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Author : Isidor Pavlovich Natanson
Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.:/5 ( download)
Download or read book Constructive Theory of Functions written by Isidor Pavlovich Natanson and published by . This book was released on 1961 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Schempp
Publisher :
ISBN 13 : 9783662202630
Total Pages : 304 pages
Book Rating : 4.2/5 (26 download)
Download or read book Constructive Theory of Functions of Several Variables written by W. Schempp and published by . This book was released on 2014-01-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I.P. Natanson
Publisher : Courier Dover Publications
ISBN 13 : 048680643X
Total Pages : 545 pages
Book Rating : 4.4/5 (868 download)
Download or read book Theory of Functions of a Real Variable written by I.P. Natanson and published by Courier Dover Publications. This book was released on 2016-08-17 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long out-of-print volume by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics. 1955 and 1960 editions.
Author : A.S. Troelstra
Publisher : Elsevier Science
ISBN 13 : 9780444702661
Total Pages : 355 pages
Book Rating : 4.7/5 (26 download)
Download or read book Constructivism in Mathematics, Vol 1 written by A.S. Troelstra and published by Elsevier Science. This book was released on 1988-07-15 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, up-to-date introduction to the metamathematics of constructive mathematics, paying special attention to Intuitionism, Markov's constructivism and Martin-Lof's type theory with its operational semantics. A detailed exposition of the basic features of constructive mathematics, with illustrations from analysis, algebra and topology, is provided, with due attention to the metamathematical aspects. Volume 1 is a self-contained introduction to the practice and foundations of constructivism, and does not require specialized knowledge beyond basic mathematical logic. Volume 2 contains mainly advanced topics of a proof-theoretical and semantical nature.
Author : A. F. Timan
Publisher : Elsevier
ISBN 13 : 1483184811
Total Pages : 644 pages
Book Rating : 4.4/5 (831 download)
Download or read book Theory of Approximation of Functions of a Real Variable written by A. F. Timan and published by Elsevier. This book was released on 2014-07-22 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Approximation of Functions of a Real Variable discusses a number of fundamental parts of the modern theory of approximation of functions of a real variable. The material is grouped around the problem of the connection between the best approximation of functions to their structural properties. This text is composed of eight chapters that highlight the relationship between the various structural properties of real functions and the character of possible approximations to them by polynomials and other functions of simple construction. Each chapter concludes with a section containing various problems and theorems, which supplement the main text. The first chapters tackle the Weierstrass's theorem, the best approximation by polynomials on a finite segment, and some compact classes of functions and their structural properties. The subsequent chapters describe some properties of algebraic polynomials and transcendental integral functions of exponential type, as well as the direct theorems of the constructive theory of functions. These topics are followed by discussions of differential and constructive characteristics of converse theorems. The final chapters explore other theorems connecting the best approximations functions with their structural properties. These chapters also deal with the linear processes of approximation of functions by polynomials. The book is intended for post-graduate students and for mathematical students taking advanced courses, as well as to workers in the field of the theory of functions.
Author : Paul Ernest
Publisher : SUNY Press
ISBN 13 : 9780791435878
Total Pages : 336 pages
Book Rating : 4.4/5 (358 download)
Download or read book Social Constructivism as a Philosophy of Mathematics written by Paul Ernest and published by SUNY Press. This book was released on 1998-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.
Author : Ronald A. DeVore
Publisher : Springer Science & Business Media
ISBN 13 : 9783540506270
Total Pages : 468 pages
Book Rating : 4.5/5 (62 download)
Download or read book Constructive Approximation written by Ronald A. DeVore and published by Springer Science & Business Media. This book was released on 1993-11-04 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolation of operators. Other topics include Weierstrauss and best approximation theorems, properties of polynomials and splines. It contains history and proofs with an emphasis on principal results.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9781556080036
Total Pages : 540 pages
Book Rating : 4.0/5 (8 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1988 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.
Author : Vijay Gupta
Publisher : Springer
ISBN 13 : 3319921657
Total Pages : 295 pages
Book Rating : 4.3/5 (199 download)
Download or read book Recent Advances in Constructive Approximation Theory written by Vijay Gupta and published by Springer. This book was released on 2018-07-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is treated with extensions to approximation results on linear positive operators in a post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to optimization, physics, and biology. Graduate students, research scientists and engineers working in mathematics, physics, and industry will broaden their understanding of operators essential to pure and applied mathematics. Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate Gruss-type inequalities for positive linear operators, bivariate operators of discrete and integral type, convergence of GBS operators.
