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Generalized Functions, Volume 1: Properties and Operations provides a systematic development of the theory of generalized functions and problems in analysis connected with it. This book focuses on the concept of a convenient link that connects many aspects of analysis, functional analysis, theory of differential equations, representation theory of locally compact Lie groups, and theory of probability and statistics. This volume is essentially devoted to algorithmic questions of the theory, covering many applications of generalized functions to various problems of analysis. The topics discussed include the local properties of generalized functions, differentiation as a continuous operation, and Fourier Transforms of test functions. The wave equation in space of odd dimension, derivation of Green's theorem, and reducible singular points are also described. This publication is a good reference for mathematicians, researchers, and students concerned with generalized functions.

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Genre Book : Mathematics
Author Book : I. M. Gel'fand
Publisher : Academic Press
Release Book : 2014-05-12
Download Book : 442 Pages
ISBN-10 : 9781483261591


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Genre Book : Love
Author Book : Isaac Crookenden
Publisher :
Release Book : 1808
Download Book : 29 Pages
ISBN-10 : BL:A0021687921


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Genre Book : Theory of distributions (Functional analysis)
Author Book : Izrailʹ Moiseevich Gelʹfand
Publisher :
Release Book : 1964
Download Book : Pages
ISBN-10 : UOM:49015000679572


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Algebra is as simple as arithmetic in this previously unpublished perspective that keeps true to back-to-basics values. Addition, subtraction, multiplication and division create the structure of all algebraic expressions and equations, so it makes sense to study algebra by operation. In an organized exposition designed to naturally reinforce basic skills, each operation is explored in its own chapter as it is applied to virtually every algebraic term in an elementary algebra course. The interdependence of the operations is a running theme throughout the book and is particularly highlighted in the last two chapters, demonstrating how the operations work together when solving equations in one and two variables. This novel method for studying algebra contains insights to be found nowhere else and reveals over 20 common errors arising from a collapsing of arithmetic procedures.

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Genre Book :
Author Book : Irma M. Pellei
Publisher :
Release Book : 2013-09
Download Book : 230 Pages
ISBN-10 : 0615896200


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Genre Book : Local transit
Author Book : John Henry McKane
Publisher :
Release Book : 1982
Download Book : 268 Pages
ISBN-10 : UOM:39015006388246


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Genre Book :
Author Book : MICHELLE. MANES
Publisher :
Release Book : 2018
Download Book : Pages
ISBN-10 : OCLC:1096529964


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Mathematical Reasoning: Writing and Proof is a text for the ?rst college mathematics course that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are to help students: Develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting; develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, and counterexamples; develop the ability to read and understand written mathematical proofs; develop talents for creative thinking and problem solving; improve their quality of communication in mathematics. This includes improving writing techniques, reading comprehension, and oral communication in mathematics; better understand the nature of mathematics and its language. Another important goal of this text is to provide students with material that will be needed for their further study of mathematics. Important features of the book include: Emphasis on writing in mathematics; instruction in the process of constructing proofs; emphasis on active learning.There are no changes in content between Version 2.0 and previous versions of the book. The only change is that the appendix with answers and hints for selected exercises now contains solutions and hints for more exercises.

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Genre Book :
Author Book : Ted Sundstrom
Publisher :
Release Book : 2014-06-11
Download Book : 608 Pages
ISBN-10 : 1500143413


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Genre Book : Chemical reactions
Author Book : Sir Benjamin Collins Brodie
Publisher :
Release Book : 1866
Download Book : Pages
ISBN-10 : OXFORD:N10828604


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Pharmaceutical Dosage Forms: Capsules covers the development, composition, and manufacture of capsules. Despite the important role that capsules play in drug delivery and product development, few comprehensive texts on the science and technology of capsules have been available for the research and academic environments. This text addresses this gap, discussing how capsules provide unique capabilities and options for dosage form design and formulation.

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Genre Book : Medical
Author Book : Larry L. Augsburger
Publisher : CRC Press
Release Book : 2017-10-30
Download Book : 421 Pages
ISBN-10 : 9781841849775


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Nowadays algebra is understood basically as the general theory of algebraic oper ations and relations. It is characterised by a considerable intrinsic naturalness of its initial notions and problems, the unity of its methods, and a breadth that far exceeds that of its basic concepts. It is more often that its power begins to be displayed when one moves outside its own limits. This characteristic ability is seen when one investigates not only complete operations, but partial operations. To a considerable extent these are related to algebraic operators and algebraic operations. The tendency to ever greater generality is amongst the reasons that playa role in explaining this development. But other important reasons play an even greater role. Within this same theory of total operations (that is, operations defined everywhere), there persistently arises in its different sections a necessity of examining the emergent feature of various partial operations. It is particularly important that this has been found in those parts of algebra it brings together and other areas of mathematics it interacts with as well as where algebra finds applica tion at the very limits of mathematics. In this connection we mention the theory of the composition of mappings, category theory, the theory of formal languages and the related theory of mathematical linguistics, coding theory, information theory, and algebraic automata theory. In all these areas (as well as in others) from time to time there arises the need to consider one or another partial operation.

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Genre Book : Mathematics
Author Book : E.S. Ljapin
Publisher : Springer Science & Business Media
Release Book : 2013-04-17
Download Book : 238 Pages
ISBN-10 : 9789401734837