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Theory And Applications Of Differentiable Functions Of Several Variables X

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Theory and Applications of Differentiable Functions of Several Variables

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Theory and Applications of Differentiable Functions of Several Variables by Sergeĭ Mikhaĭlovich Nikolʹskiĭ Book Summary:

Download or read Theory and Applications of Differentiable Functions of Several Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Theory and Applications of Differentiable Functions of Several Variables

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Theory and Applications of Differentiable Functions of Several Variables by S. M. Nikol'skii Book Summary:

Download or read Theory and Applications of Differentiable Functions of Several Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Theory and Applications of Differentiable Functions of Several Variables

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Theory and Applications of Differentiable Functions of Several Variables by Sergei Mikhailovich Nikol'skii Book Summary:

This colletion is the fourteenth in an ongoing series on differentiable functions of several variables, presenting recent contributions to a line of research begun by Sobolev in 1950. The papers study various spaces of differentiable functions of several real variables in Euclidean space, their imbeddings, equivalent normings, weighted estimates of derivatives, and traces on sets. Several questions of approximation in function spaces on the line, on a hyperboloid, and on Lobachevsky space are studied. Investigations of bilinear approximations are applied to estimates of the singular numbers of integral operators and widths. The authors also examine the asymptotics of the spectrum of elliptic systems, as well as the Dirichlet variational problem for a degenerate elliptic operator. Finally, a block method of solving Laplace's equation for nonanalytic boundary conditions is developed.

Theory and Applications of Differentiable Functions of Several Variables

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Theory and Applications of Differentiable Functions of Several Variables by Sergei Mikhailovich Nicol'skii,L. D. Kudryavtsev Book Summary:

This book is dedicated to Sergei Mikhailovich Nikolskii on the occasion of his eighty-fifth birthday. The collection contains new results on the following topics: approximation of functions, imbedding theory, interpolation of function spaces, convergence of series in trigonometric and general orthogonal systems, quasilinear elliptic problems, spectral theory of nonselfadjoint operators, asymptotic properties of pseudodifferential operators, and methods of approximate solution of Laplace's equation.

Derivatives and Integrals of Multivariable Functions

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Derivatives and Integrals of Multivariable Functions by Alberto Guzman Book Summary:

This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author’s previous text, "Continuous Functions of Vector Variables": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line. Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. "Derivatives and Integrals of Multivariable Functions" is a rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry.

Golden Differential Calculus

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Golden Differential Calculus by Golden,N. P. Bali Book Summary:

Download or read Golden Differential Calculus book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Selected Topics in the Classical Theory of Functions of a Complex Variable

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Selected Topics in the Classical Theory of Functions of a Complex Variable by Maurice Heins Book Summary:

Elegant and concise, this text explores properties of meromorphic functions, Picard theorem, harmonic and subharmonic functions, applications, and boundary behavior of the Riemann mapping function for simply connected Jordan regions. 1962 edition.

Essential Calculus with Applications

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Essential Calculus with Applications by Richard A. Silverman Book Summary:

Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition.

COMPLEX VARIABLES

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

COMPLEX VARIABLES by H. S. KASANA Book Summary:

The second edition of this comprehensive and accessible text continues to offer students a challenging and enjoyable study of complex variables that is infused with perfect balanced coverage of mathematical theory and applied topics. The author explains fundamental concepts and techniques with precision and introduces the students to complex variable theory through conceptual develop-ment of analysis that enables them to develop a thorough understanding of the topics discussed. Geometric interpretation of the results, wherever necessary, has been inducted for making the analysis more accessible. The level of the text assumes that the reader is acquainted with elementary real analysis. Beginning with the revision of the algebra of complex variables, the book moves on to deal with analytic functions, elementary functions, complex integration, sequences, series and infinite products, series expansions, singularities and residues. The application-oriented chapters on sums and integrals, conformal mappings, Laplace transform, and some special topics, provide a practical-use perspective. Enriched with many numerical examples and exercises designed to test the student's comprehension of the topics covered, this book is written for a one-semester course in complex variables for students in the science and engineering disciplines.

