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Author : Nicolas Bourbaki
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (126 download)
Download or read book Fonctions d'une variable réelle: chap. 4 written by Nicolas Bourbaki and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lawrence M Graves
Publisher : Courier Corporation
ISBN 13 : 0486158136
Total Pages : 361 pages
Book Rating : 4.4/5 (861 download)
Download or read book The Theory of Functions of Real Variables written by Lawrence M Graves and published by Courier Corporation. This book was released on 2012-01-27 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.
Author : Robert W. Carroll
Publisher : Courier Corporation
ISBN 13 : 0486263282
Total Pages : 385 pages
Book Rating : 4.4/5 (862 download)
Download or read book Abstract Methods in Partial Differential Equations written by Robert W. Carroll and published by Courier Corporation. This book was released on 2013-05-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 edition.
Author : B. Rosenfeld
Publisher : Springer Science & Business Media
ISBN 13 : 147575325X
Total Pages : 414 pages
Book Rating : 4.4/5 (757 download)
Download or read book Geometry of Lie Groups written by B. Rosenfeld and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947- 1949), Azerbaijan State University (Baku) (1950-1955), Kolomna Pedagogical Col lege (1955-1970), Moscow Pedagogical University (1971-1990), and Pennsylvania State University (1990-1995). My first books on Non-Euclidean Geometries and Geometry of Lie groups were written in Russian and published in Moscow: Non-Euclidean Geometries (1955) [Ro1] , Multidimensional Spaces (1966) [Ro2] , and Non-Euclidean Spaces (1969) [Ro3]. In [Ro1] I considered non-Euclidean geometries in the broad sense, as geometry of simple Lie groups, since classical non-Euclidean geometries, hyperbolic and elliptic, are geometries of simple Lie groups of classes Bn and D , and geometries of complex n and quaternionic Hermitian elliptic and hyperbolic spaces are geometries of simple Lie groups of classes An and en. [Ro1] contains an exposition of the geometry of classical real non-Euclidean spaces and their interpretations as hyperspheres with identified antipodal points in Euclidean or pseudo-Euclidean spaces, and in projective and conformal spaces. Numerous interpretations of various spaces different from our usual space allow us, like stereoscopic vision, to see many traits of these spaces absent in the usual space.
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 : C.A. Desoer
Publisher : Elsevier
ISBN 13 : 0323157793
Total Pages : 283 pages
Book Rating : 4.3/5 (231 download)
Download or read book Feedback Systems: Input-output Properties written by C.A. Desoer and published by Elsevier. This book was released on 2012-12-02 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feedback Systems: Input-output Properties deals with the basic input-output properties of feedback systems. Emphasis is placed on multiinput-multioutput feedback systems made of distributed subsystems, particularly continuous-time systems. Topics range from memoryless nonlinearities to linear systems, the small gain theorem, and passivity. Norms and general theorems are also considered. This book is comprised of six chapters and begins with an overview of a few simple facts about feedback systems and simple examples of nonlinear systems that illustrate the important distinction between the questions of existence, uniqueness, continuous dependence, and boundedness with respect to bounded input and output. The next chapter describes a number of useful properties of norms and induced norms and of normed spaces. Several theorems are then presented, along with the main results concerning linear systems. These results are used to illustrate the applications of the small gain theorem to different classes of systems. The final chapter outlines the framework necessary to discuss passivity and demonstrate the applications of the passivity theorem. This monograph will be a useful resource for mathematically inclined engineers interested in feedback systems, as well as undergraduate engineering students.
Author : Thomas L. Saaty
Publisher : Courier Corporation
ISBN 13 : 0486143767
Total Pages : 500 pages
Book Rating : 4.4/5 (861 download)
Download or read book Modern Nonlinear Equations written by Thomas L. Saaty and published by Courier Corporation. This book was released on 2012-04-26 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers major types of classical equations: operator, functional, difference, integro-differential, and more. Suitable for graduate students as well as scientists, technologists, and mathematicians. "A welcome contribution." — Math Reviews. 1964 edition.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642593151
Total Pages : 343 pages
Book Rating : 4.6/5 (425 download)
Download or read book Functions of a Real Variable written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.
Author : Nicolas Bourbaki
Publisher :
ISBN 13 :
Total Pages : 478 pages
Book Rating : 4.:/5 (321 download)
Download or read book Algebra: Chapters 4-7 written by Nicolas Bourbaki and published by . This book was released on 1974 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dragoslav S. Mitrinovic
Publisher : Springer Science & Business Media
ISBN 13 : 9401710430
Total Pages : 739 pages
Book Rating : 4.4/5 (17 download)
Download or read book Classical and New Inequalities in Analysis written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. Variations of inequalities ascribed to Abel, Jensen, Cauchy, Chebyshev, Hölder, Minkowski, Stefferson, Gram, Fejér, Jackson, Hardy, Littlewood, Po'lya, Schwarz, Hadamard and a host of others can be found in this volume. The more than 1200 cited references include many from the last ten years which appear in a book for the first time. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities. Anyone interested in equalities, from student to professional, will find their favorite inequality and much more.
