|Book :Lecture Notes in Statistical Mechanics and Mesoscopics
These are the lecture notes for quantum and statistical mechanics courses that are given by DC at Ben-Gurion University. They are complementary to "Lecture Notes in Quantum Mechanics" [arXiv. . . . .
|Book :Synthetic Geometry of Manifolds
Contents: Calculus and linear algebra; Geometry of the neighbour relation; Combinatorial differential forms; The tangent bundle; Groupoids; Lie theory; non-abelian covariant derivative; Jets and diffe. . . . .
|Book :Synthetic Differential Geometry
Contents: The synthetic theory; Categorical logic; Models.
|Book :VALUATIONS AND HYPERBOLICITY IN DYNAMICS
Contents: Introduction; S-integer dynamical systems; Bernoullicity and recurrence; Mixing; Subdynamics; Some directions for future research.
|Book :Functional analysis lecture notes
Contents: Normed Linear Spaces; Banach spaces; Linear Transformations; Integration; Hilbert spaces; Fourier analysis.
|Book :Topology Lecture Notes
Contents: Topological Spaces; Properties of Topological Spaces; Homotopy equivalence; The Fundamental Group; Covering spaces; Classification of surfaces; Simplicial complexes and Homology groups; More. . . . .
|Book :Entropy of Compact Group Automorphisms
Contents: Introduction and examples; Fourier analysis on groups; Measure-theoretic entropy; Properties of metric entropy; Entropy as an invariant; Topological entropy I: definitions; Topological entro. . . . .
|Book :An Introduction to Celestial Mechanics
The aim of this book is to bridge the considerable gap between standard undergraduate
treatments of celestial mechanics, which rarely advance much beyond two-body orbit theory,
and full-blown gradua. . . . .
|Book :Categories, Types and Structures
Introduction: Categories: Constructions:
Functors and Natural Transformations:
Categories Derived from Functors and Natural Transformations: Universal Arrows and Adjunctions: Cones and Limits: Inde. . . . .
|Book :Computational Category Theory
Computational Category Theory is an implementation of concepts and constructions from category theory in the functional programming language Standard ML. The original ideas are due to R.M. Burstall, a. . . . .
|Book :An Introduction to Proof Theory
Table of contents: This is an introduction to proof complexity. 1. Proof theory and Propositional Logic. Frege proof systems. The propositional sequent calculus. Proposition resolution refutations. . . . . .
|Book :First-Order Proof Theory of Arithmetic
Table of contents: This is an introduction to the proof theory of arithmetic.. 1. Fragments of Arithmetic. Very weak fragments of arithmetic. Strong fragments of arithmetic. Fragments of bounded arith. . . . .
|Book :Logics of time and computation
These notes are based on lectures, given at Stanford in the Spring Quarter
of 1986, on modal logic, emphasising temporal and dynamic logics. The
main aim of the course was to study some systems that. . . . .
|Book :Mathematics of modality
Contents: Mathematics of modal logics; semantic analysis and orthologic; orthomoduloarity is not elementary; arithmetical necessity probability and intuitionistic logic; diodorean modality in Minkowsk. . . . .
|Book :Model-Theoretic Logics
Contents; Introduction, Basic Theory and Examples; Model-Theoretic Logics: Background and Aims;Extended Logics: The General Framework; Characterizing Logics; Finitary Languages with Additional Quantif. . . . .
|Book :Reinforcement Learning: An Introduction
This introductory textbook on reinforcement learning is targeted toward engineers and scientists in artificial intelligence, operations research, neural networks, and control systems, and we hope it w. . . . .
|Book :How to Design Programs
Contents: Processing Simple Forms of Data; Students, Teachers, and Computers; Numbers, Expressions, Simple Programs; Programs are Function Plus Variable Definitions; Conditional Expressions and Funct. . . . .
|Book :Thermodynamics and Chemistry
Thermodynamics and Chemistry is designed primarily as a textbook for a one-semester course in classical chemical thermodynamics at the graduate or undergraduate level. It can also serve as a supplemen. . . . .
|Book :Introduction to models of quantum computation and quantum programming languages
The goal of this report is to provide an introduction to the basic computational models used in quantum information theory. We various review models of quantum Turing machine, quantum circuits and qua. . . . .
|Book :Solve the Master Equation by Python-An Introduction to the Python Computing Environment
A brief introduction to the Python computing environment is given. By solving the master equation encountered in quantum transport, we give an example of how to solve the ODE problems in Python. The O. . . . .