Real Functions 22

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Real and Complex Analysis

Author : Christopher Apelian
Publisher : CRC Press
ISBN 13 : 1584888075
Total Pages : 569 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Real and Complex Analysis by : Christopher Apelian

Download or read book Real and Complex Analysis written by Christopher Apelian and published by CRC Press. This book was released on 2009-12-08 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents Real & Complex Analysis Together Using a Unified Approach A two-semester course in analysis at the advanced undergraduate or first-year graduate level Unlike other undergraduate-level texts, Real and Complex Analysis develops both the real and complex theory together. It takes a unified, elegant approach to the theory that is consistent with the recommendations of the MAA’s 2004 Curriculum Guide. By presenting real and complex analysis together, the authors illustrate the connections and differences between these two branches of analysis right from the beginning. This combined development also allows for a more streamlined approach to real and complex function theory. Enhanced by more than 1,000 exercises, the text covers all the essential topics usually found in separate treatments of real analysis and complex analysis. Ancillary materials are available on the book’s website. This book offers a unique, comprehensive presentation of both real and complex analysis. Consequently, students will no longer have to use two separate textbooks—one for real function theory and one for complex function theory.

Essential Mathematics for Applied Fields

Author : R.M. Meyer
Publisher : Springer Science & Business Media
ISBN 13 : 1461380723
Total Pages : 564 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Essential Mathematics for Applied Fields by : R.M. Meyer

Download or read book Essential Mathematics for Applied Fields written by R.M. Meyer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Purpose The purpose of this work is to provide, in one volume, a wide spectrum of essential (non-measure theoretic) Mathematics for use by workers in the variety of applied fields. To obtain the background developed here in one volume would require studying a prohibitive number of separate Mathematics courses (assuming they were available). Before, much of the material now covered was (a) unavailable, (b) too widely scattered, or (c) too advanced as presented, to be of use to those who need it. Here, we present a sound basis requiring only Calculus through however, Differential Equations. It provides the needed flexibility to cope, in a rigorous manner, with the every-day, non-standard and new situations that present themselves. There is no substitute for this. 2. Arrangement The volume consists of twenty Sections, falling into several natural units: Basic Real Analysis 1. Sets, Sequences, Series, and Functions 2. Doubly Infinite Sequences and Series 3. Sequences and Series of Functions 4. Real Power Series 5. Behavior of a Function Near a Point: Various Types of Limits 6. Orders of Magnitude: the D, 0, ~ Notation 7. Some Abelian and Tauberian Theorems v Riemann-Stieltjes Integration 8. I-Dimensional Cumulative Distribution Functions and Bounded Variation Functions 9. I-Dimensional Riemann-Stieltjes Integral 10. n-Dimensional Cumulative Distribution Functions and Bounded Variation Functions 11. n-Dimensional Riemann-Stieltjes Integral The Finite Calculus 12. Finite Differences and Difference Equations Basic Complex Analysis 13. Complex Variables Applied Linear Algebra 14. Matrices and Determinants 15.

Real Functions

Author : Brian S. Thomson
Publisher : Springer
ISBN 13 : 3540397426
Total Pages : 237 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Real Functions by : Brian S. Thomson

Download or read book Real Functions written by Brian S. Thomson and published by Springer. This book was released on 2006-11-14 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Second Course on Real Functions

Author : A. C. M. van Rooij
Publisher : Cambridge University Press
ISBN 13 : 9780521239448
Total Pages : 222 pages
Book Rating : 4.2/5 (394 download)

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Book Synopsis A Second Course on Real Functions by : A. C. M. van Rooij

Download or read book A Second Course on Real Functions written by A. C. M. van Rooij and published by Cambridge University Press. This book was released on 1982-03-25 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: When considering a mathematical theorem one ought not only to know how to prove it but also why and whether any given conditions are necessary. All too often little attention is paid to to this side of the theory and in writing this account of the theory of real functions the authors hope to rectify matters. They have put the classical theory of real functions in a modern setting and in so doing have made the mathematical reasoning rigorous and explored the theory in much greater depth than is customary. The subject matter is essentially the same as that of ordinary calculus course and the techniques used are elementary (no topology, measure theory or functional analysis). Thus anyone who is acquainted with elementary calculus and wishes to deepen their knowledge should read this.

