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.

    Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

    In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition. Solution guide available upon request.

    A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.

    This new edition includes 200 new words and 850 new citations with 300 new pages.

    And that means Mars G. Fontana's Corrosion Engineering gives quick access to the design data you need on all corrosives,with isocorrosion charts for accurate look-ups and coverage that includes 8 forms of wet and dry corrosion. . . environments from pulp and paper to nuclear waste isolation to seawater. . . testing techniques,including tests for plastics and elastomers. . and cost and product liability reduction via quality control and assurance.

    His careful presentation of the underlying theories of fluids is still timely and applicable, even in these days of almost limitless computer power. This reissue ensures that a new generation of graduate students experiences the elegance of Professor Batchelor's writing.

    It combines standard materials and necessary algebraic manipulations with general concepts that clarify meaning and importance. This conceptual approach to algebra starts with a description of algebraic structures by means of axioms chosen to suit the examples, for instance, axioms for groups, rings, fields, lattices, and vector spaces.

    The book's goal is to make readers come to understand geochemistry as an exciting area of research, and to provide a feeling for the usefulness of geochemistry as a background for many kinds of earth science inquiry. Throughout the book, attention is continually directed to the relations between theoretical formulas and results of controlled laboratory experiments, as well as to geologic field observations. The book begins with an introduction to chemical equilibrium, concentrating on the carbonate and silicate equilibria that are important in geologic environments. Next comes a brief look at the chemistry of crystalline solids and reactions at mineral surfaces. The manifold uses of isotopes in geochemistry are given extended treatment, and the recent important studies of reaction rates and mass transfer are covered. Readers will then find detailed discussions of the geochemistry of materials at and near the earth's surface.

    We are ... very fortunate that an account of this caliber has finally made it to printed pages... Anyone who has taken this guided tour will never be intimidated by n ever again... High school students (or teachers) reading through these two books would learn an enormous amount of good mathematics. More importantly, they would also get a glimpse of how mathematics is done." -- H. Wu, The Mathematical IntelligencerThe need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this development, are available in the following books to any student who is willing to read, to be stimulated, and to learn.The Method of Coordinates is a way of transferring geometric images into formulas, a method for describing pictures by numbers and letters denoting constants and variables. It is fundamental to the study of calculus and other mathematical topics. Teachers of mathematics will find here a fresh understanding of the subject and a valuable path to the training of students in mathematical concepts and skills.

    Appropriate for third- and fourth-semester college classes, the main textbook of the Third Edition contains sixteen chapters, each covering a specific grammar topic. Most of these chapters are sub-divided into levels, beginning with the most basic principles, then proceeding to more advanced material. Each level concludes with a series of exercises, usually moving from strictly controlled exercises on a single aspect of the topic, to combination exercises (Mixed Exercises), and finally to English-to-German translation activities (Express in German). A new Student Manual, closely tied to the main text, provides a greater variety of activities that allow students to use the targeted structures in meaningful situations and contexts. The Student Manual is intended for in-class use, although students can also do the activities at home.

    Anselm, showing how Greek philosophy took the form in which it was known to its cultural inheritors and how they interpreted it.pt. 1. Greek philosophy from Plato to Plotinus / by P. Merlan --pt. 2. Philo and the beginnings of Christian thought / by the Rev. H. Chadwick --pt. 3. Plotinus / by A.H. Armstrong --pt. 4. The later neoplatonists / by A.C. Lloyd --pt. 5. Marius Victorinus and Augustine / by R.A. Markus --pt. 6. The Greek Christian Platonist tradition from the Cappadocians to Maximus and Eriugena / by I.P. Sheldon-Williams --pt. 7. Western Christian thought from Boethius to Anselm / by H. Liebeschütz --pt. 8. Early Islamic philosophy / by R. Walzer.

    By century's end, its influence in higher education stretched from coast to coast- from Cornell to Stanford- and touched professional, graduate, and undergraduate education. At the end of the twentieth century, the University of Michigan continues to rank among the nation's leading universities, setting the standard for higher education in the twenty-first century.Howard Peckham's history of the University of Michigan was published in 1967 to help celebrate the University's 150th anniversary. This new edition by Margaret and Nicholas Steneck continues Peckham's broad coverage of the University of Michigan through its 175th anniversary, covering the administrations of Robben Fleming, Harold Shapiro, and the beginning of the presidency of James Duderstadt.The Stenecks have also reformatted and edited the earlier Peckham chapters to turn The Making of the University of Michigan into an accessible and engaging book to read or to browse, covering all aspects of campus life, from sports and students to the coming and going of faculty, administrators, and regents, with over seventy-five photos carefully integrated into the text.Margaret and Nicholas Steneck are historians at the University of Michigan who currently teach a large and popular undergraduate lecture course on the history of the University of Michigan.

    Discovering the New World (Columbus, Vespucci, Magellan) - American Indians - The American Revolution - Birth of American Democracy - Thirteen colonies - ; George Washington - The Civil war (Slavery, Abolitionists) - Industrial growth - The US and Latin America - Civil Rights - Vietnam.