ISBN: 978-0-470-28639-5
Hardcover
384 pages
August 2010
The cursory treatment of bias as a topic of serious consideration has resulted in a lack of easily accessible reference material. Bias and Causation organizes and clarifies the diverse and somewhat overlapping types of biases within a coherent framework. It provides a comprehensive discussion of the sources of bias in comparative studies (both randomized and observational) and how to address them, emphasizes systematic errors (i.e. bias) that affect proper interpretation of results, and draws concrete examples from biomedical and social science literature to illustrate and explain how biases arise in everyday practice. This will be a single go-to reference for scientific and legal researchers.
ISBN: 978-0-470-41435-4
Hardcover
704 pages
September 2010
This book provides a broad, mature, and systematic introduction to current financial econometric models and their applications to modeling and prediction of financial time series data. It utilizes real-world examples and real financial data throughout the book to apply the models and methods described.
The author begins with basic characteristics of financial time series data before covering three main topics:
Analysis and application of univariate financial time series
The return series of multiple assets
Bayesian inference in finance methods
Key features of the new edition include additional coverage of modern day topics such as arbitrage, pair trading, realized volatility, and credit risk modeling; a smooth transition from S-Plus to R; and expanded empirical financial data sets.
The overall objective of the book is to provide some knowledge of financial time series, introduce some statistical tools useful for analyzing these series and gain experience in financial applications of various econometric methods.
ISBN: 978-81-8487-069-5
Publication Year: 2010
Pages: 128
Binding: Hard Back
Dimension: 160mm x 240mm
Algebra and Graph Theory are two fascinating branches of Mathematics. The tools of each have been used in the other to explore and investigate problems in depth. Especially the Cayley graphs constructed out of the group structures have been greatly and extensively used in Parallel computers to provide network to the routing problem. ALGEBRA, GRAPH THEORY AND THEIR APPLICATIONS takes an inclusive view of the two areas and presents a wide range of topics. It includes sixteen referred research articles on algebra and graph theory of which three are expository in nature alongwith articles exhibiting the use of algebraic techniques in the study of graphs. A substantial proportion of the book covers topics that have not yet appeared in book form providing a useful resource to the younger generation of researchers in Discrete Mathematics.
Preface / Potential Theory of Finite and Infinite Graphs / Von Neumann
Regularity on Krasner Hyperring / Groups, Characters and Graphs / t- Pebbling
Number in Graphs / Perfect Point-set Domination Number of Graphs / (k,
r, t)-Chromatic Partitions of a Graph / Global Restrained Domination Number
of a Graph / A Study on Signal Distance in Graphs / Matrices with Product
EP / Reconstruction Conjecture-present Trends of Research / Topological
Spaces Associated with a Directed Semigraph / Domination Integrity of Middle
Graphs / Inverse Domination in Grid Graphs / Complementary Isolated Domination
Number / Classification of Root Lattices of Countably Infinite Rank / Self
Vertex Switchings of Trees.
400 pages | 163 line drawings & 18 haltones | 178x254mm
978-0-19-539349-1 | Hardback | May 2010 (estimated)
Waves and oscillations permeate virtually every field of current physics research, are central to chemistry, and are essential to much of engineering. Furthermore, the concepts and mathematical techniques used for serious study of waves and oscillations form the foundation for quantum mechanics. Once they have mastered these ideas in a classical context, students will be ready to focus on the challenging concepts of quantum mechanics when they encounter them, rather than struggling with techniques.
This lively textbook gives a thorough grounding in complex exponentials and the key aspects of differential equations and matrix math; no prior experience is assumed. The parallels between normal mode analysis, orthogonal function analysis (especially Fourier analysis), and superpositions of quantum states are clearly drawn, without actually getting into the quantum mechanics. An in-depth, accessible introduction to Hilbert space and bra-ket notation begins in Chapter 5 (on symmetrical coupled oscillators), emphasizing the analogy with conventional dot products, and continues in subsequent chapters.
Connections to current physics research (atomic force microscopy, chaos, supersolids, micro electro-mechanical systems (MEMS), magnetic resonance imaging, carbon nanotubes, and more) are highlighted in the text and in end-of-chapter problems, and are frequently updated in the associated website.
