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Author : Ralph Philip Boas
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Primer of Real Functions written by Ralph Philip Boas and published by . This book was released on 1972 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ralph P. Boas
Publisher : Cambridge University Press
ISBN 13 : 9780883850299
Total Pages : 330 pages
Book Rating : 4.8/5 (52 download)
Download or read book A Primer of Real Functions written by Ralph P. Boas and published by Cambridge University Press. This book was released on 1996 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a revised, updated, and significantly augmented edition of a classic Carus Monograph (a bestseller for over 25 years) on the theory of functions of a real variable. Earlier editions of this classic Carus Monograph covered sets, metric spaces, continuous functions, and differentiable functions. The fourth edition adds sections on measurable sets and functions, the Lebesgue and Stieltjes integrals, and applications. The book retains the informal chatty style of the previous editions, remaining accessible to readers with some mathematical sophistication and a background in calculus. The book is, thus, suitable either for self-study or for supplemental reading in a course on advanced calculus or real analysis. Not intended as a systematic treatise, this book has more the character of a sequence of lectures on a variety of interesting topics connected with real functions. Many of these topics are not commonly encountered in undergraduate textbooks: e.g., the existence of continuous everywhere-oscillating functions (via the Baire category theorem); the universal chord theorem; two functions having equal derivatives, yet not differing by a constant; and application of Stieltjes integration to the speed of convergence of infinite series. This book recaptures the sense of wonder that was associated with the subject in its early days. It is a must for mathematics libraries.
Author : KRANTZ
Publisher : Birkhäuser
ISBN 13 : 3034876440
Total Pages : 190 pages
Book Rating : 4.0/5 (348 download)
Download or read book A Primer of Real Analytic Functions written by KRANTZ and published by Birkhäuser. This book was released on 2013-03-09 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.
Author : Ralph P. Boas (Jr.)
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (923 download)
Download or read book A Primer of Real Functions written by Ralph P. Boas (Jr.) and published by . This book was released on 1972 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Boas
Publisher :
ISBN 13 : 9780471084150
Total Pages : 189 pages
Book Rating : 4.0/5 (841 download)
Download or read book Primer of Real Functions written by Boas and published by . This book was released on 1996 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ralph P. Boas (jr.))
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.:/5 (18 download)
Download or read book A Primer of Real Functions written by Ralph P. Boas (jr.)) and published by . This book was released on 1966 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ralph Philip Boas Jr.
Publisher :
ISBN 13 : 9781258428334
Total Pages : 200 pages
Book Rating : 4.4/5 (283 download)
Download or read book A Primer of Real Functions written by Ralph Philip Boas Jr. and published by . This book was released on 2012-07-01 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. C. M. van Rooij
Publisher : Cambridge University Press
ISBN 13 : 9780521239448
Total Pages : 222 pages
Book Rating : 4.2/5 (394 download)
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.
Author : Stanislaw Lojasiewicz
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (5 download)
Download or read book An Introduction to the Theory of Real Functions written by Stanislaw Lojasiewicz and published by . This book was released on 1988-08-18 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, classical approach to the theory of real functions, set in the topological context of metric spaces. Newly translated by G. H. Lawden of the Univ. of Sussex and expanded from the earlier Polish editions to include remarks on the extension of finitely many additive functions to a measure, construction of a continuous, non-differential function of a general type, the Banach-Vitali theorem, and Stepanov's theorem. Prerequisites are set theory, topology, and calculus.
Author : Efe A. Ok
Publisher : Princeton University Press
ISBN 13 : 1400840899
Total Pages : 833 pages
Book Rating : 4.4/5 (8 download)
Download or read book Real Analysis with Economic Applications written by Efe A. Ok and published by Princeton University Press. This book was released on 2011-09-05 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many mathematics textbooks on real analysis, but they focus on topics not readily helpful for studying economic theory or they are inaccessible to most graduate students of economics. Real Analysis with Economic Applications aims to fill this gap by providing an ideal textbook and reference on real analysis tailored specifically to the concerns of such students. The emphasis throughout is on topics directly relevant to economic theory. In addition to addressing the usual topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. Efe Ok complements the mathematical development with applications that provide concise introductions to various topics from economic theory, including individual decision theory and games, welfare economics, information theory, general equilibrium and finance, and intertemporal economics. Moreover, apart from direct applications to economic theory, his book includes numerous fixed point theorems and applications to functional equations and optimization theory. The book is rigorous, but accessible to those who are relatively new to the ways of real analysis. The formal exposition is accompanied by discussions that describe the basic ideas in relatively heuristic terms, and by more than 1,000 exercises of varying difficulty. This book will be an indispensable resource in courses on mathematics for economists and as a reference for graduate students working on economic theory.
