*A Modern Approach*

**Author**: Karl Menger

**Publisher:** Courier Corporation

**ISBN:** 0486151603

**Category:** Mathematics

**Page:** 384

**View:** 8006

Skip to content
# Free eBooks PDF

## Calculus

An outstanding mathematician and educator presents pure and applied calculus in a clarified conceptual frame, offering a thorough understanding of theory as well as applications. 1955 edition.
## Calculus

Clearly written and well-illustrated, this text is geared toward undergraduate business and social science students. Topics include sets, functions, and graphs; limits and continuity; special functions; the derivative; the definite integral; and functions of several variables. Answers to more than half of the problems appear in the appendix. 1972 edition. Includes 142 figures.
## Elementary Calculus

This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition.
## A Treatise on Advanced Calculus

This classic offers a comprehensive logical treatment that concentrates on theory rather than on techniques and applications, providing students with a substantial base for graduate work in physics. 1940 edition.
## A Course in Advanced Calculus

An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.
## A Concept of Limits

An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. Many exercises with solutions. 1966 edition.
## Methods of Mathematics Applied to Calculus, Probability, and Statistics

This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.
## The Calculus Primer

Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to numerous diagrams, problems, and answers. Bearing the needs of beginners constantly in mind, the treatment covers all the basic concepts of calculus: functions, derivatives, differentiation of algebraic and transcendental functions, partial differentiation, indeterminate forms, general and special methods of integration, the definite integral, partial integration, and other fundamentals. Ample exercises permit students to test their grasp of subjects before moving forward, making this volume appropriate not only for classroom use but also for review and home study.
## Infinitesimal Calculus

Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.
## Calculus in the First Three Dimensions

Introduction to calculus for both undergraduate math majors and those pursuing other areas of science and engineering for whom calculus will be a vital tool. Solutions available as free downloads. 1967 edition.
## Calculus of Variations

Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
## Advanced Calculus

Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.
## Integral, Measure and Derivative

This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.
## Modern Calculus and Analytic Geometry

A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory — many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.
## Calculus and Statistics

Topics include applications of the derivative, sequences and series, the integral and continuous variates, discrete distributions, hypothesis testing, functions of several variables, and regression and correlation. 1970 edition. Includes 201 figures and 36 tables.
## Tensor Calculus

Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.
## Calculus

Application-oriented introduction relates the subject as closely as possible to science. 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.
## Calculus On Manifolds

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.
## Advanced Calculus

In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes’ theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed for any mathematician in need of a refreshingly informal and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics. This affordable softcover reprint of the 1994 edition presents the diverse set of topics from which advanced calculus courses are created in beautiful unifying generalization. The author emphasizes the use of differential forms in linear algebra, implicit differentiation in higher dimensions using the calculus of differential forms, and the method of Lagrange multipliers in a general but easy-to-use formulation. There are copious exercises to help guide the reader in testing understanding. The chapters can be read in almost any order, including beginning with the final chapter that contains some of the more traditional topics of advanced calculus courses. In addition, it is ideal for a course on vector analysis from the differential forms point of view. The professional mathematician will find here a delightful example of mathematical literature; the student fortunate enough to have gone through this book will have a firm grasp of the nature of modern mathematics and a solid framework to continue to more advanced studies. The most important feature...is that it is fun—it is fun to read the exercises, it is fun to read the comments printed in the margins, it is fun simply to pick a random spot in the book and begin reading. This is the way mathematics should be presented, with an excitement and liveliness that show why we are interested in the subject. —The American Mathematical Monthly (First Review) An inviting, unusual, high-level introduction to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, down-to-earth but general, geometrically rigorous, entertaining but serious. Remarkable diverse applications, physical and mathematical. —The American Mathematical Monthly (1994) Based on the Second Edition
## Differential Calculus and Its Applications

Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. 1976 edition.

