Science / Studies

Mathematics Books

• Ludwig Arnold. Random Dynamical Systems (Springer Monographs in Mathematics)
• Sudipto Bhattacharya, George M. Constantinides. Theory of Valuation
• Tran Duc Van. Differential Operations of Infinite Order With Real Arguments & Their Applications
• Saunders Mac Lane. Saunders Mac Lane: A Mathematical Autobiography
• Tarek Ahmed. Equations of State And Pvt Analysis
• John Horton Conway. On Numbers and Games
• Kaplan AP Calculus AB & BC 2009 Edition
• Zigzag: Pattern, Symmetry, Line Segment, Glide Reflection, Trace, Triangle Wave, Sawtooth Wave, Pinking Shears
• Snub 24-cell: Geometry, Uniform Polychoron, Cell, Semiregular 4-polytope, Platonic Solid, Tetrahedron, Icosahedron, Rectified 5-cell, Rectified 600-cell, Truncated 24-cell
• Reciprocal Lattice: Crystallography, Multiplicative Inverse, Bravais Lattice, Euclidean Vector, Wigner?Seitz Cell, Invertible Matrix, Spatial Frequency, Real Space, Dynamical Theory of Diffraction
• Solid of revolution: Mathematics, Shape, Plane Curve, Line, Pappus's Centroid Theorem, Volume Element, Cylinder, Surface of Revolution, Gabriel's Horn, Dimension, Disk Integration, Shell Integration
• Primitive Equations: Atmosphere, Global Climate Model, Momentum, Navier?Stokes Equations, Energy Conservation, Continuity Equation, Theory of Tides, Eigenvalue, Eigenvector and Eigenspace
• Scalar Potential: Scalar Potential, Scalar Curvature, Riemannian Geometry, Curvature, Riemannian Manifold, Real Number, Gaussian Curvature, Volume, Curvature of Riemannian Manifolds
• Solvable group: Mathematics, Group Theory, Abelian Group, Group Extension, Commutator Subgroup, Trivial Group, Galois Theory, Polynomial, Galois Group, Subgroup Series, Normal Subgroup
• Primitive Recursive Arithmetic: Quantification, Thoralf Skolem, Finitism, Foundations of Mathematics, Ordinal Analysis, Peano Axioms, Natural Number, Primitive Recursive Function, Addition
• Scale-free Network: Scale-free Network, Complex Network, Degree Distribution, Power Law, Preferential Attachment, Derek J. de Solla Price, Pareto Distribution, Heavy-tailed Distribution
• Solved game: Game, Constructive Proof, Strategy-Stealing Argument, Game Tree, Tic-Tac-Toe, Combinatorial Game Theory, Chomp, Hex, Maharajah and the Sepoys, Game Complexity
• Primitive Recursive Function: Recursion, Function Composition, Subset, ?-recursive Function, Computable Function, Rozsa Peter, Computability Theory, Function
• Rectified 5-Cell: Fourth Dimension, Geometry, Rectification, Pentachoron, Uniform Polychoron, Cell, Vertex Figure, Triangular Prism, Semiregular 4-Polytope, Platonic Solid, Thorold Gosset
• Primitive Root Modulo N: Modular Arithmetic, Number Theory, Coprime, Multiplicative Group of Integers Modulo N, Carl Friedrich Gauss, Disquisitiones Arithmeticae, Leonhard Euler
• Scale Parameter: Scale Parameter, Probability Theory, Statistics, Numerical Parameter, Parametric Family, Probability Distribution, Cumulative Distribution Function, Scale Ratio
• Space-filling curve: Mathematical Analysis, Curve, Unit Square, Hypercube, Plane, Dragon Curve, Gosper Curve, Moore Curve, Sierpi?ski Curve
• Scaling Geometry: Scaling Geometry, Euclidean Geometry, Isotropy, Linear Map, Scale Factor, Homothetic Transformation, Similarity Geometry, Anisotropy, Scale Ratio, Scale Map
• Principal Bundle: Cartesian Product, Group, Group Action, Topology, Fiber Bundle, Frame Bundle, Vector Bundle, Basis, General linear Group
• Scheme Mathematics: Scheme Mathematics, Mathematics, Algebraic Geometry, Commutative Algebra, Number Theory, Alexander Grothendieck, Algebraic Variety, Topological Space
