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Book
Topics in critical point theory
Authors: ---
ISBN: 9781107029668 9781139342469 9781139845243 1139845241 9781139840514 1139840517 9781139842884 1139842889 1139342460 110702966X 9781283836340 1283836343 1107237343 1139854321 1139846108 1139841696 9781107237346 9781139854320 9781139846103 9781139841696 Year: 2013 Volume: 198 Publisher: Cambridge

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Abstract

This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index. Applications to semilinear elliptic boundary value problems, p-Laplacian problems and anisotropic systems are given. Written for graduate students and research scientists, the book includes numerous examples and presents more recent developments in the subject to bring the reader up to date with the latest research.


Book
An Introduction to Complex Analysis
Authors: --- --- ---
ISBN: 9781461401957 Year: 2011 Publisher: Boston, MA Springer US

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Abstract

This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner.   Key features of this textbook: -Effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures - Uses detailed examples to drive the presentation -Includes numerous exercise sets that encourage pursuing extensions of the material, each with an Answers or Hints  section -covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics -Provides a concise history of complex numbers     An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.

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