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Author : Frank Loxley Griffin
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Introduction to Mathematical Analysis written by Frank Loxley Griffin and published by . This book was released on 1921 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Paul Webber
Publisher : Forgotten Books
ISBN 13 : 9780332295152
Total Pages : 324 pages
Book Rating : 4.2/5 (951 download)
Download or read book Introductory Mathematical Analysis (Classic Reprint) written by W. Paul Webber and published by Forgotten Books. This book was released on 2017-11-30 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Introductory Mathematical Analysis The present course is the result of several years of study and trial in the classroom in an effort to make an introduction to college mathematics more effective, rational and better suited to its place in a scheme of education under modern conditions of life. A broader field has been attempted than is customary in books of its class. This is made possible by certain principles which controlled the construction of the text. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Witold A. J. Kosmala
Publisher : WCB/McGraw-Hill
ISBN 13 : 9780697170026
Total Pages : 477 pages
Book Rating : 4.1/5 (7 download)
Download or read book Introductory Mathematical Analysis written by Witold A. J. Kosmala and published by WCB/McGraw-Hill. This book was released on 1995 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims to provide students with a solid background in analytical mathematics. This book also intends to help the reader appreciate that analytical mathematics ideas are built upon clear, accurate and in-depth explanations.
Author : Winfield Paul Webber
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.:/5 (334 download)
Download or read book Introductory Mathematical Analysis written by Winfield Paul Webber and published by . This book was released on 1919 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maxwell Rosenlicht
Publisher : Courier Corporation
ISBN 13 : 0486134687
Total Pages : 270 pages
Book Rating : 4.4/5 (861 download)
Download or read book Introduction to Analysis written by Maxwell Rosenlicht and published by Courier Corporation. This book was released on 2012-05-04 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.
Author : Robert A. Rankin
Publisher : Elsevier
ISBN 13 : 1483137309
Total Pages : 625 pages
Book Rating : 4.4/5 (831 download)
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.
Author : Bernd S. W. Schröder
Publisher : John Wiley & Sons
ISBN 13 : 9780470226766
Total Pages : 584 pages
Book Rating : 4.2/5 (267 download)
Download or read book Mathematical Analysis written by Bernd S. W. Schröder and published by John Wiley & Sons. This book was released on 2008-01-28 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the fundamentals of mathematical analysis Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics. By focusing on the essentials, reinforcing learning through exercises, and featuring a unique "learn by doing" approach, the book develops the reader's proof writing skills and establishes fundamental comprehension of analysis that is essential for further exploration of pure and applied mathematics. This book is directly applicable to areas such as differential equations, probability theory, numerical analysis, differential geometry, and functional analysis. Mathematical Analysis is composed of three parts: ?Part One presents the analysis of functions of one variable, including sequences, continuity, differentiation, Riemann integration, series, and the Lebesgue integral. A detailed explanation of proof writing is provided with specific attention devoted to standard proof techniques. To facilitate an efficient transition to more abstract settings, the results for single variable functions are proved using methods that translate to metric spaces. ?Part Two explores the more abstract counterparts of the concepts outlined earlier in the text. The reader is introduced to the fundamental spaces of analysis, including Lp spaces, and the book successfully details how appropriate definitions of integration, continuity, and differentiation lead to a powerful and widely applicable foundation for further study of applied mathematics. The interrelation between measure theory, topology, and differentiation is then examined in the proof of the Multidimensional Substitution Formula. Further areas of coverage in this section include manifolds, Stokes' Theorem, Hilbert spaces, the convergence of Fourier series, and Riesz' Representation Theorem. ?Part Three provides an overview of the motivations for analysis as well as its applications in various subjects. A special focus on ordinary and partial differential equations presents some theoretical and practical challenges that exist in these areas. Topical coverage includes Navier-Stokes equations and the finite element method. Mathematical Analysis: A Concise Introduction includes an extensive index and over 900 exercises ranging in level of difficulty, from conceptual questions and adaptations of proofs to proofs with and without hints. These opportunities for reinforcement, along with the overall concise and well-organized treatment of analysis, make this book essential for readers in upper-undergraduate or beginning graduate mathematics courses who would like to build a solid foundation in analysis for further work in all analysis-based branches of mathematics.
