Tabla de Contenidos: “…4.1 Finite Sets 4.2 Hilbert's Infinite Hotel; 4.3 Equivalent Sets and Cardinality; 5 Infinite Cardinals; 5.1 Countable Sets; 5.2 Uncountable Sets; 5.3 Two Infinities; 5.4 Power Sets; 5.5 The Arithmetic of Cardinals; 6 Well-Ordered Sets; 6.1 Successors of Elements; 6.2 Constructing Well Ordered Sets; 6.3 Cardinals as Ordinals; 6.4 Magnitude versus Cardinality; 7 Inductions and Numbers; 7.1 Mathematical Induction; 7.2 Sums of Powers of Integers; 7.3 Transfinite Induction; 7.4 Mathematical Recursion; 7.5 Number Theory; 7.6 The Fundamental Theorem of Arithmetic; 7.7 Perfect Numbers…”

Tabla de Contenidos: “…Surds -- Indices and logarithm -- Quadratic equation -- Complex numbers -- Set, relation and function -- Profit-loss, discount, commission and brokerage -- Simple interest, average due dates and rebate on bills discounted -- Compound interest and depreciation -- Annuity -- Limit and continuity -- Differential calculus -- Integral calculus (indefinite and definite integration) -- Applications of calculus (application of derivate) -- Point -- Straight line -- Staight lines -- Circle -- Parabola -- Ellipse -- Hyperbola -- Determinant -- Matrix algebra -- Permutation and combination -- Binomial expansion -- Principle of mathematical induction -- Sequence and series…”

Materias:

“…Discrete Mathematics will be of use to any undergraduate as well as post graduate courses in Computer Science and Mathematics. …”

Materias:

Tabla de Contenidos: “…5.1 Introduction to Numerical Methods -- 5.2 Errors and their Computation -- 5.2.1 Exact and Approximate Numbers -- 5.2.2 Significant Digits -- 5.2.3 Loss of Significant Digits -- 5.2.4 Rounding off -- 5.2.5 Rules for Rounding off -- 5.2.6 Absolute, Relative and Percentage Errors -- 5.3 Formulas for Errors -- 5.3.1 Relative Error -- 5.3.2 Error Bound for ã -- 5.3.3 Error Propagation -- 5.3.4 Error in Rounding -- 5.3.5 Programming Errors -- 5.3.6 Errors of Numerical Results -- 5.4 Mathematical Pre-requisites -- 5.5 Solution of Algebraic and Transcendental Equations -- 5.5.1 Introduction -- 5.5.2 Zero or Root of a Function -- 5.6 Direct Methods of Solution -- 5.6.1 Descartes' 4 Rule of Signs -- 5.7 Numerical Methods of Solution of Equations of the Form f (x) = 0 -- 5.7.1 Fixed Point Iteration (Successive Approximation) Method -- 5.7.2 Bolzano's5 (Bisection or Interval-Halving) Method -- 5.7.3 Newton-Raphson6 Method -- 5.7.4 Secants Method (or Chords Method) -- 5.7.5 Method of False Position (Regula Falsi) -- Exercise 5.1 -- Chapter 6: Interpolation -- 6.1 Introduction -- 6.1.1 Formula for Errors in Polynomial Interpolation -- 6.2 Interpolation with Equal Intervals -- 6.2.1 Finite Differences -- 6.2.2 Forward (Advancing) Difference Operator D -- 6.2.3 Properties Satisfi ed by D -- 6.2.4 Backward Difference Operator ∇ -- 6.3 Symbolic Relations and Separation of Symbols -- 6.3.1 Factorial Function -- 6.3.2 The Enlargement or Displacement or Shift Operator E -- 6.3.3 The Relations Between D, -, E and 1 -- Exercise 6.1 -- 6.4 Interpolation -- 6.4.1 The Differential Operator D: Relation Between D, -, E and D -- 6.5 Interpolation Formulas for Equal Intervals -- 6.5.1 Newton1-Gregory2 Forward Interpolation Formula -- 6.5.2 Newton-Gregory Backward Interpolation Formula -- Exercise 6.2 -- 6.6 Interpolation with Unequal Intervals -- 6.6.1 Divided Differences…”

Materias: “…Mathematics Textbooks…”

Tabla de Contenidos: “…Front Cover; Dedication; Contents; List of Figures and Tables; List of Algorithms; Preface; Part I: Introduction to Pricing and Management of Financial Securities; Chapter 1: Mathematics of Compounding; Chapter 2: Primer on Pricing Risky Securities; Chapter 3: Portfolio Management; Chapter 4: Primer on Derivative Securities; Part II: Discrete-Time Modelling; Chapter 5: Single-Period Arrow-Debreu Models; Chapter 6: Introduction to Discrete-Time Stochastic Calculus; Chapter 7: Replication and Pricing in the Binomial Tree Model; Chapter 8: General Multi-Asset Multi-Period Model…”

