Tabla de Contenidos: “…INTRODUCCIÓN AL ANÁLISIS FUNCIONAL -- PÁGINA LEGAL -- CONTENIDO -- PRÓLOGO -- 1 ESPACIOS DE BANACH -- 1.1 NORMAS Y ESPACIOS DE BANACH -- 1.2 NORMAS EQUIVALENTES E ISOMORFISMOS -- 1.3 ESPACIOS DE BANACH DE DIMENSIÓN FINITA -- 1.4 ESPACIOS DE BANACH: EJEMPLOS -- 1.5 LOS ESPACIOS LP(Μ) -- 1.6 EL ESPACIO L,(E -- F) DE LAS FUNCIONES LINEALES CONTINUAS DE E EN F -- 1.7 TRES TEOREMAS FUNDAMENTALES -- 1.8 PRODUCTOS, SUBESPACIOS Y COCIENTES EN ESPACIOS DE BANACH -- 1.9 HIPERPLANOS, FORMAS LINEALES CONTINUAS Y LA FUNCIÓN TRANSPUESTA -- 1.10 MEDIDAS RADONIANAS -- 1.11 FUNCIONES Φ- ADITIVAS Y Σ- ADITIVAS -- 1.12 EJERCICIOS -- 2 ESPACIOS DE HILBERT -- 2.1 FORMAS BILINEALES Y PRODUCTOS ESCALARES -- 2.2 ESPACIOS PREHILBERTIANOS Y ESPACIOS HILBERTIANOS -- 2.3 EL COMPLETANTE DE UN ESPACIO PREHILBERT -- 2.4 LA PROYECCIÓN MÉTRICA EN LOS ESPACIOS DE HILBERT -- 2.5 ORTOGONALIDAD Y PROYECCIONES ORTOGONALES -- 2.6 FAMILIAS SUMABLES EN LOS ESPACIOS DE BANACH -- 2.7 BASES TOPOLÓGICAS EN LOS ESPACIOS DE BANACH -- 2.8 BASES ORTOGONALES EN ESPACIOS DE HILBERT -- 2.9 SUMAS HILBERTIANAS Y SUMAS VECTORIALES -- 2.10 EL OPERADOR ADJUNTO -- 2.11 LA CONVERGENCIA DÉBIL EN LOS ESPACIOS DE HILBERT -- 2.12 EJERCICIOS -- 3 SERIES DE FOURLER Y TRANSFORMADA DE FOURLER -- 3.1 LA SERIE DE FOURIER DE UNA FUNCIÓN EN EL INTERVALO [ - Π, Π] -- 3.2 CONVERGENCIA PUNTUAL DE LAS SERIES DE FOURIER -- 3.3 DIFERENCIACIÓN E INTEGRACIÓN DE LAS SERIES DE FOURIER -- 3.4 LA TRANSFORMADA DE FOURIER EN L1 (Λ N) -- 3.5 ALGUNAS TRANSFORMADAS DE FOURIER -- 3.6 LA FÓRMULA DE INVERSIÓN DE FOURIER -- 3.7 LA TRANSFORMADA DE FOURIER EN L2 (ΛN) -- 3.8 EJERCICIOS -- 4 LOS OPERADORES HERMITIANOS COMPACTOS Y SUS VALORES PROPIOS -- 4.1 LOS OPERADORES HERMITIANOS -- 4.2 LOS OPERADORES COMPACTOS -- 4.3 ECUACIONES LINEALES Y OPERADORES COMPACTOS -- 4.4 VALORES PROPIOS DE LOS OPERADORES HERMITIANOS COMPACTOS…”