Author : Ivor John Maddox
Publisher :
ISBN 13 : 9780852742976
Total Pages : 327 pages
Book Rating : 4.7/5 (429 download)
Download or read book Introductory Mathematical Analysis written by Ivor John Maddox and published by . This book was released on 1977 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Igor Kriz
Publisher : Springer Science & Business Media
ISBN 13 : 3034806361
Total Pages : 517 pages
Book Rating : 4.0/5 (348 download)
Download or read book Introduction to Mathematical Analysis written by Igor Kriz and published by Springer Science & Business Media. This book was released on 2013-07-25 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins at the level of an undergraduate student assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, Lebesgue integral, vector calculus and differential equations. After having built on a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis, as understood by a mathematician today.
Author : W Paul Webber
Publisher : Legare Street Press
ISBN 13 : 9781022034242
Total Pages : 0 pages
Book Rating : 4.0/5 (342 download)
Download or read book Introductory Mathematical Analysis written by W Paul Webber and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to mathematical analysis, including key concepts such as limits and derivatives. Suitable for students at both the undergraduate and graduate level. 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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Edgar D. Eaves
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (5 download)
Download or read book Introductory Mathematical Analysis written by Edgar D. Eaves and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Webber Winfield Paul 1874-1935
Publisher : Hardpress Publishing
ISBN 13 : 9781313101714
Total Pages : 330 pages
Book Rating : 4.1/5 (17 download)
Download or read book Introductory Mathematical Analysis written by Webber Winfield Paul 1874-1935 and published by Hardpress Publishing. This book was released on 2013-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Author : Manfred Stoll
Publisher : CRC Press
ISBN 13 : 1000345149
Total Pages : 501 pages
Book Rating : 4.0/5 (3 download)
Download or read book Introduction to Real Analysis written by Manfred Stoll and published by CRC Press. This book was released on 2021-03-10 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions. A list of updates is found in the Preface to this edition. This text is based on the author’s experience in teaching graduate courses and the minimal requirements for successful graduate study. The text is understandable to the typical student enrolled in the course, taking into consideration the variations in abilities, background, and motivation. Chapters one through six have been written to be accessible to the average student, w hile at the same time challenging the more talented student through the exercises. Chapters seven through ten assume the students have achieved some level of expertise in the subject. In these chapters, the theorems, examples, and exercises require greater sophistication and mathematical maturity for full understanding. In addition to the standard topics the text includes topics that are not always included in comparable texts. Chapter 6 contains a section on the Riemann-Stieltjes integral and a proof of Lebesgue’s t heorem providing necessary and sufficient conditions for Riemann integrability. Chapter 7 also includes a section on square summable sequences and a brief introduction to normed linear spaces. C hapter 8 contains a proof of the Weierstrass approximation theorem using the method of aapproximate identities. The inclusion of Fourier series in the text allows the student to gain some exposure to this important subject. The final chapter includes a detailed treatment of Lebesgue measure and the Lebesgue integral, using inner and outer measure. The exercises at the end of each section reinforce the concepts. Notes provide historical comments or discuss additional topics.
Author : Frank Loxley Griffin
Publisher : Forgotten Books
ISBN 13 : 9780266628750
Total Pages : 34 pages
Book Rating : 4.6/5 (287 download)
Download or read book Answers to Exercises in an Introduction to Mathematical Analysis (Classic Reprint) written by Frank Loxley Griffin and published by Forgotten Books. This book was released on 2017-10-23 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Answers to Exercises in an Introduction to Mathematical Analysis N.b. Very slight inaccuracies in graphical results are to be ignored. Pages 8 - 10 gm., gm., 2. In., ft., in. Yr., 9600. 5. Kg., lb. $24. 7. Mi. Pages 12 - 13 $3990, yr. 2. Yr., yr. 3. $680 per yr. Min., April 20, etc. 5. Larger. 6. 23 d., 81 d. Pages 16 - 18 300 per hr., 820 per hr. 2. Deg./min. 825 mg., T 4. 5200 ft., 1040 610 26 mg./yr. Ft./min. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Said Taan El-Hajjar
Publisher : Xlibris Corporation
ISBN 13 : 9781462887880
Total Pages : 348 pages
Book Rating : 4.8/5 (878 download)
Download or read book Introductory Mathematical Analysis written by Said Taan El-Hajjar and published by Xlibris Corporation. This book was released on 2011-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Mathematical Analysis includes topics from differential and integral calculus that are of interest to students of business, economics, finance and the social sciences. It begins with noncalculus topics such as equations, inequalities, functions, and mathematics of finance. This book contains the theoretical development of the real number system, the continuity, the differentiability, the integration of functions, and the convergence of sequences and series of real numbers. It also includes the development of sequences and series of functions and an analysis of the properties a limit function may inherit from its approximants. It is designed for students who have an intuitive understanding of and basic competency in the standard procedures of the calculus. Some proofs are sufficiently described but are not overdone. Our guiding philosophy led us to build on this foundation in such a way that pupils achieve the elementary results and acquire fundamental skills in higher business and higher calculus. Partially fulfills Core Mathematics requirement.
