Search Results for "calculus-an-intuitive-and-physical-approach-second-edition-dover-books-on-mathematics"

Calculus

Calculus

An Intuitive and Physical Approach (Second Edition)

  • Author: Morris Kline
  • Publisher: Courier Corporation
  • ISBN: 0486134768
  • Category: Mathematics
  • Page: 960
  • View: 9042
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Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.

Mathematics and the Physical World

Mathematics and the Physical World

  • Author: Morris Kline
  • Publisher: Courier Corporation
  • ISBN: 0486136310
  • Category: Mathematics
  • Page: 512
  • View: 6326
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Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

Mathematics for the Nonmathematician

Mathematics for the Nonmathematician

  • Author: Morris Kline
  • Publisher: Courier Corporation
  • ISBN: 0486316130
  • Category: Mathematics
  • Page: 672
  • View: 641
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Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

Mathematics in Western Culture

Mathematics in Western Culture

  • Author: Morris Kline
  • Publisher: Oxford University Press
  • ISBN: 9780195345452
  • Category: Mathematics
  • Page: 512
  • View: 2882
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This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.

Elementary Calculus

Elementary Calculus

An Infinitesimal Approach

  • Author: H. Jerome Keisler
  • Publisher: Courier Corporation
  • ISBN: 0486484521
  • Category: Mathematics
  • Page: 913
  • View: 4652
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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

Mathematics

The Loss of Certainty

  • Author: Morris Kline
  • Publisher: Oxford University Press, USA
  • ISBN: 9780195030853
  • Category: Mathematics
  • Page: 366
  • View: 9704
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Refuting the accepted belief that mathematics is exact and infallible, the author examines the development of conflicting concepts of mathematics and their implications for the physical, applied, social, and computer sciences

Calculus

Calculus

A Short Course

  • Author: Michael C. Gemignani
  • Publisher: Courier Corporation
  • ISBN: 0486438236
  • Category: Mathematics
  • Page: 269
  • View: 1440
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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.

Modern Calculus and Analytic Geometry

Modern Calculus and Analytic Geometry

  • Author: Richard A. Silverman
  • Publisher: Courier Corporation
  • ISBN: 0486793982
  • Category: Mathematics
  • Page: 1056
  • View: 2123
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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 Refresher

Calculus Refresher

  • Author: A. A. Klaf
  • Publisher: Courier Corporation
  • ISBN: 0486138607
  • Category: Mathematics
  • Page: 431
  • View: 5063
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Unique refresher covers important aspects of integral and differential calculus via 756 questions. Features constants, variables, functions, increments, derivatives, differentiation, more. A 50-page section applies calculus to engineering problems. Includes 566 problems, most with answers.

Calculus in the First Three Dimensions

Calculus in the First Three Dimensions

  • Author: Sherman K. Stein
  • Publisher: Courier Dover Publications
  • ISBN: 0486801144
  • Category: Mathematics
  • Page: 640
  • View: 8493
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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.

Advanced Calculus of Several Variables

Advanced Calculus of Several Variables

  • Author: C. H. Edwards
  • Publisher: Academic Press
  • ISBN: 1483268055
  • Category: Mathematics
  • Page: 470
  • View: 9004
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Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.

A Concept of Limits

A Concept of Limits

  • Author: Donald W. Hight
  • Publisher: Courier Corporation
  • ISBN: 0486153126
  • Category: Mathematics
  • Page: 160
  • View: 3266
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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.

Calculus for the Practical Man

Calculus for the Practical Man

  • Author: J. E. Thompson
  • Publisher: Read Books Ltd
  • ISBN: 1446547086
  • Category: Mathematics
  • Page: 360
  • View: 5198
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This book on calculus is one of a series designed by the author and publisher for the reader with an interest in the meaning and simpler technique of mathematical science, and for those who wish to obtain a practical mastery of some of the more usual and directly useful branches of the science without the aid of a teacher. Like the other books in the series it is the outgrowth of the author's experience with students such as those mentioned and the demand experienced by the publisher for books which may be read as well as studied. One of the outstanding features of the book is the use of the method of rates instead of the method of limits. To the conventional teacher of mathematics, whose students work for a college degree and look toward the modern theory of functions, the author hastens to say that for their purposes the limit method is the only method which can profitably be used. To the readers contemplated in the preparation of this book, however, the notion of a limit and any method of calculation based upon it always seem artificial and not in any way connected with the familiar ideas of numbers, algebraic symbolism or natural phenomena. On the other hand, the method of rates seems a direct application of the principle which such a reader has often heard mentioned as the extension of arithmetic and algebra with which he must become acquainted before he can perform calculations which involve changing quantities. The familiarity of examples of changing quantities in every-day life also makes it a simple matter to introduce the terminology of the calculus; teachers and readers will recall the difficulty encountered in this connection in more formal treatments. The scope and range of the book are evident from the table of contents. The topics usually found in books on the calculus but not appearing here are omitted in conformity with the plan of the book as stated in the first paragraph above. An attempt has been made to approach the several parts of the subject as naturally and directly as possible, to show as clearly as possible the unity and continuity of the subject as a whole, to show what the calculus is all about and how it is used, and to present the material in as simple, straightforward and informal a style as it will permit. It is hoped thus that the book will be of the greatest interest and usefulness to the readers mentioned above.

