Twelve Landmarks Of Twentieth Century Analysis
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Author | : D. Choimet |
Publisher | : Cambridge University Press |
Total Pages | : 525 |
Release | : 2015-07-15 |
Genre | : Mathematics |
ISBN | : 1316352137 |
The striking theorems showcased in this book are among the most profound results of twentieth-century analysis. The authors' original approach combines rigorous mathematical proofs with commentary on the underlying ideas to provide a rich insight into these landmarks in mathematics. Results ranging from the proof of Littlewood's conjecture to the Banach–Tarski paradox have been selected for their mathematical beauty as well as educative value and historical role. Placing each theorem in historical perspective, the authors paint a coherent picture of modern analysis and its development, whilst maintaining mathematical rigour with the provision of complete proofs, alternative proofs, worked examples, and more than 150 exercises and solution hints. This edition extends the original French edition of 2009 with a new chapter on partitions, including the Hardy–Ramanujan theorem, and a significant expansion of the existing chapter on the Corona problem.
Author | : Daniel Li |
Publisher | : Cambridge University Press |
Total Pages | : 405 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 1107162629 |
This second volume of a two-volume overview focuses on the applications of Banach spaces and recent developments in the field.
Author | : Daniel Li |
Publisher | : Cambridge University Press |
Total Pages | : 463 |
Release | : 2017-11-02 |
Genre | : Mathematics |
ISBN | : 110829815X |
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Author | : Daniel Li |
Publisher | : Cambridge University Press |
Total Pages | : 405 |
Release | : 2017-11-02 |
Genre | : Mathematics |
ISBN | : 1108298168 |
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Author | : Richard Beals |
Publisher | : Springer Nature |
Total Pages | : 353 |
Release | : 2020-10-19 |
Genre | : Mathematics |
ISBN | : 3030545334 |
This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give rise to Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.
Author | : Martin Rice |
Publisher | : Taylor & Francis |
Total Pages | : 473 |
Release | : 2024-06-01 |
Genre | : Medical |
ISBN | : 1040143490 |
In this new edition, Dr. George Tomlin joins Dr. Martin S. Rice and Dr. Franklin Stein to add expertise and knowledge of the occupational therapy field. With the combined knowledge and skills of the authors Clinical Research in Occupational Therapy, Sixth Edition includes many valuable updates and enables the graduate student and clinical researcher to carry out a research study from the formulation of a research hypothesis to collecting, analyzing, and interpreting data in user-friendly, step-by-step procedures. This Sixth Edition brings noteworthy changes, improvements, and enhancements, including the following: A thorough update of the published research in occupational therapy and health care Major revisions in all the chapters The addition of a new chapter on single-case experimental research Updated research boxes and contemporary examples of both quantitative and qualitative research Updated compilation of tests and evaluations used by occupation therapists in research studies as outcome instruments and for clinical assessments Revision and additions to the glossary of terms and statistics Updated examples of the institutional review board application forms Updated landmarks in the history of occupational therapy Updated interfacing example with a popular statistical software, including data organization analysis and interpretation Updated statistical tables Clinical Research in Occupational Therapy, Sixth Edition is a valuable resource for students, clinicians and researchers. The text can be used as a complete self-tutorial that provides the reader with the knowledge and skills to design and carry out a research project, from hypothesis through data collection and analysis. The text is written to help the reader evaluate the quality and rigor of research studies. The Sixth Edition incorporates recent research in occupational therapy to help the reader design a feasible research project and understand and appreciate the literature of the field.
Author | : Phil Barker |
Publisher | : CRC Press |
Total Pages | : 780 |
Release | : 2017-07-20 |
Genre | : Medical |
ISBN | : 1444166492 |
The concept of "the craft of caring" dictates that the basis of good nursing practice is a combination of both art and science, encouraging nurses to take a holistic approach to the practice of psychiatric and mental health nursing. Supported by relevant theory, research, policy, and philosophy, this volume reflects current developments in nursing practice and the understanding of mental health disorders. The book includes case studies of patients with anxiety, schizophrenia, and bipolar disorder as well as victims of sexual abuse, those with an eating disorder, homeless patients, and those with dementia and autism.
Author | : |
Publisher | : |
Total Pages | : 712 |
Release | : 1982 |
Genre | : Music |
ISBN | : |
Author | : Thomas C. Jester |
Publisher | : Getty Publications |
Total Pages | : 354 |
Release | : 2014-08-01 |
Genre | : Architecture |
ISBN | : 1606063251 |
Over the concluding decades of the twentieth century, the historic preservation community increasingly turned its attention to modern buildings, including bungalows from the 1930s, gas stations and diners from the 1940s, and office buildings and architectural homes from the 1950s. Conservation efforts, however, were often hampered by a lack of technical information about the products used in these structures, and to fill this gap Twentieth-Century Building Materials was developed by the U.S. Department of the Interior’s National Park Service and first published in 1995. Now, this invaluable guide is being reissued—with a new preface by the book’s original editor. With more than 250 illustrations, including a full-color photographic essay, the volume remains an indispensable reference on the history and conservation of modern building materials. Thirty-seven essays written by leading experts offer insights into the history, manufacturing processes, and uses of a wide range of materials, including glass block, aluminum, plywood, linoleum, and gypsum board. Readers will also learn about how these materials perform over time and discover valuable conservation and repair techniques. Bibliographies and sources for further research complete the volume. The book is intended for a wide range of conservation professionals including architects, engineers, conservators, and material scientists engaged in the conservation of modern buildings, as well as scholars in related disciplines.
Author | : Bruce S. Thornton |
Publisher | : Open Road Media |
Total Pages | : 171 |
Release | : 2014-05-13 |
Genre | : Political Science |
ISBN | : 1497648939 |
A stirring and sobering diagnosis of the challenges that confront anyone laboring to renew America’s tradition of ordered liberty. Classicist Bruce Thornton’s Plagues of the Mind is a forceful vindication of the West’s tradition of rational, critical inquiry—a legacy now largely jettisoned in favor of a host of new deities, environmentalism, feminism, primitivism, New Age, and the cult of the therapeutic among them.