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Author: Emmanuele DiBenedetto Publisher: Birkhäuser ISBN: 1493940058 Category : Mathematics Languages : en Pages : 621
Book Description
The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics. Written in a clear and concise style, it covers all of the necessary subjects as well as those often absent from standard introductory texts. Each chapter features a “Problems and Complements” section that includes additional material that briefly expands on certain topics within the chapter and numerous exercises for practicing the key concepts. The first eight chapters explore all of the basic topics for training in real analysis, beginning with a review of countable sets before moving on to detailed discussions of measure theory, Lebesgue integration, Banach spaces, functional analysis, and weakly differentiable functions. More topical applications are discussed in the remaining chapters, such as maximal functions, functions of bounded mean oscillation, rearrangements, potential theory, and the theory of Sobolev functions. This second edition has been completely revised and updated and contains a variety of new content and expanded coverage of key topics, such as new exercises on the calculus of distributions, a proof of the Riesz convolution, Steiner symmetrization, and embedding theorems for functions in Sobolev spaces. Ideal for either classroom use or self-study, Real Analysis is an excellent textbook both for students discovering real analysis for the first time and for mathematicians and researchers looking for a useful resource for reference or review. Praise for the First Edition: “[This book] will be extremely useful as a text. There is certainly enough material for a year-long graduate course, but judicious selection would make it possible to use this most appealing book in a one-semester course for well-prepared students.” —Mathematical Reviews
Author: Emmanuele DiBenedetto Publisher: Birkhäuser ISBN: 1493940058 Category : Mathematics Languages : en Pages : 621
Book Description
The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics. Written in a clear and concise style, it covers all of the necessary subjects as well as those often absent from standard introductory texts. Each chapter features a “Problems and Complements” section that includes additional material that briefly expands on certain topics within the chapter and numerous exercises for practicing the key concepts. The first eight chapters explore all of the basic topics for training in real analysis, beginning with a review of countable sets before moving on to detailed discussions of measure theory, Lebesgue integration, Banach spaces, functional analysis, and weakly differentiable functions. More topical applications are discussed in the remaining chapters, such as maximal functions, functions of bounded mean oscillation, rearrangements, potential theory, and the theory of Sobolev functions. This second edition has been completely revised and updated and contains a variety of new content and expanded coverage of key topics, such as new exercises on the calculus of distributions, a proof of the Riesz convolution, Steiner symmetrization, and embedding theorems for functions in Sobolev spaces. Ideal for either classroom use or self-study, Real Analysis is an excellent textbook both for students discovering real analysis for the first time and for mathematicians and researchers looking for a useful resource for reference or review. Praise for the First Edition: “[This book] will be extremely useful as a text. There is certainly enough material for a year-long graduate course, but judicious selection would make it possible to use this most appealing book in a one-semester course for well-prepared students.” —Mathematical Reviews
Author: Patricia Kennedy Grimsted Publisher: Routledge ISBN: 1317476530 Category : Literary Criticism Languages : en Pages : 2244
Book Description
This is a comprehensive directory and bibliographic guide to Russian archives and manuscript repositories in the capital cities of Moscow and St. Petersburg. It is an essential resource for any researcher interested in Russian sources for topics in diplomatic, military, and church history; art; dance; film; literature; science; ethnolography; and geography. The first part lists general bibliographies of relevant reference literature, directories, bibliographic works, and specialized subject-related sources. In the following sections of the directory, archival listings are grouped in institutional categories. Coverage includes federal, ministerial, agency, presidential, local, university, Academy of Sciences, organizational, library, and museum holdings. Individual entries include the name of the repository (in Russian and English), basic information on location, staffing, institutional history, holdings, access, and finding aids. More comprehensive and up-to-date than the 1997 Russian Version, this edition includes Web-site information, dozens of additional repositories, several hundred more bibliographical entries, coverage of reorganization issues, four indexes, and a glossary.
