Download or read book Principles of Analysis written by Hugo D. Junghenn and published by CRC Press. This book was released on 2018-04-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers’ benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis. The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter . Features: Contains direct and concise proofs with attention to detail Features a substantial variety of interesting and nontrivial examples Includes nearly 700 exercises ranging from routine to challenging with hints for the more difficult exercises Provides an eclectic set of special topics and applications About the Author: Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability.
Download or read book On the General Principles of Analysis written by John Radford Young and published by . This book was released on 1850 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the General Principles of Analysis The Analysis of Numerical Equations written by John Radford YOUNG and published by . This book was released on 1850 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles of Real Analysis written by Charalambos D. Aliprantis and published by Gulf Professional Publishing. This book was released on 1998-08-26 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new, Third Edition of this successful text covers the basic theory of integration in a clear, well-organized manner. The authors present an imaginative and highly practical synthesis of the "Daniell method" and the measure theoretic approach. It is the ideal text for undergraduate and first-year graduate courses in real analysis. This edition offers a new chapter on Hilbert Spaces and integrates over 150 new exercises. New and varied examples are included for each chapter. Students will be challenged by the more than 600 exercises. Topics are treated rigorously, illustrated by examples, and offer a clear connection between real and functional analysis. This text can be used in combination with the authors' Problems in Real Analysis, 2nd Edition, also published by Academic Press, which offers complete solutions to all exercises in the Principles text. Key Features: * Gives a unique presentation of integration theory * Over 150 new exercises integrated throughout the text * Presents a new chapter on Hilbert Spaces * Provides a rigorous introduction to measure theory * Illustrated with new and varied examples in each chapter * Introduces topological ideas in a friendly manner * Offers a clear connection between real analysis and functional analysis * Includes brief biographies of mathematicians "All in all, this is a beautiful selection and a masterfully balanced presentation of the fundamentals of contemporary measure and integration theory which can be grasped easily by the student." --J. Lorenz in Zentralblatt für Mathematik "...a clear and precise treatment of the subject. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use." --CASPAR GOFFMAN, Department of Mathematics, Purdue University
Download or read book Principles of Analytical Chemistry written by Miguel Valcarcel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Analytical Chemistry gives readers a taste of what the field is all about. Using keywords of modern analytical chemistry, it constructs an overview of the discipline, accessible to readers pursuing different scientific and technical studies. In addition to the extremely easy-to-understand presentation, practical exercises, questions, and lessons expound a large number of examples.
Download or read book Principles of Functional Analysis written by Martin Schechter and published by American Mathematical Soc.. This book was released on 2001-11-13 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent book provides an elegant introduction to functional analysis ... carefully selected problems ... This is a nicely written book of great value for stimulating active work by students. It can be strongly recommended as an undergraduate or graduate text, or as a comprehensive book for self-study. --European Mathematical Society Newsletter Functional analysis plays a crucial role in the applied sciences as well as in mathematics. It is a beautiful subject that can be motivated and studied for its own sake. In keeping with this basic philosophy, the author has made this introductory text accessible to a wide spectrum of students, including beginning-level graduates and advanced undergraduates. The exposition is inviting, following threads of ideas, describing each as fully as possible, before moving on to a new topic. Supporting material is introduced as appropriate, and only to the degree needed. Some topics are treated more than once, according to the different contexts in which they arise. The prerequisites are minimal, requiring little more than advanced calculus and no measure theory. The text focuses on normed vector spaces and their important examples, Banach spaces and Hilbert spaces. The author also includes topics not usually found in texts on the subject. This Second Edition incorporates many new developments while not overshadowing the book's original flavor. Areas in the book that demonstrate its unique character have been strengthened. In particular, new material concerning Fredholm and semi-Fredholm operators is introduced, requiring minimal effort as the necessary machinery was already in place. Several new topics are presented, but relate to only those concepts and methods emanating from other parts of the book. These topics include perturbation classes, measures of noncompactness, strictly singular operators, and operator constants. Overall, the presentation has been refined, clarified, and simplified, and many new problems have been added. The book is recommended to advanced undergraduates, graduate students, and pure and applied research mathematicians interested in functional analysis and operator theory.
Download or read book General Principles and Manipulation of Quantitative Chemical Analysis written by Charles William Foulk and published by . This book was released on 1914 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book General Principles of Law The Role of the Judiciary written by Laura Pineschi and published by Springer. This book was released on 2015-06-22 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the role played by domestic and international judges in the “flexibilization” of legal systems through general principles. It features revised papers that were presented at the Annual Conference of the European-American Consortium for Legal Education, held at the University of Parma, Italy, May 2014. This volume is organized in four sections, where the topic is mainly explored from a comparative perspective, and includes case studies. The first section covers theoretical issues. It offers an analysis of principles in shaping Dworkin’s theories about international law, a reflection on the role of procedural principles in defining the role of the judiciary, a view on the role of general principles in transnational judicial communication, a study on the recognition of international law from formal criteria to substantive principles, and an inquiry from the viewpoint of neo-constitutionalism. The second section contains studies on the role of general principles in selected legal systems, including International Law, European Union Law as well as Common Law systems. The third section features an analysis of select legal principles in a comparative perspective, with a particular focus on the comparison between European and American experiences. The fourth and last section explores selected principles in given areas of law, including the misuse of the lex specialis principle in the relationship between international human rights law and international humanitarian law, the role of the judiciary in Poland as regards discrimination for sexual orientation, and the impact of the ECtHR case law on Italian criminal law with regard to the principle of legality. Overall, the book offers readers a thoughtful reflection on how the interpretation, application, and development of general principles of law by the judiciary contribute to the evolution of legal systems at both the domestic and international levels as well as further their reciprocal interactions.
