Classical Complex Analysis

 
9789380108957: Classical Complex Analysis

Classic Complex Analysis is a text that has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses on the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mobius transformations are presented with emphasis on the geometric aspect, and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Functions, Analytic Continuation, Normal Families, Conformal Mapping, and Harmonic Functions.

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1.

Liang-Shin Hahn
Editorial: JONES AND BARTLETT INDIA PRIVATE LIMITED (2010)
ISBN 10: 9380108958 ISBN 13: 9789380108957
Nuevos Paperback Cantidad: 20
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Descripción JONES AND BARTLETT INDIA PRIVATE LIMITED, 2010. Paperback. Estado de conservación: New. with Sewing. Nº de ref. de la librería VIVA-9789380108957

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Liang-Shin Hahn
Editorial: JONES AND BARTLETT (2010)
ISBN 10: 9380108958 ISBN 13: 9789380108957
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Descripción JONES AND BARTLETT, 2010. Soft cover. Estado de conservación: New. Nº de ref. de la librería 377641

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Liang-Shin Hahn
Editorial: JONES AND BARTLETT INDIA PRIVATE LIMITED
ISBN 10: 9380108958 ISBN 13: 9789380108957
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Descripción JONES AND BARTLETT INDIA PRIVATE LIMITED. Estado de conservación: New. Nº de ref. de la librería AVS-9789380108957

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Liang-Shin Hahn
Editorial: JONES AND BARTLETT INDIA PRIVATE LIMITED (2010)
ISBN 10: 9380108958 ISBN 13: 9789380108957
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Descripción JONES AND BARTLETT INDIA PRIVATE LIMITED, 2010. Paperback. Estado de conservación: New. with Sewing. Nº de ref. de la librería VIVA-9789380108957

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5.

Liang-Shin Hahn
Editorial: JONES AND BARTLETT INDIA PRIVATE LIMITED
ISBN 10: 9380108958 ISBN 13: 9789380108957
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Descripción JONES AND BARTLETT INDIA PRIVATE LIMITED. Estado de conservación: New. Nº de ref. de la librería AVS-9789380108957

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6.

Bernard Epstein,Liang-Shin Hahn
Editorial: Jones & Bartlett India Private Limited/Viva Books (2011)
ISBN 10: 9380108958 ISBN 13: 9789380108957
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Descripción Jones & Bartlett India Private Limited/Viva Books, 2011. Softcover. Estado de conservación: New. First edition. Ideal for an introductory course in complex analysis at the advanced undergraduate or graduate level, this text has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses in the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mödius transformations are presented with emphasis on the geometric aspect and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Function, Analytic Continuation, Normal families, Conformal Mapping, and Harmonic Functions. Key Features: ? Power Series approach gives students a chance to review calculus and discover complex analysis is a natural extension of calculus ? Unique coverage of Phragmén-Lindelöf Theorem (§10.4), the Runge Approximation Theorem (§6.6), Conformal Mappings of Multiply-Connected Regions (§7.9), and Extensions of Theorems of MittagLeffler and Weierstrass (§7.3) ? Also unique is the comparisons of Complex Analysis and Real analysis in Chapter 4,5, and 9 ? New, elementary proof of the Picard Theorems in Chapter 12 ? Generous exercise sets are a treasure trove of interesting and challenging problems ? Over 60 illustrations help the reader visualize complex relationships Contents: Chapter 1: Complex Numbers: The Complex Field ? Geometric Representation ? The Riemann Sphere ? Exercises ? Chapter 2: Power Series: Sequences ? Series ? Some Terminology about the Topology of the Complex Plane ? Uniform Convergence ? Geometric Series ? Circle of Convergence ? Uniqueness ? Differentiation of Power Series ? Some Elementary Functions ? The Maximum and Minimum Modulus Principles ? Exercises ? Chapter 3: Analytic Functions: The Cauchy-Riemann Differential Equations ? Harmonic Functions? Geometric Significance of the Derivative ? Möbius Transformations ? Exercises ? Chapter 4: The Cauchy Theorem: Some Remarks on Curves ? Line Integrals ? The Cauchy-Goursat Theorem ? The Cauchy Integral Formula ? The Morera Theorem ? Exercises ? Chapter 5: Singularities and Residues: Laurent Series ? Isolated Singularities ? Rational Functions ? Residues ? Evaluation of Real Integrals ? The Argument Principle ? Exercises ? Chapter 6: The Maximum Modulus Principle: The Maximum and Minimum Modulus Principles, Revisited ? The Schwarz Lemma ? The Three-Circle Theorem ? A Maximum Theorem for an Unbounded Region ? The Three-Line Theorem ? The Phragmén-Lindelöf Theorems ? Exercises ? Chapter 7: Entire and Meromorphic Functions: The Mittag-Leffler Theorem ? A Theorem of Weierstrass ? Extensions of Theorems of Mittag-Leffler and Weierstrass ? Infinite Products ? Blaschke Products ? The Factorization of Entire Functions ? The Jensen Formula ? Entire Functions of Finite Order ? The Runge Approximation ? Theorem ? Exercises ? Chapter 8: Analytic Continuation: The Power-Series Method ? Natural Boundaries ? Multiple-Valued Functions ? Riemann Surfaces ? The Schwarz Symmetry Principle ? The Monodromy Theorem ? Law of Permanence ? The Euler Gamma Function ? Exercises ? Chapter 9: Normal Families: The Montel Selection Theorem ? Univalent Functions ? Exercises ? Chapter 10: Conformal Mapping: Classification of Regions ? The Riemann Mapping Theorem Examples ? Conformal Mappings of Multiply Connected Regions ? Exercises ? Chapter 11: Harmonic Functions: Harmonic Conjugate ? The Maximum and Minimum Principles for Harmonic Functions ? The Poisson Integral Formula ? The Dirichlet Problem ? The Harnack Theorem ? Green Functions ? Exercises ? Chapter 12: The Picard Theorems: The Bloch Theorem? The Schottky Theorem ? The Picard Theorems ? Exercises. Printed Pages: 430. Nº de ref. de la librería 35899

