Mathematics

Calculus

A Modern Approach

Author: Karl Menger

Publisher: Courier Corporation

ISBN: 0486151603

Category: Mathematics

Page: 384

View: 9592

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: 0486793982

Category: Mathematics

Page: 1056

View: 5444

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

An Intuitive and Physical Approach

Author: Morris Kline

Publisher: Courier Corporation

ISBN: 9780486404530

Category: Mathematics

Page: 943

View: 4071

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

A Modern Approach

Author: Harry Hochstadt

Publisher: Courier Corporation

ISBN: 0486619419

Category: Mathematics

Page: 294

View: 4857

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

The History of the Calculus and Its Conceptual Development

Author: Carl B. Boyer

Publisher: Courier Corporation

ISBN: 0486175383

Category: Mathematics

Page: 368

View: 6598

Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.
Mathematics

Essential Calculus with Applications

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN: 9780486660974

Category: Mathematics

Page: 292

View: 7633

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

Calculus of Variations

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

Publisher: Courier Corporation

ISBN: 0486135012

Category: Mathematics

Page: 240

View: 5539

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.
Technology & Engineering

Differentialgeometrie von Kurven und Flächen

Author: Manfredo P. do Carmo

Publisher: Springer-Verlag

ISBN: 3322850722

Category: Technology & Engineering

Page: 263

View: 7192

Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang
Mathematics

Introduction to the Calculus of Variations

Author: Hans Sagan

Publisher: Courier Corporation

ISBN: 048613802X

Category: Mathematics

Page: 480

View: 7609

Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.
Mathematics

Calculus: A Rigorous First Course

Author: Daniel J. Velleman

Publisher: Courier Dover Publications

ISBN: 0486809366

Category: Mathematics

Page: 736

View: 8505

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.
Science

A Concise History of Mathematics

Fourth Revised Edition

Author: Dirk J. Struik

Publisher: Courier Corporation

ISBN: 0486138887

Category: Science

Page: 256

View: 2746

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.
Technology & Engineering

Modern Mathematics for the Engineer: First Series

Author: Edwin F. Beckenbach,Royal Weller

Publisher: Courier Corporation

ISBN: 0486497461

Category: Technology & Engineering

Page: 514

View: 6324

This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community, focusing on material relevant to solving the kinds of problems regularly confronted. Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributors include Solomon Lefschetz, Richard Courant, and Norbert Wiener. 1956 edition.
Mathematics

Differential Calculus and Its Applications

Author: Michael J. Field

Publisher: Courier Corporation

ISBN: 0486298841

Category: Mathematics

Page: 336

View: 3180

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.
Mathematics

Fundamentals of Scientific Mathematics

Author: George E. Owen

Publisher: Courier Corporation

ISBN: 0486164586

Category: Mathematics

Page: 288

View: 6403

Offering undergraduates a solid mathematical background (and functioning equally well for independent study), this rewarding, beautifully illustrated text covers geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. 1961 edition.
Mathematics

A Treatise on Advanced Calculus

Author: Philip Franklin

Publisher: Courier Dover Publications

ISBN: 048680707X

Category: Mathematics

Page: 608

View: 5449

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

An Introduction to Mathematical Modeling

Author: Edward A. Bender

Publisher: Courier Corporation

ISBN: 9780486411804

Category: Mathematics

Page: 256

View: 9027

Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.
Mathematics

Foundations of Mathematical Analysis

Author: Richard Johnsonbaugh,W.E. Pfaffenberger

Publisher: Courier Corporation

ISBN: 0486134776

Category: Mathematics

Page: 448

View: 9729

Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.
Mathematics

Advanced Calculus

Author: David Vernon Widder

Publisher: Courier Corporation

ISBN: 9780486661032

Category: Mathematics

Page: 520

View: 6729

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.