• Principal Homogeneous Space: Mathematics, Group, Homogeneous Space, Group Action, Category, Topological Group, Topological Space, Continuous Function
• Schlafli-Hess Polychoron: Schlafli-Hess Polychoron, Geometry, Star Polyhedron, Polychoron, Ludwig Schlafli, Edmund Hess, Schlafli Symbol, Kepler?Poinsot Polyhedron, Star Polygon
• Renormalization Group: Euclid, Ernst Stueckelberg, Renormalization, Nanotechnology, Quantum Field Theory, Solid-State Physics, Quantum Electrodynamics, Critical Phenomena
• Spearman's rank correlation coefficient: Statistics, Non-Parametric Statistics, Raw Score, Null Hypothesis, Fisher Transformation, Statistical Hypothesis ... Confidence Interval, Correspondence Analysis
• Stirling Number of the First Kind: Stirling Number, James Stirling, Combinatorics, Stirling Numbers of the Second Kind, Permutation, Pascal's Triangle, Recurrence Relation, Kronecker Delta
• Special linear group: Mathematics, Matrix Multiplication, Invertible Matrix, Normal Subgroup, General Linear Group, Lie Subgroup, Lie Algebra, Polar Decomposition, Unitary Matrix, Hermitian Matrix
• Repeating Decimal: Fraction, Linear Equation, Irrational Number, Long Division, Decimal, Vinculum, Primitive Root Modulo N, Irreducible Fraction
• Principle of Maximum Entropy: Bayesian Probability, Axiom, Probability Distribution, Entropy, Information, Statistical Mechanics, Information Theory
• Specialization (pre)order: Mathematics, Topological Space, T1 Space, Separation Axiom, Partially Ordered Set, Denotational Semantics, Order Theory, Domain Theory, Algebraic Geometry, Generic Point
• Stirling Number of the Second Kind: Stirling Number, Combinatorics, Stirling Numbers of the First Kind, Bell Number, Empty Product, Pochhammer Symbol, ... Binomial Coefficient, Sierpinski Triangle
• Spectral method: Applied Mathematics, Computational Science, Partial Differential Equation, Fast Fourier Transform, Ordinary Differential Equation, Chebyshev Polynomials, Finite Element Method
• Regular Polyhedron: Polyhedron, Congruence, Regular Polygon, Vertex, Isotoxal Figure, Isogonal Figure, Isohedral Figure, Flag, Schlafli Symbol, Star Polyhedron, Kepler?Poinsot Polyhedron
• Probabilistic Method: Constructive Proof, Combinatorics, Paul Erd?s, Probability, Mathematics, Number Theory, Linear Algebra, Real Analysis, Expected Value, Random Variable
• Zhi-Wei Sun: Number Theory, Group Theory, Nanjing University, Covering System, Restricted Sumset, Zero-sum Problem, Wall-Sun-Sun Prime, Fermat's Last Theorem
• Spectral sequence: Stellar Classification, Mathematics, Homological Algebra, Algebraic Topology, Group Cohomology, Homotopy, Leray Spectral Sequence, Chain Complex, Abelian Category
• Schuette?Nesbitt Formula: Schuette?Nesbitt Formula, Probability Theory, Inclusion?exclusion Principle, Cecil J. Nesbitt, Actuarial Science, Net Premium Valuation, Life Annuity, Life Insurance
• Pauli Exclusion Principle: Wolfgang Pauli, Quantum Mechanics, Quantum State, Quantum Number, Quantum Field Theory, Skew-symmetric Matrix, Wave Function
• Giuseppe Della Sala. Geometric properties of non-compact CR manifolds (Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore))
• P-C. G. Vassiliou. Applied Stochastic Finance (Applied Stochastic Methods Series)
• Schur Multiplier: Schur Multiplier, Mathematics, Group Theory, Finite Group, Issai Schur, Group Cohomology, Abelian Group, Sylow Theorems, Dihedral Group of Order 6
