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Sinopsis
This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L'Hôpital's rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests).
Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.
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Tunc Geveci is Professor Emeritus in the Department of Mathematics & Statistics at San Diego State University. His main publications have been in the fields of partial differential equations, numerical analysis, and the calculus of variations and optimal control.
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This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on e-d definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L Hôpital s rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests).
Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.
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Advanced Calculus of a Single Variable.
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Cham/Heidelberg/New York/Dordrecht/London, Springer., 2016
ISBN 10: 3319278061
ISBN 13: 9783319278063
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Librería: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Alemania
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XII, 382 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch. Nº de ref. del artículo: 10663DB
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ADVANCED CALCULUS OF A SINGLE VARIABLE
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Advanced Calculus of a Single Variable
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Advanced Calculus of a Single Variable
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Advanced Calculus of a Single Variable
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Springer International Publishing Apr 2016, 2016
ISBN 10: 3319278061
ISBN 13: 9783319278063
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This advanced undergraduate textbook is based on a one-semestercourseonsingle variable calculus that the authorhas been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theoremsthat are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus,such as limits (with an emphasis on -d definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L'Hôpital's rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests).Success in this course isexpected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this.The first semester of advanced calculus can be followed by a rigorous course in multivariablecalculus and an introductory real analysis course that treats the Lebesgue integral and metricspaces, with special emphasis on Banach and Hilbert spaces. 396 pp. Englisch. Nº de ref. del artículo: 9783319278063
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Advanced Calculus of a Single Variable
Publicado por
Springer International Publishing, 2016
ISBN 10: 3319278061
ISBN 13: 9783319278063
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This advanced undergraduate textbook is based on a one-semestercourseonsingle variable calculus that the authorhas been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theoremsthat are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus,such as limits (with an emphasis on -d definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L'Hôpital's rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests).Success in this course isexpected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this.The first semester of advanced calculus can be followed by a rigorous course in multivariablecalculus and an introductory real analysis course that treats the Lebesgue integral and metricspaces, with special emphasis on Banach and Hilbert spaces. Nº de ref. del artículo: 9783319278063
Cantidad disponible: 1 disponibles
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Advanced Calculus of a Single Variable
Impresión bajo demandaLibrería: Revaluation Books, Exeter, Reino Unido
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Hardcover. Condición: Brand New. 396 pages. 9.50x6.50x1.00 inches. In Stock. This item is printed on demand. Nº de ref. del artículo: __3319278061
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Advanced Calculus of a Single Variable
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Condición: New. Nº de ref. del artículo: 25079832-n
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Advanced Calculus of a Single Variable
Publicado por
Springer International Publishing, 2016
ISBN 10: 3319278061
ISBN 13: 9783319278063
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Librería: moluna, Greven, Alemania
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Condición: New. Carefully dissects key concepts such as limits of sequence, convergence & divergence of monotone sequences, infinite limits, derivatives, integrals, and series of real numbersContextualizes subtle, commonly-misunderstood topics such . Nº de ref. del artículo: 101774108
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Advanced Calculus of a Single Variable
Librería: California Books, Miami, FL, Estados Unidos de America
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Condición: New. Nº de ref. del artículo: I-9783319278063
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