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Real Functions in One Variable - Elementary...

Real Functions in One Variable - Elementary... PDF Author:
Publisher: Bookboon
ISBN: 8776812375
Category :
Languages : en
Pages : 89

Book Description


Real Functions in One Variable - Elementary...

Real Functions in One Variable - Elementary... PDF Author:
Publisher: Bookboon
ISBN: 8776812375
Category :
Languages : en
Pages : 89

Book Description


Functions of a Real Variable

Functions of a Real Variable PDF Author: N. Bourbaki
Publisher: 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

Real Functions in One Variable PDF Author:
Publisher: Bookboon
ISBN: 8776811174
Category :
Languages : en
Pages : 146

Book Description


Real Analysis

Real Analysis PDF Author: Miklós Laczkovich
Publisher: 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...

Real Functions in One Variable - Simple 1... PDF Author:
Publisher: Bookboon
ISBN: 8776812367
Category :
Languages : en
Pages : 118

Book Description


Introduction to Analysis in One Variable

Introduction to Analysis in One Variable PDF Author: Michael E. Taylor
Publisher: 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

Calculus PDF Author: Stanley I. Grossman
Publisher:
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

Lectures on the Theory of Functions of Real Variables PDF Author: James Pierpont
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 586

Book Description


Elementary Calculus

Elementary Calculus PDF Author: H. Jerome Keisler
Publisher: 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

Intermediate Analysis PDF Author: John Meigs Hubbell Olmsted
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 332

Book Description