Author : R. P. BOAS
Publisher : MAA Press
ISBN 13 : 9780883850138
Total Pages : 0 pages
Book Rating : 4.8/5 (51 download)
Download or read book Boas Primer of ∗real Functions∗ 2ed written by R. P. BOAS and published by MAA Press. This book was released on 1978-08-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Petter Langtangen
Publisher : Springer
ISBN 13 : 3662498871
Total Pages : 942 pages
Book Rating : 4.6/5 (624 download)
Download or read book A Primer on Scientific Programming with Python written by Hans Petter Langtangen and published by Springer. This book was released on 2016-07-28 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology and finance. The book teaches "Matlab-style" and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageous to study classical and numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of science and engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen ... does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objects and functions and embracing the object-oriented paradigm. ... Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python ‘on the streets’ could be a little jealous of students who have the opportunity to take a course out of Langtangen’s Primer.” John D. Cook, The Mathematical Association of America, September 2011 This book goes through Python in particular, and programming in general, via tasks that scientists will likely perform. It contains valuable information for students new to scientific computing and would be the perfect bridge between an introduction to programming and an advanced course on numerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March /April 2012 “This fourth edition is a wonderful, inclusive textbook that covers pretty much everything one needs to know to go from zero to fairly sophisticated scientific programming in Python...” Joan Horvath, Computing Reviews, March 2015
Author : Robert M. Young
Publisher : American Mathematical Soc.
ISBN 13 : 1470457202
Total Pages : 429 pages
Book Rating : 4.4/5 (74 download)
Download or read book Excursions in Calculus written by Robert M. Young and published by American Mathematical Soc.. This book was released on 1992-10-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the rich and elegant interplay between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.
Author : Springer
Publisher :
ISBN 13 : 9780817681357
Total Pages : 224 pages
Book Rating : 4.6/5 (813 download)
Download or read book A Primer of Real Analytic Functions written by Springer and published by . This book was released on 2012-09-20 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven George Krantz
Publisher : Birkhauser
ISBN 13 : 9783764342647
Total Pages : 205 pages
Book Rating : 4.3/5 (426 download)
Download or read book A Primer of Real Analytic Functions written by Steven George Krantz and published by Birkhauser. This book was released on 2002 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a pleasure and a privilege to write this new edition of A Primer 0/ Real Ana lytic Functions. The theory of real analytic functions is the wellspring of mathe matical analysis. It is remarkable that this is the first book on the subject, and we want to keep it up to date and as correct as possible. With these thoughts in mind, we have utilized helpful remarks and criticisms from many readers and have thereby made numerous emendations. We have also added material. There is a now a treatment of the Weierstrass preparation theorem, a new argument to establish Hensel's lemma and Puiseux's theorem, a new treat ment of Faa di Bruno's forrnula, a thorough discussion of topologies on spaces of real analytic functions, and a second independent argument for the implicit func tion theorem. We trust that these new topics will make the book more complete, and hence a more useful reference. It is a pleasure to thank our editor, Ann Kostant of Birkhäuser Boston, for mak ing the publishing process as smooth and trouble-free as possible. We are grateful for useful communications from the readers of our first edition, and we look for ward to further constructive feedback.
Author : Alfio Quarteroni
Publisher : Springer Nature
ISBN 13 : 3030445410
Total Pages : 238 pages
Book Rating : 4.0/5 (34 download)
Download or read book A Primer on Mathematical Modelling written by Alfio Quarteroni and published by Springer Nature. This book was released on 2020-10-09 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers. A broad variety of examples and exercises illustrate that properly designed models can, e.g.: predict the way the number of dolphins in the Aeolian Sea will change as food availability and fishing activity vary; describe the blood flow in a capillary network; calculate the PageRank of websites. This book also includes a chapter with an elementary introduction to Octave, an open-source programming language widely used in the scientific community. Octave functions and scripts for dealing with the problems presented in the text can be downloaded from https://paola-gervasio.unibs.it/quarteroni-gervasio This book is addressed to any student interested in learning how to construct and apply mathematical models.
Author : John L. Bell
Publisher : Cambridge University Press
ISBN 13 : 0521887186
Total Pages : 7 pages
Book Rating : 4.5/5 (218 download)
Download or read book A Primer of Infinitesimal Analysis written by John L. Bell and published by Cambridge University Press. This book was released on 2008-04-07 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.
