“…This book is aimed at high school students who might be in Algebra II or Pre-Calculus. It shows the geometrical and practical sides of these topics that otherwise can drown in their own algebra. …”

“…Der präsentierte Stoff entspricht einer zweistündigen Vorlesung im Grundlagenbereich, wobei Basis-Kenntnisse aus der Analysis und der Linearen Algebra vorausgesetzt sind. Die Autoren zeigen Parallelen bei den Untersuchungen von linearen Differential- und linearen Differenzengleichungen auf, wobei die Vorgehensweisen anhand von vielen Beispielen ausführlich illustriert werden. …”

“…With extensive graphical displays, this self-contained book integrates concepts from calculus and linear algebra into the construction of wavelet transformations and their various applications, including data compression, edge detection in images, and signal and image denoising. …”

“…Provides a smooth and pleasant transition from first-year calculus to upper-level mathematics courses in real analysis, abstract algebra and number theory Most universities require students majoring in mathematics to take a “transition to higher math” course that introduces mathematical proofs and more rigorous thinking. …”

“…Requiring only multivariable calculus and linear algebra, it develops students’ geometric intuition through interactive computer graphics applets supported by sound theory…”

“…Created for software engineers and budding data scientists, the course requires basic familiarity with Python programming; as well as statistics concepts such as linear and logistic regression, machine learning concepts like classification, and linear algebra. Jupyter Notebook is used to write and run code. …”

“…The correspondence reflects a crucial period in the development of 20th century algebra and number theory, in particular class field theory. …”

“…On the other hand, since the early 1990s, under the strong influence of Gröbner bases, binomial ideals became gradually fashionable in commutative algebra. The last ten years have seen a surge of research work in the study of monomial and binomial ideals. …”

Tabla de Contenidos: “…Front Cover -- Tilte Page -- Copyright Page -- Contents -- Preface -- 1 Digital Systems and Binary Numbers -- 1.1 Digital Systems -- 1.2 Binary Numbers -- 1.3 Number‐Base Conversions -- 1.4 Octal and Hexadecimal Numbers -- 1.5 Complements of Numbers -- 1.6 Signed Binary Numbers -- 1.7 Binary Codes -- 1.8 Binary Storage and Registers -- 1.9 Binary Logic -- 2 Boolean Algebra and Logic Gates -- 2.1 Introduction -- 2.2 Basic Definitions -- 2.3 Axiomatic Definition of Boolean Algebra -- 2.4 Basic Theorems and Properties of Boolean Algebra -- 2.5 Boolean Functions -- 2.6 Canonical and Standard Forms -- 2.7 Other Logic Operations -- 2.8 Digital Logic Gates -- 2.9 Integrated Circuits -- 3 Gate‐Level Minimization -- 3.1 Introduction -- 3.2 The Map Method -- 3.3 Four‐Variable K‐Map -- 3.4 Product‐of‐Sums Simplification -- 3.5 Don't‐Care Conditions -- 3.6 NAND and NOR Implementation -- 3.7 Other Two‐Level Implementations -- 3.8 Exclusive‐OR Function -- 3.9 Hardware Description Languages (HDLs) -- 3.10 Truth Tables in HDLs -- 4 Combinational Logic -- 4.1 Introduction -- 4.2 Combinational Circuits -- 4.3 Analysis of Combinational Circuits -- 4.4 Design Procedure -- 4.5 Binary Adder-Subtractor -- 4.6 Decimal Adder -- 4.7 Binary Multiplier -- 4.8 Magnitude Comparator -- 4.9 Decoders -- 4.10 Encoders -- 4.11 Multiplexers -- 4.12 HDL Models of Combinational Circuits -- 4.13 Behavioral Modeling -- 4.14 Writing a Simple Testbench -- 4.15 Logic Simulation -- 5 Synchronous Sequential Logic -- 5.1 Introduction -- 5.2 Sequential Circuits -- 5.3 Storage Elements: Latches -- 5.4 Storage Elements: Flip‐Flops -- 5.5 Analysis of Clocked Sequential Circuits -- 5.6 Synthesizable HDL Models of Sequential Circuits -- 5.7 State Reduction and Assignment -- 5.8 Design Procedure -- 6 Registers and Counters -- 6.1 Registers -- 6.2 Shift Registers -- 6.3 Ripple Counters…”

