Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

Books Journals

Kinetic Boltzmann, Vlasov and Related Equations

1st Edition
June 17, 2011
Alexander Sinitsyn + 2 more
English
Paperback
9 7 8 0 3 2 3 1 6 5 3 0 3

Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory.This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance.

Computability Theory

1st Edition
May 26, 2011
Herbert B. Enderton
English
eBook
9 7 8 0 1 2 3 8 7 8 3 6 6

Computability Theory: An Introduction to Recursion Theory, provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion of advanced topics not to be found elsewhere in the literature at this level. The text includes both the standard material for a first course in computability and more advanced looks at degree structures, forcing, priority methods, and determinacy. The final chapter explores a variety of computability applications to mathematics and science. Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable way.

Philosophy of Statistics

1st Edition
Volume 7
May 25, 2011
Prasanta S. Bandyopadhyay + 4 more
English
eBook
9 7 8 0 0 8 0 9 3 0 9 6 1

Statisticians and philosophers of science have many common interests but restricted communication with each other. This volume aims to remedy these shortcomings. It provides state-of-the-art research in the area of philosophy of statistics by encouraging numerous experts to communicate with one another without feeling “restricted” by their disciplines or thinking “piecemeal” in their treatment of issues. A second goal of this book is to present work in the field without bias toward any particular statistical paradigm. Broadly speaking, the essays in this Handbook are concerned with problems of induction, statistics and probability. For centuries, foundational problems like induction have been among philosophers’ favorite topics; recently, however, non-philosophers have increasingly taken a keen interest in these issues. This volume accordingly contains papers by both philosophers and non-philosophers, including scholars from nine academic disciplines.

Essential Statistics, Regression, and Econometrics

1st Edition
May 21, 2011
Gary Smith
English
eBook
9 7 8 0 1 2 3 8 2 2 2 2 2

Essential Statistics, Regression, and Econometrics provides students with a readable, deep understanding of the key statistical topics they need to understand in an econometrics course. It is innovative in its focus, including real data, pitfalls in data analysis, and modeling issues (including functional forms, causality, and instrumental variables). This book is unusually readable and non-intimidating, with extensive word problems that emphasize intuition and understanding. Exercises range from easy to challenging and the examples are substantial and real, to help the students remember the technique better.

Statistical Methods in the Atmospheric Sciences

3rd Edition
Volume 100
May 20, 2011
Daniel S. Wilks
English
Hardback
9 7 8 0 1 2 3 8 5 0 2 2 5
eBook
9 7 8 0 1 2 3 8 5 0 2 3 2

Statistical Methods in the Atmospheric Sciences, Third Edition, explains the latest statistical methods used to describe, analyze, test, and forecast atmospheric data. This revised and expanded text is intended to help students understand and communicate what their data sets have to say, or to make sense of the scientific literature in meteorology, climatology, and related disciplines. In this new edition, what was a single chapter on multivariate statistics has been expanded to a full six chapters on this important topic. Other chapters have also been revised and cover exploratory data analysis, probability distributions, hypothesis testing, statistical weather forecasting, forecast verification, and time series analysis. There is now an expanded treatment of resampling tests and key analysis techniques, an updated discussion on ensemble forecasting, and a detailed chapter on forecast verification. In addition, the book includes new sections on maximum likelihood and on statistical simulation and contains current references to original research. Students will benefit from pedagogical features including worked examples, end-of-chapter exercises with separate solutions, and numerous illustrations and equations. This book will be of interest to researchers and students in the atmospheric sciences, including meteorology, climatology, and other geophysical disciplines.

Inductive Logic

1st Edition
Volume 10
May 5, 2011
Stephan Hartmann + 2 more
English
Hardback
9 7 8 0 4 4 4 5 2 9 3 6 7
eBook
9 7 8 0 0 8 0 9 3 1 6 9 2

Inductive Logic is number ten in the 11-volume Handbook of the History of Logic. While there are many examples were a science split from philosophy and became autonomous (such as physics with Newton and biology with Darwin), and while there are, perhaps, topics that are of exclusively philosophical interest, inductive logic — as this handbook attests — is a research field where philosophers and scientists fruitfully and constructively interact. This handbook covers the rich history of scientific turning points in Inductive Logic, including probability theory and decision theory. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration.

Philosophy of Complex Systems

1st Edition
Volume 10
May 4, 2011
Dov M. Gabbay + 3 more
English
eBook
9 7 8 0 0 8 0 9 3 1 2 2 7

The domain of nonlinear dynamical systems and its mathematical underpinnings has been developing exponentially for a century, the last 35 years seeing an outpouring of new ideas and applications and a concomitant confluence with ideas of complex systems and their applications from irreversible thermodynamics. A few examples are in meteorology, ecological dynamics, and social and economic dynamics. These new ideas have profound implications for our understanding and practice in domains involving complexity, predictability and determinism, equilibrium, control, planning, individuality, responsibility and so on.Our intention is to draw together in this volume, we believe for the first time, a comprehensive picture of the manifold philosophically interesting impacts of recent developments in understanding nonlinear systems and the unique aspects of their complexity. The book will focus specifically on the philosophical concepts, principles, judgments and problems distinctly raised by work in the domain of complex nonlinear dynamical systems, especially in recent years.

An Introduction to Stochastic Modeling, Student Solutions Manual (e-only)

1st Edition
April 15, 2011
Mark Pinsky + 1 more
English
eBook
9 7 8 0 1 2 3 8 5 2 2 6 7

Practical Business Statistics, Student Solutions Manual (e-only)

1st Edition
April 15, 2011
Andrew F. Siegel
English
eBook
9 7 8 0 1 2 3 8 7 7 2 2 2

Practical Business Statistics, Sixth Edition, is a conceptual, realistic, andmatter-of-fact approach to managerial statistics that carefully maintains–butdoes not overemphasize–mathem... correctness. The book offers a deepunderstanding of how to learn from data and how to deal with uncertainty whilepromoting the use of practical computer applications. This teaches present andfuture managers how to use and understand statistics without an overdose oftechnical detail, enabling them to better understand the concepts at hand andto interpret results. The text uses excellent examples with real world datarelating to the functional areas within Business such as finance, accounting,and marketing. It is well written and designed to help students gain a solidunderstanding of fundamental statistical principles without bogging them downwith excess mathematical details.

Exploring Monte Carlo Methods

1st Edition
April 6, 2011
William L. Dunn + 1 more
English
Hardback
9 7 8 0 4 4 4 5 1 5 7 5 9
eBook
9 7 8 0 0 8 0 9 3 0 6 1 9

Exploring Monte Carlo Methods is a basic text that describes the numerical methods that have come to be known as "Monte Carlo." The book treats the subject generically through the first eight chapters and, thus, should be of use to anyone who wants to learn to use Monte Carlo. The next two chapters focus on applications in nuclear engineering, which are illustrative of uses in other fields. Five appendices are included, which provide useful information on probability distributions, general-purpose Monte Carlo codes for radiation transport, and other matters. The famous "Buffon’s needle problem" provides a unifying theme as it is repeatedly used to illustrate many features of Monte Carlo methods. This book provides the basic detail necessary to learn how to apply Monte Carlo methods and thus should be useful as a text book for undergraduate or graduate courses in numerical methods. It is written so that interested readers with only an understanding of calculus and differential equations can learn Monte Carlo on their own. Coverage of topics such as variance reduction, pseudo-random number generation, Markov chain Monte Carlo, inverse Monte Carlo, and linear operator equations will make the book useful even to experienced Monte Carlo practitioners.

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