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Based on a conference on the interaction between functional analysis, harmonic analysis and probability theory, this work offers discussions of each distinct field, and integrates points common to each. It examines developments in Fourier analysis, interpolation theory, Banach space theory, probability, probability in Banach spaces, and more.
Formal analysis is the study of formal power series, formal Laurent series, formal root series, and other formal series or formal functionals. This book is the first comprehensive presentation of the topic that systematically introduces formal analysis, including its algebraic, analytic, and topological structure, along with various applications.
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While the Handbook is an all-encompassing resource for academic purposes including teaching and exam preparation, the lab-coat-pocket-size of the Minibook is ideal for clinical use, providing all crucial clinical references in a condense and concise format. The Minibook includes the following essential information for quick clinical reference: 159 Eastern and Western diseases with associated TCM patterns and treatments; comprehensive acupuncture chart including eastern and western indications with clinical notes for 361 points; comprehensive chart for 381 single herbs and herb comparison charts in alphabetical order; comprehensive chart for 261 herbal formulas and formauls comparison charts in alphabetical order; biomedicine including diagnosis, diseases, patient intake and top 300 drug list; various treatment information including Korean medicine, Tung style acupuncture, complementary modalities, and cosmetic acupuncture.
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This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has scrupulously avoided any presumption at all that the reader has any knowledge of mathematical concepts until they are formally presented in the book. One significant way in which this book differs from other texts at this level is that the integral which is first mentioned is the Lebesgue integral on the real line. There are at least three good reasons for doing this. First, this approach is no more difficult to understand ...
This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a separable Hilbert space. The second edition has been updated on the fundamental approach provided by Albrecht Pietsch. For mathematical physicists and other users of Connes’ noncommutative geometry the text offers a complete reference to traces on weak trace class operators, including Dixmier traces and associated formulas involving residues of spectral zeta functions and asymptotics of partition functions.
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A comprehensive handbook of Chinese herbs and their clinical applications, this updated reference describes in detail each herb's characteristics with comparative charts to help clinicians discriminate between similar herbs and dosage guidance.
This book presents material in two parts. Part one provides an introduction to crossed modules of groups, Lie algebras and associative algebras with fully written out proofs and is suitable for graduate students interested in homological algebra. In part two, more advanced and less standard topics such as crossed modules of Hopf algebra, Lie groups, and racks are discussed as well as recent developments and research on crossed modules.