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Theory Of Functions Of Real Variables
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Book Synopsis The Theory of Functions of Real Variables by : Lawrence M Graves
Download or read book The Theory of Functions of Real Variables written by Lawrence M Graves and published by Courier Corporation. This book was released on 2012-01-27 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :I P (Isidor Pavlovich) Natanson Publisher :Hassell Street Press ISBN 13 :9781013315244 Total Pages :288 pages Book Rating :4.3/5 (152 download)
Book Synopsis Theory of Functions of a Real Variable (Teoria Functsiy Veshchestvennoy Peremennoy, Chapters I to IX) by : I P (Isidor Pavlovich) Natanson
Download or read book Theory of Functions of a Real Variable (Teoria Functsiy Veshchestvennoy Peremennoy, Chapters I to IX) written by I P (Isidor Pavlovich) Natanson and published by Hassell Street Press. This book was released on 2021-09-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Functions Of Several Real Variables by : Martin Moskowitz
Download or read book Functions Of Several Real Variables written by Martin Moskowitz and published by World Scientific Publishing Company. This book was released on 2011-04-29 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration such as the Inverse and Implicit Function theorems, Lagrange's multiplier rule, Fubini's theorem, the change of variables formula, Green's, Stokes' and Gauss' theorems are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one result upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify matters and teach the reader how to apply these results and solve problems in mathematics, the other sciences and economics.Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Sard's theorem , the Weierstrass approximation theorem, the Fourier transform, Vector fields on spheres, Brouwer's fixed point theorem, Whitney's embedding theorem, Picard's theorem, and Hermite polynomials are discussed in stared sections.
Book Synopsis Functions of a Real Variable by : N. Bourbaki
Download or read book Functions of a Real Variable written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Functions of a Real Variable by : Shlomo Sternberg
Download or read book Theory of Functions of a Real Variable written by Shlomo Sternberg and published by Orange Grove Texts Plus. This book was released on 2009-09-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is for a beginning graduate course in real variables and functional analysis. It assumes that the student has seen the basics of real variable theory and point set topology. Contents: 1) The topology of metric spaces. 2) Hilbert Spaces and Compact operators. 3) The Fourier Transform. 4) Measure theory. 5) The Lebesgue integral. 6) The Daniell integral. 7) Wiener measure, Brownian motion and white noise. 8) Haar measure. 9) Banach algebras and the spectral theorem. 10) The spectral theorem. 11) Stone's theorem. 12) More about the spectral theorem. 13) Scattering theory.
Book Synopsis Methods of the Theory of Functions of Many Complex Variables by : Vasiliy Sergeyevich Vladimirov
Download or read book Methods of the Theory of Functions of Many Complex Variables written by Vasiliy Sergeyevich Vladimirov and published by Courier Corporation. This book was released on 2007-01-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.
Book Synopsis The Theory of Functions of a Real Variable by : R. L. Jeffery
Download or read book The Theory of Functions of a Real Variable written by R. L. Jeffery and published by Dover Publications. This book was released on 1985 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Real Variables: An Introduction to the Theory of Functions by : Karo Maestro
Download or read book Real Variables: An Introduction to the Theory of Functions written by Karo Maestro and published by Independently Published. This book was released on 2019-02 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This wonderful textbook, written by one of the preeminent teachers and researchers of analysis of the mid-20th century, gives a deep and comprehensive presentation of undergraduate real analysis of one and several variables that is accessible to any student with a good working knowledge of calculus and some experience with proofs, such as can be provided by a non-applied first linear algebra course or discrete mathematics course. The book lies midway in difficulty between the very basic analysis texts i.e. "baby real variables" texts that present a first course in rigorous single variable calculus and hard-edged real variables courses set in abstract metric spaces like Rudin and Pugh. It is also very broad in coverage. The republication of this book for the first time in nearly 50 years will provide an excellent choice for either a course text or self-study in undergraduate analysis.Several aspects of the book's unusual organization and content make it very deserving of low cost republication. Firstly, while it covers just about all the usual topics in any undergraduate analysis text-number systems, functions, limits of functions and sequences of one and several variables in ℝn, continuity, differentiation and integration of functions in ℝ, bounded sequences, metric spaces, basic point set topology, infinite series, power series, convergence tests, improper integrals, partial and total derivatives and multiple integrals- it has a number of unique aspects to the presentation that distinguish it from other textbooks. For example, a number of important concepts of analysis are covered in the starred sections and exercises that are not usually covered in these courses, such as point set topology, Riemann-Steijles integration, vector analysis and differential forms. Another excellent innovation that an entire opening chapter giving a far more detailed axiomatic description of the number systems without explicitly constructing them. While most analysis texts have such an opening section, Olmstead's is longer and more detailed then the ones found in most books with many substantial exercises. Another positive quality of the book is its' unusual midway level of difficulty. Calculus courses today are far weaker than they were when the standard textbooks such as Walter Rudin's Principles of Mathematical Analysis were published. As a result, a number of students beginning analysis today need a bit more foundational training in rigorous calculus before tackling functions in Euclidean spaces and abstract metric spaces. So usually students have to begin with a "baby real variables" text before moving on to analysis on metric spaces. Olmsted does a fine job in his early chapters of presenting the properties of the real numbers and a precise presentation of calculus on the real line. This allows the first half of the text to act as a "baby real variables" book i.e. a bridge between today's calculus courses and hard-edged classical analysis courses on metric spaces. As a result, students will only need one inexpensive text rather than two. Lastly, Olmsted contains "pragmatic" sections that discuss classical, more computational aspects of analysis that would be of great interest to applied mathematics, physics and engineering students. It's clear that Olmsted's book is an extraordinarily versatile textbook for undergraduate analysis courses at all levels. It will make a strong addition to the undergraduate analysis textbook literature and will be immensely useful to students and teachers alike as either a low-priced main textbook or as a supplement.
Book Synopsis Intermediate Analysis by : John Meigs Hubbell Olmsted
Download or read book Intermediate Analysis written by John Meigs Hubbell Olmsted and published by . This book was released on 1956 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on the Theory of Functions of Real Variables by : James Pierpont
Download or read book Lectures on the Theory of Functions of Real Variables written by James Pierpont and published by . This book was released on 1905 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Theory of Functions of Real Variables by : Lawrence Murray Graves
Download or read book The Theory of Functions of Real Variables written by Lawrence Murray Graves and published by . This book was released on 1931 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Several Real Variables by : Shmuel Kantorovitz
Download or read book Several Real Variables written by Shmuel Kantorovitz and published by Springer. This book was released on 2016-02-09 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Theory of Functions of a Real Variable and the Theory of Fourier's Series by : Ernest William Hobson
Download or read book The Theory of Functions of a Real Variable and the Theory of Fourier's Series written by Ernest William Hobson and published by . This book was released on 1927 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Real Variables by : John Meigs Hubbell Olmsted
Download or read book Real Variables written by John Meigs Hubbell Olmsted and published by . This book was released on 1959 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Function Theory of Several Complex Variables by : Steven George Krantz
Download or read book Function Theory of Several Complex Variables written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2001 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Book Synopsis Elementary Theory of Analytic Functions of One or Several Complex Variables by : Henri Cartan
Download or read book Elementary Theory of Analytic Functions of One or Several Complex Variables written by Henri Cartan and published by Courier Corporation. This book was released on 2013-04-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Book Synopsis Function Theory of One Complex Variable by : Robert Everist Greene
Download or read book Function Theory of One Complex Variable written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.