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Author : Jerome Spanier,Jan Myland,Keith B. Oldham
Publisher : Unknown
Page : 720 pages
File Size : 49,9 Mb
Release : 2008
Category : Electronic
ISBN : 0387496149
Author : Keith B. Oldham,Jan Myland,Jerome Spanier
Publisher : Springer
Page : 750 pages
File Size : 53,7 Mb
Release : 2008-12-02
Category : Mathematics
ISBN : 0387488065
This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.
Author : Jerome Spanier,Keith B. Oldham
Publisher : Taylor & Francis
Page : 700 pages
File Size : 44,9 Mb
Release : 1987-01-01
Category : Mathematics
ISBN : 0891165738
Author : Keith B. Oldham,Jan Myland,Jerome Spanier
Publisher : Springer Science & Business Media
Page : 737 pages
File Size : 40,6 Mb
Release : 2010-07-15
Category : Mathematics
ISBN : 9780387488073
This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.
Author : Keith B. Oldham,Jan Myland,Jerome Spanier
Publisher : Springer
Page : 265 pages
File Size : 43,6 Mb
Release : 2008-10-16
Category : Mathematics
ISBN : 0387097732
Equator is software designed to generate numerical values of over 200 mathematical functions in common use by engineers, scientists and others. Among the functions made available are simple ones such as cosines and binomial coefficients, as well as more complex examples such as Bessel functions and elliptic integrals. The Windows-based Equator software is available as an integral part of the book An Atlas of Functions, Second Edition, although its utility is not limited to users of this book. The Atlas is available in both print and electronic formats; full details can be found at www.springer.com. Equator is sold as a stand-alone unit, in part to benefit those who may access the electronic version of the Atlas through their library.
Author : R. Michael Range
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 47,5 Mb
Release : 1998-06-26
Category : Mathematics
ISBN : 038796259X
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.
Author : Wolfgang Ebeling
Publisher : American Mathematical Soc.
Page : 334 pages
File Size : 45,5 Mb
Release : 2007
Category : Functions of several complex variables
ISBN : 9780821833193
The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.
Author : William J. Thompson
Publisher : Wiley-VCH
Page : 912 pages
File Size : 54,9 Mb
Release : 1997-08-13
Category : Computers
ISBN : UVA:X004260443
This comprehensive reference, which integrates analysis, algorithms and computer implementation, provides more than 150 special functions of the applied sciences with over 700 graphics of functions which can be created using the included CD-ROM.
Author : Dmitriĭ Petrovich Zhelobenko
Publisher : American Mathematical Soc.
Page : 456 pages
File Size : 40,5 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 0821889672
The main topic of this book can be described as the theory of algebraic and topological structures admitting natural representations by operators in vector spaces. These structures include topological algebras, Lie algebras, topological groups, and Lie groups. The book is divided into three parts. Part I surveys general facts for beginners, including linear algebra and functional analysis. Part II considers associative algebras, Lie algebras, topological groups, and Lie groups,along with some aspects of ring theory and the theory of algebraic groups. The author provides a detailed account of classical results in related branches of mathematics, such as invariant integration and Lie's theory of connections between Lie groups and Lie algebras. Part III discusses semisimple Liealgebras and Lie groups, Banach algebras, and quantum groups. This is a useful text for a wide range of specialists, including graduate students and researchers working in mathematical physics and specialists interested in modern representation theory. It is suitable for independent study or supplementary reading. Also available from the AMS by this acclaimed author is Compact Lie Groups and Their Representations.
Author : O. Lehto
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461386520
This monograph grew out of the notes relating to the lecture courses that I gave at the University of Helsinki from 1977 to 1979, at the Eidgenossische Technische Hochschule Zurich in 1980, and at the University of Minnesota in 1982. The book presumably would never have been written without Fred Gehring's continuous encouragement. Thanks to the arrangements made by Edgar Reich and David Storvick, I was able to spend the fall term of 1982 in Minneapolis and do a good part of the writing there. Back in Finland, other commitments delayed the completion of the text. At the final stages of preparing the manuscript, I was assisted first by Mika Seppala and then by Jouni Luukkainen, who both had a grant from the Academy of Finland. I am greatly indebted to them for the improvements they made in the text. I also received valuable advice and criticism from Kari Astala, Richard Fehlmann, Barbara Flinn, Fred Gehring, Pentti Jarvi, Irwin Kra, Matti Lehtinen, I1ppo Louhivaara, Bruce Palka, Kurt Strebel, Kalevi Suominen, Pekka Tukia and Kalle Virtanen. To all of them I would like to express my gratitude. Raili Pauninsalo deserves special thanks for her patience and great care in typing the manuscript. Finally, I thank the editors for accepting my text in Springer-Verlag's well known series. Helsinki, Finland June 1986 Olli Lehto Contents Preface. ... v Introduction ...
