Books in Mathematics general

Introductory Differential Equations

5th Edition
April 16, 2018
Martha L. Abell + 1 more
English
eBook
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Introductory Differential Equations, Fifth Edition provides accessible explanations and new, robust sample problems. This valuable resource is appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms), but is also ideal for a second course in Fourier series and boundary value problems, and for students with no background on the subject. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.

Analysis and Control of Polynomial Dynamic Models with Biological Applications

1st Edition
March 21, 2018
Gabor Szederkenyi + 2 more
English
Paperback
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eBook
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Analysis and Control of Polynomial Dynamic Models with Biological Applications synthesizes three mathematical background areas (graphs, matrices and optimization) to solve problems in the biological sciences (in particular, dynamic analysis and controller design of QP and polynomial systems arising from predator-prey and biochemical models). The book puts a significant emphasis on applications, focusing on quasi-polynomial (QP, or generalized Lotka-Volterra) and kinetic systems (also called biochemical reaction networks or simply CRNs) since they are universal descriptors for smooth nonlinear systems and can represent all important dynamical phenomena that are present in biological (and also in general) dynamical systems.

The Cognitive Basis of Institutions

1st Edition
February 16, 2018
Shinji Teraji
English
Paperback
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eBook
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The Cognitive Basis of Institutions: A Synthesis of Behavioral and Institutional Economics synthesizes modern research in behavioral economics with traditional institutional economics. This work emphasizes that institution and agent are inextricably linked, and that both cognitive and institutional processes coalesce to influence human decision-making. It integrates cognition and institution through the behavioral economics theoretical lens of bounded rationality. Methodologically, it develops game-theoretical, complexity and neuroeconomic solutions to unite study of the two areas. The work concludes by proposing general implications for the economic study of decisions using the cognitive-institutio... approach, also providing specific recommendations for public policy.

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

1st Edition
February 5, 2018
Dumitru Motreanu
English
Paperback
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eBook
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Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references.

Ulam Stability of Operators

1st Edition
January 4, 2018
Janusz Brzdek + 3 more
English
Paperback
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eBook
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Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies, complements, generalizes, and updates key results. Whenever suitable, open problems are stated in corresponding areas. The book is of interest to researchers in operator theory, difference and functional equations and inequalities, differential and integral equations.

Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations

1st Edition
January 2, 2018
Gemma Robles + 1 more
English
Paperback
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eBook
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Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points.

Mathematical Optimization Terminology

1st Edition
November 10, 2017
Andre A. Keller
English
Paperback
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eBook
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Mathematical Optimization Terminology: A Comprehensive Glossary of Terms is a practical book with the essential formulations, illustrative examples, real-world applications and main references on the topic. This book helps readers gain a more practical understanding of optimization, enabling them to apply it to their algorithms. This book also addresses the need for a practical publication that introduces these concepts and techniques.

Disease Modelling and Public Health, Part B

1st Edition
Volume 37
October 31, 2017
Arni S.R. Srinivasa Rao + 2 more
English
Hardback
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eBook
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Handbook of Statistics: Disease Modelling and Public Health, Part B, Volume 37 addresses new challenges in existing and emerging diseases. As a two part volume, this title covers an extensive range of techniques in the field, with this book including chapters on Reaction diffusion equations and their application on bacterial communication, Spike and slab methods in disease modeling, Mathematical modeling of mass screening and parameter estimation, Individual-based and agent-based models for infectious disease transmission and evolution: an overview, and a section on Visual Clustering of Static and Dynamic High Dimensional Data. This volume covers the lack of availability of complete data relating to disease symptoms and disease epidemiology, one of the biggest challenges facing vaccine developers, public health planners, epidemiologists and health sector researchers.

Writing Small Omegas

1st Edition
October 24, 2017
Alberto Cogliati
English
Paperback
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eBook
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Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926 provides a general account of Lie’s theory of finite continuous groups, critically examining Cartan’s doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters. It evaluates pioneering attempts to generalize Lie's classical ideas to the infinite-dimensional case in the works of Lie, Engel, Medolaghi and Vessiot. Within this context, Cartan’s groundbreaking contributions in continuous group theory, particularly in his characteristic and unique recourse to exterior differential calculus, are introduced and discussed at length. The work concludes by discussing Cartan’s contributions to the structural theory of infinite continuous groups, his method of moving frames, and the genesis of his geometrical theory of Lie groups.

Maximum Principles for the Hill's Equation

1st Edition
October 19, 2017
Alberto Cabada + 2 more
English
Paperback
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eBook
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Maximum Principles for the Hill's Equation focuses on the application of these methods to nonlinear equations with singularities (e.g. Brillouin-bem focusing equation, Ermakov-Pinney,…) and for problems with parametric dependence. The authors discuss the properties of the related Green’s functions coupled with different boundary value conditions. In addition, they establish the equations’ relationship with the spectral theory developed for the homogeneous case, and discuss stability and constant sign solutions. Finally, reviews of present classical and recent results made by the authors and by other key authors are included.

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