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• Introduction. Haptic interfaces and the quest to reinscribe tactility
• Interface 1. The electrotactile machine
• Interface 2. The haptic 99
• Interface 3. The tongue of the skin
• Interface 4. Human-machine tactile communication
• Interface 5. The cultural construction of technologized touch
• Coda. Haptics and the reordering of the mediated sensorium.

• Frontmatter
• Contents
• List of Figures
• Preface
• Introduction
• 1 The characterization of homotopy types
• 2 Some calculations of L-groups
• 3 Classical surgery theory
• 4 Topological surgery and surgery spaces
• 5 Applications of the assembly map
• 6 Beyond characteristic classes
• 7 Flat and almost flat manifolds
• 8 Other surgery theories
• Appendix A: Some background in algebraic topology
• Appendix B: Geometric preliminaries
• List of Symbols
• Bibliography
• Index

An advanced treatment of surgery theory for graduate students and researchersSurgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, A Course on Surgery Theory serves as an important resource for the mathematics community.

"This book provides an English translation of the work Principles of the Probability Calculus published in 1886 by Johannes von Kries, which discusses the range theory of probability. It offers a novel account of the foundations of probability, an account which was familiar to Keynes, Kneale, Weber, Reichenbach, and von Mises. This account dispenses with the principle of indifference in probability, and it introduces the method of arbitrary functions. Confusions in the history of probability are pinpointed, and a novel theory is developed in which probability is neither entirely subjective nor objective. The book develops what is known as the range theory or Spielraum theory in detail, in a narrative way using few
formulas. Von Kries applies range theory to Boltzmanns theory of the statistical behaviour of gases, and to several applications in medical statistics. Many uses of probability are found wanting; very often they are found not to admit any expression of probability in numbers at all. The book will be of first interest to philosophers of science and historians interested in the foundations of probability. It is also of general interest to anyone who applies statistics everyday in such fields as econometrics, psychology, or medicine." -- Provided by publisher.

• Cover
• Titlepage
• Copyright
• Contents
• Preface
• 1 First steps
• 1.1 Types of data
• 1.2 Sample and population
• 1.2.1 Observations and random variables
• 1.2.2 Sampling variation
• 1.3 Methods for sampling a population
• 1.3.1 The simple random sample
• 1.3.2 Cluster sampling
• 1.3.3 Stratified sampling
• 1.3.4 Systematic sampling
• 1.4 Oversampling and the use of weights
• 2 Summarizing data
• 2.1 Measures of location
• 2.1.1 The mode
• 2.1.2 The mean
• 2.1.3 The trimmed mean
• 2.1.4 The Winsorized mean
• 2.1.5 The median
• 2.2 Measures of spread

• 2.2.1 The range
• 2.2.2 The interquartile range
• 2.3 Boxplot
• 2.4 Histograms
• 2.5 Cumulative frequency diagrams
• 2.6 Step diagrams
• 2.7 The variance and standard deviation
• 2.8 Symmetric and skewed data
• 3 Probability
• 3.1 Probability
• 3.2 The rules of probability
• 3.3 Conditional probability and independence
• 3.4 The total probability theorem
• 3.5 Bayes' theorem
• 4 Probability distributions
• 4.1 Notation
• 4.2 Mean and variance of a probability distribution
• 4.3 The relation between sample and population
• 4.4 Combining means and variances

• 4.5 Discrete uniform distribution
• 4.6 Probability density function
• 4.7 The continuous uniform distribution
• 5 Estimation and confidence
• 5.1 Point estimates
• 5.1.1 Maximum likelihood estimation (mle)
• 5.2 Confidence intervals
• 5.3 Confidence interval for the population mean
• 5.3.1 The normal distribution
• 5.3.2 The Central Limit Theorem
• 5.3.3 Construction of the confidence interval
• 5.4 Confidence interval for a proportion
• 5.4.1 The binomial distribution
• 5.4.2 Confidence interval for a proportion (large sample case)

• 6.3.1 Do the two samples come from the same population?
• 6.3.2 Do the two populations have the same mean?
• 7 Comparing proportions
• 7.1 The 2 2 table
• 7.2 Some terminology
• 7.2.1 Odds, odds ratios, and independence
• 7.2.2 Relative risk
• 7.2.3 Sensitivity, specificity, and related quantities
• 7.3 The R C table
• 7.3.1 Residuals
• 7.3.2 Partitioning
• 8 Relations between two continuous variables
• 8.1 Scatter diagrams
• 8.2 Correlation
• 8.2.1 Testing for independence
• 8.3 The equation of a line
• 8.4 The method of least squares
• 8.5 A random dependent variable, Y

