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Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or establishedA comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematicsIncluded throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most. Basic 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 Advanced 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 Basic Real Analysis:Early chapters treat the fundamentals of real variables, sequences and series of functions, the theory of Fourier series for the Riemann integral, metric spaces, and the theoretical underpinnings of multivariable calculus and differential equationsSubsequent chapters develop the Lebesgue theory in Euclidean and abstract spaces, Fourier series and the Fourier transform for the Lebesgue integral, point-set topology, measure theory in locally compact Hausdorff spaces, and the basics of Hilbert and Banach spacesThe subjects of Fourier series and harmonic functions are used as recurring motivation for a number of theoretical developmentsThe development proceeds from the particular to the general, often introducing examples well before a theory that incorporates themThe text includes many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most of the problemsBasic Real Analysis requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. 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 Basic 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 Basic Real Analysis:Early chapters treat the fundamentals of real variables, sequences and series of functions, the theory of Fourier series for the Riemann integral, metric spaces, and the theoretical underpinnings of multivariable calculus and differential equationsSubsequent chapters develop the Lebesgue theory in Euclidean and abstract spaces, Fourier series and the Fourier transform for the Lebesgue integral, point-set topology, measure theory in locally compact Hausdorff spaces, and the basics of Hilbert and Banach spacesThe subjects of Fourier series and harmonic functions are used as recurring motivation for a number of theoretical developmentsThe development proceeds from the particular to the general, often introducing examples well before a theory that incorporates themThe text includes many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most of the problemsBasic Real Analysis requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. 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 Basic Real Analysis make it a welcome addition to the personal library of every mathematician.

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74,89 € *

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This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language.The text is a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable. The chapters on Lebesgue measure and integral have been rewritten entirely and greatly improved. They now contain Lebesgue's differentiation theorem as well as his versions of the Fundamental Theorem(s) of Calculus.With expanded chapters, additional problems, and an expansive solutions manual, Basic Real Analysis , Second Edition is ideal for senior undergraduates and first-year graduate students, both as a classroom text and a self-study guide.Reviews of first edition:The book is a clear and well-structured introduction to real analysis aimed at senior undergraduate and beginning graduate students. The prerequisites are few, but a certain mathematical sophistication is required. ... The text contains carefully worked out examples which contribute motivating and helping to understand the theory. There is also an excellent selection of exercises within the text and problem sections at the end of each chapter. In fact, this textbook can serve as a source of examples and exercises in real analysis. -Zentralblatt MATH The quality of the exposition is good: strong and complete versions of theorems are preferred, and the material is organised so that all the proofs are of easily manageable length, motivational comments are helpful, and there are plenty of illustrative examples. The reader is strongly encouraged to learn by doing: exercises are sprinkled liberally throughout the text and each chapter ends with a set of problems, about 650 in all, some of which are of considerable intrinsic interest. -Mathematical Reviews [This text] introduces upper-division undergraduate or first-year graduate students to real analysis.... Problems and exercises abound, an appendix constructs the reals as the Cauchy (sequential) completion of the rationals, references are copious and judiciously chosen, and a detailed index brings up the rear. -CHOICE Reviews

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51,30 € *

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The purpose of this book is to make available to the student some fundamentals of mathematical analysis. Specifically, it is intended to make such fundamentals available in a form that meets their need in many applications, like real analysis, integration, measure theory, and representation theory. The principal point of view is to develop the basic structures of analysis, under which one can appropriately go on further in the domain of functional analysis. The book is intended to be essentially self contained and accessible to well-trained under graduated students. Its prerequisites are elementary standards from basic algebra. In writing this book, we care about doing things as little abstract as possible. So, to make easy the access to the main concepts, each section of each chapter is illustrated by simple examples and exercises, which are mostly applications to concrete problems.

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74,49 € *

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Erscheinungsdatum: 28.09.2012, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Basic Real Analysis, Auflage: Softcover reprint of the original 1st ed. 2003, Autor: Sohrab, Houshang H., Verlag: Birkhäuser Boston, Sprache: Englisch, Schlagworte: Mathematische Grundlagen // Mathematische Analysis // allgemein // Reelle Analysis // Real-Variablen // Integralrechnung und // gleichungen, Rubrik: Mathematik // Analysis, Seiten: 576, Informationen: Paperback, Gewicht: 861 gr, Verkäufer: averdo

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99,99 € *

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Erscheinungsdatum: 31.12.1989, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Basic Growth Analysis, Titelzusatz: Plant growth analysis for beginners, Auflage: Softcover reprint of the original 1st ed. 1990, Autor: Hunt, R., Verlag: Springer Netherlands // Springer Netherland, Sprache: Englisch, Schlagworte: Zoologie und Tierwissenschaften, Rubrik: Botanik, Seiten: 128, Informationen: Paperback, Gewicht: 207 gr, Verkäufer: averdo

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81,29 € *

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Erscheinungsdatum: 01/2015, Medium: Buch, Einband: Gebunden, Titel: Basic Real Analysis, Auflage: 2. Auflage von 2014 // 2nd ed. 2014, Autor: Sohrab, Houshang H., Verlag: Springer-Verlag GmbH // Springer US, Imprint: Birkhäuser, Sprache: Englisch, Schlagworte: Analysis // Calculus // Reelle Zahlen // Zahl // Mathematik // Logik // Gleichung // Integralgleichung // Integralrechnung // Integration // mathematisch // MATHEMATICS // Mathematical Analysis // Integralrechnung und // gleichungen // Reelle Analysis // Real-Variablen, Rubrik: Mathematik // Analysis, Seiten: 683, Abbildungen: Bibliographie, Herkunft: GROSSBRITANNIEN (GB), Informationen: Book, Gewicht: 1176 gr, Verkäufer: averdo

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28,39 € *

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Erscheinungsdatum: 29.11.1993, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Basic Analysis of Regularized Series and Products, Auflage: 1993, Autor: Jorgenson, Jay // Lang, Serge, Verlag: Springer Berlin Heidelberg // Springer Berlin, Sprache: Englisch, Schlagworte: Analysis // Calculus // Differenzialgeometrie // Geometrie // Zahlentheorie // Mathematische Analysis // allgemein, Rubrik: Mathematik // Wahrscheinlichkeitstheorie, Seiten: 140, Informationen: Paperback, Gewicht: 189 gr, Verkäufer: averdo

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