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Hahn, Liang-Shin; Epstein, Bernard
Editorial: Jones and Bartlett Publishers
ISBN 10: 9380108958 ISBN 13: 9789380108957
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Descripción Jones and Bartlett Publishers. Estado de conservación: New. 9380108958 This is an International Edition. Brand New, Paperback, Delivery within 6-14 business days, Similar Contents as U.S Edition, printed in Black & White. Choose Expedited shipping for delivery within 3-8 business days. We do not ship to PO Box, APO , FPO Address. In some instances, subjects such as Management, Accounting, Finance may have different end chapter case studies and exercises. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" and "Content may different from U.S. Edition" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code/CD is not provided with these editions , unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. Nº de ref. de la librería EI_9789380108957

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Hahn, Liang-Shin; Epstein, Bernard
Editorial: Jones and Bartlett Publishers
ISBN 10: 9380108958 ISBN 13: 9789380108957
Nuevos PAPERBACK Cantidad: 5
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Descripción Jones and Bartlett Publishers. PAPERBACK. Estado de conservación: New. 9380108958 We ship from India. PAPERBACK INTERNATIONAL EDITION Brand New Copy. The ISBN-13 or Cover might be different but content is extactly same. We deliver in 5 - 9 days and actively resolve customer issues. Nº de ref. de la librería 9380108958-ABA

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9.

Bernard Epstein,Liang-Shin Hahn
Editorial: Jones & Bartlett India Private Limited/Viva Books (2011)
ISBN 10: 9380108958 ISBN 13: 9789380108957
Nuevos Softcover Primera edición Cantidad: > 20
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A - Z Books
(New Delhi, DELHI, India)
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[?]