Author : George G. Lorentz
Publisher : Springer
ISBN 13 : 9783642646102
Total Pages : 0 pages
Book Rating : 4.6/5 (461 download)
Download or read book Constructive Approximation written by George G. Lorentz and published by Springer. This book was released on 2011-12-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 30 years, Approximation Theory has undergone wonderful develop ment, with many new theories appearing in this short interval. This book has its origin in the wish to adequately describe this development, in particular, to rewrite the short 1966 book of G. G. Lorentz, "Approximation of Functions." Soon after 1980, R. A. DeVore and Lorentz joined forces for this purpose. The outcome has been their "Constructive Approximation" (1993), volume 303 of this series. References to this book are given as, for example rCA, p.201]. Later, M. v. Golitschek and Y. Makovoz joined Lorentz to produce the present book, as a continuation of the first. Completeness has not been our goal. In some of the theories, our exposition offers a selection of important, representative theorems, some other cases are treated more systematically. As in the first book, we treat only approximation of functions of one real variable. Thus, functions of several variables, complex approximation or interpolation are not treated, although complex variable methods appear often.
Author : M. Hazewinkel
Publisher : Springer
ISBN 13 : 1489937978
Total Pages : 927 pages
Book Rating : 4.4/5 (899 download)
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Isidor Pavlovich Natanson
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (43 download)
Download or read book Theory of Functions of a Real Variable written by Isidor Pavlovich Natanson and published by . This book was released on 1961 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Douglas Bridges
Publisher : Cambridge University Press
ISBN 13 : 9780521318020
Total Pages : 164 pages
Book Rating : 4.3/5 (18 download)
Download or read book Varieties of Constructive Mathematics written by Douglas Bridges and published by Cambridge University Press. This book was released on 1987-04-24 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of constructive approaches to pure mathematics emphasizing the viewpoint of Errett Bishop's school. Considers intuitionism, Russian constructivism, and recursive analysis, with comparisons among the various approaches included where appropriate.
Author : Ray Mines
Publisher : Springer Science & Business Media
ISBN 13 : 1441986405
Total Pages : 355 pages
Book Rating : 4.4/5 (419 download)
Download or read book A Course in Constructive Algebra written by Ray Mines and published by Springer Science & Business Media. This book was released on 2012-09-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The constructive approach to mathematics has enjoyed a renaissance, caused in large part by the appearance of Errett Bishop's book Foundations of constr"uctiue analysis in 1967, and by the subtle influences of the proliferation of powerful computers. Bishop demonstrated that pure mathematics can be developed from a constructive point of view while maintaining a continuity with classical terminology and spirit; much more of classical mathematics was preserved than had been thought possible, and no classically false theorems resulted, as had been the case in other constructive schools such as intuitionism and Russian constructivism. The computers created a widespread awareness of the intuitive notion of an effecti ve procedure, and of computation in principle, in addi tion to stimulating the study of constructive algebra for actual implementation, and from the point of view of recursive function theory. In analysis, constructive problems arise instantly because we must start with the real numbers, and there is no finite procedure for deciding whether two given real numbers are equal or not (the real numbers are not discrete) . The main thrust of constructive mathematics was in the direction of analysis, although several mathematicians, including Kronecker and van der waerden, made important contributions to construc tive algebra. Heyting, working in intuitionistic algebra, concentrated on issues raised by considering algebraic structures over the real numbers, and so developed a handmaiden'of analysis rather than a theory of discrete algebraic structures.
Author : Douglas S. Bridges
Publisher : Springer Science & Business Media
ISBN 13 : 0387381473
Total Pages : 227 pages
Book Rating : 4.3/5 (873 download)
Download or read book Techniques of Constructive Analysis written by Douglas S. Bridges and published by Springer Science & Business Media. This book was released on 2007-04-30 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to constructive mathematics with an emphasis on techniques and results obtained in the last twenty years. The text covers fundamental theory of the real line and metric spaces, focusing on locatedness in normed spaces and with associated results about operators and their adjoints on a Hilbert space. The first appendix gathers together some basic notions about sets and orders, the second gives the axioms for intuitionistic logic. No background in intuitionistic logic or constructive analysis is needed in order to read the book, but some familiarity with the classical theories of metric, normed and Hilbert spaces is necessary.
Author : John C. Baez
Publisher : Princeton University Press
ISBN 13 : 1400862507
Total Pages : 310 pages
Book Rating : 4.4/5 (8 download)
Download or read book Introduction to Algebraic and Constructive Quantum Field Theory written by John C. Baez and published by Princeton University Press. This book was released on 2014-07-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831014
Total Pages : 324 pages
Book Rating : 4.8/5 (31 download)
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by and published by American Mathematical Soc.. This book was released on 1987 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