• 8.5.1 Estimation of σ2

• 5.4.3 Confidence interval for a proportion (small sample)
• 5.5 Confidence bounds for other summary statistics
• 5.5.1 The bootstrap
• 5.6 Some other probability distributions
• 5.6.1 The Poisson and exponential distributions
• 5.6.2 The Weibull distribution
• 5.6.3 The chi-squared (χ2) distribution
• 6 Models, p-values, and hypotheses
• 6.1 Models
• 6.2 p-values and the null hypothesis
• 6.2.1 Two-sided or one-sided-- 6.2.2 Interpreting p-values
• 6.2.3 Comparing p-values
• 6.2.4 Link with confidence interval
• 6.3 p-values when comparing two samples

• Preliminaries on random variables
• Concentration of sums of independent random variables
• Random vectors in high dimensions
• Random matrices
• Concentration without independence
• Quadratic forms, symmetrization and contraction
• Random processes
• Chaining
• Deviations of random matrices and geometric consequences
• Sparse recovery
• Dvoretzky-Milman's theorem.

"High-dimensional probability offers insight into the behavior of random vectors, random matrices, random subspaces, and objects used to quantify uncertainty in high dimensions. Drawing on ideas from probability, analysis, and geometry, it lends itself to applications in mathematics, statistics, theoretical computer science, signal processing, optimization, and more. It is the first to integrate theory, key tools, and modern applications of high-dimensional probability. Concentration inequalities form the core, and it covers both classical results such as Hoeffding's and Chernoff's inequalities and modern developments such as the matrix Bernstein's inequality. It then introduces the powerful methods based on stochastic processes, including such tools as Slepian's, Sudakov's, and Dudley's inequalities, as well as generic chaining and bounds based on VC dimension. A broad range of illustrations is embedded throughout, including classical and modern results for covariance estimation, clustering, networks, semidefinite programming, coding, dimension reduction, matrix completion, machine learning, compressed sensing, and sparse regression."--Publisher's description.

• 1. Mathematical tools
• 2. Computational models
• 3. Linear algebra
• 4. Quantum mechanics
• 5. Quantum circuits
• 6. Density operators
• 7. Quantum maps
• 8. Decoherence
• 9. Entanglement
• 10. Early quantum algorithms
• 11. Quantum simulation of Hamiltonian dynamics
• 12. Quantum simulation of Hamiltonian eigenstates
• 13. Microwave resonators for superconducting devices
• 14. Superconducting qubits.

• Introduction to computers
• Computer organization
• The theory of computation
• Coding and information theory
• Reversible computation and the thermodynamics of computing
• Quantum mechanical computers
• Quantum computing 40 years later / John Preskill
• Physical aspects of computation
• The future of computing beyond Moore's law / John Shalf
• Feynman on artificial intelligence and machine learning / Eric Mjolsness.

"The last lecture course that Nobel Prize winner Richard P. Feynman gave to students at Caltech from 1983 to 1986 was not on physics but on computer science. The first edition of the Feynman Lectures on Computation published in 1996 and provided an overview of standard and not-so-standard topics in computer science given in Feynman's inimitable style. Although now over 20 years old, most of the material is still relevant and interesting, and Feynman's unique philosophy of learning and discovery shines through. For this new edition, Tony Hey has updated the lectures with an invited chapter from Professor John Preskill on "Quantum Computing 40 Years Later." This contribution captures the progress made towards building a quantum computer since Feynman's original suggestions in 1981. The last 25 years have also seen the "Moore's Law" roadmap for the IT industry coming to an end. To reflect this transition, John Shalf, Senior Scientist at Lawrence Berkeley National Laboratory, has contributed a chapter on "The Future of Computing Beyond Moore's Law." The final update for this edition is an attempt to capture Feynman's interest in Artificial Intelligence and Artificial Neural Networks. Eric Mjolsness, now a professor of Computer Science at the University of California Irvine, was a Teaching Assistant for Feynman's original lecture course and his research interests are now the application of Artificial Intelligence and Machine Learning for multi-scale science. He has contributed a chapter on "Feynman on Artificial Intelligence and Machine Learning" that captures the early discussions with Feynman and also looks towards future developments. This exciting and important work provides key reading for students and scholars in the fields of computer science and computational physics"-- Provided by publisher.

"In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents.In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents. Prior to this work, only the two-dimensional situation was fully understood. In higher dimensions, partial results for existence in smaller ranges of exponents and for a subclass of such systems had been established. The presented uniqueness results are completely new, and the authors also elucidate optimal ranges for problems with fractional regularity data.The first part of the monograph, which can be read independently, provides optimal ranges of exponents for functional calculus and adapted Hardy spaces for the associated boundary operator. Methods use and improve, with new results, all the machinery developed over the last two decades to study such problems: the Kato square root estimates and Riesz transforms, Hardy spaces associated to operators, off-diagonal estimates, non-tangential estimates and square functions, and abstract layer potentials to replace fundamental solutions in the absence of local regularity of solutions."-- Provided by publisher.

