Classical Recursion Theory

Kinetic theory provides a microscopic description of many observable, macroscopic processes and has a wide range of important applications in physics, astronomy, chemistry, and engineering. This powerful, theoretical framework allows a quantitative treatment of many non-equilibrium phenomena such as transport processes in classical and quantum fluids. This book describes in detail the Boltzmann equation theory, obtained in both traditional and modern ways. Applications and generalizations describing non-equilibrium processes in a variety of systems are also covered, including dilute and moderately dense gases, particles in random media, hard sphere crystals, condensed Bose-Einstein gases, and granular materials. Fluctuation phenomena in non-equilibrium fluids, and related non-analyticities in the hydrodynamic equations are also discussed in some detail. A thorough examination of many topics concerning time dependent phenomena in material systems, this book describes both current knowle

It is often assumed that classical Sanskrit poetry and drama lack a concern with the tragic. However, as Bihani Sarkar makes clear in this book, this is far from the case. In the first study of traged

In Classical American Philosophy: Poiesis in the Public Square, Rebecca Farinas takes seven major figures from the American philosophical canon and examines their relationship with an artistic o

The real world is perceived and broken down as data, models and algorithms in the eyes of physicists and engineers. Data is noisy by nature and classical statistical tools have so far been successful in dealing with relatively smaller levels of randomness. The recent emergence of Big Data and the required computing power to analyse them have rendered classical tools outdated and insufficient. Tools such as random matrix theory and the study of large sample covariance matrices can efficiently process these big data sets and help make sense of modern, deep learning algorithms. Presenting an introductory calculus course for random matrices, the book focusses on modern concepts in matrix theory, generalising the standard concept of probabilistic independence to non-commuting random variables. Concretely worked out examples and applications to financial engineering and portfolio construction make this unique book an essential tool for physicists, engineers, data analysts, and economists.

This book evaluates the potential of the pragmatist notion of habit possesses to influence current debates at the crossroads between philosophy, cognitive sciences, neurosciences, and social theory. It deals with the different aspects of the pragmatic turn involved in 4E cognitive science and traces back the roots of such a pragmatic turn to both classical and contemporary pragmatism. Written by renowned philosophers, cognitive scientists, neuroscientists, and social theorists, this volume fills the need for an interdisciplinary account of the role of 'habit'. Researchers interested in the philosophy of mind, cognitive science, neuroscience, psychology, social theory, and social ontology will need this book to fully understand the pragmatist turn in current research on mind, action and society.

Summarizes the proceedings and keynote presentations from a conference held in Brussels, Belgium. This work focuses on results in classical Hopf algebras as well as the classification theory of finite

Classical Concert Studies: A Companion to Contemporary Research and Performance is a landmark publication that maps out a new interdisciplinary field of Concert Studies. This companion enables student

One of the greatest challenges in fundamental physics is to reconcile quantum mechanics and general relativity in a theory of quantum gravity. A successful theory would have profound consequences for our understanding of space, time, and matter. This collection of essays written by eminent physicists and philosophers discusses these consequences and examines the most important conceptual questions among philosophers and physicists in their search for a quantum theory of gravity. Comprising three parts, the book explores the emergence of classical spacetime, the nature of time, and important questions of the interpretation, metaphysics, and epistemology of quantum gravity. These essays will appeal to both physicists and philosophers of science working on problems in foundational physics, specifically that of quantum gravity.

Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers inter

What are the features of a good scientific theory? Samuel Schindler's book revisits this classical question in the philosophy of science and develops new answers to it. Theoretical virtues matter not only for choosing theories 'to work with', but also for what we are justified in believing: only if the theories we possess are good ones (qua virtues) can we be confident that our theories' claims about nature are actually correct. Recent debates have focussed rather narrowly on a theory's capacity to predict new phenomena successfully, but Schindler argues that the justification for this focus is thin. He discusses several other theory properties such as testability, accuracy, and consistency, and highlights the importance of simplicity and coherence. Using detailed historical case studies and careful philosophical analysis, Schindler challenges the received view of theoretical virtues and advances arguments for the view that science uncovers reality through theory.

The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal polynomials, approximation theory, integral equations, bounded- and vanishing-mean oscillations, and asymptotic methods for large structured determinants, among others. This friendly introduction to Toeplitz theory covers the classical spectral theory of Toeplitz forms and Wiener–Hopf integral operators and their manifestations throughout modern functional analysis. Numerous solved exercises illustrate the results of the main text and introduce subsidiary topics, including recent developments. Each chapter ends with a survey of the present state of the theory, making this a valuable work for the beginning graduate student and established researcher alike. With biographies of the principal creators of the theory and historical context also woven into the text, this book is a complete source on Toeplitz theory.

Kinetic theory of weakly turbulent nonlinear processes in plasma helped form the foundation of modern plasma physics. This book provides a systematic overview of the kinetic theory of weak plasma turbulence from a modern perspective. It covers the fundamentals of weak turbulence theory, including the foundational concepts and the mathematical and technical details. Some key obstacles to space plasma applications are also covered, including the origin of non-thermal charged particle population, and radio burst phenomena from the sun. Treating both collective and discrete particle effects, the book provides a valuable reference for researchers looking to familiarize themselves with plasma weak turbulence theory.