Author : Thierry Vialar
Publisher : BoD - Books on Demand
Page : 1134 pages
File Size : 42,9 Mb
Release : 2016-12-07
Category : Mathematics
ISBN : 9782955199046
The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
Author : Harry Dankowicz,Frank Schilder
Publisher : SIAM
Page : 585 pages
File Size : 44,6 Mb
Release : 2013-01-01
Category : Science
ISBN : 9781611972573
This book provides a comprehensive introduction to the mathematical methodology of parameter continuation, the computational analysis of families of solutions to nonlinear mathematical equations. It develops a systematic formalism for constructing abstract representations of continuation problems and for implementing these in an existing computational platform. Recipes for Continuation lends equal importance to theoretical rigor, algorithm development, and software engineering; demonstrates the use of fully developed toolbox templates for single- and multisegment boundary-value problems to the analysis of periodic orbits in smooth and hybrid dynamical systems, quasi-periodic invariant tori, and homoclinic and heteroclinic connecting orbits between equilibria and/or periodic orbits; shows the use of vectorization for optimal computational efficiency, an object-oriented paradigm for the modular construction of continuation problems, and adaptive discretization algorithms for guaranteed bounds on estimated errors; and contains extensive and fully worked examples that illustrate the application of the MATLAB®-based Computational Continuation Core (COCO) to problems from recent research literature that are relevant to dynamical system models from mechanics, electronics, biology, economics, and neuroscience.
Author : R.K. Pandey
Publisher : Discovery Publishing House
Page : 354 pages
File Size : 42,6 Mb
Release : 2007
Category : Functions of complex variables
ISBN : 8183562957
Contents: Algebra of Complex Number, Functions of Complex Number, Limit and Continuity, Analytic Functions, Complex Integration, Cauchy Integral Theorem, Contour Integration, Series in Complex Number, Taylor and Laurent Series.
Author : F.V. Meyer
Publisher : Routledge
Page : 393 pages
File Size : 50,8 Mb
Release : 2021-10-29
Category : Business & Economics
ISBN : 9781000455144
Why is sterling under pressure? Why was the devaluation in 1967 followed by stagnation of British economy? What do the 1971 monetary reforms mean for sterling in the 1970s? First published in 1973, The Functions of Sterling discusses these vital questions and challenges the received wisdom of those who tells us it is beneficial that our money should be worth less. It also examines critically the internal and external performance of sterling throughout the twentieth century. The book argues that the credit control policy offers a real possibility of improved economic growth and encourage the revaluation of sterling. To a large extent the book is in line with Sir Ralph Hawtrey’s reasoning and also integrates monetary economics with "real" problems of comparative costs, innovations, and growth. This book is an essential read for scholars of British economy, public policy, political economy, and economics in general.
Author : William W. Orrison
Publisher : Thieme
Page : 320 pages
File Size : 51,7 Mb
Release : 2008
Category : Medical
ISBN : 158890525X
A new edition of the lavishly illustrated guide to brain structure and function This atlas is an outstanding single-volume resource of information on the structure and function of specific areas of the brain. Updated to reflect the latest technology using 3 Tesla MR images, this edition has been enhanced with new functional MRI studies as well as a new section on diffusion tensor imaging with three-dimensional reconstructions of fiber tracts using color coding to demonstrate neural pathways. Highlights: Glossary of neuroanatomic structures and definitions provides the reader with a foundation in structures, function, and functional relationships High-quality images are divided into five sections, including Sagittal MRI views, Axial MRI views, Coronal MRI views, Fiber-Tracking Diffusion Tensor Imaging, and Three-Dimensional MRI views Icons rapidly orient the reader with the location of each view or the diffusion pathway This book eliminates the need to sift through multiple books for the current information on the structure and function of the brain. It is invaluable for clinicians in radiology, neuroradiology, neurology, neurosurgery, psychiatry, psychology, neuropsychology, and neuroanatomy. The atlas is also ideal for medical students, nursing students, and individuals seeking to gain a firm understanding of human brain anatomy and function.
