Mathematics

## Differential and Integral Equations

Author: Peter J. Collins

Publisher: Oxford University Press on Demand

ISBN:

Category: Mathematics

Page: 372

View: 409

Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform methods and phase-plane analysis. The calculus of variations will take them further into the world of applied analysis. Providing a wealth of techniques, but yet satisfying the needs of the pure mathematician, and with numerous carefully worked examples and exercises, the text is ideal for any undergraduate with basic calculus to gain a thorough grounding in 'analysis for applications'.
Mathematics

## Handbook of Integral Equations

Author: Andrei D. Polyanin

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 1144

View: 389

Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. With 300 additional pages, this edition covers much more material than its predecessor. New to the Second Edition • New material on Volterra, Fredholm, singular, hypersingular, dual, and nonlinear integral equations, integral transforms, and special functions • More than 400 new equations with exact solutions • New chapters on mixed multidimensional equations and methods of integral equations for ODEs and PDEs • Additional examples for illustrative purposes To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations.
Mathematics

## Handbook of Differential Equations: Ordinary Differential Equations

Publisher: Elsevier

ISBN:

Category: Mathematics

Page: 708

View: 409

The book contains seven survey papers about ordinary differential equations. The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations. The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.

## The Oxford Handbook of Generality in Mathematics and the Sciences

Author: Karine Chemla

Publisher: Oxford University Press

ISBN:

Category:

Page: 528

View: 773

Generality is a key value in scientific discourses and practices. Throughout history, it has received a variety of meanings and of uses. This collection of original essays aims to inquire into this diversity. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts. It aims at showing how collectives have valued generality and how they have worked with specific types of "general" entities, procedures, and arguments. The books connects history and philosophy of mathematics and the sciences at the intersection of two of the most fruitful contemporary lines of research: historical epistemology, in which values (e.g. "objectivity," "accuracy") are studied from a historical viewpoint; and the philosophy of scientific practice, in which conceptual developments are seen as embedded in networks of social, instrumental, and textual practices. Each chapter provides a self-contained case-study, with a clear exposition of the scientific content at stake. The collection covers a wide range of scientific domains - with an emphasis on mathematics - and historical periods. It thus allows a comparative perspective which suggests a non-linear pattern for a history of generality. The introductory chapter spells out the key issues and points to the connections between the chapters.
Psychology

## The Oxford Handbook of Computational and Mathematical Psychology

Author: Jerome R. Busemeyer

Publisher: Oxford University Press, USA

ISBN:

Category: Psychology

Page: 399

View: 331

This Oxford Handbook offers a comprehensive and authoritative review of important developments in computational and mathematical psychology. With chapters written by leading scientists across a variety of subdisciplines, it examines the field's influence on related research areas such as cognitive psychology, developmental psychology, clinical psychology, and neuroscience. The Handbook emphasizes examples and applications of the latest research, and will appeal to readers possessing various levels of modeling experience. The Oxford Handbook of Computational and mathematical Psychology covers the key developments in elementary cognitive mechanisms (signal detection, information processing, reinforcement learning), basic cognitive skills (perceptual judgment, categorization, episodic memory), higher-level cognition (Bayesian cognition, decision making, semantic memory, shape perception), modeling tools (Bayesian estimation and other new model comparison methods), and emerging new directions in computation and mathematical psychology (neurocognitive modeling, applications to clinical psychology, quantum cognition). The Handbook would make an ideal graduate-level textbook for courses in computational and mathematical psychology. Readers ranging from advanced undergraduates to experienced faculty members and researchers in virtually any area of psychology--including cognitive science and related social and behavioral sciences such as consumer behavior and communication--will find the text useful.

## The Oxford Handbook of Applied Nonparametric and Semiparametric Econometrics and Statistics

Author: Jeffrey Racine

Publisher: Oxford University Press

ISBN:

Page: 688

View: 496

This volume, edited by Jeffrey Racine, Liangjun Su, and Aman Ullah, contains the latest research on nonparametric and semiparametric econometrics and statistics. These data-driven models seek to replace the classical parametric models of the past, which were rigid and often linear. Chapters by leading international econometricians and statisticians highlight the interface between econometrics and statistical methods for nonparametric and semiparametric procedures. They provide a balanced view of new developments in the modeling of cross-section, time series, panel, and spatial data. Topics of the volume include: the methodology of semiparametric models and special regressor methods; inverse, ill-posed, and well-posed problems; methodologies related to additive models; sieve regression, nonparametric and semiparametric regression, and the true error of competing approximate models; support vector machines and their modeling of default probability; series estimation of stochastic processes and their application in Econometrics; identification, estimation, and specification problems in semilinear time series models; nonparametric and semiparametric techniques applied to nonstationary or near nonstationary variables; the estimation of a set of regression equations; and a new approach to the analysis of nonparametric models with exogenous treatment assignment.

## The Oxford Handbook of Applied Nonparametric and Semiparametric Econometrics and Statistics, 2014

Author: Oxford University Press

Publisher: Bukupedia

ISBN:

Page: 562

View: 395

## The Oxford Handbook of the Macroeconomics of Global Warming

Author: Lucas Bernard

Publisher: Oxford University Press

ISBN:

Page: 560

View: 941

The first World Climate Conference, which was sponsored by the World Meteorological Organization in Genève in 1979, triggered an international dialogue on global warming. From the 1997 United Nations-sponsored conference-during which the Kyoto Protocol was signed-through meetings in Copenhagen, Cancún, Durban, and most recently Doha (2012) and Warsaw (2013), worldwide attention to the issue of global warming and its impact on the world's economy has rapidly increased in intensity. The consensus of these debates and discussions, however, is less than clear. Optimistically, many geoscience researchers and members of the Intergovernmental Panel on Climate Change (IPCC) have supported CO2 emission reduction pledges while maintaining that a 2°C limit in increased temperature by the year 2100 is achievable through international coordination. Other observers postulate that established CO2 reduction commitments such as those agreed to at the Copenhagen United Nations Climate Change Conference (2009) are insufficient and cannot hold the global warming increase below 2°C. As experts theorize on precisely what impact global warming will have, developing nations have become particularly alarmed. The developed world will use energy to mitigate global warming effects, but developing countries are more exposed by geography and poverty to the most dangerous consequences of a global temperature rise and lack the economic means to adapt. The complex dynamics that result from this confluence of science and geopolitics gives rise to even more complicated issues for economists, financial planners, business leaders, and policy-makers. The Oxford Handbook of the Macroeconomics of Global Warming analyzes the economic impact of issues related to and resulting from global warming, specifically the implications of possible preventative measures, various policy changes, and adaptation efforts as well as the different consequences climate change will have on both developing and developed nations. This multi-disciplinary approach, which touches on issues of growth, employment, and development, elucidates for readers state-of-the-art research on the complex and far-reaching problem of global warming.
Mathematics

## Heun's Differential Equations

Author: André Ronveaux

Publisher: Clarendon Press

ISBN:

Category: Mathematics

Page: 354

View: 940

Collating papers from a number of internationally renowned mathematicians, this book surveys both the current theory and the main areas of application of Heun's equation. This crops up in a wide variety of problems in applied mathematics, such as integral equations of potential theory, wave propagation, electrostatic oscillation, and Schrodinger's equation. This major collection will be of interest specifically for those researchers in non-linear Hamiltoniansystems, as well as those working in mathematical biology.
Differential equations

## Differential and Integral Equations

Author:

Publisher:

ISBN:

Category: Differential equations

Page:

View: 691