Elements Of Real Analysis PDF Download
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Author | : Charles G. Denlinger |
Publisher | : Jones & Bartlett Publishers |
Total Pages | : 769 |
Release | : 2010-05-08 |
Genre | : Mathematics |
ISBN | : 1449659934 |
Download Elements of Real Analysis Book in PDF, ePub and Kindle
Elementary Real Analysis is a core course in nearly all mathematics departments throughout the world. It enables students to develop a deep understanding of the key concepts of calculus from a mature perspective. Elements of Real Analysis is a student-friendly guide to learning all the important ideas of elementary real analysis, based on the author's many years of experience teaching the subject to typical undergraduate mathematics majors. It avoids the compact style of professional mathematics writing, in favor of a style that feels more comfortable to students encountering the subject for the first time. It presents topics in ways that are most easily understood, yet does not sacrifice rigor or coverage. In using this book, students discover that real analysis is completely deducible from the axioms of the real number system. They learn the powerful techniques of limits of sequences as the primary entry to the concepts of analysis, and see the ubiquitous role sequences play in virtually all later topics. They become comfortable with topological ideas, and see how these concepts help unify the subject. Students encounter many interesting examples, including "pathological" ones, that motivate the subject and help fix the concepts. They develop a unified understanding of limits, continuity, differentiability, Riemann integrability, and infinite series of numbers and functions.
Author | : Murray H. Protter |
Publisher | : Springer Science & Business Media |
Total Pages | : 284 |
Release | : 2006-03-29 |
Genre | : Mathematics |
ISBN | : 0387227490 |
Download Basic Elements of Real Analysis Book in PDF, ePub and Kindle
From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed, backed by illustrative examples throughout and no less than 45 figures.
Author | : David A. Sprecher |
Publisher | : Courier Corporation |
Total Pages | : 357 |
Release | : 2012-04-25 |
Genre | : Mathematics |
ISBN | : 0486153258 |
Download Elements of Real Analysis Book in PDF, ePub and Kindle
Classic text explores intermediate steps between basics of calculus and ultimate stage of mathematics — abstraction and generalization. Covers fundamental concepts, real number system, point sets, functions of a real variable, Fourier series, more. Over 500 exercises.
Author | : Charles Denlinger |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 769 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0763779474 |
Download Elements of Real Analysis Book in PDF, ePub and Kindle
A student-friendly guide to learning all the important ideas of elementary real analysis, this resource is based on the author's many years of experience teaching the subject to typical undergraduate mathematics majors.
Author | : M.A. Al-Gwaiz |
Publisher | : CRC Press |
Total Pages | : 448 |
Release | : 2006-08-21 |
Genre | : Mathematics |
ISBN | : 142001160X |
Download Elements of Real Analysis Book in PDF, ePub and Kindle
Focusing on one of the main pillars of mathematics, Elements of Real Analysis provides a solid foundation in analysis, stressing the importance of two elements. The first building block comprises analytical skills and structures needed for handling the basic notions of limits and continuity in a simple concrete setting while the second component involves conducting analysis in higher dimensions and more abstract spaces. Largely self-contained, the book begins with the fundamental axioms of the real number system and gradually develops the core of real analysis. The first few chapters present the essentials needed for analysis, including the concepts of sets, relations, and functions. The following chapters cover the theory of calculus on the real line, exploring limits, convergence tests, several functions such as monotonic and continuous, power series, and theorems like mean value, Taylor's, and Darboux's. The final chapters focus on more advanced theory, in particular, the Lebesgue theory of measure and integration. Requiring only basic knowledge of elementary calculus, this textbook presents the necessary material for a first course in real analysis. Developed by experts who teach such courses, it is ideal for undergraduate students in mathematics and related disciplines, such as engineering, statistics, computer science, and physics, to understand the foundations of real analysis.
Author | : M.D.Raisinghania |
Publisher | : S. Chand Publishing |
Total Pages | : 744 |
Release | : 2003-06 |
Genre | : Science |
ISBN | : 8121903068 |
Download Elements of Real Analysis Book in PDF, ePub and Kindle
This book is an attempt to make presentation of Elements of Real Analysis more lucid. The book contains examples and exercises meant to help a proper understanding of the text. For B.A., B.Sc. and Honours (Mathematics and Physics), M.A. and M.Sc. (Mathematics) students of various Universities/ Institutions.As per UGC Model Curriculum and for I.A.S. and Various other competitive exams.
Author | : Herbert S. Gaskill |
Publisher | : Upper Saddle River, NJ : Prentice Hall |
Total Pages | : 520 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : |
Download Elements of Real Analysis Book in PDF, ePub and Kindle
Comprehensive in coverage, this book explores the principles of logic, the axioms for the real numbers, limits of sequences, limits of functions, differentiation and integration, infinite series, convergence, and uniform convergence for sequences of real-valued functions. Concepts are presented slowly and include the details of calculations as well as substantial explanations as to how and why one proceeds in the given manner.Uses the words WHY? and HOW? throughout; inviting readers to become active participants and to supply a missing argument or a simple calculation. Contains more than 1000 individual exercises. Stresses and reviews elementary algebra and symbol manipulation as essential tools for success at the kind of computations required in dealing with limiting processes.
Author | : Maxwell Rosenlicht |
Publisher | : Courier Corporation |
Total Pages | : 270 |
Release | : 2012-05-04 |
Genre | : Mathematics |
ISBN | : 0486134687 |
Download Introduction to Analysis Book in PDF, ePub and Kindle
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 | : Omar Hijab |
Publisher | : Springer Science & Business Media |
Total Pages | : 370 |
Release | : 2011-03-19 |
Genre | : Mathematics |
ISBN | : 1441994882 |
Download Introduction to Calculus and Classical Analysis Book in PDF, ePub and Kindle
This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material. Some features of the text include: The text is completely self-contained and starts with the real number axioms; The integral is defined as the area under the graph, while the area is defined for every subset of the plane; There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; and There are 385 problems with all the solutions at the back of the text.
Author | : Robert S. Strichartz |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 764 |
Release | : 2000 |
Genre | : Computers |
ISBN | : 9780763714970 |
Download The Way of Analysis Book in PDF, ePub and Kindle
The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.