incorporació de les novetats del coneixement científic i tècnic. El llenguatge científic no pot limitar-se al nivell d'ensenyament mitjà o de la divulgació. Ha d'arribar també al nivell universitari, en el qual es produeix la recerca que origina les innovacions.

This is simply a spiral-bound edition of the Combined Answer Book for Calculus Third and Fourth Editions. The standard clothbound edition will be out of stock for several months, so this less expensive version is being provided for those who need the Answer Book now.

This is a temporary edition, at a lower price, until the standard hardbound edition is back in stock, probably in October.

The 11th century. The Castile and Leon kings Sancho Strong and Alfonso Brave do not agree with the will of their late father Fernando I, divided his possessions among his sons. Each of the brothers seeks to overthrow the another. In these events are involved two visitors from the 21st century, who arrived through the corridors of time and introduced themselves as Vizier of Jerusalem and Don Miguel of Castile. People by mistake take them as sorcerers that threaten many troubles.

This edition differs from the third mainly in the inclusion of additional problems, as well as a complete update of the Suggested Reading, together with some changes of exposition, mainly in Chapters 5 and 20.