• A quasi-Poisson structure on the multiplicative Grothendieck-Springer resolution / Ana Bălibanu
• https://www.ams.org/conm/790/ https://doi.org/10.1090/conm/790/15855 Volumes of definable sets in o-minimal expansions and affine GAGA theorems / Patrick Brosnan
• https://www.ams.org/conm/790/ https://doi.org/10.1090/conm/790/15856 Hessenberg varieties and Poisson slices / Peter Crooks and Markus Röser
• https://www.ams.org/conm/790/ https://doi.org/10.1090/conm/790/15857 Geometry of logarithmic derivations of hyperplane arrangements / Graham Denham and Avi Steiner
• https://www.ams.org/conm/790/ https://doi.org/10.1090/conm/790/15858 Shift of argument algebras and de Concini-Procesi spaces / Iva Halacheva
• https://www.ams.org/conm/790/ https://doi.org/10.1090/conm/790/15859 Projection spaces and twisted Lie algebras / Ben Knudsen
• https://www.ams.org/conm/790/ https://doi.org/10.1090/conm/790/15860 Cohomology, Bocksteins, and resonance varieties in characteristic $2$ / Alexandru I. Suciu
• https://www.ams.org/conm/790/ https://doi.org/10.1090/conm/790/15861

• Automatic determination of optimal systems of Lie subalgebras: The package SymboLie / Luca Amata and Francesco Oliveri
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15837 New Dubrovin-type integrability theory applications of differential rings / Orest D. Artemovych, Denis L. Blackmore, Radosław A. Kycia and Anatolij K. Prykarpatski
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15838 Non-abelian Painlevé systems with generalized Okamoto integral / I. A. Bobrova and V. V. Sokolov
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15839 Mathematical etudes on quantum computation / Alexei Bocharov
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15840 Quantum vector fields via quantum doubles and their applications / Dimitry Gurevich and Pavel Saponov
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15841 Non-linear homomorphisms of algebras of functions are induced by thick morphisms / Hovhannes M. Khudaverdian
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15842 On the Buchstaber-Rees theory of "Frobenius $n$-homomorphisms" and its generalization / H. M. Khudaverdian and Th. Th. Voronov
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15843 Differential calculus over graded commutative algebras and vector bundles with inner structures / Jacob Kryczka
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15844 Vinogradov's cohomological geometry of partial differential equations / Fabrizio Pugliese, Giovanni Sparano and Luca Vitagliano
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15845 Frölicher structures, diffieties, and a formal KP hierarchy / Jean-Pierre Magnot, Enrique G. Reyes and Vladimir Rubtsov
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15846 Quasi-derivations on $U\mathfrak {gl}_n$ and the argument shift method / G. Sharygin
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15847 Polarization of generalized Nijenhuis torsions / Piergiulio Tempesta and Giorgio Tondo
• https://www.ams.org/conm/789/ https://doi.org/10.1090/conm/789/15848

• Geometric analysis of metric Legendre foliated cocycles on contact manifolds via SODE structure / Fatemeh Ahangari
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15817 Special Vinberg cones, invariant admissible cubics and special real manifolds / Dmitri V. Alekseevsky, Alessio Marrani and Andrea Spiro
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15818 Bundles of Weyl structures and invariant calculus for parabolic geometries / Andreas Čap and Jan Slovák
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15819 Coverings and pseudosymmetries of differential equations / Vladimir N. Chetverikov
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15820 Differential invariants of inviscid flows in pipes / Anna Duyunova
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15821 Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles / Maxim Grigoriev
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15822 Minimal realizations of the KP hierarchy, its strict version and their reductions / G. F. Helminck and E. A. Panasenko
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15823 Minimal coupling of gravitational and electromagnetic fields in General Relativity / Josef Janyška and Marco Modugno
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15824 Projective-geometric aspects of bi-Hamiltonian structures of KdV type / Paolo Lorenzoni and Raffaele Vitolo
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15825 Measurement of random operators, jet geometry and high-order phase transitions / Valentin V. Lychagin
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15826 Metrics admitting projective and c-projective vector fields / Gianni Manno, Jan Schumm and Andreas Vollmer
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15827 Lax representations via twisted extensions of infinite-dimensional Lie algebras: some new results / Oleg I. Morozov
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15828 Energy functionals and normal forms of knots and plane curves / A. B. Sossinsky
• https://www.ams.org/conm/788/ https://doi.org/10.1090/conm/788/15829

• Elements of time scale calculus
• Elements of fractional dynamic calculus on time scales
• Linear inequalities for Riemann-Liouville fractional delta integral operator
• Fractional Young and Holder inequalities
• Fractional inequalities for convex functions
• Opial-type inequalities
• Chebyshev-type inequalities
• Hardy-type fractional inequalities
• Reverse Hardy-type fractional inequalities
• Inequalities for generalized Riemann-Liouville fractional integrals
• Some inequalities
• Jensen inequalities.