A Primer of Nonlinear Analysis PDF Download
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Author: Antonio Ambrosetti
Publisher: Cambridge University Press
ISBN: 9780521485739
Category : Mathematics
Languages : en
Pages : 184
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Book Description
This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.
Author: Antonio Ambrosetti
Publisher: Cambridge University Press
ISBN: 9780521485739
Category : Mathematics
Languages : en
Pages : 184
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Book Description
This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.
Author: S. Kesavan
Publisher: Springer
ISBN: 9386279215
Category : Mathematics
Languages : en
Pages : 188
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Book Description
Author: Yisong Yang
Publisher: Springer Science & Business Media
ISBN: 1475765487
Category : Mathematics
Languages : en
Pages : 571
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Book Description
There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.
Author: Alfredo Medio
Publisher: Cambridge University Press
ISBN: 9780521558747
Category : Business & Economics
Languages : en
Pages : 324
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Book Description
A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources
Author: Antonio Ambrosetti
Publisher: Cambridge University Press
ISBN: 9780521863209
Category : Mathematics
Languages : en
Pages : 334
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Book Description
A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from elementary tools of bifurcation theory and analysis to critical point theory and elliptic partial differential equations. The book is amply illustrated with many exercises.
Author: Martin Schechter
Publisher: Cambridge University Press
ISBN: 9780521843973
Category : Mathematics
Languages : en
Pages : 380
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Book Description
The techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics attack linear cases simply because they are easier to solve and do not require a large theoretical background in order to approach them. Professor Schechter's 2005 book is devoted to non-linear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving non-linear problems is developed whilst demonstrating their application to problems in one dimension and then leading to higher dimensions. The reader is guided using simple exposition and proof, assuming a minimal set of pre-requisites. For completion, a set of appendices covering essential basics in functional analysis and metric spaces is included, making this ideal as an accompanying text on an upper-undergraduate or graduate course, or even for self-study.
Author: T. V. Joe Layng
Publisher: Routledge
ISBN: 1000466264
Category : Psychology
Languages : en
Pages : 183
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Book Description
Nonlinear Contingency Analysis is a guide to treating clinically complex behavior problems such as delusions and hallucinations. It’s also a framework for treating behavior problems, one that explores solutions based on the creation of new or alternative consequential contingencies rather than the elimination or deceleration of old or problematic thoughts, feelings, or behaviors. Chapters present strategies, analytical tools, and interventions that clinicians can use in session to think about clients’ problems using decision theory, experimental analysis of behavior, and clinical research and practice. By treating thoughts and emotions not as causes of behavior but as indicators of the environmental conditions that are responsible for them, patients can use that knowledge to make changes that not only result in changes in behavior, but in the thoughts and feelings themselves.
Author: Bjørn Skallerud
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 348
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Book Description
The importance of accounting for nonlinear effects in offshore structures has increased due to their higher utilization and extended service lives. This text addresses new methods for advanced analysis of offshore structures developed during the 1990s.
Author: Gregg Hartvigsen
Publisher: Columbia University Press
ISBN: 0231537042
Category : Education
Languages : en
Pages : 245
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Book Description
R is the most widely used open-source statistical and programming environment for the analysis and visualization of biological data. Drawing on Gregg Hartvigsen's extensive experience teaching biostatistics and modeling biological systems, this text is an engaging, practical, and lab-oriented introduction to R for students in the life sciences. Underscoring the importance of R and RStudio in organizing, computing, and visualizing biological statistics and data, Hartvigsen guides readers through the processes of entering data into R, working with data in R, and using R to visualize data using histograms, boxplots, barplots, scatterplots, and other common graph types. He covers testing data for normality, defining and identifying outliers, and working with non-normal data. Students are introduced to common one- and two-sample tests as well as one- and two-way analysis of variance (ANOVA), correlation, and linear and nonlinear regression analyses. This volume also includes a section on advanced procedures and a chapter introducing algorithms and the art of programming using R.
Author: Manuel D. Salas
Publisher: CRC Press
ISBN: 1439807590
Category : Mathematics
Languages : en
Pages : 418
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Book Description
A defining feature of nonlinear hyperbolic equations is the occurrence of shock waves. While the popular shock-capturing methods are easy to implement, shock-fitting techniques provide the most accurate results. A Shock-Fitting Primer presents the proper numerical treatment of shock waves and other discontinuities. The book begins by recounting the events that lead to our understanding of the theory of shock waves and the early developments related to their computation. After presenting the main shock-fitting ideas in the context of a simple scalar equation, the author applies Colombeau’s theory of generalized functions to the Euler equations to demonstrate how the theory recovers well-known results and to provide an in-depth understanding of the nature of jump conditions. He then extends the shock-fitting concepts previously discussed to the one-dimensional and quasi-one-dimensional Euler equations as well as two-dimensional flows. The final chapter explores existing and future developments in shock-fitting methods within the framework of unstructured grid methods. Throughout the text, the techniques developed are illustrated with numerous examples of varying complexity. On the accompanying downloadable resources, MATLAB® codes serve as concrete examples of how to implement the ideas discussed in the book.