Text Book Of Differential Calculus

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Text Book Of Differential Calculus by A.K. Sharma Book Summary:

This book on Differential Calculus has been written for the use of the students of degree and honours classes of Indian Universities. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The theories and articles have been explained in detailed in a nice manner and all the examples have been completely solved. Self practice problems in such chapter will help students self evaluation. Hints and answers to self practice problems enable to students learn at their own pace. The book contains almost all the questions set at various examinations held by Indian Universities and it covers to syllabi of all Indian Universities. Contents: Function of Real Variable, Limits, Continuity and Differentiability, Rolle s Theorem, Mean Value Theorems, Taylor s and Maclaurin s Theorems, Differentiation, Successive Differentiation, Expansions of Functions, Partial Differential, Indeterminate Forms, Tangents and Norms, Curvature, Asymptotes.

More Calculus of a Single Variable

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

More Calculus of a Single Variable by Peter R. Mercer Book Summary:

This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus — such as the real numbers, differentiation and integration, mean value theorems, the exponential function — are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for π. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization. More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.

Integral Representation and the Computation of Combinatorial Sums

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Integral Representation and the Computation of Combinatorial Sums by G. P. Egorychev Book Summary:

This monograph should be of interest to a broad spectrum of readers: specialists in discrete and continuous mathematics, physicists, engineers, and others interested in computing sums and applying complex analysis in discrete mathematics. It contains investigations on the problem of finding integral representations for and computing finite and infinite sums (generating functions); these arise in practice in combinatorial analysis, the theory of algorithms and programming on a computer, probability theory, group theory, and function theory, as well as in physics and other areas of knowledge. A general approach is presented for computing sums and other expressions in closed form by reducing them to one-dimensional and multiple integrals, most often to contour integrals.

Optimization Theory with Applications

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Optimization Theory with Applications by Donald A. Pierre Book Summary:

Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

Holomorphic Functions and Integral Representations in Several Complex Variables

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Holomorphic Functions and Integral Representations in Several Complex Variables by R. Michael Range Book Summary:

The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.

Modern Mathematics for the Engineer: Second Series

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Modern Mathematics for the Engineer: Second Series by Edwin F. Beckenbach Book Summary:

The second in this two-volume series also contains original papers commissioned from prominent 20th-century mathematicians. A three-part treatment covers mathematical methods, statistical and scheduling studies, and physical phenomena. 1961 edition.

An Introduction to Theoretical and Computational Aerodynamics

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

An Introduction to Theoretical and Computational Aerodynamics by Jack Moran Book Summary:

Concise text discusses properties of wings and airfoils in incompressible and primarily inviscid flow, viscid flows, panel methods, finite difference methods, and computation of transonic flows past thin airfoils. 1984 edition.

Mathematical Analysis

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Mathematical Analysis by S. C. Malik,Savita Arora Book Summary:

The Book Is Intended To Serve As A Text In Analysis By The Honours And Post-Graduate Students Of The Various Universities. Professional Or Those Preparing For Competitive Examinations Will Also Find This Book Useful.The Book Discusses The Theory From Its Very Beginning. The Foundations Have Been Laid Very Carefully And The Treatment Is Rigorous And On Modem Lines. It Opens With A Brief Outline Of The Essential Properties Of Rational Numbers And Using Dedekinds Cut, The Properties Of Real Numbers Are Established. This Foundation Supports The Subsequent Chapters: Topological Frame Work Real Sequences And Series, Continuity Differentiation, Functions Of Several Variables, Elementary And Implicit Functions, Riemann And Riemann-Stieltjes Integrals, Lebesgue Integrals, Surface, Double And Triple Integrals Are Discussed In Detail. Uniform Convergence, Power Series, Fourier Series, Improper Integrals Have Been Presented In As Simple And Lucid Manner As Possible And Fairly Large Number Solved Examples To Illustrate Various Types Have Been Introduced.As Per Need, In The Present Set Up, A Chapter On Metric Spaces Discussing Completeness, Compactness And Connectedness Of The Spaces Has Been Added. Finally Two Appendices Discussing Beta-Gamma Functions, And Cantors Theory Of Real Numbers Add Glory To The Contents Of The Book.

Multivariable Calculus with Applications

Theory And Applications Of Differentiable Functions Of Several Variables X [Pdf/ePub] eBook

Multivariable Calculus with Applications by Peter D. Lax,Maria Shea Terrell Book Summary:

This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics.