ISBN: 9781041045632 - a course in real analysis (21 risultati)

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Hardback. Condizione: New. Now in its second editon, A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus. It proceeds gradually from an axiomatic characterization of the real number system to the study of differentiation and integration on m-dimensional surfaces. Proofs of theorems are given in detail, and many examples are provided to illustrate the concepts expressed in the theorems.The book consists of three parts. Part I treats the calculus of functions of one variable. Traditional topics such as sequences, continuity, differentiability, Riemann integrability, numerical series, and the convergence of sequences and series of functions are covered. Optional sections on Stirling's formula, Riemann-Stieltjes integration, and other topics are also included.The second part focuses on functions of several variables. It introduces the topological ideas (such as compact and connected sets) needed to describe analytical properties of multivariable functions. This part also discusses differentiability and integrability of multivariable functions, and it develops the theory of differential forms on surfaces in Rn.Many proofs and explanations in the first edition have been revised, and details have been added to clarify the exposition. Part III contains the Appendices on set theory and linear algebra, as well as solutions to some of the exercises are offered, while a full Solutions Manual contains complete solutions to all exercises for qualifying instructors.…

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Hardback. Condizione: New. Now in its second editon, A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus. It proceeds gradually from an axiomatic characterization of the real number system to the study of differentiation and integration on m-dimensional surfaces. Proofs of theorems are given in detail, and many examples are provided to illustrate the concepts expressed in the theorems.The book consists of three parts. Part I treats the calculus of functions of one variable. Traditional topics such as sequences, continuity, differentiability, Riemann integrability, numerical series, and the convergence of sequences and series of functions are covered. Optional sections on Stirling's formula, Riemann-Stieltjes integration, and other topics are also included.The second part focuses on functions of several variables. It introduces the topological ideas (such as compact and connected sets) needed to describe analytical properties of multivariable functions. This part also discusses differentiability and integrability of multivariable functions, and it develops the theory of differential forms on surfaces in Rn.Many proofs and explanations in the first edition have been revised, and details have been added to clarify the exposition. Part III contains the Appendices on set theory and linear algebra, as well as solutions to some of the exercises are offered, while a full Solutions Manual contains complete solutions to all exercises for qualifying instructors.…

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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Hugo D. Junghenn is emeritus professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics Princ.…

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Hardcover. Condizione: new. Hardcover. Now in its second editon, A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus. It proceeds gradually from an axiomatic characterization of the real number system to the study of differentiation and integration on m-dimensional surfaces. Proofs of theorems are given in detail, and many examples are provided to illustrate the concepts expressed in the theorems.The book consists of three parts. Part I treats the calculus of functions of one variable. Traditional topics such as sequences, continuity, differentiability, Riemann integrability, numerical series, and the convergence of sequences and series of functions are covered. Optional sections on Stirlings formula, RiemannStieltjes integration, and other topics are also included.The second part focuses on functions of several variables. It introduces the topological ideas (such as compact and connected sets) needed to describe analytical properties of multivariable functions. This part also discusses differentiability and integrability of multivariable functions, and it develops the theory of differential forms on surfaces in Rn.Many proofs and explanations in the first edition have been revised, and details have been added to clarify the exposition. Part III contains the Appendices on set theory and linear algebra, as well as solutions to some of the exercises are offered, while a full Solutions Manual contains complete solutions to all exercises for qualifying instructors. Now in its second edition, this book provides a rigorous treatment of the foundations of differential and integral calculus. Many proofs and explanations in the first edition have been revised, whilst a full solutions manual contains complete solutions to all exercises for qualifying instructors in mathematics. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

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Buch. Condizione: Neu. A Course in Real Analysis | Hugo D. Junghenn | Buch | Einband - fest (Hardcover) | Englisch | 2026 | Chapman and Hall/CRC | EAN 9781041045632 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.…

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Buch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Now in its second edition, this book provides a rigorous treatment of the foundations of differential and integral calculus. Many proofs and explanations in the first edition have been revised, whilst a full solutions manual contains complete solutions to all exercises for qualifying instructors in mathematics.…