The book actively engages readers with a refreshing writing style and a set of carefully applied learning tools, such as in-text concept tests, <"your turn>" boxes (in which the student fills in one or two steps of a derivation), concept and skill inventories for each chapter, and <"wrong way>" problems in which the student explains the flaw in a line of reasoning. These tools promote self-awareness of the learning process.
The associated website features custom-developed applets, video and audio recordings, additional problems, and links to related current research. The instructor-only part includes difficulty ratings for problems, optional hints, full solutions, and additional support materials.
The primary readership for this text is sophomore- and junior-level majors
in physics. The book is written to serve as the primary text for a sophomore-
or junior-level physics course on waves and oscillations, or perhaps on
mathematical methods. Courses on waves and oscillations at the sophomore
level are offered by about 40% of the top ten universities and also the
top ten liberal arts colleges (as ranked by US News & World Report
magazine). In particular, such courses are offered at Harvard, MIT, Stanford,
CalTech, Columbia, Williams, Swarthmore, Wellesley, Middlebury, Wesleyan,
and Haverford. Enrolments in these courses are not readily available, but
I estimate the typical enrollment at liberal arts colleges to be 15 students,
and the typical enrollment at universities to be 25 students. The principal
markets include all countries where textbooks in English are used at the
sophomore level in physics. If the text is sufficiently successful, we
could of course consider translated editions.
Oxford Logic Guides 52
320 pages | 234x156mm
978-0-19-958736-0 | Hardback | May 2010 (estimated)
Also available as: Paperback
Category theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians, but also researchers and students of computer science, logic, linguistics, cognitive science, philosophy, and any of the other fields in which the ideas are being applied. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of category theory understandable to this broad readership.
Although assuming few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits and colimits; functor categories; representables; Yoneda's lemma; adjoints; monads. An extra topic of cartesian closed categories and the lambda-calculus is also provided - a must for computer scientists, logicians and linguists!
This Second Edition contains numerous revisions to the original text, including expanding the exposition, revising and elaborating the proofs, providing additional diagrams, correcting typographical errors and, finally, adding an entirely new section on monoidal categories. Nearly a hundred new exercises have also been added, many with solutions, to make the book more useful as a course text and for self-study.
Readership: Undergraduates in mathematics, researchers and graduates in computer science, logic, linguistics, and cognitive science.
Preface
1: Categories
2: Abstract Structures
3: Duality
4: Groups and Categories
5: Limits and Colimits
6: Exponentials
7: Naturality
8: Categories of Diagrams
9: Adjoints
10: Monads and Algrebras
References
Solutions to Selected Exercises
Index
608 pages | 472 b/w line illustrations | 246x171mm
978-0-19-958252-5 | Hardback | June 2010 (estimated)
978-0-19-958251-8 | Paperback | June 2010 (estimated)
Apart from an introductory chapter giving a brief summary of Newtonian and Lagrangian mechanics, this book consists entirely of questions and solutions on topics in classical mechanics that will be encountered in undergraduate and graduate courses. These include one-, two-, and three- dimensional motion; linear and nonlinear oscillations; energy, potentials, momentum, and angular momentum; spherically symmetric potentials; multi-particle systems; rigid bodies; translation and rotation of the reference frame; the relativity principle and some of its consequences. The solutions are followed by a set of comments intended to stimulate inductive reasoning and provide additional information of interest. Both analytical and numerical (computer) techniques are used obtain and analyze solutions. The computer calculations use Mathematica (version 7), and the relevant code is given in the text. It includes use of the interactive Manipulate function which enables one to observe simulated motion on a computer screen, and to study the effects of changing parameters.
The book will be useful to students and lecturers in undergraduate and graduate courses on classical mechanics, and students and lecturers in courses in computational physics.
Readership: Students and lecturers in undergraduate and graduate courses on classical mechanics; also students and lecturers in courses in computational physics.
1: Introduction
2: Miscellanea
3: One-dimensional motion
4: Linear oscillations
5: Energy and potentials
6: Momentum and angular momentum
7: Motion in two and three dimensions
8: Spherically symmetric potentials
9: The Coulomb and oscillator problems
10: Two-body problems
11: Multi-particle systems
12: Rigid bodies
13: Nonlinear oscillations
14: Translation and Rotation of the reference frame
15: The relativity principle and some of its consequences