Download or read book Open Interval written by Lyrae Van Clief-Stefanon and published by University of Pittsburgh Press. This book was released on 2014-02-26 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing upon intersections of astronomy and mathematics, history, literature, and lived experience, the poems in Open Interval locate the self in the interval between body and name.

Download or read book Real Analysis Theory Of Measure And Integration 3rd Edition written by James J Yeh and published by World Scientific Publishing Company. This book was released on 2014-06-11 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.

Download or read book Mathematical Analysis written by S. C. Malik and published by New Age International. This book was released on 1992 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book Is Intended To Serve As A Text In Analysis By The Honours And Post-Graduate Students Of The Various Universities. Professional Or Those Preparing For Competitive Examinations Will Also Find This Book Useful.The Book Discusses The Theory From Its Very Beginning. The Foundations Have Been Laid Very Carefully And The Treatment Is Rigorous And On Modem Lines. It Opens With A Brief Outline Of The Essential Properties Of Rational Numbers And Using Dedekinds Cut, The Properties Of Real Numbers Are Established. This Foundation Supports The Subsequent Chapters: Topological Frame Work Real Sequences And Series, Continuity Differentiation, Functions Of Several Variables, Elementary And Implicit Functions, Riemann And Riemann-Stieltjes Integrals, Lebesgue Integrals, Surface, Double And Triple Integrals Are Discussed In Detail. Uniform Convergence, Power Series, Fourier Series, Improper Integrals Have Been Presented In As Simple And Lucid Manner As Possible And Fairly Large Number Solved Examples To Illustrate Various Types Have Been Introduced.As Per Need, In The Present Set Up, A Chapter On Metric Spaces Discussing Completeness, Compactness And Connectedness Of The Spaces Has Been Added. Finally Two Appendices Discussing Beta-Gamma Functions, And Cantors Theory Of Real Numbers Add Glory To The Contents Of The Book.

Download or read book General Topology written by Stephen Willard and published by Courier Corporation. This book was released on 2004-01-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.

Download or read book General Topology written by John L. Kelley and published by Springer Science & Business Media. This book was released on 1975-06-27 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate math students, this classic work is a systematic exposition of general topology and is intended to be a reference and a text. As a reference, it offers a reasonably complete coverage of the area, resulting in a more extended treatment than normally given in a course. As a text, the exposition in the earlier chapters proceeds at a pedestrian pace. A preliminary chapter covers those topics requisite to the main body of work.

Download or read book Real Analysis written by N. L. Carothers and published by Cambridge University Press. This book was released on 2000-08-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.

Download or read book Regular Variation written by N. H. Bingham and published by Cambridge University Press. This book was released on 1989-06-15 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of the theory and applications of regular variation.

Download or read book The Way of Analysis written by Robert S. Strichartz and published by Jones & Bartlett Learning. This book was released on 2000 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.

Download or read book Elementary Real and Complex Analysis written by Georgi E. Shilov and published by Courier Corporation. This book was released on 1996-01-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.

Download or read book Real Analysis written by A. Shabazz and published by Trafford Publishing. This book was released on 2006 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: You should not be intimidated by advanced calculus. It is just another logical subject, which can be tamed by a systematic, logical approach. This textbook proves it.

Download or read book Intermediate Mathematical Analysis written by Anthony E. Labarre and published by Courier Corporation. This book was released on 2008-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward those who have studied elementary calculus, this book stresses concepts rather than techniques. It prepares students for a first demanding course in analysis, dealing primarily with real-valued functions of a real variable. Complex numbers appear only in supplements and the last two chapters. 1968 edition.

Download or read book Study of Natural Class of Intervals Using and written by W. B. Vasantha Kandasamy, Florentin Smarandache, D. Datta, H. S. Kushwaha, P. A. Jadhav and published by Infinite Study. This book was released on 2011 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors introduce and study the properties of natural class of intervals built using (-, ) and (, -). The operations on these matrices with entries from natural class of intervals behave like usual reals. So working with these interval matrices takes the same time as usual matrices. Hence, when applying them to fuzzy finite element methods or finite element methods the determination of solution is simple and time saving.

