Differential calculus /
Phillips, H. B.
Differential calculus / H. B. Phillips. - First Edition. - 162 pages : 23 cm.
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"--
DIFFERENTIAL CALCULUS.
QA 304 P45 1916
Differential calculus / H. B. Phillips. - First Edition. - 162 pages : 23 cm.
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"--
DIFFERENTIAL CALCULUS.
QA 304 P45 1916