Author: Félix Cabello Sánchez Publisher: Cambridge University Press ISBN: 1108807887 Category : Mathematics Languages : en Pages : 562
Book Description
Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their field and new tools to tackle its problems. All techniques and constructions from homological algebra and category theory are introduced from scratch and illustrated with concrete examples at varying levels of sophistication. These techniques are then used to present both important classical results and powerful advances from recent years. Finally, the authors apply them to solve many old and new problems in the theory of (quasi-) Banach spaces and outline new lines of research. Containing a lot of material unavailable elsewhere in the literature, this book is the definitive resource for functional analysts who want to know what homological algebra can do for them.
Author: J.M. Aarts Publisher: Elsevier ISBN: 0080887619 Category : Mathematics Languages : en Pages : 347
Book Description
Two types of seemingly unrelated extension problems are discussed in this book. Their common focus is a long-standing problem of Johannes de Groot, the main conjecture of which was recently resolved. As is true of many important conjectures, a wide range of mathematical investigations had developed, which have been grouped into the two extension problems. The first concerns the extending of spaces, the second concerns extending the theory of dimension by replacing the empty space with other spaces.The problem of de Groot concerned compactifications of spaces by means of an adjunction of a set of minimal dimension. This minimal dimension was called the compactness deficiency of a space. Early success in 1942 lead de Groot to invent a generalization of the dimension function, called the compactness degree of a space, with the hope that this function would internally characterize the compactness deficiency which is a topological invariant of a space that is externally defined by means of compact extensions of a space. From this, the two extension problems were spawned.With the classical dimension theory as a model, the inductive, covering and basic aspects of the dimension functions are investigated in this volume, resulting in extensions of the sum, subspace and decomposition theorems and theorems about mappings into spheres. Presented are examples, counterexamples, open problems and solutions of the original and modified compactification problems.
Author: Steven R. Serafin Publisher: A&C Black ISBN: 9780826417770 Category : Literary Criticism Languages : en Pages : 1340
Book Description
More than ten years in the making, this comprehensive single-volume literary survey is for the student, scholar, and general reader. The Continuum Encyclopedia of American Literature represents a collaborative effort, involving 300 contributors from across the US and Canada. Composed of more than 1,100 signed biographical-critical entries, this Encyclopedia serves as both guide and companion to the study and appreciation of American literature. A special feature is the topical article, of which there are 70.
Author: Iickho Song Publisher: Springer Nature ISBN: 3030976793 Category : Mathematics Languages : en Pages : 506
Book Description
This book discusses diverse concepts and notions – and their applications – concerning probability and random variables at the intermediate to advanced level. It explains basic concepts and results in a clearer and more complete manner than the extant literature. In addition to a range of concepts and notions concerning probability and random variables, the coverage includes a number of key advanced concepts in mathematics. Readers will also find unique results on e.g. the explicit general formula of joint moments and the expected values of nonlinear functions for normal random vectors. In addition, interesting applications of the step and impulse functions in discussions on random vectors are presented. Thanks to a wealth of examples and a total of 330 practice problems of varying difficulty, readers will have the opportunity to significantly expand their knowledge and skills. The book is rounded out by an extensive index, allowing readers to quickly and easily find what they are looking for. Given its scope, the book will appeal to all readers with a basic grasp of probability and random variables who are looking to go one step further. It also offers a valuable reference guide for experienced scholars and professionals, helping them review and refine their expertise.
Author: Muriel Lightbourne Publisher: Routledge ISBN: 1317134265 Category : Law Languages : en Pages : 329
Book Description
This volume advances the claim that the FAO International Treaty on Plant Genetic Resources for Food and Agriculture (ITPGRFA) adopted in 2001 is the only existing international agreement with the potential to promote food security, conservation of biodiversity and equity. However, for germplasm-rich countries, national interests come into conflict with the global interest. This work shows that the pursuit of national interests is counterproductive when it comes to maintaining genetic resources, food-security and rent-seeking and that optimally, the coverage of the FAO Treaty should be widened to apply to all crops.
Author: Emmanuele DiBenedetto
Author: Emmanuele DiBenedetto
Author: Patricia Kennedy Grimsted
Author: George Grove
Author: Félix Cabello Sánchez
Author: J.M. Aarts
Author: Steven R. Serafin
Author: T. E. S. Clarke
Author: Iickho Song
Author: David Stevens BROWN
Author: Muriel Lightbourne