Download or read book General Principles of Quantum Field Theory written by N.N. Bogolubov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.
Download or read book Principles of Program Analysis written by Flemming Nielson and published by Springer. This book was released on 2015-02-27 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Program analysis utilizes static techniques for computing reliable information about the dynamic behavior of programs. Applications include compilers (for code improvement), software validation (for detecting errors) and transformations between data representation (for solving problems such as Y2K). This book is unique in providing an overview of the four major approaches to program analysis: data flow analysis, constraint-based analysis, abstract interpretation, and type and effect systems. The presentation illustrates the extensive similarities between the approaches, helping readers to choose the best one to utilize.
Download or read book Principles of Harmonic Analysis written by Anton Deitmar and published by Springer. This book was released on 2014-06-21 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.
Download or read book Applied Functional Analysis written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.
Download or read book EXAFS Basic Principles and Data Analysis written by Boon K. Teo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phenomenon of Extended X-Ray Absorption Fine Structure (EXAFS) has been known for some time and was first treated theoretically by Kronig in the 1930s. Recent developments, initiated by Sayers, Stern, and Lytle in the early 1970s, have led to the recognition of the structural content of this technique. At the same time, the availability of synchrotron radiation has greatly improved both the acquisition and the quality of the EXAFS data over those obtainable from conventional X-ray sources. Such developments have established EXAFS as a powerful tool for structure studies. EXAFS has been successfully applied to a wide range of significant scientific and technological systems in many diverse fields such as inorganic chemistry, biochemistry, catalysis, material sciences, etc. It is extremely useful for systems where single-crystal diffraction techniques are not readily applicable (e.g., gas, liquid, solution, amorphous and polycrystalline solids, surfaces, polymer, etc.). Despite the fact that the EXAFS technique and applications have matured tremendously over the past decade or so, no introductory textbook exists. EXAFS: Basic Principles and Data Analysis represents my modest attempt to fill such a gap. In this book, I aim to introduce the subject matter to the novice and to help alleviate the confusion in EXAFS data analysis, which, although becoming more and more routine, is still a rather tricky endeavor and may, at times, discourage the beginners.
Download or read book A Treatise on the General Principles of Chemical Analysis written by Louis Jacques baron Thénard and published by . This book was released on 1818 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific Research in Education written by National Research Council and published by National Academies Press. This book was released on 2002-03-28 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers, historians, and philosophers of science have debated the nature of scientific research in education for more than 100 years. Recent enthusiasm for "evidence-based" policy and practice in educationâ€"now codified in the federal law that authorizes the bulk of elementary and secondary education programsâ€"have brought a new sense of urgency to understanding the ways in which the basic tenets of science manifest in the study of teaching, learning, and schooling. Scientific Research in Education describes the similarities and differences between scientific inquiry in education and scientific inquiry in other fields and disciplines and provides a number of examples to illustrate these ideas. Its main argument is that all scientific endeavors share a common set of principles, and that each fieldâ€"including education researchâ€"develops a specialization that accounts for the particulars of what is being studied. The book also provides suggestions for how the federal government can best support high-quality scientific research in education.
Download or read book On the General Principles Analysis Vol 1 written by J. R. Young and published by Forgotten Books. This book was released on 2018-02-03 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the General Principles Analysis, Vol. 1: Being a Series of Original Investigations in Different Departments of Pure Mathematics It seems to me to be a libel upon mathematical science to pronounce any of its departments to be inherently too difficult and recondite for the comprehension of a mind thus trained and prepared. Analysis is too frequently and too unjustly branded with this stigma, when the reproach more properly belongs to those who are the exponents of its doctrines. If superior clear ness and perspicuity can reasonably be looked for in any subject, surely that subject is mathematics: and yet no department of scientific research can be adduced which is enveloped in so much unnatural and repulsive Obscurity as the science of abstract analysis. Still, however, I must acknowledge, that this fault is not always without its advantages what is of easy attainment is Often undervalued; and, in the minds of some, the only way to enhance the estimate is to increase the difficulty of access. It was, no doubt, a conviction of this truth, that influenced Mr. Horner to invest his important discovery of the general solution of numerical equations, in the dress in which it appears in the 'transactions of the Royal Society.' With admirable tact and sagacity, he shrouded a very simple matter in a garb of transcen dental mystery; but, as soon as his primary Object was secured, the object, namely, of the early publication of his results, under the auspices of a learned body, he proceeded to strip the subject of its unnatural disguise, and to exhibit it in all its native simplicity. From these introductory remarks, it will be perceived, that my object will be to convey the contents Of this volume to the reader with as little expenditure of thought and labour, on his part, as he can reasonably expect to incur in the perusal. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book General Principles and the Coherence of International Law written by Mads Andenas and published by BRILL. This book was released on 2019-05-20 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Principles and the Coherence of International Law offers a comprehensive analysis of general principles of law, assessing their role in guaranteeing the coherence of the international legal system.