A First Course in Complex Analysis with Applications

Author : Dennis Zill
Publisher : Jones & Bartlett Learning
ISBN 13 : 0763757721
Total Pages : 471 pages
Book Rating : 4.7/5 (637 download)

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Book Synopsis A First Course in Complex Analysis with Applications by : Dennis Zill

Download or read book A First Course in Complex Analysis with Applications written by Dennis Zill and published by Jones & Bartlett Learning. This book was released on 2009 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

Twenty Papers on Analytic Functions and Ordinary Differential Equations

Author : V. G. Boltyanskii
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895993
Total Pages : 390 pages
Book Rating : 4.8/5 (959 download)

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Book Synopsis Twenty Papers on Analytic Functions and Ordinary Differential Equations by : V. G. Boltyanskii

Download or read book Twenty Papers on Analytic Functions and Ordinary Differential Equations written by V. G. Boltyanskii and published by American Mathematical Soc.. This book was released on 1961-12-31 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numbers and Functions

Author : R. P. Burn
Publisher : Cambridge University Press
ISBN 13 : 9780521788366
Total Pages : 384 pages
Book Rating : 4.7/5 (883 download)

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Book Synopsis Numbers and Functions by : R. P. Burn

Download or read book Numbers and Functions written by R. P. Burn and published by Cambridge University Press. This book was released on 2000-08-28 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work should aid students in the transition from studying calculus in schools to studying mathematical analysis at university. It helps them tackle a sequence of problems to concepts, definitions and proofs of classical real analysis.

An Introduction to Mathematical Analysis

Author : Robert A. Rankin
Publisher : Elsevier
ISBN 13 : 1483137309
Total Pages : 625 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis An Introduction to Mathematical Analysis by : Robert A. Rankin

Download or read book An Introduction to Mathematical Analysis written by Robert A. Rankin and published by Elsevier. This book was released on 2016-06-06 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Mathematical Analysis is an introductory text to mathematical analysis, with emphasis on functions of a single real variable. Topics covered include limits and continuity, differentiability, integration, and convergence of infinite series, along with double series and infinite products. This book is comprised of seven chapters and begins with an overview of fundamental ideas and assumptions relating to the field operations and the ordering of the real numbers, together with mathematical induction and upper and lower bounds of sets of real numbers. The following chapters deal with limits of real functions; differentiability and maxima, minima, and convexity; elementary properties of infinite series; and functions defined by power series. Integration is also considered, paying particular attention to the indefinite integral; interval functions and functions of bounded variation; the Riemann-Stieltjes integral; the Riemann integral; and area and curves. The final chapter is devoted to convergence and uniformity. This monograph is intended for mathematics students.

Recent Work on Families of Periodic Solutions of Differential Equations

Author : Daniel C. Lewis (Jr.)
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Recent Work on Families of Periodic Solutions of Differential Equations by : Daniel C. Lewis (Jr.)

Download or read book Recent Work on Families of Periodic Solutions of Differential Equations written by Daniel C. Lewis (Jr.) and published by . This book was released on 1959 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report gives a comprehensive survey of an attempted global theory of perturbationof periodic solutions of systems of ordinary differential equations containing a parameter. Various other topics of independent interest related to this theory were also treated in the papers prepared under this contract but cannot be abstracted here.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 1338 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 1338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Encyclopedia Americana

Author :
Publisher :
ISBN 13 :
Total Pages : 642 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Encyclopedia Americana by :

Download or read book The Encyclopedia Americana written by and published by . This book was released on 1924 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Behavior and Stability Problems in Ordinary Differential Equations

Author : Lamberto Cesari
Publisher : Springer
ISBN 13 : 3662403684
Total Pages : 278 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Asymptotic Behavior and Stability Problems in Ordinary Differential Equations by : Lamberto Cesari

Download or read book Asymptotic Behavior and Stability Problems in Ordinary Differential Equations written by Lamberto Cesari and published by Springer. This book was released on 2013-11-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.

Complex Manifolds and Deformation of Complex Structures

Author : K. Kodaira
Publisher : Springer Science & Business Media
ISBN 13 : 1461385903
Total Pages : 476 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Complex Manifolds and Deformation of Complex Structures by : K. Kodaira

Download or read book Complex Manifolds and Deformation of Complex Structures written by K. Kodaira and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea which goes back to Riemann who, in his famous memoir on Abelian functions published in 1857, calculated the number of effective parameters on which the deformation depends. Since the publication of Riemann's memoir, questions concerning the deformation of the complex structure of Riemann surfaces have never lost their interest. The deformation of algebraic surfaces seems to have been considered first by Max Noether in 1888 (M. Noether: Anzahl der Modulen einer Classe algebraischer Fliichen, Sitz. K6niglich. Preuss. Akad. der Wiss. zu Berlin, erster Halbband, 1888, pp. 123-127). However, the deformation of higher dimensional complex manifolds had been curiously neglected for 100 years. In 1957, exactly 100 years after Riemann's memoir, Frolicher and Nijenhuis published a paper in which they studied deformation of higher dimensional complex manifolds by a differential geometric method and obtained an important result. (A. Fr61icher and A. Nijenhuis: A theorem on stability of complex structures, Proc. Nat. Acad. Sci., U.S.A., 43 (1957), 239-241).