Tabla de Contenidos: “…6.8.4 Setting Up the Control Tags -- 6.8.5 Importing the Graphics Files -- 6.8.6 Assembling the GUI -- 6.8.7 Setting the Background -- 6.8.8 Adding the GUI Elements -- 6.8.9 Saving and Re-Building -- 6.8.10 Scaling the GUI -- 6.8.11 More ASPiK Features -- 6.9 Bibliography -- Chapter 7: Using RackAFX to Create ASPiK Projects -- 7.1 Installing RackAFX -- 7.2 Getting Started With RackAFX -- 7.3 Setting Up Your Project Preferences and Audio Hardware -- 7.4 Installing VSTGUI4 -- 7.5 Creating a Project and Adding GUI Controls -- 7.5.1 Numerical Continuous Controls -- 7.5.2 String-List Controls -- 7.5.3 Meters -- 7.6 Anatomy of Your RackAFX Project -- 7.7 Testing Audio Algorithms With RackAFX -- 7.8 RackAFX Impulse Convolver and FIR Design Tools -- 7.9 Designing Your Custom GUI -- 7.10 Exporting Your ASPiK Project -- 7.11 Bibliography -- Chapter 8: C++ Conventions and How to Use This Book -- 8.1 Three Types of C++ Objects -- 8.1.1 Effect Objects Become Framework Object Members -- 8.1.2 All Effect Objects and Most DSP Objects Implement Common Interfaces -- 8.1.3 DSP and Effect Objects Use Custom Data Structures for Parameter Get/Set Operations -- 8.1.4 Effect Objects Accept Native Data From GUIs -- 8.1.5 Effect Objects Process Audio Samples -- 8.1.5.1 Series Objects -- 8.1.5.2 Parallel Objects -- 8.1.6 Effect Objects Optionally Process Frames -- 8.2 Book Projects -- 8.2.1 ASPiK Users -- 8.2.2 JUCE and Other Non-ASPiK Users -- 8.2.3 A Sample Plugin Project: GUI Control Definition -- Chapter 9: How DSP Filters Work (Without Complex Math) -- 9.1 Frequency and Phase Response Plots -- 9.2 Frequency and Phase Adjustments From Filtering -- 9.3 1st Order Feed-Forward Filter -- 9.4 1st Order Feedback Filter -- 9.5 Final Observations -- 9.6 Homework -- 9.7 Bibliography -- Chapter 10: Basic DSP Theory -- 10.1 The Complex Sinusoid -- 10.2 Complex Math Review…”

Ressenya:

Tabla de Contenidos: “…8.1 Basic Approaches -- 8.2 Integration by Parts -- 8.3 Trigonometric Integrals -- 8.4 Trigonometric Substitutions -- 8.5 Partial Fractions -- 8.6 Other Integration Strategies -- 8.7 Numerical Integration -- 8.8 Improper Integrals -- 8.9 Introduction to Differential Equations -- Review Exercises -- 9 Sequences and Infinite Series -- 9.1 An Overview -- 9.2 Sequences -- 9.3 Infinite Series -- 9.4 The Divergence and Integral Tests -- 9.5 The Ratio, Root, and Comparison Tests -- 9.6 Alternating Series -- Review Exercises -- 10 Power Series -- 10.1 Approximating Functions with Polynomials -- 10.2 Properties of Power Series -- 10.3 Taylor Series -- 10.4 Working with Taylor Series -- Review Exercises -- 11 Parametric and Polar Curves -- 11.1 Parametric Equations -- 11.2 Polar Coordinates -- 11.3 Calculus in Polar Coordinates -- 11.4 Conic Sections -- Review Exercises -- 12 Vectors and Vector-Valued Functions -- 12.1 Vectors in the Plane -- 12.2 Vectors in Three Dimensions -- 12.3 Dot Products -- 12.4 Cross Products -- 12.5 Lines and Curves in Space -- 12.6 Calculus of Vector-Valued Functions -- 12.7 Motion in Space -- 12.8 Length of Curves -- 12.9 Curvature and Normal Vectors -- Review Exercises -- 13 Functions of Several Variables -- 13.1 Planes and Surfaces -- 13.2 Graphs and Level Curves -- 13.3 Limits and Continuity -- 13.4 Partial Derivatives -- 13.5 The Chain Rule -- 13.6 Directional Derivatives and the Gradient -- 13.7 Tangent Planes and Linear Approximation -- 13.8 Maximum/Minimum Problems -- 13.9 Lagrange Multipliers -- Review Exercises -- 14 Multiple Integration -- 14.1 Double Integrals over Rectangular Regions -- 14.2 Double Integrals over General Regions -- 14.3 Double Integrals in Polar Coordinates -- 14.4 Triple Integrals -- 14.5 Triple Integrals in Cylindrical and Spherical Coordinates -- 14.6 Integrals for Mass Calculations…”

