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A Passage To Modern Analysis
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Book Synopsis A Passage to Modern Analysis by : William J. Terrell
Download or read book A Passage to Modern Analysis written by William J. Terrell and published by American Mathematical Soc.. This book was released on 2019-10-21 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Passage to Modern Analysis is an extremely well-written and reader-friendly invitation to real analysis. An introductory text for students of mathematics and its applications at the advanced undergraduate and beginning graduate level, it strikes an especially good balance between depth of coverage and accessible exposition. The examples, problems, and exposition open up a student's intuition but still provide coverage of deep areas of real analysis. A yearlong course from this text provides a solid foundation for further study or application of real analysis at the graduate level. A Passage to Modern Analysis is grounded solidly in the analysis of R and Rn, but at appropriate points it introduces and discusses the more general settings of inner product spaces, normed spaces, and metric spaces. The last five chapters offer a bridge to fundamental topics in advanced areas such as ordinary differential equations, Fourier series and partial differential equations, Lebesgue measure and the Lebesgue integral, and Hilbert space. Thus, the book introduces interesting and useful developments beyond Euclidean space where the concepts of analysis play important roles, and it prepares readers for further study of those developments.
Book Synopsis A Course of Modern Analysis by : E. T. Whittaker
Download or read book A Course of Modern Analysis written by E. T. Whittaker and published by Cambridge University Press. This book was released on 1927 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.
Book Synopsis De Motu and the Analyst by : G. Berkeley
Download or read book De Motu and the Analyst written by G. Berkeley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz.
Book Synopsis Mathematical Dissertations, for the Use of Students in the Modern Analysis by : John Radford Young
Download or read book Mathematical Dissertations, for the Use of Students in the Modern Analysis written by John Radford Young and published by . This book was released on 1841 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course of Modern Analysis by : Edmund Taylor Whittaker
Download or read book A Course of Modern Analysis written by Edmund Taylor Whittaker and published by . This book was released on 1920 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course of Modern Analysis by : E. T. Whittaker
Download or read book A Course of Modern Analysis written by E. T. Whittaker and published by Cambridge University Press. This book was released on 1996-09-13 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.
Book Synopsis Cubature Formulas & Modern Analysis by : Igor Sobolev
Download or read book Cubature Formulas & Modern Analysis written by Igor Sobolev and published by CRC Press. This book was released on 1993-04-15 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the Russian revised and updated 1988 edition. Cubature formulas, for calculating the volumes of bodies in multidimensional space, were named by analogy with quadrature formulas, used to calculate the areas of plane figures. Topics include basic concepts and formulations, the polyharmonic equation, simple problems of the theory of computations, order of convergence of cubature formulas, considering a regular boundary layer, optimal formulas, and formulas for rational polyhedra. Annotation copyright by Book News, Inc., Portland, OR
Book Synopsis Classical Fourier Analysis by : Loukas Grafakos
Download or read book Classical Fourier Analysis written by Loukas Grafakos and published by Springer Science & Business Media. This book was released on 2008-09-18 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online
Book Synopsis Function Spaces in Modern Analysis by : Krzysztof Jarosz
Download or read book Function Spaces in Modern Analysis written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 2011-07-18 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Sixth Conference on Function Spaces, which was held from May 18-22, 2010, at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.
Book Synopsis Introduction to Analysis in One Variable by : Michael E. Taylor
Download or read book Introduction to Analysis in One Variable written by Michael E. Taylor and published by American Mathematical Soc.. This book was released on 2020-08-11 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Analysis in Several Variables: Advanced Calculus by : Michael E. Taylor
Download or read book Introduction to Analysis in Several Variables: Advanced Calculus written by Michael E. Taylor and published by American Mathematical Soc.. This book was released on 2020-07-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text was produced for the second part of a two-part sequence on advanced calculus, whose aim is to provide a firm logical foundation for analysis. The first part treats analysis in one variable, and the text at hand treats analysis in several variables. After a review of topics from one-variable analysis and linear algebra, the text treats in succession multivariable differential calculus, including systems of differential equations, and multivariable integral calculus. It builds on this to develop calculus on surfaces in Euclidean space and also on manifolds. It introduces differential forms and establishes a general Stokes formula. It describes various applications of Stokes formula, from harmonic functions to degree theory. The text then studies the differential geometry of surfaces, including geodesics and curvature, and makes contact with degree theory, via the Gauss–Bonnet theorem. The text also takes up Fourier analysis, and bridges this with results on surfaces, via Fourier analysis on spheres and on compact matrix groups.
