37,40 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

Understanding the concepts and methods of real analysis is an essential skill for every undergraduate mathematics student. Written in an easy-to-read style, Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates. Combining an informal style with precision mathematics, Real Analysis covers all the key topics with fully worked examples and exercises with solutions. Featuring: Sequences and series - considering the central notion of a limit.- Continuous functions.- Differentiation.- Integration.- Logarithmic and exponential functions.- Uniform convergence.- Circular functions All these concepts and techniques are deployed in examples in the final chapter to provide the student with a thorough understanding of this challenging subject.

Anbieter: Dodax

Stand: 28.01.2020 Zum Angebot

Stand: 28.01.2020 Zum Angebot

61,42 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and self-contained manner, it features a natural progression of concepts from simple to difficult. Several innovative topics are featured, including differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem, Schwartz distributions, the area formula, Sobolev functions and applications to harmonic functions. Together, the selection of topics forms a sound foundation in real analysis that is particularly suited to students going on to further study in partial differential equations.This second edition of Modern Real Analysis contains many substantial improvements, including the addition of problems for practicing techniques, and an entirely new section devoted to the relationship between Lebesgue and improper integrals. Aimed at graduate students with an understanding of advanced calculus, the text will also appeal to more experienced mathematicians as a useful reference.

Anbieter: Dodax AT

Stand: 28.01.2020 Zum Angebot

Stand: 28.01.2020 Zum Angebot

64,90 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

This is a text for an introductory real analysis for beginners science students with a serious interest in mathematics. Prospective educators or mathematically gifted higher mathematics students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course. In the series of Real Analysis this book Real analysis-I, contains the concepts of Set Theory, Ordered Fields and the Real Numbers, Sequences in R, Functions, Convergence and Continuity, Derivatives, Integration, Infinite Series, Convergence and Continuity in R^n, Derivatives for multivariate functions. This book is useful for the purpose of various competition examinations.

Anbieter: Dodax

Stand: 28.01.2020 Zum Angebot

Stand: 28.01.2020 Zum Angebot

35,00 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Real analysis, or theory of functions of a real variable is a branch of mathematical analysis dealing with the set of real numbers. In particular, it deals with the analytic properties of real functions and sequences, including convergence and limits of sequences of real numbers, the calculus of the real numbers, and continuity, smoothness and related properties of real-valued functions.Real analysis is an area of analysis, which studies concepts such as sequences and their limits, continuity, differentiation, integration and sequences of functions. By definition, real analysis focuses on the real numbers, often including positive or negative infinity.

Anbieter: Dodax AT

Stand: 28.01.2020 Zum Angebot

Stand: 28.01.2020 Zum Angebot

80,24 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

Presents a comprehensive treatment with a global view of the subjectRich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician Advanced Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Basic Real Analysis (available separately or together as a Set via the Related Links nearby), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics.Key topics and features of Advanced Real Analysis:Develops Fourier analysis and functional analysis with an eye toward partial differential equationsIncludes chapters on Sturm Liouville theory, compact self-adjoint operators, Euclidean Fourier analysis, topological vector spaces and distributions, compact and locally compact groups, and aspects of partial differential equationsContains chapters about analysis on manifolds and foundations of probabilityProceeds from the particular to the general, often introducing examples well before a theory that incorporates themIncludes many examples and nearly two hundred problems, and a separate 45-page section gives hints or complete solutions for most of the problemsIncorporates, in the text and especially in the problems, material in which real analysis is used in algebra, in topology, in complex analysis, in probability, in differential geometry, and in applied mathematics of various kindsAdvanced Real Analysis requires of the reader a first course in measure theory, including an introduction to the Fourier transform and to Hilbert and Banach spaces. Some familiarity with complex analysis is helpful for certain chapters. The book is suitable as a text in graduate courses such as Fourier and functional analysis, modern analysis, and partial differential equations. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician. Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics.Key topics and features of Advanced Real Analysis:Develops Fourier analysis and functional analysis with an eye toward partial differential equationsIncludes chapters on Sturm Liouville theory, compact self-adjoint operators, Euclidean Fourier analysis, topological vector spaces and distributions, compact and locally compact groups, and aspects of partial differential equationsContains chapters about analysis on manifolds and foundations of probabilityProceeds from the particular to the general, often introducing examples well before a theory that incorporates themIncludes many examples and nearly two hundred problems, and a separate 45-page section gives hints or complete solutions for most of the problemsIncorporates, in the text and especially in the problems, material in which real analysis is used in algebra, in topology, in complex analysis, in probability, in differential geometry, and in applied mathematics of various kindsAdvanced Real Analysis requires of the reader a first course in measure theory, including an introduction to the Fourier transform and to Hilbert and Banach spaces. Some familiarity with complex analysis is helpful for certain chapters. The book is suitable as a text in graduate courses such as Fourier and functional analysis, modern analysis, and partial differential equations. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician.

Anbieter: Dodax

Stand: 28.01.2020 Zum Angebot

Stand: 28.01.2020 Zum Angebot

66,80 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

Anbieter: Dodax AT

Stand: 28.01.2020 Zum Angebot

Stand: 28.01.2020 Zum Angebot

34,00 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

Anbieter: Dodax

Stand: 28.01.2020 Zum Angebot

Stand: 28.01.2020 Zum Angebot

82,49 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

Anbieter: Dodax AT

Stand: 28.01.2020 Zum Angebot

Stand: 28.01.2020 Zum Angebot

30,60 € *

ggf. zzgl. Versand

ggf. zzgl. Versand

Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovate guide that helps students through their first real analysis course while giving them the solid foundation they need for further study in proof-based math. Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a two-step approach, first showing students how to work backwards to solve the crux of the problem, then showing them how to write it up formally. It takes the time to provide plenty of examples as well as guided fill in the blanks exercises to solidify understanding.

Anbieter: Dodax

Stand: 28.01.2020 Zum Angebot

Stand: 28.01.2020 Zum Angebot