Tabla de Contenidos: “…7.2 Integration by Parts -- 7.3 Trigonometric integrals -- 7.4 Trigonometric substitutions -- 7.5 Partial Fractions -- 7.6 Other integration strategies -- 7.7 Numerical integration -- 7.8 Improper integrals -- 7.9 Introduction to differential Equations -- Review Exercises -- 8 Sequences and infinite series -- 8.1 An overview -- 8.2 Sequences -- 8.3 Infinite series -- 8.4 The divergence and integral Tests -- 8.5 The ratio, root, and comparison Tests -- 8.6 Alternating series -- Review Exercises -- 9 Power series -- 9.1 Approximating Functions with Polynomials -- 9.2 Properties of Power series -- 9.3 Taylor series -- 9.4 Working with Taylor series -- Review Exercises -- 10 Parametric and Polar curves -- 10.1 Parametric Equations -- 10.2 Polar coordinates -- 10.3 Calculus in Polar coordinates -- 10.4 Conic sections -- Review Exercises -- 11 Vectors and Vector-Valued Functions -- 11.1 Vectors in the Plane -- 11.2 Vectors in Three dimensions -- 11.3 Dot Products -- 11.4 Cross Products -- 11.5 Lines and curves in space -- 11.6 Calculus of Vector-Valued Functions -- 11.7 Motion in space -- 11.8 Length of curves -- 11.9 Curvature and normal Vectors -- Review Exercises -- 12 Functions of several Variables -- 12.1 Planes and surfaces -- 12.2 Graphs and level curves -- 12.3 Limits and continuity -- 12.4 Partial derivatives -- 12.5 The chain rule -- 12.6 Directional derivatives and the Gradient -- 12.7 Tangent Planes and linear approximation -- 12.8 Maximum/minimum Problems -- 12.9 Lagrange multipliers -- Review Exercises -- 13 Multiple integration -- 13.1 Double integrals over rectangular regions -- 13.2 Double integrals over General regions -- 13.3 Double integrals in Polar coordinates -- 13.4 Triple integrals -- 13.5 Triple integrals in cylindrical and spherical coordinates -- 13.6 Integrals for mass calculations…”

Tabla de Contenidos: “…Cover -- Half Title Page -- Title Page -- Copyright Page -- Contents -- Preface -- Publisher's Acknowledgements -- 1 EssentialsofLogicand Set Theory -- 1.1 Essentials of Set Theory -- 1.2 Some Aspects of Logic -- 1.3 Mathematical Proofs -- 1.4 Mathematical Induction -- Review Exercises -- 2 Algebra -- 2.1 The Real Numbers -- 2.2 Integer Powers -- 2.3 Rules of Algebra -- 2.4 Fractions -- 2.5 Fractional Powers -- 2.6 Inequalities -- 2.7 Intervals and Absolute Values -- 2.8 Summation -- 2.9 Rules for Sums -- 2.10 Newton's Binomial Formula -- 2.11 Double Sums -- Review Exercises -- 3 Solving Equations -- 3.1 Solving Equations -- 3.2 Equations and Their Parameters -- 3.3 Quadratic Equations -- 3.4 Nonlinear Equations -- 3.5 Using Implication Arrows -- 3.6 Two Linear Equations in Two Unknowns -- Review Exercises -- 4 Functions of One Variable -- 4.1 Introduction -- 4.2 Basic Definitions -- 4.3 Graphs of Functions -- 4.4 Linear Functions -- 4.5 Linear Models -- 4.6 Quadratic Functions -- 4.7 Polynomials -- 4.8 Power Functions -- 4.9 Exponential Functions -- 4.10 Logarithmic Functions -- Review Exercises -- 5 Properties of Functions -- 5.1 Shifting Graphs -- 5.2 New Functions from Old -- 5.3 Inverse Functions -- 5.4 Graphs of Equations -- 5.5 Distance in the Plane -- 5.6 General Functions -- Review Exercises -- 6 Differentiation -- 6.1 Slopes of Curves -- 6.2 Tangents and Derivatives -- 6.3 Increasing and Decreasing Functions -- 6.4 Rates of Change -- 6.5 A Dash of Limits -- 6.6 Simple Rules for Differentiation -- 6.7 Sums, Products, and Quotients -- 6.8 The Chain Rule -- 6.9 Higher-Order Derivatives -- 6.10 Exponential Functions -- 6.11 Logarithmic Functions -- Review Exercises -- 7 Derivatives in Use -- 7.1 Implicit Differentiation -- 7.2 Economic Examples -- 7.3 Differentiating the Inverse -- 7.4 Linear Approximations -- 7.5 Polynomial Approximations…”