Advanced Topics in Mathematical Analysis

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Publisher : CRC Press
ISBN 13 : 1351142119
Total Pages : 588 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Advanced Topics in Mathematical Analysis by : Michael Ruzhansky

Download or read book Advanced Topics in Mathematical Analysis written by Michael Ruzhansky and published by CRC Press. This book was released on 2019-01-08 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.

Topics in Contemporary Mathematical Analysis and Applications

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Publisher : CRC Press
ISBN 13 : 1000204219
Total Pages : 339 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Topics in Contemporary Mathematical Analysis and Applications by : Hemen Dutta

Download or read book Topics in Contemporary Mathematical Analysis and Applications written by Hemen Dutta and published by CRC Press. This book was released on 2020-12-22 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related problems and issues, methods of solutions, and their possible applications or relevancies in other scientific areas. Aims at enriching the understanding of methods, problems, and applications Offers an understanding of research problems by presenting the necessary developments in reasonable details Discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems This book is written for individual researchers, educators, students, and department libraries.

Mathematical Analysis

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Publisher : The Trillia Group
ISBN 13 : 1931705038
Total Pages : 436 pages
Book Rating : 4.9/5 (317 download)

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Book Synopsis Mathematical Analysis by : Elias Zakon

Download or read book Mathematical Analysis written by Elias Zakon and published by The Trillia Group. This book was released on 2009-12-18 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Mathematical Analysis

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3034806361
Total Pages : 510 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Introduction to Mathematical Analysis by : Igor Kriz

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 510 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.​

Topics in Mathematical Analysis and Applications

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Publisher : Springer
ISBN 13 : 3319065548
Total Pages : 814 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Topics in Mathematical Analysis and Applications by : Themistocles M. Rassias

Download or read book Topics in Mathematical Analysis and Applications written by Themistocles M. Rassias and published by Springer. This book was released on 2014-10-13 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.

Mathematical Analysis I

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540403869
Total Pages : 610 pages
Book Rating : 4.4/5 (38 download)

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Book Synopsis Mathematical Analysis I by : Vladimir A. Zorich

Download or read book Mathematical Analysis I written by Vladimir A. Zorich and published by Springer Science & Business Media. This book was released on 2004-01-22 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.

Real Mathematical Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387216847
Total Pages : 445 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Real Mathematical Analysis by : Charles Chapman Pugh

Download or read book Real Mathematical Analysis written by Charles Chapman Pugh and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461207150
Total Pages : 348 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Analysis by : Andrew Browder

Download or read book Mathematical Analysis written by Andrew Browder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.

Topics In Real Analysis

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Publisher : Academic Publishers
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4./5 ( download)

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Book Synopsis Topics In Real Analysis by : Subir Kumar Mukherjee

Download or read book Topics In Real Analysis written by Subir Kumar Mukherjee and published by Academic Publishers. This book was released on 2011 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Concise Approach to Mathematical Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0857293478
Total Pages : 370 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis A Concise Approach to Mathematical Analysis by : Mangatiana A. Robdera

Download or read book A Concise Approach to Mathematical Analysis written by Mangatiana A. Robdera and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces to undergraduates the more abstract concepts of advanced calculus, smoothing the transition from standard calculus to the more rigorous approach of proof writing and a deeper understanding of mathematical analysis. The first part deals with the basic foundation of analysis on the real line; the second part studies more abstract notions in mathematical analysis. Each topic contains a brief introduction and detailed examples.

Topics in Mathematical Analysis and Differential Geometry

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Publisher : World Scientific
ISBN 13 : 9789810231804
Total Pages : 580 pages
Book Rating : 4.2/5 (318 download)

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Book Synopsis Topics in Mathematical Analysis and Differential Geometry by : Nicolas K. Laos

Download or read book Topics in Mathematical Analysis and Differential Geometry written by Nicolas K. Laos and published by World Scientific. This book was released on 1998 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the interplay between mathematical analysis and differential geometry as well as the foundations of these two fields. The development of a unified approach to topological vector spaces, differential geometry and algebraic and differential topology of function manifolds led to the broad expansion of global analysis. This book serves as a self-contained reference on both the prerequisites for further study and the recent research results which have played a decisive role in the advancement of global analysis.

Fundamental Mathematical Analysis

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Publisher : Springer Nature
ISBN 13 : 3030463214
Total Pages : 445 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Fundamental Mathematical Analysis by : Robert Magnus

Download or read book Fundamental Mathematical Analysis written by Robert Magnus and published by Springer Nature. This book was released on 2020-07-14 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a comprehensive undergraduate course in real analysis in one variable. Taking the view that analysis can only be properly appreciated as a rigorous theory, the book recognises the difficulties that students experience when encountering this theory for the first time, carefully addressing them throughout. Historically, it was the precise description of real numbers and the correct definition of limit that placed analysis on a solid foundation. The book therefore begins with these crucial ideas and the fundamental notion of sequence. Infinite series are then introduced, followed by the key concept of continuity. These lay the groundwork for differential and integral calculus, which are carefully covered in the following chapters. Pointers for further study are included throughout the book, and for the more adventurous there is a selection of "nuggets", exciting topics not commonly discussed at this level. Examples of nuggets include Newton's method, the irrationality of π, Bernoulli numbers, and the Gamma function. Based on decades of teaching experience, this book is written with the undergraduate student in mind. A large number of exercises, many with hints, provide the practice necessary for learning, while the included "nuggets" provide opportunities to deepen understanding and broaden horizons.

Introduction to Mathematical Analysis

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Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Mathematical Analysis by : William R. Parzynski

Download or read book Introduction to Mathematical Analysis written by William R. Parzynski and published by McGraw-Hill Companies. This book was released on 1982 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Mathematical Analysis

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Publisher : World Scientific
ISBN 13 : 9812811052
Total Pages : 460 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Topics in Mathematical Analysis by : Paolo Ciatti

Download or read book Topics in Mathematical Analysis written by Paolo Ciatti and published by World Scientific. This book was released on 2008 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide the reader with material otherwise difficult to find and written in a manner which is also accessible to nonexperts."--BOOK JACKET.

An Introduction to Mathematical Analysis

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Publisher : Elsevier
ISBN 13 : 1483137309
Total Pages : 624 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 624 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.

Topics in Algebra and Analysis

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Publisher : Birkhäuser
ISBN 13 : 331911946X
Total Pages : 311 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Topics in Algebra and Analysis by : Radmila Bulajich Manfrino

Download or read book Topics in Algebra and Analysis written by Radmila Bulajich Manfrino and published by Birkhäuser. This book was released on 2015-02-09 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.

An Introduction to Mathematical Analysis

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Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis An Introduction to Mathematical Analysis by : John B. Reade

Download or read book An Introduction to Mathematical Analysis written by John B. Reade and published by . This book was released on 1986 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short introduction to the basic ideas of mathematical analysis, suitable as a course book for first year mathematics students at first-degree level.