Advance Elements of Optoisolation Circuits

Author : Ofer Aluf
Publisher : Springer
ISBN 13 : 331955316X
Total Pages : 837 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Advance Elements of Optoisolation Circuits by : Ofer Aluf

Download or read book Advance Elements of Optoisolation Circuits written by Ofer Aluf and published by Springer. This book was released on 2017-05-15 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on advanced optoisolation circuits for nonlinearity applications in engineering addresses two separate engineering and scientific areas, and presents advanced analysis methods for optoisolation circuits that cover a broad range of engineering applications. The book analyzes optoisolation circuits as linear and nonlinear dynamical systems and their limit cycles, bifurcation, and limit cycle stability by using Floquet theory. Further, it discusses a broad range of bifurcations related to optoisolation systems: cusp-catastrophe, Bautin bifurcation, Andronov-Hopf bifurcation, Bogdanov-Takens (BT) bifurcation, fold Hopf bifurcation, Hopf-Hopf bifurcation, Torus bifurcation (Neimark-Sacker bifurcation), and Saddle-loop or Homoclinic bifurcation. Floquet theory helps as to analyze advance optoisolation systems. Floquet theory is the study of the stability of linear periodic systems in continuous time. Another way to describe Floquet theory, it is the study of linear systems of differential equations with periodic coefficients. The optoisolation system displays a rich variety of dynamical behaviors including simple oscillations, quasi-periodicity, bi-stability between periodic states, complex periodic oscillations (including the mixed-mode type), and chaos. The route to chaos in this optoisolation system involves a torus attractor which becomes destabilized and breaks up into a fractal object, a strange attractor. The book is unique in its emphasis on practical and innovative engineering applications. These include optocouplers in a variety of topological structures, passive components, conservative elements, dissipative elements, active devices, etc. In each chapter, the concept is developed from the basic assumptions up to the final engineering outcomes. The scientific background is explained at basic and advanced levels and closely integrated with mathematical theory. The book is primarily intended for newcomers to linear and nonlinear dynamics and advanced optoisolation circuits, as well as electrical and electronic engineers, students and researchers in physics who read the first book “Optoisolation Circuits Nonlinearity Applications in Engineering”. It is ideally suited for engineers who have had no formal instruction in nonlinear dynamics, but who now desire to bridge the gap between innovative optoisolation circuits and advanced mathematical analysis methods.

General Theory of Light Propagation and Imaging Through the Atmosphere

Author : T. Stewart McKechnie
Publisher : Springer
ISBN 13 : 3319182099
Total Pages : 639 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis General Theory of Light Propagation and Imaging Through the Atmosphere by : T. Stewart McKechnie

Download or read book General Theory of Light Propagation and Imaging Through the Atmosphere written by T. Stewart McKechnie and published by Springer. This book was released on 2015-08-05 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays out a new, general theory of light propagation and imaging through Earth’s turbulent atmosphere. Current theory is based on the – now widely doubted – assumption of Kolmogorov turbulence. The new theory is based on a generalized atmosphere, the turbulence characteristics of which can be established, as needed, from readily measurable properties of point-object, or star, images. The pessimistic resolution predictions of Kolmogorov theory led to lax optical tolerance prescriptions for large ground-based astronomical telescopes which were widely adhered to in the 1970s and 1980s. Around 1990, however, it became clear that much better resolution was actually possible, and Kolmogorov tolerance prescriptions were promptly abandoned. Most large telescopes built before 1990 have had their optics upgraded (e.g., the UKIRT instrument) and now achieve, without adaptive optics (AO), almost an order of magnitude better resolution than before. As well as providing a more comprehensive and precise understanding of imaging through the atmosphere with large telescopes (both with and without AO), the new general theory also finds applications in the areas of laser communications and high-energy laser beam propagation.

Industrial Arts Index

Author :
Publisher :
ISBN 13 :
Total Pages : 1550 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Industrial Arts Index by :

Download or read book Industrial Arts Index written by and published by . This book was released on 1923 with total page 1550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytic, Algebraic and Geometric Aspects of Differential Equations

Author : Galina Filipuk
Publisher : Birkhäuser
ISBN 13 : 3319528424
Total Pages : 472 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Analytic, Algebraic and Geometric Aspects of Differential Equations by : Galina Filipuk

Download or read book Analytic, Algebraic and Geometric Aspects of Differential Equations written by Galina Filipuk and published by Birkhäuser. This book was released on 2017-06-23 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics. The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.