Tabla de Contenidos: “…Borzooei Nilpotent Fuzzy Subgroups Reprinted from: Mathematics 2018, 6, 27, doi: 10.3390/math6020027 . 92 -- Florentin Smarandache, Mehmet S ̧ ahin and Abdullah Kargın Neutrosophic Triplet G-Module Reprinted from: Mathematics 2018, 6, 53, doi: 10.3390/math6040053 . 104 -- Pannawit Khamrot and Manoj Siripitukdet Some Types of Subsemigroups Characterized in Terms of Inequalities of Generalized Bipolar Fuzzy Subsemigroups Reprinted from: Mathematics 2017, 5, 71, doi: 10.3390/math5040071 . 113 -- Seok-Zun Song, Seon Jeong Kim and Young Bae Jun Hyperfuzzy Ideals in BCK/BCI-Algebras † Reprinted from: Mathematics 2017, 5, 81, doi: 10.3390/math5040081 . 127 -- Young Bae Jun, Seok-Zun Song and Seon Jeong Kim Length-Fuzzy Subalgebras in BCK/BCI-Algebras Reprinted from: Mathematics 2018, 6, 11, doi: 10.3390/math6010011 . 141 -- Young Bae Jun, Florentin Smarandache,Seok-Zun Song and Hashem Bordbar Neutrosophic Permeable Values and Energetic Subsets withApplications in BCK/BCI-Algebras Reprinted from: Mathematics 2018, 6, 74, doi: 153 -- Harish Garg and Jaspreet Kaur A Novel (R, S)-Norm Entropy Measure of Intuitionistic Fuzzy Sets and Its Applications in Multi-Attribute Decision-Making Reprinted from: Mathematics 2018, 6, 92, doi: 10.3390/math6060092 . 169 -- Dheeraj Kumar Joshi, Ismat Beg and Sanjay Kumar Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision Making Problems Reprinted from: Mathematics 2018, 6, 47, doi: 10.3390/math6040047 . 188 -- Irina Georgescu The Effect of Prudence on the Optimal Allocation in Possibilistic and Mixed Models Reprinted from: Mathematics 2018, 6, 133, doi: 10.3390/math6080133 208 -- Rudolf Seising The Emergence of Fuzzy Sets in the Decade of the Perceptron-Lotfi A. …”

Tabla de Contenidos: “…Intro -- Title Page -- Copyright Page -- Table of Contents -- Introduction -- About This Book -- Conventions Used in This Book -- What You're Not to Read -- Foolish Assumptions -- Icons Used in This Book -- Beyond the Book -- Where to Go from Here -- Part 1 Introduction to Integration -- Chapter 1 An Aerial View of the Area Problem -- Checking Out the Area -- Comparing classical and analytic geometry -- Finding definite answers with the definite integral -- Slicing Things Up -- Untangling a hairy problem using rectangles -- Moving left, right, or center -- Defining the Indefinite -- Solving Problems with Integration -- We can work it out: Finding the area between curves -- Walking the long and winding road -- You say you want a revolution -- Differential Equations -- Understanding Infinite Series -- Distinguishing sequences and series -- Evaluating series -- Identifying convergent and divergent series -- Chapter 2 Forgotten but Not Gone: Review of Algebra and Pre-Calculus -- Quick Review of Pre-Algebra and Algebra -- Working with fractions -- Adding fractions -- Subtracting fractions -- Multiplying fractions -- Dividing fractions -- Knowing the facts on factorials -- Polishing off polynomials -- Powering through powers (exponents) -- Understanding zero and negative exponents -- Understanding fractional exponents -- Expressing functions using exponents -- Rewriting rational functions using exponents -- Simplifying rational expressions by factoring -- Review of Pre-Calculus -- Trigonometry -- Noting trig notation -- Figuring the angles with radians -- Identifying some important trig identities -- Asymptotes -- Graphing common parent functions -- Linear and polynomial functions -- Exponential and logarithmic functions -- Trigonometric functions -- Transforming continuous functions -- Polar coordinates -- Summing up sigma notation…”

Tabla de Contenidos: “…CÀLCUL D'ENUNCIATS; 1.1 LLENGUATGE; 1.1.2 FORMALITZACIÓ DEL LLENGUATGE NATURAL; 1.1.3 EXERCICIS; 1.2 TEORIA DE LA DEMOSTRACIÓ; 1.2.1 REGLES DE LA DEDUCCIÓ NATURAL; 1.2.2 DEMOSTRACIONS I SUBDEMOSTRACIONS; 1.2.3 TEOREMES; 1.2.4 REGLES DERIVADES; 1.2.5 EQUIVALÉNCIES DEDUCTIVES; 1.2.6 TEOREMA DE LA DEDUCCIÓ; 1.2.7 EXERCICIS; 1.3 TEORIA DE MODELS; 1.3.1 TAULES DE VERITAT; 1.3.2 CONSEQUÉNCIA LÓGICA; 1.3.3 VALIDACIÓ DE RAONAMENTS; 1.3.4 ALGORISME DE QUINE; 1.3.5 EXERCICIS; 1.4 ÀLGEBRA DE PROPOSICIONS; 1.4.1 L'ÁLGEBRA DE LA LÓGICA…”
Lectura limitada a 1 usuario concurrente.

