Author: Publisher: Bookboon
ISBN: 8776812413
Category :
Languages : en
Pages : 116
Book Description
Real Functions in One Variable - Simple 2...
Author: Real Functions in One Variable - Simple 1...
Author: Real Analysis
Author: Miklós LaczkovichPublisher: Springer
ISBN: 1493927663
Category : Mathematics
Languages : en
Pages : 486
Book Description
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.
Real Functions in One Variable - Taylor's...
Author: Real Functions in One Variable
Author: Real Functions in One Variable - Elementary...
Author: Real Functions in One Variable - Integrals...
Author: Calculus
Author: Stanley I. GrossmanPublisher: Academic Press
ISBN: 148326243X
Category : Mathematics
Languages : en
Pages : 1177
Book Description
Calculus, Second Edition discusses the techniques and theorems of calculus. This edition introduces the sine and cosine functions, distributes ?-? material over several chapters, and includes a detailed account of analytic geometry and vector analysis. This book also discusses the equation of a straight line, trigonometric limit, derivative of a power function, mean value theorem, and fundamental theorems of calculus. The exponential and logarithmic functions, inverse trigonometric functions, linear and quadratic denominators, and centroid of a plane region are likewise elaborated. Other topics include the sequences of real numbers, dot product, arc length as a parameter, quadric surfaces, higher-order partial derivatives, and Green's theorem in the plane. This publication is a good source for students learning calculus.
The Integration of Functions of a Single Variable
Author: Godfrey Harold HardyPublisher:
ISBN:
Category : Calculus, Integral
Languages : en
Pages : 76
Book Description
Functions of a Real Variable
Author: N. BourbakiPublisher: Springer Science & Business Media
ISBN: 3642593151
Category : Mathematics
Languages : en
Pages : 343
Book Description
This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.