The History of the Calculus and Its Conceptual Development

The History of the Calculus and Its Conceptual Development

  • Author: Carl B. Boyer
  • Publisher: Courier Corporation
  • ISBN: 0486175383
  • Category: Mathematics
  • Page: 368
  • View: 1329
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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

Mathematics

Its Content, Methods and Meaning

  • Author: A. D. Aleksandrov,A. N. Kolmogorov,M. A. Lavrent’ev
  • Publisher: Courier Corporation
  • ISBN: 0486157873
  • Category: Mathematics
  • Page: 1120
  • View: 9081
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Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.

Mathematician's Delight

Mathematician's Delight

  • Author: W. W. Sawyer
  • Publisher: Courier Corporation
  • ISBN: 0486137007
  • Category: Mathematics
  • Page: 240
  • View: 6384
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"Recommended with confidence" by The Times Literary Supplement, this lively survey was written by a renowned teacher. It starts with arithmetic and algebra, gradually proceeding to trigonometry and calculus. 1943 edition.

Calculus

Calculus

A Modern Approach

  • Author: Karl Menger
  • Publisher: Courier Corporation
  • ISBN: 0486151603
  • Category: Mathematics
  • Page: 384
  • View: 4789
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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.

The Humongous Book of Calculus Problems

The Humongous Book of Calculus Problems

  • Author: W. Michael Kelley
  • Publisher: Penguin
  • ISBN: 1615646973
  • Category: Mathematics
  • Page: 576
  • View: 2468
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Now students have nothing to fear! Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams. --Includes 1,000 problems with comprehensive solutions --Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps --Kelley is a former award-winning calculus teacher

Introduction to Calculus and Analysis

Introduction to Calculus and Analysis

  • Author: Richard Courant,Fritz John
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540665694
  • Category: Mathematics
  • Page: 556
  • View: 4193
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Biography of Richard Courant Richard Courant was born in 1888 in a small town of what is now Poland, and died in New Rochelle, N.Y. in 1972. He received his doctorate from the legendary David Hilbert in Göttingen, where later he founded and directed its famed mathematics Institute, a Mecca for mathematicians in the twenties. In 1933 the Nazi government dismissed Courant for being Jewish, and he emigrated to the United States. He found, in New York, what he called "a reservoir of talent" to be tapped. He built, at New York University, a new mathematical Sciences Institute that shares the philosophy of its illustrious predecessor and rivals it in worldwide influence. For Courant mathematics was an adventure, with applications forming a vital part. This spirit is reflected in his books, in particular in his influential calculus text, revised in collaboration with his brilliant younger colleague, Fritz John. (P.D. Lax) Biography of Fritz John Fritz John was born on June 14, 1910, in Berlin. After his school years in Danzig (now Gdansk, Poland), he studied in Göttingen and received his doctorate in 1933, just when the Nazi regime came to power. As he was half-Jewish and his bride Aryan, he had to flee Germany in 1934. After a year in Cambridge, UK, he accepted a position at the University of Kentucky, and in 1946 joined Courant, Friedrichs and Stoker in building up New York University the institute that later became the Courant Institute of Mathematical Sciences. He remained there until his death in New Rochelle on February 10, 1994. John's research and the books he wrote had a strong impact on the development of many fields of mathematics, foremost in partial differential equations. He also worked on Radon transforms, illposed problems, convex geometry, numerical analysis, elasticity theory. In connection with his work in latter field, he and Nirenberg introduced the space of the BMO-functions (bounded mean oscillations). Fritz John's work exemplifies the unity of mathematics as well as its elegance and its beauty. (J. Moser)