Differential calculus / H. B. Phillips.

By: Phillips, H. B [author.]Material type: TextTextPublisher: New York : John Wiley & Sons, Inc., c1916Edition: First EditionDescription: 162 pages : 23 cmSubject(s): DIFFERENTIAL CALCULUSLOC classification: QA 304 P45 1916
Contents:
Chapter I : Introduction. -- Chapter II : Derivative and differential. -- Chapter III : Differentiation of algebraic functions. -- Chapter IV : Rates. -- Chapter V : Maxima and minima. -- Chapter VI : Differentiation of transcendental functions. -- Chapter VII : Geometrical applications. -- Chapter VIII : Velocity and acceleration in a curved path. -- Chapter IX : Rolle's theorem and indeterminate forms. -- Chapter X : Series and approximations. -- Chapter XI : Partial differentiation. -- Index.
Summary: "Original, rigorous, and lively, this text offers a concise approach to classical and contemporary topics in differential calculus. The subject is presented in a Banach space setting, covering vector fields, one-parameter groups of diffeomorphisms, the Morse-Palais lemma, and differentiable submanifolds. Suitable for upper-level baccalaureate and graduate students of analysis, the treatment also examines applications to differential equations and the calculus of variables"-- Provided by publisher.
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Item type Current library Home library Collection Shelving location Call number Status Date due Barcode
Books Books NU Fairview College LRC
NU Fairview College LRC
Non-fiction General Circulation GC QA 304 P45 1916 (Browse shelf(Opens below)) Available NUFAI000005652

Includes index.

Chapter I : Introduction. -- Chapter II : Derivative and differential. -- Chapter III : Differentiation of algebraic functions. -- Chapter IV : Rates. -- Chapter V : Maxima and minima. -- Chapter VI : Differentiation of transcendental functions. -- Chapter VII : Geometrical applications. -- Chapter VIII : Velocity and acceleration in a curved path. -- Chapter IX : Rolle's theorem and indeterminate forms. -- Chapter X : Series and approximations. -- Chapter XI : Partial differentiation. -- Index.

"Original, rigorous, and lively, this text offers a concise approach to classical and contemporary topics in differential calculus. The subject is presented in a Banach space setting, covering vector fields, one-parameter groups of diffeomorphisms, the Morse-Palais lemma, and differentiable submanifolds. Suitable for upper-level baccalaureate and graduate students of analysis, the treatment also examines applications to differential equations and the calculus of variables"-- Provided by publisher.

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