Tabla de Contenidos: “…Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Author biographies -- Chapter 1 Natural Numbers -- 1.1 Prerequisites -- 1.1.1 Set Theory -- 1.1.2 Relation -- 1.1.3 Function -- 1.1.4 Cardinality -- 1.1.5 Algebra -- 1.2 Positive Integers -- 1.2.1 Positive Integers in Real Life -- 1.2.2 Set Theoretic Definition of Natural Numbers -- 1.2.3 Peano Axioms -- 1.2.4 Ordering in Natural Numbers -- 1.2.5 First Principle of Mathematical Induction -- 1.2.6 Second Principle of Mathematical Induction -- 1.2.7 Well-Ordering Principle…”

Tabla de Contenidos: “…FieldsDefinition and Properties; Subspaces; Linear Combinations and Span; Linear Independence, Dimension, and Basis; Linear Mappings; Mappings in General; Linear Mappings; Matrix Representation of Linear Mappings; Cramer's Rule; Eigenvalues and Eigenvectors; Euclidean Space; Inner Product Spaces; Orthogonality and Orthonormal Sets; Least Squares; Recommended Reading; 3 Vector Algebra; Vector Basics; Vector Equivalence; Vector Addition; Vector Subtraction; Vector Scaling; Properties of Vector Addition and Scalar Multiplication; Vector Space; Span; Linear Independence…”

Tabla de Contenidos: “…Front Cover; Time and Relational Theory; Copyright; Dedication; About the Authors; Contents; Preface; Part I: A Review of Relational Concepts; Chapter 1: Types and Relations; The Running Example; Types; Relations; Exercises; Answers; Chapter 2: Relational Algebra; Rename; Restrict; Project; Union, Intersect, and Minus; Join; Matching and Not Matching; Extend; Image Relations; Group and Ungroup; Extend bis; Relational Comparisons; Formulating Expressions One Step at a Time; Relational Completeness; Exercises; Answers; Chapter 3: Relation Variables; Relations vs. …”

Tabla de Contenidos: “…; The Data Dictionary; Sample Data Dictionary Tables; A Bit of History; For Further Reading; Chapter 6 - Relational Algebra; The Relational Algebra and SQL Example Database: Rare Books; The Sample Data; Making Vertical Subsets: Project…”

Tabla de Contenidos: “…Half Title; Title Page; Copyright; Dedication; Contents; Preface; 1 Differential Forms in Rn, I; 1.0 Euclidean spaces, tangent spaces, and tangent vector fields; 1.1 The algebra of differential forms; 1.2 Exterior differentiation; 1.3 The fundamental correspondence; 1.4 The Converse of Poincaré's Lemma, I; 1.5 Exercises; 2 Differential Forms in Rn, II; 2.1 1-Forms; 2.2 k-Forms; 2.3 Orientation and signed volume; 2.4 The converse of Poincaré's Lemma, II; 2.5 Exercises; 3 Push-forwards and Pull-backs in Rn; 3.1 Tangent vectors; 3.2 Points, tangent vectors, and push-forwards…”

Tabla de Contenidos: “…Chapter 6: Plotting Financial DataPlotting with Gnuplot; Solution; Complete Code; Running the Code; Plotting Data from a GUI; Solution; Complete Code; Running the Code; Conclusion; Chapter 7: Linear Algebra; Using Basic Linear Algebra Operations; Solution; Complete Code; Using Matrix-Oriented Operations; Solution; Complete Code; Running the Application; Calculate the Determinant of a Matrix; Solution; Complete Code; Conclusion; Chapter 8: Interpolation; Linear Interpolation; Solution; Complete Code; Running the Code; Polynomial Interpolation; Solution; Complete Code; Running the Code…”

Tabla de Contenidos: “…Cover; Copyright; Credits; About the Author; About the Reviewer; www.PacktPub.com; Table of Contents; Preface; Chapter 1: Functional Patterns - the Building Blocks; Higher-order functions; Functions as first-class citizens; Composing functions; Currying functions; Currying and composability; Decoupling with currying; Recursion; Non-tail recursion; Tail recursion; Folding abstracts recursion; Types, pattern matching, and polymorphism; Algebraic types and pattern matching; Recursive types; Polymorphism; Parametric polymorphism; Ad-hoc polymorphism; Functions, types, and patterns…”

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