• Spectrum of a C*-algebra: C*-Algebra, Unitary Equivalence, Hilbert Space, Topological Space, Simple Module, Spectrum of a Ring, Locally Compact Group, Plancherel Theorem
• Probability Density Function: Probability Theory, Random Variable, Function, Probability Distribution, Cumulative Distribution Function, Probability Mass Function
• Regular Polytope: Mathematics, Polytope, Symmetry, Flag, Regular Polygon, Regular Polyhedron, Aesthetics, Facet, Abstract Polytope, Polychoron, List of ... Star Polygon, Hypercube, Cross-Polytope
• Representation Theory of the Lorentz Group: Half-Integer, Spinor, Riemann Sphere, Hypergeometric Series, Riemann's Differential Equation, Spherical Harmonics, Emission Spectrum, Complexification
• Sperner's lemma: Mathematics, Sperner Family, Brouwer Fixed Point Theorem, Triangulation, Root-Finding Algorithm, Fair Division, Intermediate Value Theorem, Borsuk?Ulam Theorem
• Schwarz Triangle: Schwarz Triangle, Geometry, Spherical Trigonometry, Tessellation, Sphere, Finite Group, Triangle Group, Complete Graph, Vertex Angle, Coxeter?Dynkin Diagram
• Probability Space: Probability Theory, Randomness, Sample Space, Event, Sigma-Algebra, Measure, Probability Axioms, Andrey Kolmogorov
• Probit: Probability Theory, Inverse Function, Cumulative Distribution Function, Quantile Function, Normal Distribution, Q-Q plot, Probit Model, Sigmoid Function
• Tangent Bundle: Mathematics, Differentiable Manifold, Disjoint Union, Tangent Space, Projection (mathematics), Vector Bundle, Fiber Bundle, Dual Bundle, Disjoint Union (topology), Frame Bundle
• Sphere packing: Mathematics, Dimension, Euclidean Space, Sphere, Hyperbolic Space, Symmetry, Carl Friedrich Gauss, Hexagon, Honeycomb, Circle Packing Theorem
• Schwarzschild Coordinates: Schwarzschild Coordinates, Pseudo-Riemannian Manifold, Spherically Symmetric Spacetime, Atlas Topology, Spherical Coordinate System, Static Spacetime, Spacetime
• Parabolic Partial Differential Equation: Partial Differential Equation, Heat Equation, Black?Scholes, Parabola, Elliptic Operator, Ricci Flow, Hyperbolic ... Equation, Heat, Probability Theory
• Problem of Apollonius: Euclidean Geometry, Circle, Tangent, Apollonius of Perga, Pappus of Alexandria, Adriaan van Roomen, Hyperbola, Compass and Straightedge Constructions, Franciscus Vieta
• Spheroid: Quadric, Ellipse, Ellipsoid, Semidiameter, Eccentricity, Angular Eccentricity, Latitude, Prolate Spheroid, Oblate Spheroid, Oval, Gaussian Curvature
• Schwarzschild Metric: Schwarzschild Metric, Schwarzschild Coordinates, Pseudo-Riemannian Manifold, Spherically Symmetric Spacetime, Atlas Topology, Spherical Coordinate System, Static Spacetime
• Relation Algebra: Mathematics, Abstract Algebra, Residuated Boolean Algebra, Involution, Composition of Relations, Inverse Relation, Algebraic Logic, Algebraic Structure, Cartesian Product
• Repunit: Integer Factorization, Trial Division, Fundamental Theorem of Arithmetic, Riemann Hypothesis, Local Zeta-Function, Clay Mathematics Institute, Millennium Prize Problems
• Tangent Lines to Circles: Euclidean Geometry, Theorem, Compass and Straightedge Constructions, Tangent, Perpendicular, Radius, Orthogonality, Secant Line, Transformation (geometry), Scaling (geometry)
• Spin group: Mathematics, Orthogonal Group, Exact Sequence, Lie Group, Simply Connected Space, Covering Space, Reflection Through the Origin, Clifford Algebra, Clifford Analysis
• Relation Reduction: Logic, Mathematics, Binary Relation, Indexed Family, Humpty Dumpty, Ternary Relation, Functional Decomposition, Reconstruction Conjecture, Database Normalization, Projection