Author : Thomas L. Saaty
Publisher : RWS Publications
ISBN 13 : 1888603399
Total Pages : 490 pages
Book Rating : 4.8/5 (886 download)
Download or read book Non Linear Mathematics Vol. II written by Thomas L. Saaty and published by RWS Publications. This book was released on 2014-12-22 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear equations have existed for hundreds of years; their systematic study, however, is a relatively recent phenomenon. This volume, together with its companion', Nonlinear Matliematics Vol. I, provides exceptionally comprehensive coverage of this recently formed area of study. It encompasses both older and more recent developments in the field of equations, with particular emphasis on nonlinear equations because, as Professor Saaty maintains, "that is what is needed today." Together the two volumes cover all the major types of classical equations (except partial differential equations, which require a separate volume). This volume includes material on seven types: operator equations, functional equations, difference equations, delay-differential equations, integral equations, integro-differential equations and stochastic differential equations. Special emphasis is placed on linear and nonlinear equations in function spaces and On general methods of solving different types of such equations. Above all, this book is practical. It reviews the variety of existing types of equations and provides methods for their solution. It is meant to help the reader acquire new methods for formulating problems. Its clear organization and copious references make it suitable for graduate students as well as scientists, technologists and mathematicians.
Author : R. Carroll
Publisher : Elsevier
ISBN 13 : 0080872638
Total Pages : 411 pages
Book Rating : 4.0/5 (88 download)
Download or read book Mathematical Physics written by R. Carroll and published by Elsevier. This book was released on 1988-06-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the important areas of mathematical physics, this volume starts with basic ideas and proceeds (sometimes rapidly) to a more sophisticated level, often to the context of current research.All of the necessary functional analysis and differential geometry is included, along with basic calculus of variations and partial differential equations (linear and nonlinear). An introduction to classical and quantum mechanics is given with topics in Feynman integrals, gauge fields, geometric quantization, attractors for PDE, Ginzburg-Landau Equations in superconductivity, Navier-Stokes equations, soliton theory, inverse problems and ill-posed problems, scattering theory, convex analysis, variational inequalities, nonlinear semigroups, etc. Contents: 1. Classical Ideas and Problems. Introduction. Some Preliminary Variational Ideas. Various Differential Equations and Their Origins. Linear Second Order PDE. Further Topics in the Calculus of Variations. Spectral Theory for Ordinary Differential Operators, Transmutation, and Inverse Problems. Introduction to Classical Mechanics. Introduction to Quantum Mechanics. Weak Problems in PDE. Some Nonlinear PDE. Ill-Posed Problems and Regularization. 2. Scattering Theory and Solitons. Introduction. Scattering Theory I (Operator Theory). Scattering Theory II (3-D). Scattering Theory III (A Medley of Themes). Scattering Theory IV (Spectral Methods in 3-D). Systems and Half Line Problems. Relations between Potentials and Spectral Data. Introduction to Soliton Theory. Solitons via AKNS Systems. Soliton Theory (Hamiltonian Structure). Some Topics in Integrable Systems. 3. Some Nonlinear Analysis: Some Geometric Formalism. Introduction. Nonlinear Analysis. Monotone Operators. Topological Methods. Convex Analysis. Nonlinear Semigroups and Monotone Sets. Variational Inequalities. Quantum Field Theory. Gauge Fields (Physics). Gauge Fields (Mathematics) and Geometric Quantization. Appendices: Introduction to Linear Functional Analysis. Selected Topics in Functional Analysis. Introduction to Differential Geometry. References. Index.
Author : Isidor Pavlovich Natanson
Publisher :
ISBN 13 :
Total Pages : 190 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 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Luc Chabert
Publisher : Springer Science & Business Media
ISBN 13 : 3642181929
Total Pages : 522 pages
Book Rating : 4.6/5 (421 download)
Download or read book A History of Algorithms written by Jean-Luc Chabert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of computing has reawakened interest in algorithms. Often neglected by historians and modern scientists, algorithmic procedures have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice.
Author : Dragoslav S. Mitrinovic
Publisher : Springer Science & Business Media
ISBN 13 : 3642999700
Total Pages : 416 pages
Book Rating : 4.6/5 (429 download)
Download or read book Analytic Inequalities written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Inequalities began its development from the time when C. F. GACSS, A. L. CATCHY and P. L. CEBYSEY, to mention only the most important, laid the theoretical foundation for approximative meth ods. Around the end of the 19th and the beginning of the 20th century, numerous inequalities were proyed, some of which became classic, while most remained as isolated and unconnected results. It is almost generally acknowledged that the classic work "Inequali ties" by G. H. HARDY, J. E. LITTLEWOOD and G. POLYA, which appeared in 1934, transformed the field of inequalities from a collection of isolated formulas into a systematic discipline. The modern Theory of Inequalities, as well as the continuing and growing interest in this field, undoubtedly stem from this work. The second English edition of this book, published in 1952, was unchanged except for three appendices, totalling 10 pages, added at the end of the book. Today inequalities playa significant role in all fields of mathematics, and they present a very active and attractive field of research. J. DIEUDONNE, in his book "Calcullnfinitesimal" (Paris 1968), attri buted special significance to inequalities, adopting the method of exposi tion characterized by "majorer, minorer, approcher". Since 1934 a multitude of papers devoted to inequalities have been published: in some of them new inequalities were discovered, in others classical inequalities ,vere sharpened or extended, various inequalities ,vere linked by finding their common source, while some other papers gave a large number of miscellaneous applications.
Author : R.E. Edwards
Publisher : Courier Corporation
ISBN 13 : 0486145107
Total Pages : 802 pages
Book Rating : 4.4/5 (861 download)
Download or read book Functional Analysis written by R.E. Edwards and published by Courier Corporation. This book was released on 2012-10-25 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.
Author :
Publisher :
ISBN 13 :
Total Pages : 503 pages
Book Rating : 4.L/5 ( download)
Download or read book Atti Del ... Congresso Internazionale Dei Matematici ... written by and published by . This book was released on 1913 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt:
