Advanced Calculus of a Single Variable - Couverture souple

Geveci, Tunc

9783319802206: Advanced Calculus of a Single Variable

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ISBN 10 : 3319802208 ISBN 13 : 9783319802206

Editeur : Springer, 2018

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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 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’H�pital’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 willhelp 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.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

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.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2018
Langue: anglais
ISBN 10: 3319802208
ISBN 13: 9783319802206
Reliure: Broch�
Nombre de pages: 396
Coordonn�es du fabricant: non disponible
Personne responsable: CMN Printpool Inh. Mathis Neumann
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Advanced Calculus of a Single Variable

Tunc Geveci

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ISBN 10 : 3319802208 ISBN 13 : 9783319802206

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Carefully dissects key concepts such as limits of sequence, convergence &amp divergence of monotone sequences, infinite limits, derivatives, integrals, and series of real numbersContextualizes subtle, commonly-misunderstood topics such . N� de r�f. du vendeur 448755390

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Advanced Calculus of a Single Variable

Geveci, Tunc

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Advanced Calculus of a Single Variable

Tunc Geveci

Edit� par Springer International Publishing, Springer International Publishing, 2018

ISBN 10 : 3319802208 ISBN 13 : 9783319802206

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Taschenbuch. Etat : 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'H�pital'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. N� de r�f. du vendeur 9783319802206

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Advanced Calculus of a Single Variable

Tunc Geveci

Edit� par Springer International Publishing Apr 2018, 2018

ISBN 10 : 3319802208 ISBN 13 : 9783319802206

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Taschenbuch. Etat : 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'H�pital'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. N� de r�f. du vendeur 9783319802206

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Advanced Calculus of a Single Variable

Tunc Geveci

Edit� par Springer International Publishing, Springer International Publishing Apr 2018, 2018

ISBN 10 : 3319802208 ISBN 13 : 9783319802206

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. Neuware -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 �-� definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L�H�pital�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 willhelp 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 396 pp. Englisch. N� de r�f. du vendeur 9783319802206

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