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Presents a comprehensive treatment with a global view of the subjectRich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician Advanced Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Basic Real Analysis (available separately or together as a Set via the Related Links nearby), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics.Key topics and features of Advanced Real Analysis:Develops Fourier analysis and functional analysis with an eye toward partial differential equationsIncludes chapters on Sturm Liouville theory, compact self-adjoint operators, Euclidean Fourier analysis, topological vector spaces and distributions, compact and locally compact groups, and aspects of partial differential equationsContains chapters about analysis on manifolds and foundations of probabilityProceeds from the particular to the general, often introducing examples well before a theory that incorporates themIncludes many examples and nearly two hundred problems, and a separate 45-page section gives hints or complete solutions for most of the problemsIncorporates, in the text and especially in the problems, material in which real analysis is used in algebra, in topology, in complex analysis, in probability, in differential geometry, and in applied mathematics of various kindsAdvanced Real Analysis requires of the reader a first course in measure theory, including an introduction to the Fourier transform and to Hilbert and Banach spaces. Some familiarity with complex analysis is helpful for certain chapters. The book is suitable as a text in graduate courses such as Fourier and functional analysis, modern analysis, and partial differential equations. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician. Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics.Key topics and features of Advanced Real Analysis:Develops Fourier analysis and functional analysis with an eye toward partial differential equationsIncludes chapters on Sturm Liouville theory, compact self-adjoint operators, Euclidean Fourier analysis, topological vector spaces and distributions, compact and locally compact groups, and aspects of partial differential equationsContains chapters about analysis on manifolds and foundations of probabilityProceeds from the particular to the general, often introducing examples well before a theory that incorporates themIncludes many examples and nearly two hundred problems, and a separate 45-page section gives hints or complete solutions for most of the problemsIncorporates, in the text and especially in the problems, material in which real analysis is used in algebra, in topology, in complex analysis, in probability, in differential geometry, and in applied mathematics of various kindsAdvanced Real Analysis requires of the reader a first course in measure theory, including an introduction to the Fourier transform and to Hilbert and Banach spaces. Some familiarity with complex analysis is helpful for certain chapters. The book is suitable as a text in graduate courses such as Fourier and functional analysis, modern analysis, and partial differential equations. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician.

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82,49 € *

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World primary energy demand is growing every year. For this reason, it is even more important to pay attention to methods for analyzing and improving energy conversion systems. Evaluation of these systems through exergy analysis makes possible to identify the location, magnitude and sources of thermodynamic inefficiencies. A conventional exergy analysis has some limitations, which are significantly reduced by a detailed exergy analysis, or so-called advanced exergy analysis, evaluating the interactions among components of the overall system and the real potential for improving a system component. Providing detailed information, such an analysis assists in increasing the system efficiency and reducing the system cost, most of all when in addition an exergoeconomic evaluation of energy conversion system is executed. This work focuses on a new approach of advanced exergy analysis applied to a gas turbine based cogeneration system with the aim of providing engineers with information useful for improving design and operation of this kind of energy conversion systems.

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49,00 € *

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This textbook is a thorough, accessible introduction to advanced digital Fourier analysis for advanced students. Assuming knowledge of the Fast Fourier Transform, this book covers advanced topics including the Hilbert transform, cepstrum analysis and the two-dimensional Fourier transform.Saturated with clear, coherent illustrations, "Digital Fourier Analysis: Volume 2" includes practice problems and thorough Appendices. As a central feature, the book includes interactive applets (available online) that mirror the illustrations. These user-friendly applets animate concepts interactively, allowing the user to experiment with the underlying mathematics. The applet source code in Visual Basic is provided online, enabling advanced students to tweak and change the programs for more sophisticated results.A complete, intuitive guide, "Digital Fourier Analysis, Volume 2" is an essential reference for students in science and engineering.

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54,99 € *

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The main focus in this book is on the relation between special values of functions of global Fields and orders of cohomology algebras, groups and theory groups attached to rings of integers, a relation extending cohomology groups.The book is useful to advanced postgraduate learners and researchers in analysis. We lay emphasis on special characteristics of new fields and functions. Modern approaches and applications are given in order to tackle some applications.

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153,88 € *

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Advanced Methods of Structural Analysis aims to help its readers navigate through the vast field of structural analysis. The book aims to help its readers master the numerous methods used in structural analysis by focusing on the principal concepts, as well as the advantages and disadvantages of each method. The end result is a guide to mastering the many intricacies of the plethora of methods of structural analysis. The book differentiates itself from other volumes in the field by focusing on the following:- Extended analysis of beams, trusses, frames, arches and cables- Extensive application of influence lines for analysis of structures- Simple and effective procedures for computation of deflections- Introduction to plastic analysis, stability, and free vibration analysisAuthors Igor A. Karnovsky and Olga Lebed have crafted a must-read book for civil and structural engineers, as well as researches and students with an interest in perfecting structural analysis. Advanced Methods of Structural Analysis also offers numerous example problems, accompanied by detailed solutions and discussion of the results.

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