Download or read book Differential Equations and Dynamical Systems written by Lawrence Perko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence bf interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mat!!ematics (TAM). The development of new courses is a natural consequence of a high level of excitement oil the research frontier as newer techniques, such as numerical and symbolic cotnputer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface to the Second Edition This book covers those topics necessary for a clear understanding of the qualitative theory of ordinary differential equations and the concept of a dynamical system. It is written for advanced undergraduates and for beginning graduate students. It begins with a study of linear systems of ordinary differential equations, a topic already familiar to the student who has completed a first course in differential equations.

Download or read book A First Course In Chaotic Dynamical Systems written by Robert L. Devaney and published by CRC Press. This book was released on 2020-04-21 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition The long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research involving these objects then centered around iterations of quadratic functions. This research has expanded to include all sorts of different types of functions, including higher-degree polynomials, rational maps, exponential and trigonometric functions, and many others. Several new sections in this edition are devoted to these topics. The area of dynamical systems covered in A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition is quite accessible to students and also offers a wide variety of interesting open questions for students at the undergraduate level to pursue. The only prerequisite for students is a one-year calculus course (no differential equations required); students will easily be exposed to many interesting areas of current research. This course can also serve as a bridge between the low-level, often non-rigorous calculus courses, and the more demanding higher-level mathematics courses. Features More extensive coverage of fractals, including objects like the Sierpinski carpet and others that appear as Julia sets in the later sections on complex dynamics, as well as an actual chaos "game." More detailed coverage of complex dynamical systems like the quadratic family and the exponential maps. New sections on other complex dynamical systems like rational maps. A number of new and expanded computer experiments for students to perform. About the Author Robert L. Devaney is currently professor of mathematics at Boston University. He received his PhD from the University of California at Berkeley under the direction of Stephen Smale. He taught at Northwestern University and Tufts University before coming to Boston University in 1980. His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.

Download or read book Essential Topology written by Martin D. Crossley and published by Springer Science & Business Media. This book was released on 2011-02-11 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.

Download or read book From Numbers to Analysis written by Inder K. Rana and published by World Scientific. This book was released on 1998 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is recommended to students and instructors looking for a very well-organized introduction to the foundations of analysis".Acta Sci. Math., 1999

Download or read book The Lord s Prayer written by Kwan-Yuk Claire Sit and published by SteinerBooks. This book was released on 2008-10 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Every moral deed and every physical action in human life is connected in the human heart. Only when we truly learn to understand the configuration of he human heart will we find the true fusion of these two parallel and independent phenomena: moral events and physical events." --Rudolf Steiner Today we know very little about the true nature of the human heart. Our knowledge arises only from a materialistic or an emotional standpoint. However, the human heart, as Rudolf Steiner knew and taught, is both spiritual and physical--the place where body and soul come together. It is the place of their unity. We have lost this knowledge, yet it is integral to the Western understanding of what gives humanity its vocation--our spiritual/physical, our earthly/heavenly nature. In this astonishing and inspiring book, Peter Selg focuses on the evolution of the spiritual understanding of the heart as transmitted through Aristotle, the Gospels, and Hebrew Scriptures to the Middle Ages, when, in the light of the Mystery of Golgotha and its sacramental life, it was synthesized and transformed by Thomas Aquinas, after whom, with the rise of modern science it, was lost until Goethe began a process of recovery and development that led to its complete renewal and transformation in Rudolf Steiner. The Mystery of the Heart tells this story in three parts. Part one, "The Anthropology of the Heart in the Gospels," examines the spiritual anthropology of the heart in the Gospels in the light of Ezekiel's prophetic saying: "I will give you a new heart and put a new spirit in you; I will remove from you your heart of stone and give you a living heart of flesh." Part two, "De Essentia et Motu Cordis," describes Aristotle's understanding of the heart and its transformation and deepening in Aquinas. Part three, "The Heart and the Fate of Humanity," examines the spiritual-scientific view of the heart as developed in Rudolf Steiner's teachings. Also included is an appendix containing selected meditative verses and therapeutic meditations for the heart. This volume was originally published in German by Verlag am Goetheanum 2003 as Mysterium cordis: Von der Mysterienstätte des Menschenherzens Studien zur sakramentalen Physiologie des Herzorgans. Aristoteles, Thomas von Aquin, Rudolf Steiner. Second edition in German, Verlag am Goetheanum 2006, Dornach, Switzerland.