Author : W. Paul Webber
Publisher : Forgotten Books
ISBN 13 : 9781451002638
Total Pages : 324 pages
Book Rating : 4.0/5 (26 download)
Download or read book Introductory Mathematical Analysis written by W. Paul Webber and published by Forgotten Books. This book was released on 2015-06-11 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Introductory Mathematical Analysis The present course is the result of several years of study and trial in the classroom in an effort to make an introduction to college mathematics more effective, rational and better suited to its place in a scheme of education under modern conditions of life. A broader field has been attempted than is customary in books of its class. This is made possible by certain principles which controlled the construction of the text. One principle on which the course is built is correlation by topics. For example, all methods of calculation have been associated in one chapter and early in the course in order to be available for use in the sequel. The function idea has also been emphasized and used as a means of correlation. Brevity and directness of treatment have contributed to reduce the size of the book. An effort has been made to keep in view of the student the steps in the development of the subject and to point out useful contacts of mathematics with affairs. The first two chapters are intended to be used for review and reference at the discretion of the instructor. Graphic representation and its uses have been given considerable attention. The simple cases of determining empirical formulæ give a very valuable drill in the solution of simultaneous equations and a foundation for later work in the laboratory. The treatment of the trigonometric functions is brief, direct and in some respects more advanced in style than is customary in current texts in trigonometry which are constructed mostly from the secondary school standpoint. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : W. Webber
Publisher : CreateSpace
ISBN 13 : 9781494408848
Total Pages : 320 pages
Book Rating : 4.4/5 (88 download)
Download or read book Introductory Mathematical Analysis written by W. Webber and published by CreateSpace. This book was released on 2013-12 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: An excerpt from the PREFACE: The present course is the result of several years of study and trial in the classroom in an effort to make an introduction to college mathematics more effective, rational and better suited to its place in a scheme of education under modern conditions of life. A broader field has been attempted than is customary in books of its class. This is made possible by certain principles which controlled the construction of the text. One principle on which the course is built is correlation by topics For example, all methods of calculation have been associated in one chapter and early in the course in order to be available for use in the sequel. The function idea has also been emphasized and used as a means of correlation. Brevity and directness of treatment have contributed to reduce the size of the book. An effort has been made to keep in view of the student the steps in the development of the subject and to point out useful contacts of mathematics with affairs. The first two chapters are intended to be used for review and reference at the discretion of the instructor. Graphic representation and its uses have been given considerable attention. The simple cases of determining empirical formula give a very valuable drill in the solution of simultaneous equations and a foundation for later work in the laboratory. The treatment of the trigonometric functions is brief, direct and in some respects more advanced in style than is customary in current texts in trigonometry which are constructed mostly from the secondary school standpoint. Large use of the functions is made in a variety of applications in immediately following chapters. More than usual attention is given to vectors. The value and convenience of vector methods in science and engineering seem to justify this emphasis. The part dealing with vector products and the problems depending on it may, however, be omitted without inconvenience in later chapters. The chapter on series may seem a little heavy for freshmen but it comes in the second half of the course and is directly applied to functions within the experience of the student in the preceding text. What is given on differential and integral calculus is intended as an introduction for those who are to take the regular and fuller course in calculus. For those who are not to continue their mathematics it will furnish an introduction to the methods of calculus and some important definite applications. The integral has first been regarded as the inverse of the derivative and nothing is said about the differential. This seems natural and in accord with the idea of the solution of differential equations under many actual conditions where a function is sought whose derivative is given. Following, the integral is regarded as a summation of elements and some further applications are introduced. In the list of integrals for reference both the inverse and the differential forms are given. In general no effort at rigor beyond reasonable conviction has been attempted. Proofs have been given for some theorems that many teachers may prefer to regard as assumptions. These proofs may, therefore, be omitted at the discretion of the teacher. A number of what appear as theorems in some texts are here given as exercises. For this reason it is recommended that each student be held for practically all the exercises appearing regularly through the text. Selections may be made at the instructor's discretion from the exercises at the end of each chapter....
