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.

Calculus On Manifolds

Science & Math

Spivak, Michael

Mathematics

CRC-Press

Calculus

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 mathematics: 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.

Cambridge University Press

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.

Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

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.

Joy of Tex: A Gourmet Guide to Typesetting With the Ams-Tex Macro Package

Computers & Technology

Graphics & Design

Amer Mathematical Society

The joy of TEX: A gourmet guide to typesetting with the AMS-TEX macro package

American Mathematical Society

This is actually Volume I of the five-volume series. Typerset on a typewriter, but the writing is great. Great introduction to manifolds, metrics, Lie groups, and some algebraic topology. A classic.

A Comprehensive Introduction to Differential Geometry Volume Two

Publish or Perish

A Comprehensive Introduction to Differential Geometry, Vol. 3

Publish or Perish, Inc.

A Calculus Course Companion 
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.

Hitchhikers Guide to Calculus: A Calculus Course Companion

Polished Pebble Pr

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 mathematics: 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.

See the best price to sell, buy, or rent books by Spivak, Michael. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Spivak, Michael

See the best price to sell, buy, or rent books by Spivak, Michael. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Calculus On Manifolds

Calculus

Calculus

Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus

Joy of Tex: A Gourmet Guide to Typesetting With the Ams-Tex Macro Package

The joy of TEX: A gourmet guide to typesetting with the AMS-TEX macro package

A Comprehensive Introduction to Differential Geometry Volume Two

A Comprehensive Introduction to Differential Geometry, Vol. 3

Hitchhikers Guide to Calculus: A Calculus Course Companion

Calculus