Recording Classical Music presents the fundamental principles of digitally recording and editing acoustic music in ambient spaces, focusing on stereo microphone techniques that will help musicians und

An introduction to women and gender in the classical world that draws on the most recent research in the field Women in Classical Antiquity focuses on the important objects, events and concepts that c

This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as Serre's long exact sequence, Quillen's theorems A and B, Grothendieck's smooth/proper base change formulas, and the construction of the Kan–Quillen model structure on simplicial sets - and develops an alternative to a significant part of Lurie's definitive reference Higher Topos Theory, with new constructions and proofs, in particular, the Yoneda Lemma and Kan extensions. The strong emphasis on homotopical algebra provides clear insights into classical constructions such as calculus of fractions, homotopy limits and derived functors. For graduate students and researchers from neighbouring fields, this book is a user-friendly guide to advanced tools

Classical logic is concerned, loosely, with the behaviour of truths. Epistemic logic similarly is about the behaviour of known or believed truths. Justification logic is a theory of reasoning that enables the tracking of evidence for statements and therefore provides a logical framework for the reliability of assertions. This book, the first in the area, is a systematic account of the subject, progressing from modal logic through to the establishment of an arithmetic interpretation of intuitionistic logic. The presentation is mathematically rigorous but in a style that will appeal to readers from a wide variety of areas to which the theory applies. These include mathematical logic, artificial intelligence, computer science, philosophical logic and epistemology, linguistics, and game theory.

The debate between Bentham and classical common law theory is philosophically fundamental and has shaped contemporary conceptions of the nature, tasks, and limits of law and adjudication. This book of

The proposed book presents an overview of select theories in the classical Vaise?ika system of Indian philosophy, such as the concept of categories, creation and existence, atomic theory, consciousnes

The Call of Classical Literature in the Romantic Age reveals the extent to which writers now called romantic venerate and use classical texts to transform lyric and narrative poetry, the novel, mythol

Leading and emerging, early career scholars in Classical Reception Studies come together in this volume to explore the under-represented area of the Australasian Classical Tradition. They interrogate

Music in the Classical World: Genre, Culture, and History provides a broad sociocultural and historical perspective of the music of the Classical Period as it relates to the world in which it was crea

In The Political Economy of Classical Athens – a Naval Perspective, Barry O’Halloran offers an account of the economic history of classical Athens in which its strategy of naval conquest provided the

Natural Law Today gives a strong voice to classical natural law theory as the best answers to the fundamental questions of ethics and as the best framework for political and social life. It explains v

Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Playfa

This volume explores film and television sources in problematic conversation with classical antiquity, to better understand the nature of artistic reception and classical reception in particular. Draw

This collection examines the classical liberal perspective within the professional study of history. The contributors investigate the origins and development of the classical liberal approach, argue f

Analytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian and Hamiltonian dynamics, rigid bodies, small oscillations, canonical transformations and Hamilton–Jacobi theory. This fully up-to-date textbook includes detailed mathematical appendices and addresses a number of advanced topics, some of them of a geometric or topological character. These include Bertrand's theorem, proof that action is least, spontaneous symmetry breakdown, constrained Hamiltonian systems, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate st

This book explores the themes and symbols of classical myth and literature reflected in Alfred Hitchcock’s films. Mark W. Padilla examines the classical resonances of four movies, one from each

A retelling of the stories of classical mythology by folklorist and historian, Helene Adeline Guerber.

Theorizing the effects of memory, absence, and disappearance in classical theater—the aesthetics of ruins

Polls suggest up to twenty percent of Americans describe their beliefs as 'libertarian', but libertarians are often derided as heartless Social Darwinists or naïve idealists. This illuminating handbook brings together scholars from a range of fields (from law to philosophy to politics to economics) and political perspectives (right, left, and center) to consider how classical liberal principles can help us understand and potentially address a variety of pressing social problems including immigration, climate change, the growth of the prison population, and a host of others. Anyone interested in political theory or practical law and politics will find this book an essential resource for understanding this major strand of American politics.

From Mozart to Mendelssohn, this comprehensive guide to classical music history and classical music biography is the perfect latest addition to the bestselling Big Ideas series. Easy to understand and

The third volume in Leonard Susskind's one-of-a-kind physics series cracks open Einstein's special relativity and field theory In the first two books in his wildly popular The Theoretical Minimum seri

Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics.

Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics.

An fun and interactive introduction to classical music! Children can play familiar pieces of classical music on the keyboard, using the colours and sounds to follow the music. Each piece of music is a

What are the features of a good scientific theory? Samuel Schindler's book revisits this classical question in the philosophy of science and develops new answers to it. Theoretical virtues matter not only for choosing theories 'to work with', but also for what we are justified in believing: only if the theories we possess are good ones (qua virtues) can we be confident that our theories' claims about nature are actually correct. Recent debates have focussed rather narrowly on a theory's capacity to predict new phenomena successfully, but Schindler argues that the justification for this focus is thin. He discusses several other theory properties such as testability, accuracy, and consistency, and highlights the importance of simplicity and coherence. Using detailed historical case studies and careful philosophical analysis, Schindler challenges the received view of theoretical virtues and advances arguments for the view that science uncovers reality through theory.

This book radically re-examines Europe’s imaginaries of its origin in the ancient Greek world. Extracting central concepts of critical theory in its widest sense - beyond the Frankfurt School - like t

The purpose of this monograph is to provide a theory of Markov processes that are invariant under the actions of Lie groups, focusing on ways to represent such processes in the spirit of the classical

Salvation and Hell in Classical Islamic Thought uses classical Islamic sources to trace the development of Islamic eschatology during the formative centuries of Islamic intellectual history. Marco Dem