Mathematics

Calculus

A Modern Approach

Author: Karl Menger

Publisher: Courier Corporation

ISBN: 0486151603

Category: Mathematics

Page: 384

View: 8006

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.
Mathematics

Calculus

A Short Course

Author: Michael C. Gemignani

Publisher: Courier Corporation

ISBN: 0486438236

Category: Mathematics

Page: 269

View: 6721

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.
Mathematics

Elementary Calculus

An Infinitesimal Approach

Author: H. Jerome Keisler

Publisher: Courier Corporation

ISBN: 0486484521

Category: Mathematics

Page: 913

View: 3470

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.
Mathematics

A Treatise on Advanced Calculus

Author: Philip Franklin

Publisher: Courier Dover Publications

ISBN: 048680707X

Category: Mathematics

Page: 608

View: 9830

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.
Mathematics

A Course in Advanced Calculus

Author: Robert S. Borden

Publisher: Courier Corporation

ISBN: 0486150380

Category: Mathematics

Page: 416

View: 3270

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.
Mathematics

A Concept of Limits

Author: Donald W. Hight

Publisher: Courier Corporation

ISBN: 0486153126

Category: Mathematics

Page: 160

View: 4044

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.
Mathematics

Methods of Mathematics Applied to Calculus, Probability, and Statistics

Author: Richard W. Hamming

Publisher: Courier Corporation

ISBN: 0486138879

Category: Mathematics

Page: 880

View: 4651

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.
Mathematics

The Calculus Primer

Author: William L. Schaaf

Publisher: Courier Corporation

ISBN: 0486172643

Category: Mathematics

Page: 432

View: 2143

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.
Mathematics

Infinitesimal Calculus

Author: James M. Henle,Eugene M. Kleinberg

Publisher: Courier Corporation

ISBN: 0486151018

Category: Mathematics

Page: 144

View: 9464

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.
Mathematics

Calculus in the First Three Dimensions

Author: Sherman K. Stein

Publisher: Courier Dover Publications

ISBN: 0486801144

Category: Mathematics

Page: 640

View: 2358

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.
Mathematics

Calculus of Variations

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

Publisher: Courier Corporation

ISBN: 0486135012

Category: Mathematics

Page: 240

View: 9549

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.
Mathematics

Advanced Calculus

Author: Avner Friedman

Publisher: Courier Corporation

ISBN: 0486137864

Category: Mathematics

Page: 432

View: 7057

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.
Mathematics

Integral, Measure and Derivative

A Unified Approach

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

Publisher: Courier Corporation

ISBN: 0486165612

Category: Mathematics

Page: 256

View: 8298

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.
Mathematics

Modern Calculus and Analytic Geometry

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN: 0486793982

Category: Mathematics

Page: 1056

View: 3561

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.
Mathematics

Calculus and Statistics

Author: Michael C. Gemignani

Publisher: Courier Corporation

ISBN: 0486151743

Category: Mathematics

Page: 384

View: 1914

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.
Mathematics

Tensor Calculus

Author: J. L. Synge,A. Schild

Publisher: Courier Corporation

ISBN: 048614139X

Category: Mathematics

Page: 336

View: 5296

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.
Mathematics

Calculus

An Intuitive and Physical Approach

Author: Morris Kline

Publisher: Courier Corporation

ISBN: 9780486404530

Category: Mathematics

Page: 943

View: 4900

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.
Mathematics

Calculus On Manifolds

A Modern Approach To Classical Theorems Of Advanced Calculus

Author: Michael Spivak

Publisher: CRC Press

ISBN: 0429970455

Category: Mathematics

Page: 162

View: 6039

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.
Mathematics

Advanced Calculus

A Differential Forms Approach

Author: Harold M. Edwards

Publisher: Springer Science & Business Media

ISBN: 0817684123

Category: Mathematics

Page: 508

View: 8415

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
Mathematics

Differential Calculus and Its Applications

Author: Michael J. Field

Publisher: Courier Corporation

ISBN: 0486298841

Category: Mathematics

Page: 336

View: 7548

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.