Real Variables PDF Download
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Author | : Lawrence M Graves |
Publisher | : Courier Corporation |
Total Pages | : 361 |
Release | : 2012-01-27 |
Genre | : Mathematics |
ISBN | : 0486158136 |
Download The Theory of Functions of Real Variables Book in PDF, ePub and Kindle
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 | : Robert B. Ash |
Publisher | : Courier Corporation |
Total Pages | : 216 |
Release | : 2014-07-28 |
Genre | : Mathematics |
ISBN | : 0486151492 |
Download Real Variables with Basic Metric Space Topology Book in PDF, ePub and Kindle
Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. Geared toward advanced undergraduate and graduate students of mathematics, it is also appropriate for students of engineering, physics, and economics who seek an understanding of real analysis. The author encourages an intuitive approach to problem solving and offers concrete examples, diagrams, and geometric or physical interpretations of results. Detailed solutions to the problems appear within the text, making this volume ideal for independent study. Topics include metric spaces, Euclidean spaces and their basic topological properties, sequences and series of real numbers, continuous functions, differentiation, Riemann-Stieltjes integration, and uniform convergence and applications.
Author | : Steven G. Krantz |
Publisher | : Springer Science & Business Media |
Total Pages | : 224 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9780817643294 |
Download A Handbook of Real Variables Book in PDF, ePub and Kindle
This concise real analysis handbook takes into account the fundamentals of the classical theory of the subject and sheds light on its significant applications to differential equations and Fourier analysis. It de-emphasizes proofs and instead stresses concepts, examples and insights.
Author | : Shmuel Kantorovitz |
Publisher | : Springer |
Total Pages | : 317 |
Release | : 2016-02-09 |
Genre | : Mathematics |
ISBN | : 3319279564 |
Download Several Real Variables Book in PDF, ePub and Kindle
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.
Author | : Martin Moskowitz |
Publisher | : World Scientific Publishing Company |
Total Pages | : 732 |
Release | : 2011-04-29 |
Genre | : Mathematics |
ISBN | : 9813100915 |
Download Functions Of Several Real Variables Book in PDF, ePub and Kindle
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.
Author | : Edgar Jerome Townsend |
Publisher | : |
Total Pages | : 430 |
Release | : 1928 |
Genre | : Functions |
ISBN | : |
Download Functions of Real Variables Book in PDF, ePub and Kindle
Author | : Martin A. Moskowitz |
Publisher | : World Scientific |
Total Pages | : 733 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 981429926X |
Download Functions of Several Real Variables Book in PDF, ePub and Kindle
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 are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one theorem upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify the theory and teach the reader how to apply it to solve problems in mathematics and 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, Brouwer's fixed point theorem, Picard's theorem and the Weierstrass approximation theorem are discussed in stared sections.
Author | : Lawrence Murray Graves |
Publisher | : |
Total Pages | : 222 |
Release | : 1931 |
Genre | : Functions |
ISBN | : |
Download The Theory of Functions of Real Variables Book in PDF, ePub and Kindle
Author | : John P. D'Angelo |
Publisher | : Routledge |
Total Pages | : 319 |
Release | : 2019-07-16 |
Genre | : Mathematics |
ISBN | : 1351416715 |
Download Several Complex Variables and the Geometry of Real Hypersurfaces Book in PDF, ePub and Kindle
Several Complex Variables and the Geometry of Real Hypersurfaces covers a wide range of information from basic facts about holomorphic functions of several complex variables through deep results such as subelliptic estimates for the ?-Neumann problem on pseudoconvex domains with a real analytic boundary. The book focuses on describing the geometry of a real hypersurface in a complex vector space by understanding its relationship with ambient complex analytic varieties. You will learn how to decide whether a real hypersurface contains complex varieties, how closely such varieties can contact the hypersurface, and why it's important. The book concludes with two sets of problems: routine problems and difficult problems (many of which are unsolved). Principal prerequisites for using this book include a thorough understanding of advanced calculus and standard knowledge of complex analysis in one variable. Several Complex Variables and the Geometry of Real Hypersurfaces will be a useful text for advanced graduate students and professionals working in complex analysis.
Author | : John W. Dettman |
Publisher | : Courier Corporation |
Total Pages | : 512 |
Release | : 2012-05-07 |
Genre | : Mathematics |
ISBN | : 0486158284 |
Download Applied Complex Variables Book in PDF, ePub and Kindle
Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.