Just another PDF Download site

Mathematics

*A Modern Approach*

**Author**: Karl Menger

**Publisher:** Courier Corporation

**ISBN:** 0486151603

**Category:** Mathematics

**Page:** 384

**View:** 8006

Mathematics

*A Short Course*

**Author**: Michael C. Gemignani

**Publisher:** Courier Corporation

**ISBN:** 0486438236

**Category:** Mathematics

**Page:** 269

**View:** 6721

Mathematics

*An Infinitesimal Approach*

**Author**: H. Jerome Keisler

**Publisher:** Courier Corporation

**ISBN:** 0486484521

**Category:** Mathematics

**Page:** 913

**View:** 3470

Mathematics

**Author**: Philip Franklin

**Publisher:** Courier Dover Publications

**ISBN:** 048680707X

**Category:** Mathematics

**Page:** 608

**View:** 9830

Mathematics

**Author**: Robert S. Borden

**Publisher:** Courier Corporation

**ISBN:** 0486150380

**Category:** Mathematics

**Page:** 416

**View:** 3270

Mathematics

**Author**: Donald W. Hight

**Publisher:** Courier Corporation

**ISBN:** 0486153126

**Category:** Mathematics

**Page:** 160

**View:** 4044

Mathematics

**Author**: Richard W. Hamming

**Publisher:** Courier Corporation

**ISBN:** 0486138879

**Category:** Mathematics

**Page:** 880

**View:** 4651

Mathematics

**Author**: William L. Schaaf

**Publisher:** Courier Corporation

**ISBN:** 0486172643

**Category:** Mathematics

**Page:** 432

**View:** 2143

Mathematics

**Author**: James M. Henle,Eugene M. Kleinberg

**Publisher:** Courier Corporation

**ISBN:** 0486151018

**Category:** Mathematics

**Page:** 144

**View:** 9464

Mathematics

**Author**: Sherman K. Stein

**Publisher:** Courier Dover Publications

**ISBN:** 0486801144

**Category:** Mathematics

**Page:** 640

**View:** 2358

Mathematics

**Author**: I. M. Gelfand,S. V. Fomin

**Publisher:** Courier Corporation

**ISBN:** 0486135012

**Category:** Mathematics

**Page:** 240

**View:** 9549

Mathematics

**Author**: Avner Friedman

**Publisher:** Courier Corporation

**ISBN:** 0486137864

**Category:** Mathematics

**Page:** 432

**View:** 7057

Mathematics

*A Unified Approach*

**Author**: G. E. Shilov,B. L. Gurevich

**Publisher:** Courier Corporation

**ISBN:** 0486165612

**Category:** Mathematics

**Page:** 256

**View:** 8298

Mathematics

**Author**: Richard A. Silverman

**Publisher:** Courier Corporation

**ISBN:** 0486793982

**Category:** Mathematics

**Page:** 1056

**View:** 3561

Mathematics

**Author**: Michael C. Gemignani

**Publisher:** Courier Corporation

**ISBN:** 0486151743

**Category:** Mathematics

**Page:** 384

**View:** 1914

Mathematics

**Author**: J. L. Synge,A. Schild

**Publisher:** Courier Corporation

**ISBN:** 048614139X

**Category:** Mathematics

**Page:** 336

**View:** 5296

Mathematics

*An Intuitive and Physical Approach*

**Author**: Morris Kline

**Publisher:** Courier Corporation

**ISBN:** 9780486404530

**Category:** Mathematics

**Page:** 943

**View:** 4900

Mathematics

*A Modern Approach To Classical Theorems Of Advanced Calculus*

**Author**: Michael Spivak

**Publisher:** CRC Press

**ISBN:** 0429970455

**Category:** Mathematics

**Page:** 162

**View:** 6039

Mathematics

*A Differential Forms Approach*

**Author**: Harold M. Edwards

**Publisher:** Springer Science & Business Media

**ISBN:** 0817684123

**Category:** Mathematics

**Page:** 508

**View:** 8415

Mathematics

**Author**: Michael J. Field

**Publisher:** Courier Corporation

**ISBN:** 0486298841

**Category:** Mathematics

**Page:** 336

**View:** 7548