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Lectures on Cauchy's Problem in Linear Partial Differential Equations Book

Lectures on Cauchy's Problem in Linear Partial Differential Equations
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Lectures on Cauchy's Problem in Linear Partial Differential Equations, Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavour, Lectures on Cauchy's Problem in Linear Partial Differential Equations
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  • Lectures on Cauchy's Problem in Linear Partial Differential Equations
  • Written by author Jacques Hadamard
  • Published by Hard Press Editions, 1/10/2012
  • Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavour
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Preface iii
Book I. General Properties of Cauchy's Problem
I. Cauchy's Fundamental Theorem. Characteristics 3
II. Discussion of Cauchy's Result 23
Book II. The Fundamental Formula and the Elementary Solution
I. Classic Cases and Results 47
II. The Fundamental Formula 58
III. The Elementary Solution 70
1. General Remarks 70
2. Solutions with an Algebroid Singularity 73
3. The Case of the Characteristic Conoid 83
Additional Note on the Equations of Geodesics 111
Book III. The Equations with an Odd Number of Independent Variables
I. Introduction of a New Kind of Improper Integral 117
1. Discussion of Preceding Results 117
2. The Finite Part of an Infinite Simple Integral 133
3. The Case of Multiple Integrals 141
4. Some Important Examples 150
II. The Integration for an Odd Number of Independent Variables 159
III. Synthesis of the Solution Obtained 181
IV. Applications to Familiar Equations 207
Book IV. The Equations with an Even Number of Independent Variables and the Method of Descent
I. Integration of the Equation in 2m[subscript 1] Variables 215
1. General Formulae 215
2. Familiar Examples 236
3. Application to a Discussion of Cauchy's Problem 247
II. Other Applications of the Principle of Descent 262
1. Descent from m Even to m Odd 262
2. Properties of the Coefficients in the Elementary Solution 266
3. Treatment of Non-Analytic Equations 277
Index 313


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Lectures on Cauchy's Problem in Linear Partial Differential Equations, Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavour, Lectures on Cauchy's Problem in Linear Partial Differential Equations

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Lectures on Cauchy's Problem in Linear Partial Differential Equations, Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavour, Lectures on Cauchy's Problem in Linear Partial Differential Equations

Lectures on Cauchy's Problem in Linear Partial Differential Equations

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Lectures on Cauchy's Problem in Linear Partial Differential Equations, Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavour, Lectures on Cauchy's Problem in Linear Partial Differential Equations

Lectures on Cauchy's Problem in Linear Partial Differential Equations

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