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Gunter e Kuzmin: Coleção de Problemas de Matemática Superior, Parte II

Name: Gunter e Kuzmin: Coleção de Problemas de Matemática Superior, Parte II
Brand: Northern Star Academic Press
SKU: gunter-kuzmin-part-ii
Price: 54.95 USD
Availability: InStock
Author: N. M. Gunter & R. O. Kuzmin
ISBN: 978-1-919012-35-3

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.

· 379 páginas

Onde se encaixa na escola — EUA, Reino Unido e Canadá ↓ Adultos e autodidatas são bem-vindos — a grande matemática não tem limite de idade.

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Estados Unidos	University 2–4	ODEs, PDEs, Complex Analysis, Numerical Analysis, Probability
Reino Unido	Undergraduate 2–3	undergraduate
Canadá	University 2–4

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Gunter e Kuzmin, Parte I$64.95

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Gunter e Kuzmin$99.95
As Partes I e II reunidas num único volume de 814 páginas.

Há forte sobreposição. Cada nota diz o que aquele livro traz e este não — são essas diferenças que decidem.

O que vem depois

Markov: Probabilidades$59.95

Sumário

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

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