Gunter y Kuzmin: Colección de Problemas de Matemáticas Superiores, Parte II
por N. M. Gunter & R. O. Kuzmin
Traducido por Valery Manokhin, PhD
La segunda mitad completa la colección: integrales múltiples, curvilíneas y de superficie, teoría de campos y potencial, ecuaciones diferenciales ordinarias y en derivadas parciales, integrales impropias y funciones especiales, series y series de Fourier, cálculo aproximado, funciones de variable compleja, física matemática, cálculo de variaciones y probabilidad. 379 páginas.
🇺🇸 University level (multiple integrals, differential equations, series, complex variables, probability)
🇬🇧 University level
🇨🇦 University level
Adultos y autodidactas bienvenidos — las grandes matemáticas no tienen límite de edad.
Índice
10 capítulos, 71 secciones — el índice completo del libro impreso.
Translator's Preface
Ordinary and Partial Differential Equations19 secciónes
- Forming Differential Equations From Their Given Integrals
- Finding Functions From Their Total Differential
- Integration Of Complete Differentials
- Equations With Separable Variables
- Homogeneous Equations And Those Reducible To Them
- Linear Equations And Those Reducible To Them
- The Riccati Equation
- The Jacobi Equation
- Integrating Factor
- Euler Equations
- Equations
- Singular Solutions Of Equations
- Problems On Trajectories
- Miscellaneous Problems
- Higher-Order Equations Admitting Reduction Of Order
- Linear Equations With Constant Coefficients And Equations Reducible To Them
- Linear Equations. Miscellaneous Problems
- Systems Of Differential Equations
- Linear Equations In Partial Derivatives Of The First Order
Improper Integrals, Beta/Gamma, Special Functions, Fourier Integrals9 secciónes
- The Definite Integral As The Limit Of A Sum
- Mean-Value Theorems. Improper Integrals
- Evaluation Of Definite Integrals By Integration And Substitutions
- Evaluation Of Integrals By Means Of Reduction Formulas
- Integration By Means Of Series
- Differentiation And Integration Under The Integral Sign
- Eulerian Integrals
- Miscellaneous Problems
- Fourier Series And Related Questions
Series and Fourier Series4 secciónes
- Investigation Of The Convergence Of Series
- Direct Summation Of Finite Sums And Infinite Series
- Finding Sums Of Series By Differentiation; Some Series Expansions
- Miscellaneous Problems
Approximate Computation7 secciónes
- Interpolation. Theory Of Errors
- Approximate Evaluation Of Integrals
- The Euler—Maclaurin Formula And Similar Methods
- Acceleration Of The Convergence Of Series
- Evaluation Of Integrals By Means Of Series
- Solution Of Numerical Equations
- Approximate Integration Of Differential Equations
Functions of a Complex Variable11 secciónes
- The Cauchy—Riemann Equations
- Singular Points Of A Function. The Taylor And Maclaurin Series
- Residues And Their Applications
- Distribution Of The Zeros Of The Function
- Expansion Of Functions Into Partial Fractions
- Other Expansions In Series
- Generating Functions And Special Polynomials
- Conformal Mappings
- The Maximum Modulus Principle
- Differential Equations For A Complex Variable
- Applications To Problems Of Mathematical Physics
Mathematical Physics — Partial Differential Equations8 secciónes
- Is Introductory In Character To The Principal Methods: The Method Of Characteristics And The Fourier Method, To Which § 15.3 And § 15.5 Are Devoted.
- —Integral Equations—Relates Chiefly To The Theory Of Linear Equations Of Fredholm Type.
- Formation Of Second-Order Partial Differential Equations
- Reduction Of Linear Equations Of The Second Order To Canonical Form
- The Method Of Characteristics
- Riemann’S Method
- Fourier Method
- Integral Equations
Calculus of Variations8 secciónes
- Euler—Lagrange Equations
- Necessary And Sufficient Conditions For The Simplest Problem Of The Calculus Of Variations
- Parametric Form Of Integrals, Transversality
- The Hamilton—Jacobi Equation
- Integrals Depending On Higher-Order Derivatives Or On Several Functions
- Discontinuous Solutions. One-Sided Variation
- Multiple Integrals
- Isoperimetric Problems
Probability Theory5 secciónes
- Is Devoted To Problems On The Calculation Of Geometric Probabilities. In This Paragraph Attention Is Paid To The Construction Of Distribution Curves, And Examples Are Given Of The Calculation Of The Characteristic Function.
- Application Of The Basic Theorems. Bayes'S Formula
- Mathematical Expectations. The Method Of Finite Differences And Generating Functions
- Bernoulli'S Theorem. Chebyshev'S Inequalities
- Laplace'S And Lyapunov—Markov'S Theorems
Answers
Formatos y ediciones
| Formato | Precio | ISBN-13 | Dónde | Comprar |
|---|---|---|---|---|
| Tapa blanda | $54.95 | 978-1-919012-35-3 | Amazon | Comprar → |
| Tapa dura | $89.95 | 978-1-919012-36-0 | Amazon | Comprar → |
Los precios son los de lista del editor. Amazon fija el precio final en cada tienda.
Detalles del producto
- Editorial
- Northern Star Academic Press
- Idioma
- English
- Traductor
- Valery Manokhin, PhD
- Extensión
- 379 páginas
- Primera publicación
- 2026-08-25
Publicado por Northern Star Academic Press · Primera traducción fiel del original ruso
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