• Procrustes Analysis: Statistics, Shape Analysis, Shape, Procrustes, Landmark Point, Equivalence Class, Translation, Rotation
• Second Derivative Test: Second Derivative Test, Second Derivative, Calculus, Function Mathematics, Derivative, Acceleration, Velocity, Graph of a Function, ... Leibniz's Notation, Convex Function
• Spiral: Spiral, Mathematics, Curve, Spiral Galaxy, Stairway, Bookbinding, Archimedean Spiral, Seashell Surface, Celtic Maze, Spirangle, Euler Spiral, Hyperbolic Spiral
• Second Fundamental Form: Second Fundamental Form, Differential Geometry, Quadratic Form, Tangent Space, Differential Geometry of Surfaces, Euclidean Space, First Fundamental Form
• Split-quaternion: Abstract Algebra, Associative Algebra, Hyperbolic Quaternion, Zero Divisor, Nilpotent, Multiplicative Inverse, Clifford Algebra, Linear Algebra, Split-Complex Number
• Seifert Surface: Seifert Surface, Mathematics, Herbert Seifert, Manifold, Knot Mathematics, Link Knot Theory, Euclidean Space, 3-sphere, Mobius Strip
• Seifert?van Kampen Theorem: Seifert?van Kampen Theorem, Seifert Surface, Mathematics, Herbert Seifert, Manifold, Knot Mathematics, Link Knot Theory, Euclidean Space, 3-sphere, Mobius Strip
• Taylor's Theorem: Calculus, Derivative, Function (mathematics), Polynomial, Smooth Function, Exponential Function, Joseph Louis Lagrange, Mean Value Theorem, Absolute Continuity
• Proof That 22/7 Exceeds ?: Mathematical Proof, Rational Number, Pi, Diophantine Approximation, Continued Fraction, Decimal Representation, Archimedes, 3rd century BC, Perimeter
• Reproducing Kernel Hilbert Space: Functional Analysis, Mathematics, Hilbert Space, Function Space, Bounded Operator, Complex Analysis, Quantum Mechanics, ... Riesz Representation Theorem, Hardy Space
• Square root: Mathematics, Real Number, Nth Root, Exponentiation, Complex Number, Matrix, Endomorphism Ring, Cube Root, Integer Square Root, Methods of Computing Square Roots
• Square pyramidal number: Mathematics, Figurate Number, Pyramid, Mathematical Induction, Fibonacci, Liber Abaci, Faulhaber's Formula, Tetrahedral Number, Squared Triangular Number
• Square number: Mathematics, Square, Square Root, Exponentiation, Zeroth, Integer Square Root, Methods of Computing Square Roots, Quadratic Residue, Polygonal Number, Square Triangular Number
• Square root of 2: Real Number, Mathematical Constant, Square Root, Pythagorean Theorem, Decimal, Babylonia, Square Root of 3, Silver Ratio, Interval, Equal Temperament, Viete's Formula, Hippasus
• Robert A. Nehmer, Jose Garcia Perez, Salvador Cruz Rambaud. Algebraic Models For Accounting Systems
• Xu Jiagu. Lecture Notes on Mathematical Olympiad Courses: For Junior Section (Mathematical Olympiad Series)
• Soren S Nielson, Andrea Consiglio. Practical Financial Optimization: A Library of GAMS Models (The Wiley Finance Series)
• Ella Hawley. The Number 3 (Numbers in My World)
• Ella Hawley. The Number 4 (Numbers in My World)
• Ella Hawley. The Number 5 (Numbers in My World)
• Krishan L. Duggal, Bayram Sahin. Differential Geometry of Lightlike Submanifolds (Frontiers in Mathematics)
• Rene Schilling, Renming Song, Zoran Vondracek. Bernstein Functions: Theory and Applications (de Gruyter Studies in Mathematics)
• Mathematical puzzle: Recreational mathematics, Multiplayer game, Logic puzzle, Fractal, Mathematical game, Four fours, Feynman Long Division Puzzles
• Dodecagon: Geometry, Polygon, Schlafli symbol, Circumscribed circle, Petrie polygon, Dodecagonal number, Dodecahedron, Polyhedron
• Decagon: Geometry, Polygon, Constructible polygon, Pentagon, Petrie polygon, Projection (linear algebra)
