Overview

Effective for undergraduate and postgraduate students, the single-volume Complex Analysis functions as both a textbook and a reference, depending on the conducted course's structure. The only prerequisites are rudiments of real analysis and linear algebra. Special features include an integrated approach to the concept of differentiation for complex valued functions of a complex variable, unified Cauchy Riemann equations, complex versions of real intermediate value theorem, and exhaustive treatment of contour integration. The book also offers an introduction to the theory of univalent functions on the unit disc, including a brief history of the Bieberbach's conjecture and its solutions.

Full Product Details

Author:   V. Karunakaran (Madurai Kamraj University, New Delhi, India)
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Edition:   2nd New edition
Dimensions:   Width: 15.20cm , Height: 2.70cm , Length: 22.90cm
Weight:   0.839kg
ISBN:  

9780849317088

ISBN 10:   0849317088
Pages:   408
Publication Date:   01 March 2004
Audience:   General/trade ,  College/higher education ,  General ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Awaiting stock  

Table of Contents

Introduction. Boreal forests in global and local context. Global boreal forests. Managed boreal forests in local context. Climate change with impacts on growing conditions. Global climate change. Climate change in local context, with changes in growing conditions. Impacts of climate change on ecophysiological performance of selected boreal tree species. Carbon uptake and climate change. Response of respiration to climate change. Response of transpiration to climate change - experimental findings. Impacts and sensitivities of physiology of whole tree. Growth and structure of trees under climate change. Properties of plant material under climate change. Eco-physiological approach in modelling responses of boreal forest ecosystem to climate change. Impact mechanisms linking the dynamics of forest ecosystem to climate change. Model for climate change impact studies with applications for managed boreal forests. Responses of boreal forest ecosystem to climate change and management - model approaches. Impacts of climate change on productivity of boreal forests. Impacts of climate change on growth and development of boreal tree populations and forests. Sustainable management of boreal forests for timber and biomass under climate change. Disturbances and risks in response to climate change. Disturbances and damages effecting growth and development of boreal forests under climate change. Management of boreal forests under climate change for adaptation and mitigation of climate change. Management of forests for adaptation to climate change. Management of forests for mitigation of climate change. Managed boreal forests under climate change - perspectives. Climate change and managed boreal forests.

Reviews

<p>V. Karunakaran presents a distinctive introduction to the theory of a single complex variable in the second edition of Complex Analysis. The book has many noteworthy features. It contains, for example, a thorough list of alternate forms of the Cauchy-Riemann equations. Many readers will enjoy the rigorous treatment of Cauchy 's Theorem and Cauchy 's Integral Formula. The author clearly makes a consistent effort to highlight the topological aspects of introductory complex analysis as it flows through many of the topics listed above and continues on to the Riemann Mapping Theorem. a solid introduction to graduate complex analysis. Its treatment of topology will tie in nicely with other introductory courses. Proofs are complete and many difficult exercises are posed and fully solved. Anyone planning to teach a course in complex analysis should consider listing it as a reference.<br> Dov Chelst, MAA Reviews, December 2011

V. Karunakaran presents a distinctive introduction to the theory of a single complex variable in the second edition of Complex Analysis. The book has many noteworthy features. It contains, for example, a thorough list of alternate forms of the Cauchy-Riemann equations. Many readers will enjoy the rigorous treatment of Cauchy s Theorem and Cauchy s Integral Formula. The author clearly makes a consistent effort to highlight the topological aspects of introductory complex analysis as it flows through many of the topics listed above and continues on to the Riemann Mapping Theorem. a solid introduction to graduate complex analysis. Its treatment of topology will tie in nicely with other introductory courses. Proofs are complete and many difficult exercises are posed and fully solved. Anyone planning to teach a course in complex analysis should consider listing it as a reference. Dov Chelst, MAA Reviews, December 2011 V. Karunakaran presents a distinctive introduction to the theory of a single complex variable in the second edition of Complex Analysis. The book has many noteworthy features. It contains, for example, a thorough list of alternate forms of the Cauchy-Riemann equations. Many readers will enjoy the rigorous treatment of Cauchy s Theorem and Cauchy s Integral Formula. The author clearly makes a consistent effort to highlight the topological aspects of introductory complex analysis as it flows through many of the topics listed above and continues on to the Riemann Mapping Theorem. a solid introduction to graduate complex analysis. Its treatment of topology will tie in nicely with other introductory courses. Proofs are complete and many difficult exercises are posed and fully solved. Anyone planning to teach a course in complex analysis should consider listing it as a reference. Dov Chelst, MAA Reviews, December 2011

V. Karunakaran presents a distinctive introduction to the theory of a single complex variable in the second edition of Complex Analysis. The book has many noteworthy features. It contains, for example, a thorough list of alternate forms of the Cauchy-Riemann equations. Many readers will enjoy the rigorous treatment of Cauchy s Theorem and Cauchy s Integral Formula. The author clearly makes a consistent effort to highlight the topological aspects of introductory complex analysis as it flows through many of the topics listed above and continues on to the Riemann Mapping Theorem. a solid introduction to graduate complex analysis. Its treatment of topology will tie in nicely with other introductory courses. Proofs are complete and many difficult exercises are posed and fully solved. Anyone planning to teach a course in complex analysis should consider listing it as a reference. Dov Chelst, MAA Reviews, December 2011

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