Gunter e Kuzmin: Coleção de Problemas de Matemática Superior, Parte II
por N. M. Gunter & R. O. Kuzmin
Traduzido por Valery Manokhin, PhD
A segunda metade completa a coleção: integrais múltiplas, curvilíneas e de superfície, teoria de campos e potencial, equações diferenciais ordinárias e parciais, integrais impróprias e funções especiais, séries e séries de Fourier, cálculo aproximado, funções de variável complexa, física matemática, cálculo das variações e probabilidade. 379 páginas.
🇺🇸 University level (multiple integrals, differential equations, series, complex variables, probability)
🇬🇧 University level
🇨🇦 University level
Adultos e autodidatas são bem-vindos — a grande matemática não tem limite de idade.
Sumário
10 capítulos, 71 seções — o sumário completo do livro impresso.
Translator's Preface
Ordinary and Partial Differential Equations19 seções
- 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 seções
- 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 seções
- 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 seções
- 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 seções
- 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 seções
- 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 seções
- 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 seções
- 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 e edições
| Formato | Preço | ISBN-13 | Onde | Comprar |
|---|---|---|---|---|
| Brochura | $54.95 | 978-1-919012-35-3 | Amazon | Comprar → |
| Capa dura | $89.95 | 978-1-919012-36-0 | Amazon | Comprar → |
Os preços são os de tabela da editora. A Amazon define o preço final em cada loja.
Detalhes do produto
- Editora
- Northern Star Academic Press
- Idioma
- English
- Tradutor
- Valery Manokhin, PhD
- Extensão
- 379 páginas
- Primeira publicação
- 2026-08-25
Publicado por Northern Star Academic Press · Primeira tradução fiel da edição original russa
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