The Theory of Functions of Real Variables

The Theory of Functions of Real Variables

Author: Lawrence M Graves

Publisher: Courier Corporation

Published: 2012-01-27

Total Pages: 361

ISBN-13: 0486158136

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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.


Applied Complex Variables

Applied Complex Variables

Author: John W. Dettman

Publisher: Courier Corporation

Published: 2012-05-07

Total Pages: 514

ISBN-13: 0486158284

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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.


Methods of the Theory of Functions of Many Complex Variables

Methods of the Theory of Functions of Many Complex Variables

Author: Vasiliy Sergeyevich Vladimirov

Publisher: Courier Corporation

Published: 2007-01-01

Total Pages: 370

ISBN-13: 0486458121

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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.


Research Methods and Statistics

Research Methods and Statistics

Author: Janie H. Wilson

Publisher: SAGE Publications

Published: 2016-07-21

Total Pages: 441

ISBN-13: 1483392163

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This innovative text offers a completely integrated approach to teaching research methods and statistics by presenting a research question accompanied by the appropriate methods and statistical procedures needed to address it. Research questions and designs become more complex as chapters progress, building on simpler questions to reinforce student learning. Using a conversational style and research examples from published works, this comprehensive book walks readers through the entire research process and includes ample pedagogical support for SPSS, Excel, and APA style.


Calculus of Several Variables

Calculus of Several Variables

Author: Serge Lang

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 624

ISBN-13: 1461210682

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This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.


Love and Other Unknown Variables

Love and Other Unknown Variables

Author: Shannon Lee Alexander

Publisher: Entangled: Teen

Published: 2014-10-07

Total Pages: 371

ISBN-13: 162266468X

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Charlie Hanson has a clear vision of his future. A senior at Brighton School of Mathematics and Science, he knows he'll graduate, go to MIT, and inevitably discover solutions to the universe's greatest unanswered questions. He's that smart. But Charlie's future blurs the moment he reaches out to touch the tattoo on a beautiful girl's neck. The future has never seemed very kind to Charlotte Finch, so she's counting on the present. She's not impressed by the strange boy at the donut shop—until she learns he's a student at Brighton where her sister has just taken a job as the English teacher. With her encouragement, Charlie orchestrates the most effective prank campaign in Brighton history... Now Charlie is falling hard for Charlotte—and faster than 32 feet per second squared. Her gravitational pull is quickly becoming irresistible. But Charlotte has a few secrets of her own...and it’s only a matter of time before Charlie’s carefully-executed future comes crashing down.


Sums of Independent Random Variables

Sums of Independent Random Variables

Author: V.V. Petrov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 360

ISBN-13: 3642658091

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The classic "Limit Dislribntions fOT slt1ns of Independent Ramdorn Vari ables" by B.V. Gnedenko and A.N. Kolmogorov was published in 1949. Since then the theory of summation of independent variables has devel oped rapidly. Today a summing-up of the studies in this area, and their results, would require many volumes. The monograph by I.A. Ibragi mov and Yu. V. I~innik, "Independent and Stationarily Connected VaTiables", which appeared in 1965, contains an exposition of the contem porary state of the theory of the summation of independent identically distributed random variables. The present book borders on that of Ibragimov and Linnik, sharing only a few common areas. Its main focus is on sums of independent but not necessarily identically distri buted random variables. It nevertheless includes a number of the most recent results relating to sums of independent and identically distributed variables. Together with limit theorems, it presents many probahilistic inequalities for sums of an arbitrary number of independent variables. The last two chapters deal with the laws of large numbers and the law of the iterated logarithm. These questions were not treated in Ibragimov and Linnik; Gnedenko and KolmogoTOv deals only with theorems on the weak law of large numbers. Thus this book may be taken as complementary to the book by Ibragimov and Linnik. I do not, however, assume that the reader is familiar with the latter, nor with the monograph by Gnedenko and Kolmogorov, which has long since become a bibliographical rarity


Several Real Variables

Several Real Variables

Author: Shmuel Kantorovitz

Publisher: Springer

Published: 2016-02-09

Total Pages: 317

ISBN-13: 3319279564

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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.


Complex Variables for Scientists and Engineers

Complex Variables for Scientists and Engineers

Author: John D. Paliouras

Publisher: Courier Corporation

Published: 2014-02-20

Total Pages: 612

ISBN-13: 0486493474

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Outstanding undergraduate text provides a thorough understanding of fundamentals and creates the basis for higher-level courses. Numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. 1990 edition.