Descripción Jones & Bartlett India Private Limited/Viva Books, 2011. Softcover. Estado de conservación: New. First edition. Ideal for an introductory course in complex analysis at the advanced undergraduate or graduate level, this text has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses in the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mà dius transformations are presented with emphasis on the geometric aspect and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Function, Analytic Continuation, Normal families, Conformal Mapping, and Harmonic Functions. Key Features: • Power Series approach gives students a chance to review calculus and discover complex analysis is a natural extension of calculus • Unique coverage of Phragmà n-Lindelà f Theorem (§10.4), the Runge Approximation Theorem (§6.6), Conformal Mappings of Multiply-Connected Regions (§7.9), and Extensions of Theorems of MittagLeffler and Weierstrass (§7.3) • Also unique is the comparisons of Complex Analysis and Real analysis in Chapter 4,5, and 9 • New, elementary proof of the Picard Theorems in Chapter 12 • Generous exercise sets are a treasure trove of interesting and challenging problems • Over 60 illustrations help the reader visualize complex relationships Contents: Chapter 1: Complex Numbers: The Complex Field • Geometric Representation • The Riemann Sphere • Exercises • Chapter 2: Power Series: Sequences • Series • Some Terminology about the Topology of the Complex Plane • Uniform Convergence • Geometric Series • Circle of Convergence • Uniqueness • Differentiation of Power Series • Some Elementary Functions • The Maximum and Minimum Modulus Principles • Exercises • Chapter 3: Analytic Functions: The Cauchy-Riemann Differential Equations • Harmonic Functions• Geometric Significance of the Derivative • Mà bius Transformations • Exercises • Chapter 4: The Cauchy Theorem: Some Remarks on Curves • Line Integrals • The Cauchy-Goursat Theorem • The Cauchy Integral Formula • The Morera Theorem • Exercises • Chapter 5: Singularities and Residues: Laurent Series • Isolated Singularities • Rational Functions • Residues • Evaluation of Real Integrals • The Argument Principle • Exercises • Chapter 6: The Maximum Modulus Principle: The Maximum and Minimum Modulus Principles, Revisited • The Schwarz Lemma • The Three-Circle Theorem • A Maximum Theorem for an Unbounded Region • The Three-Line Theorem • The Phragmà n-Lindelà f Theorems • Exercises • Chapter 7: Entire and Meromorphic Functions: The Mittag-Leffler Theorem • A Theorem of Weierstrass • Extensions of Theorems of Mittag-Leffler and Weierstrass • Infinite Products • Blaschke Products • The Factorization of Entire Functions • The Jensen Formula • Entire Functions of Finite Order • The Runge Approximation • Theorem • Exercises • Chapter 8: Analytic Continuation: The Power-Series Method • Natural Boundaries • Multiple-Valued Functions • Riemann Surfaces • The Schwarz Symmetry Principle • The Monodromy Theorem • Law of Permanence • The Euler Gamma Function • Exercises • Chapter 9: Normal Families: The Montel Selection Theorem • Univalent Functions • Exercises • Chapter 10: Conformal Mapping: Classification of Regions • The Riemann Mapping Theorem Examples • Conformal Mappings of Multiply Connected Regions • Exercises • Chapter 11: Harmonic Functions: Harmonic Conjugate • The Maximum and Minimum Principles for Harmonic Functions • The Poisson Integral Formula • The Dirichlet Problem • The Harnack Theorem • Green Functions • Exercises • Chapter 12: The Picard Theorems: The Bloch Theorem• The Schottky Theorem • The Picard Theorems • Exercises. Printed Pages: 430. Nº de ref. de la librería 35899

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10.

Liang_Shin Hahn & Bernard Epstein
ISBN 10: 9380108958 ISBN 13: 9789380108957
Nuevos Softcover Primera edición Cantidad: > 20
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LowPriceBookDeals
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Descripción Softcover. Estado de conservación: New. 1st edition. Brand NEW, Paperback International Edition. Black & White or color, Cover and ISBN may be different but similar contents as US editions. Standard delivery takes 5-9 business days by USPS with tracking number. Choose expedited shipping for superfast delivery 2-4 business days by DHL/FEDEX. We also ship to PO Box addresses but by Standard delivery. International Edition Textbooks may bear a label -Not for sale in the U.S. or Canada- etc. printed only to discourage U.S. students from obtaining an affordable copy. Legal to use despite any disclaimer on cover as per US court. No access code or CD included unless specified. In some instances, the international textbooks may have different exercises at the end of the chapters. Printed in English. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. 100% Customer satisfaction guaranteed! Please feel free to contact us for any queries. Nº de ref. de la librería LPBD31486352

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