• Combinatorics: Pure mathematics, Mathematics, Algebra, Ergodic theory, Geometry, Enumerative combinatorics, Combinatorial design
• Graph theory: Graph (mathematics), Graph, Leonhard Euler, Alexandre-Theophile Vandermonde, Gottfried Leibniz
• Digital geometry: Discrete space, Euclidean space, Image analysis, Computer graphics, Bresenham's line algorithm, Pick'stheorem, Mathematical morphology
• Tensor (intrinsic definition): Mathematics, Abstract Object, Linear Algebra, Multilinear Algebra, Homological Algebra, Physical Property, Tensor Product, Rank (linear algebra), Differentiable Manifold
• Tensor Algebra: Mathematics, Vector Space, Algebra Over a Field, Tensor, Free Algebra, Associative Algebra, Direct Sum of Modules, Free Object, Commutative Diagram, Quotient Ring, Exterior Algebra
• Tensor Product: Mathematics, Vector Space, Matrix (mathematics), Tensor, Algebra Over a Field, Topological Vector Space, Bilinear Map, Monoidal Category, Free Module, Equivalence Relation
• Tensor Product of Fields: Mathematics, Field (mathematics), Abstract Algebra, Direct Product, Field Extension, Distributivity, Ordered Field, Finite Field, P-adic Number, Linear Algebra
• Tesseract: Geometry, Fourth Dimension, Cube, Square (geometry), Cell (geometry), Convex Regular 4-polytope, Hypercube, Duoprism, 16-cell, Dual Polyhedron, Hyperplane
• S-Box: Cryptography, Symmetric-Key Algorithm, Block Cipher, Ciphertext, Claude Shannon, Confusion and Diffusion, Bit, Twofish, Key, Bruce Schneier, International Data Encryption Algorithm
• Principle of Sufficient Reason: Reason, Gottfried Leibniz, Anaximander, Fatalism, Problem of Future Contingents, Haecceity, Buridan's Ass, Discourse on Metaphysics, Closed System, Law of Thought
• Tetrahedral Symmetry: Tetrahedron, Point Groups in Three Dimensions, List of Spherical Symmetry Groups, Crystal System, Cubic Crystal System, Conjugacy Class, Lagrange's Theorem (group theory)
• Douglas Kennedy. Stochastic Financial Models (Chapman & Hall/CRC Financial Mathematics Series)
• Marcel Berger. Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry
• Dual Space: Mathematics, Vector space, Linear functional, Tensor, Tensor algebra, Measure (mathematics), Functional analysis, Topological vector space, ... (projective geometry), Pontryagin duality
• The Nine Chapters on the Mathematical Art: Mathematical Treatise in Nine Sections, Mathematics, Axiom, Science and Technology of the Han Dynasty, History of Geometry, History of Mathematics
• Strouhal Number: Dimensional Analysis, Dimensionless Quantity, Vincenc Strouhal, Vortex Shedding, Fluid Mechanics, Reynolds Number, Roshko Number, Metrology, Froude Number
• The Quadrature of the Parabola: Geometry, Archimedes, Parabola, Inscribed Figure, Method of Exhaustion, Geometric progression, Geometric Series, Integral, Euclid, Analytic Geometry
• Verity Carr. Complex Numbers Made Simple
• John Cassidy. How Markets Fail: The Logic of Economic Calamities
• Kaplan AP Calculus AB & BC 2011
• American BookWorks Corporation. CliffsTestPrep® Regents Integrated Algebra Workbook
• O. Carruth McGehee. An Introduction to Complex Analysis
• Martin J. Erickson. Introduction to Combinatorics
• Roger W. Carter. Simple Groups of Lie Type
• John D. Kalbfleisch. The Statistical Analysis of Failure Time Data
• Cedric Pralet. Sequential Decision–Making Problems
• J. D. Lambert. Numerical Methods for Ordinary Differential Systems
• Evgeny Sharikov. Condition for global minimum through abstract convexity: Abstract subdifferentials, separation properties