Author: Publisher: Bookboon
ISBN: 8776812375
Category :
Languages : en
Pages : 89
Book Description
Real Functions in One Variable - Elementary...
Author: 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.
Real Functions in One Variable
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 - Simple 1...
Author: Introduction to Analysis in One Variable
Author: Michael E. TaylorPublisher: American Mathematical Soc.
ISBN: 1470456680
Category : Education
Languages : en
Pages : 247
Book Description
This is a text for students who have had a three-course calculus sequence and who are ready to explore the logical structure of analysis as the backbone of calculus. It begins with a development of the real numbers, building this system from more basic objects (natural numbers, integers, rational numbers, Cauchy sequences), and it produces basic algebraic and metric properties of the real number line as propositions, rather than axioms. The text also makes use of the complex numbers and incorporates this into the development of differential and integral calculus. For example, it develops the theory of the exponential function for both real and complex arguments, and it makes a geometrical study of the curve (expit) (expit), for real t t, leading to a self-contained development of the trigonometric functions and to a derivation of the Euler identity that is very different from what one typically sees. Further topics include metric spaces, the Stone–Weierstrass theorem, and Fourier series.
Calculus
Author: Stanley I. GrossmanPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1166
Book Description
Revised edition of a standard textbook for a three-semester (or four- to five-quarter) introduction to calculus. In addition to covering all the standard topics, it includes a number of features written to accomplish three goals: to make calculus easier through the use of examples, graphs, reviews, etc.; to help students appreciate the beauty of calculus through the use of applications in a wide variety of fields; and to make calculus interesting by discussing the historical development of the subject. Annotation copyright by Book News, Inc., Portland, OR
Lectures on the Theory of Functions of Real Variables
Author: James PierpontPublisher:
ISBN:
Category : Calculus
Languages : en
Pages : 586
Book Description
Elementary Calculus
Author: H. Jerome KeislerPublisher: Courier Corporation
ISBN: 0486310469
Category : Mathematics
Languages : en
Pages : 1012
Book Description
This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including approximation problems, vectors, partial derivatives, and multiple integrals. 2007 edition.
Intermediate Analysis
Author: John Meigs Hubbell OlmstedPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 332
Book Description