Materias: “…Mathematics Periodicals…”

Tabla de Contenidos: “…How to Grasp an Abstraction: Mathematical Models and Their Vicissitudes between 1830 and 1950. …”

Materias: “…Mathematics…”

Materias: “…Mathematical physics…”

Materias: “…Mathematical statistics…”

Materias: “…Women in mathematics…”

Tabla de Contenidos: “…Informal Reasoning in Mathematics; 7. Representation in Mathematics; 8. Infinity; 9. …”

Materias: “…Mathematics Study and teaching Periodicals…”

Tabla de Contenidos: “…† Reprinted from: Mathematics 2018, 6, 146, doi: 10.3390/math6090146 1 -- Krassimir Atanassov On the Most Extended Modal Operator of First Type over Interval-Valued Intuitionistic Fuzzy Sets Reprinted from: Mathematics 2018, 6, 123, doi: 10.3390/math6070123 25 -- Young Bae Jun, Seok-Zun Song and Seon Jeong Kim N -Hyper Sets Reprinted from: Mathematics 2018, 6, 87, doi: 10.3390/math6060087 . 35 -- Muhammad Akram and Gulfam Shahzadi Hypergraphs in m-Polar Fuzzy Environment Reprinted from: Mathematics 2018, 6, 28, doi: 10.3390/math6020028 . 47 -- Noor Rehman, Choonkil Park, Syed Inayat Ali Shah and Abbas Ali On Generalized Roughness in LA-Semigroups Reprinted from: Mathematics 2018, 6, 112, doi: 10.3390/math6070112 65 -- Hsien-Chung Wu Fuzzy Semi-Metric Spaces Reprinted from: Mathematics 2018, 6, 106, doi: 10.3390/math6070106 73 -- E. …”

“…Mathematical Theorems…”

Materias: “…Mathematics Research Russia (Federation) Periodicals…”

Tabla de Contenidos: “…Front Cover -- List of Symbols -- Title Page -- Copyright Page -- Contents -- Preface -- 1 Sets and Logic -- 1.1 Sets -- 1.2 Propositions -- 1.3 Conditional Propositions and Logical Equivalence -- 1.4 Arguments and Rules of Inference -- 1.5 Quantifiers -- 1.6 Nested Quantifiers -- Problem-Solving Corner: Quantifiers -- Chapter 1 Notes -- Chapter 1 Review -- Chapter 1 Self-Test -- Chapter 1 Computer Exercises -- 2 Proofs -- 2.1 Mathematical Systems, Direct Proofs, and Counterexamples -- 2.2 More Methods of Proof -- Problem-Solving Corner Proving Some Properties of Real Numbers -- 2.3 Resolution Proofs -- 2.4 Mathematical Induction -- Problem-Solving Corner Mathematical Induction -- 2.5 Strong Form of Induction and the Well-Ordering Property -- Chapter 2 Notes -- Chapter 2 Review -- Chapter 2 Self-Test -- Chapter 2 Computer Exercises -- 3 Functions, Sequences, and Relations -- 3.1 Functions -- Problem-Solving Corner: Functions -- 3.2 Sequences and Strings -- 3.3 Relations -- 3.4 Equivalence Relations -- Problem-Solving Corner: Equivalence Relations -- 3.5 Matrices of Relations -- 3.6 Relational Databases -- Chapter 3 Notes -- Chapter 3 Review -- Chapter 3 Self-Test -- Chapter 3 Computer Exercises -- 4 Algorithms -- 4.1 Introduction -- 4.2 Examples of Algorithms -- 4.3 Analysis of Algorithms -- Problem-Solving Corner Design and Analysis of an Algorithm -- 4.4 Recursive Algorithms -- Chapter 4 Notes -- Chapter 4 Review -- Chapter 4 Self-Test -- Chapter 4 Computer Exercises -- 5 Introduction to Number Theory -- 5.1 Divisors -- 5.2 Representations of Integers and Integer Algorithms -- 5.3 The Euclidean Algorithm -- Problem-Solving Corner Making Postage -- 5.4 The RSA Public-Key Cryptosystem -- Chapter 5 Notes -- Chapter 5 Review -- Chapter 5 Self-Test -- Chapter 5 Computer Exercises -- 6 Counting Methods and the PigeonholePrinciple…”