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Author : Kenneth A. Ross
Publisher : CUP Archive
Page : 192 pages
File Size : 45,5 Mb
Release : 2014-01-15
Category : Mathematics
ISBN : 8210379456XXX
Author : Steven R. Lay
Publisher : Pearson
Page : 401 pages
File Size : 40,7 Mb
Release : 2015-12-03
Category : Mathematics
ISBN : 9780321998149
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For courses in undergraduate Analysis and Transition to Advanced Mathematics. Analysis with an Introduction to Proof, Fifth Edition helps fill in the groundwork students need to succeed in real analysis—often considered the most difficult course in the undergraduate curriculum. By introducing logic and emphasizing the structure and nature of the arguments used, this text helps students move carefully from computationally oriented courses to abstract mathematics with its emphasis on proofs. Clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers make this text readable, student-oriented, and teacher- friendly.
Author : Charles Chapman Pugh
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 48,7 Mb
Release : 2013-03-19
Category : Mathematics
ISBN : 9780387216843
Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.
Author : Kenneth A. Ross
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 54,9 Mb
Release : 1980-03-03
Category : Mathematics
ISBN : 038790459X
Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
Author : Brian S. Thomson,Judith B. Bruckner,Andrew M. Bruckner
Publisher : Unknown
Page : 0 pages
File Size : 44,5 Mb
Release : 2008
Category : Mathematical analysis
ISBN : 143489620X
VolumeTwo contains Chapters 9-13 of Elementary Real Analysis, by Thomson, Bruckner and Bruckner. Originally published by Prentice Hall (Pearson) in 2001. This is the second corrected edition. Volume One and the full text are also available as trade paperbacks. All of our textbooks are available for FREE DOWNLOAD in versions for on-screen viewing. Information is at ClassicalRealAnalysis.com.Chapter 9. Sequences and Series of FunctionsChapter 10. Power SeriesChapter 11. Euclidean Space R^nChapter 12. Differentiation on R^nChapter 13. Metric Spaces.
Author : Georgi E. Shilov
Publisher : Courier Corporation
Page : 354 pages
File Size : 43,8 Mb
Release : 2013-04-15
Category : Mathematics
ISBN : 9780486318684
Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.
Author : Albert Dakin,Ronald Irving Porter
Publisher : Unknown
Page : 128 pages
File Size : 42,6 Mb
Release : 1949
Category : Calculus
ISBN : OCLC:222619368
Author : Brian S. Thomson,Andrew M. Bruckner
Publisher : Unknown
Page : 735 pages
File Size : 52,7 Mb
Release : 2006
Category : Mathematical analysis
ISBN : 7040177889
理科类系列教材
Author : Atkinson
Publisher : John Wiley & Sons
Page : 580 pages
File Size : 45,6 Mb
Release : 2009-07
Category : Electronic
ISBN : 8126508027
Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized and rewritten content, as well as some new additional examples and problems.The text introduces core areas of numerical analysis and scientific computing along with basic themes of numerical analysis such as the approximation of problems by simpler methods, the construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas, and the effects of machine arithmetic.· Taylor Polynomials · Error and Computer Arithmetic · Rootfinding · Interpolation and Approximation · Numerical Integration and Differentiation · Solution of Systems of Linear Equations · Numerical Linear Algebra: Advanced Topics · Ordinary Differential Equations · Finite Difference Method for PDEs
Author : Sterling K. Berberian
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 41,8 Mb
Release : 2012-09-10
Category : Mathematics
ISBN : 9781441985484
Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.
Author : Jerrold E. Marsden,Michael J. Hoffman
Publisher : Macmillan
Page : 760 pages
File Size : 53,9 Mb
Release : 1993-03-15
Category : Mathematics
ISBN : 0716721058
Designed for courses in advanced calculus and introductory real analysis, Elementary Classical Analysis strikes a careful balance between pure and applied mathematics with an emphasis on specific techniques important to classical analysis without vector calculus or complex analysis. Intended for students of engineering and physical science as well as of pure mathematics.
Author : Harold Gordon 1921- Eggleston
Publisher : Hassell Street Press
Page : 300 pages
File Size : 45,7 Mb
Release : 2021-09-09
Category : Electronic
ISBN : 1014644224
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Asuman G. Aksoy,Mohamed A. Khamsi
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 49,7 Mb
Release : 2010-03-10
Category : Mathematics
ISBN : 9781441912961
Education is an admirable thing, but it is well to remember from time to time that nothing worth knowing can be taught. Oscar Wilde, “The Critic as Artist,” 1890. Analysis is a profound subject; it is neither easy to understand nor summarize. However, Real Analysis can be discovered by solving problems. This book aims to give independent students the opportunity to discover Real Analysis by themselves through problem solving. ThedepthandcomplexityofthetheoryofAnalysiscanbeappreciatedbytakingaglimpseatits developmental history. Although Analysis was conceived in the 17th century during the Scienti?c Revolution, it has taken nearly two hundred years to establish its theoretical basis. Kepler, Galileo, Descartes, Fermat, Newton and Leibniz were among those who contributed to its genesis. Deep conceptual changes in Analysis were brought about in the 19th century by Cauchy and Weierstrass. Furthermore, modern concepts such as open and closed sets were introduced in the 1900s. Today nearly every undergraduate mathematics program requires at least one semester of Real Analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of this book is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, we hope that learning analysis becomes less taxing and thereby more satisfying.
Author : Georgi E. Shilov,Georgij Evgen'evi? Šilov,Richard A. Silverman
Publisher : Courier Corporation
Page : 548 pages
File Size : 50,9 Mb
Release : 1996-01-01
Category : Mathematics
ISBN : 0486689220
Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.
Author : N. L. Carothers
Publisher : Cambridge University Press
Page : 420 pages
File Size : 42,5 Mb
Release : 2000-08-15
Category : Mathematics
ISBN : 0521497566
A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.