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This accessible text covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems, and the theory of partial differential equations. The treatment of Hilbert spaces covers the topics required to prove the Hilbert-Schmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces and their duals includes the Hahn-Banach theorem, the Krein-Milman theorem, and results based on the Baire category theorem, before culminating in a proof of sequential weak compactness in reflexive spaces. Arguments are presented in detail, and more than 200 fully-worked exercises are included to provide practice applying techniques and ideas beyond the major theorems. Familiarity with the basic theory of vector spaces and point-set topology is assumed, but
Produkt An Introduction to Functional Analysis (Robinson James C.)(Paperback) označuje EAN kód 9780521728393.
Kategorie | Knihy |
EAN | 9780521728393 |
This accessible text covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems, and the theory of partial differential equations. The treatment of Hilbert spaces covers the topics required to prove the Hilbert-Schmidt
A comprehensive introduction to modern applied statistical genetic data analysis, accessible to those without a background in molecular biology or genetics.Human genetic research is now relevant beyond biology, epidemiology, and the medical sciences, with applications in such fields as psychology,
This bestselling textbook is the ideal companion to An Introduction to Discourse Analysis: Theory and Method, by leading author, James Paul Gee. Using a practical how-to approach, Gee provides the tools necessary to work with discourse analysis, with engaging step-by-step tasks featured throughout
In this new edition published by SAGE, An Introduction to Transactional Analysis introduces the theory and practice of Transactional Analysis (TA) which integrates cognitive behavioral and psychodynamic theories within a humanistic philosophy. While most TA books focus on one field, this approach
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Discourse analysis considers how language, both spoken and written, enacts social and cultural perspectives and identities. Assuming no prior knowledge of linguistics, An Introduction to Discourse Analysis examines the field and presents James Paul Gee's unique integrated approach which
In World-Systems Analysis, Immanuel Wallerstein provides a concise and accessible introduction to the comprehensive approach that he pioneered thirty years ago to understanding the history and development of the modern world. Since Wallerstein first developed world-systems analysis, it has become a
This textbook is a systematic and straightforward introduction to the interdisciplinary study of creativity. Each chapter is written by one or more of the world's experts and features the latest research developments, alongside foundational knowledge. Each chapter also includes an introduction, key
This book, Introduction to Islamic Banking and Finance: An Economic Analysis, covers the basic principles of Islamic economics and finance. It discusses both the theory of Islamic economics and finance as well as the applications in the design of instruments of finance as well as Islamic financial
Fundamentals of operators and matrices.- Mappings and algebras.- Functional calculus and derivation.- Matrix monotone functions and convexity.- Matrix means and inequalities.- Majorization and singular values.- Some
Divine Teaching: An Introduction to Christian Theology is an imaginative and lively analysis of the Christian way of thinking, offering vivid and informing insight into the history and practice of Christian theology. An innovative textbook offering a complete and dedicated guide to understanding
This book is an introduction to stochastic analysis and quantitative finance; Stochastic Analysis for Finance with Simulations is designed for readers who want to have a deeper understanding of the delicate theory of quantitative finance by doing computer simulations in addition to theoretical
The History of English: An Introduction provides a chronological analysis of the linguistic, social, and cultural development of the English language from before its establishment in Britain around the year 450 to the present. Each chapter represents a new stage in the development of the language
The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces
An outstanding introduction to tensor analysis for physics and engineering students, this text admirably covers the expected topics in a careful step-by-step manner. In addition to the standard vector analysis of Gibbs, including dyadic or tensors of valence two, the treatment also supplies an
Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis.Suitable
Providing students with an introduction to the fundamentals of analysis, this book continues to present the fundamental concepts of analysis in as painless a manner as possible. To achieve this aim, the second edition has made many improvements in
Covering the general process of data analysis to finding, collecting, organizing, and presenting data, this book offers a complete introduction to the fundamentals of data analysis. Using real-world case studies as illustrations, it helps readers understand theories behind and develop techniques
Literary Analysis: The Basics is an insightful introduction to analysing a wide range of literary forms. Providing a clear outline of the methodologies employed in twenty-first century literary analysis, it introduces readers to the genres, canons, terms, issues, critical approaches, and contexts
Psychoneuroimmunology is the first textbook to examine the complex functional relationships between the nervous system, the neuroendocrine and the immune system. The international leaders in this field have been brought together to create this pioneering text; each contributing from their area of