Mathematics

Calculus

Author: Karl Menger

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 384

View: 935

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

Modern Calculus and Analytic Geometry

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 1056

View: 651

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

Author: Morris Kline

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 943

View: 149

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

Differential Equations

Author: Harry Hochstadt

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 294

View: 692

Modern approach to differential equations presents subject in terms of ideas and concepts rather than special cases and tricks which traditional courses emphasized. No prerequisites needed other than a good calculus course. Certain concepts from linear algebra used throughout. Problem section at end of each chapter. 134 problems. Preface. Index.
Mathematics

Essential Calculus with Applications

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 292

View: 189

Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition.
Mathematics

Modern Methods in Topological Vector Spaces

Author: Albert Wilansky

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 320

View: 233

Geared toward beginning graduate students of mathematics, this text covers Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators, inductive limits, and compactness and barrelled spaces. 1978 edition.
Mathematics

Advanced Calculus

Author: David Vernon Widder

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 520

View: 635

Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.
Mathematics

Calculus: A Rigorous First Course

Author: Daniel J. Velleman

Publisher: Courier Dover Publications

ISBN:

Category: Mathematics

Page: 736

View: 261

Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.
Mathematics

Calculus of Variations

Author: I. M. Gelfand

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 240

View: 797

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.
Science

A Concise History of Mathematics

Author: Dirk J. Struik

Publisher: Courier Corporation

ISBN:

Category: Science

Page: 256

View: 648

Compact, well-written survey ranges from the ancient Near East to 20th-century computer theory, covering Archimedes, Pascal, Gauss, Hilbert, and many others. "A work which is unquestionably one of the best." — Nature.