Book Synopsis Passage to Modernity by : Louis K. Dupré
Download or read book Passage to Modernity written by Louis K. Dupré and published by Yale University Press. This book was released on 1993-01-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did modernity begin with the Renaissance and end with post-modernism? Dupre challenges both these assumptions, discussing the roots, development and impact of modern thought and tracing the principles of modernity to the late 14th century.
Book Synopsis The Surprising Mathematics of Longest Increasing Subsequences by : Dan Romik
Download or read book The Surprising Mathematics of Longest Increasing Subsequences written by Dan Romik and published by Cambridge University Press. This book was released on 2015-02-02 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents for the first time to a graduate-level readership recent groundbreaking developments in probability and combinatorics related to the longest increasing subsequence problem. Its detailed, playful presentation provides a motivating entry to elegant mathematical ideas that are of interest to every mathematician and to many computer scientists, physicists, and statisticians.
Book Synopsis Modern Analysis of Customer Surveys by : Ron S. Kenett
Download or read book Modern Analysis of Customer Surveys written by Ron S. Kenett and published by John Wiley & Sons. This book was released on 2012-01-30 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Customer survey studies deals with customers, consumers and user satisfaction from a product or service. In practice, many of the customer surveys conducted by business and industry are analyzed in a very simple way, without using models or statistical methods. Typical reports include descriptive statistics and basic graphical displays. As demonstrated in this book, integrating such basic analysis with more advanced tools, provides insights on non-obvious patterns and important relationships between the survey variables. This knowledge can significantly affect the conclusions derived from a survey. Key features: Provides an integrated, case-studies based approach to analysing customer survey data. Presents a general introduction to customer surveys, within an organization’s business cycle. Contains classical techniques with modern and non standard tools. Focuses on probabilistic techniques from the area of statistics/data analysis and covers all major recent developments. Accompanied by a supporting website containing datasets and R scripts. Customer survey specialists, quality managers and market researchers will benefit from this book as well as specialists in marketing, data mining and business intelligence fields.
Book Synopsis Linear Algebra by : Michael E. Taylor
Download or read book Linear Algebra written by Michael E. Taylor and published by American Mathematical Soc.. This book was released on 2020-07-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text develops linear algebra with the view that it is an important gateway connecting elementary mathematics to more advanced subjects, such as advanced calculus, systems of differential equations, differential geometry, and group representations. The purpose of this book is to provide a treatment of this subject in sufficient depth to prepare the reader to tackle such further material. The text starts with vector spaces, over the sets of real and complex numbers, and linear transformations between such vector spaces. Later on, this setting is extended to general fields. The reader will be in a position to appreciate the early material on this more general level with minimal effort. Notable features of the text include a treatment of determinants, which is cleaner than one often sees, and a high degree of contact with geometry and analysis, particularly in the chapter on linear algebra on inner product spaces. In addition to studying linear algebra over general fields, the text has a chapter on linear algebra over rings. There is also a chapter on special structures, such as quaternions, Clifford algebras, and octonions.
Author :Halsey Royden Publisher :Pearson Modern Classics for Advanced Mathematics Series ISBN 13 :9780134689494 Total Pages :0 pages Book Rating :4.6/5 (894 download)
Book Synopsis Real Analysis (Classic Version) by : Halsey Royden
Download or read book Real Analysis (Classic Version) written by Halsey Royden and published by Pearson Modern Classics for Advanced Mathematics Series. This book was released on 2017-02-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.
Book Synopsis Introduction to Differential Equations: Second Edition by : Michael E. Taylor
Download or read book Introduction to Differential Equations: Second Edition written by Michael E. Taylor and published by American Mathematical Soc.. This book was released on 2021-10-21 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces students to the theory and practice of differential equations, which are fundamental to the mathematical formulation of problems in physics, chemistry, biology, economics, and other sciences. The book is ideally suited for undergraduate or beginning graduate students in mathematics, and will also be useful for students in the physical sciences and engineering who have already taken a three-course calculus sequence. This second edition incorporates much new material, including sections on the Laplace transform and the matrix Laplace transform, a section devoted to Bessel's equation, and sections on applications of variational methods to geodesics and to rigid body motion. There is also a more complete treatment of the Runge-Kutta scheme, as well as numerous additions and improvements to the original text. Students finishing this book will be well prepare
