Lectures on the Theory of Functions of Real Variables: Point sets and proper integrals

Lectures on the Theory of Functions of Real Variables: Point sets and proper integrals PDF Author: James Pierpont
Publisher:
ISBN:
Category : Functions of real variables
Languages : en
Pages : 668

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Lectures on the Theory of Functions of Real Variables: Point sets and proper integrals

Lectures on the Theory of Functions of Real Variables: Point sets and proper integrals PDF Author: James Pierpont
Publisher:
ISBN:
Category : Functions of real variables
Languages : en
Pages : 668

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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 : 674

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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 : 584

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Several Real Variables

Several Real Variables PDF Author: Shmuel Kantorovitz
Publisher: Springer
ISBN: 3319279564
Category : Mathematics
Languages : en
Pages : 317

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Book Description
This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass approximation theorems •The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables •The Implicit Function Theorem for a system of equations, proved via Banach’s Fixed Point Theorem •Applications to Ordinary Differential Equations •Line integrals and an introduction to surface integrals This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in linear algebra and analysis of one real variable.

Theory of Functions of a Real Variable

Theory of Functions of a Real Variable PDF Author: I. P. Natanson
Publisher:
ISBN:
Category : Functions of real variables
Languages : en
Pages : 0

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The Theory of Functions of Real Variables

The Theory of Functions of Real Variables PDF Author: Lawrence M Graves
Publisher: Courier Corporation
ISBN: 0486158136
Category : Mathematics
Languages : en
Pages : 361

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Book Description
This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.

Geometric Theory of Functions of a Complex Variable

Geometric Theory of Functions of a Complex Variable PDF Author: Gennadiĭ Mikhaĭlovich Goluzin
Publisher: American Mathematical Soc.
ISBN: 9780821886557
Category : Functions of complex variables
Languages : en
Pages : 690

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A Handbook of Real Variables

A Handbook of Real Variables PDF Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 0817681280
Category : Mathematics
Languages : en
Pages : 209

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Book Description
This concise, well-written handbook provides a distillation of real variable theory with a particular focus on the subject's significant applications to differential equations and Fourier analysis. Ample examples and brief explanations---with very few proofs and little axiomatic machinery---are used to highlight all the major results of real analysis, from the basics of sequences and series to the more advanced concepts of Taylor and Fourier series, Baire Category, and the Weierstrass Approximation Theorem. Replete with realistic, meaningful applications to differential equations, boundary value problems, and Fourier analysis, this unique work is a practical, hands-on manual of real analysis that is ideal for physicists, engineers, economists, and others who wish to use the fruits of real analysis but who do not necessarily have the time to appreciate all of the theory. Valuable as a comprehensive reference, a study guide for students, or a quick review, "A Handbook of Real Variables" will benefit a wide audience.

Lectures on the Theory of Functions of a Complex Variable

Lectures on the Theory of Functions of a Complex Variable PDF Author: G. Sansone
Publisher: Springer
ISBN: 9789028609044
Category : Mathematics
Languages : en
Pages : 1188

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Functions of a Complex Variable

Functions of a Complex Variable PDF Author: Vladimir Ivanovich Smirnov
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 522

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