The Theory of Potential and Spherical Harmonics / / Wolfgang J. Sternberg, Turner L. Smith.
The book is designed chiefly for the use of students and teachers. The research worker will perhaps find some helpful suggestions, as well. The student reading this book is presumed to have a thorough knowledge of differential and integral calculus. In some sections also an acquaintance with the mos...
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Place / Publishing House: | Toronto : : University of Toronto Press, , [2019] ©1944 |
Year of Publication: | 2019 |
Language: | English |
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Physical Description: | 1 online resource (324 p.) |
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Sternberg, Wolfgang J., author. aut http://id.loc.gov/vocabulary/relators/aut The Theory of Potential and Spherical Harmonics / Wolfgang J. Sternberg, Turner L. Smith. Toronto : University of Toronto Press, [2019] ©1944 1 online resource (324 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Heritage Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- I. THE NEWTONIAN LAW OF GRAVITY -- II. CONCEPT OF POTENTIAL -- III. THE INTEGRAL THEOREMS OF POTENTIAL . THEORY -- IV. ANALYTIC CHARACTER OF THE POTENTI..L. SPHERICAL HARMONICS -- V. BEHAVIOUR OF THE POTENTIAL AT POINTS OF THE MASS -- VI. RELATION OF POTENTIAL TO THEORY OF FUNCTIONS -- VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY -- VIII. THE POISSON INTEGRAL IN THE PLANE -- IX. THE' POISSON INTEGRAL IN SPACE -- X. THE FREDHOLM THEORY OF INTEGRAL EQUATIONS -- XI. GENERAL SOLUTION OF THE BOUNDARY VALUE PROBLEMS -- INDEX restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The book is designed chiefly for the use of students and teachers. The research worker will perhaps find some helpful suggestions, as well. The student reading this book is presumed to have a thorough knowledge of differential and integral calculus. In some sections also an acquaintance with the most elementary theorems of the theory of analytic functions and of the theory of linear differential equations is desirable. The text offers a short introduction to vector analysis and a presentation of the Fredholm theory of integral equations. The theory of spherical harmonics is also briefly explained. Consistent use of vector analysis is a characteristic feature of the book. The authors hope that the present text fills a gap, by leading the student reader from the elements of potential theory to the solutions of boundary value problems in a simple and easily understandable way. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Potential theory (Mathematics). Spherical harmonics. SCIENCE / Physics / General. bisacsh Smith, Turner L., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 9783110490947 https://doi.org/10.3138/9781487574178 https://www.degruyter.com/isbn/9781487574178 Cover https://www.degruyter.com/cover/covers/9781487574178.jpg |
language |
English |
format |
eBook |
author |
Sternberg, Wolfgang J., Sternberg, Wolfgang J., Smith, Turner L., |
spellingShingle |
Sternberg, Wolfgang J., Sternberg, Wolfgang J., Smith, Turner L., The Theory of Potential and Spherical Harmonics / Heritage Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- I. THE NEWTONIAN LAW OF GRAVITY -- II. CONCEPT OF POTENTIAL -- III. THE INTEGRAL THEOREMS OF POTENTIAL . THEORY -- IV. ANALYTIC CHARACTER OF THE POTENTI..L. SPHERICAL HARMONICS -- V. BEHAVIOUR OF THE POTENTIAL AT POINTS OF THE MASS -- VI. RELATION OF POTENTIAL TO THEORY OF FUNCTIONS -- VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY -- VIII. THE POISSON INTEGRAL IN THE PLANE -- IX. THE' POISSON INTEGRAL IN SPACE -- X. THE FREDHOLM THEORY OF INTEGRAL EQUATIONS -- XI. GENERAL SOLUTION OF THE BOUNDARY VALUE PROBLEMS -- INDEX |
author_facet |
Sternberg, Wolfgang J., Sternberg, Wolfgang J., Smith, Turner L., Smith, Turner L., Smith, Turner L., |
author_variant |
w j s wj wjs w j s wj wjs t l s tl tls |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Smith, Turner L., Smith, Turner L., |
author2_variant |
t l s tl tls |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Sternberg, Wolfgang J., |
title |
The Theory of Potential and Spherical Harmonics / |
title_full |
The Theory of Potential and Spherical Harmonics / Wolfgang J. Sternberg, Turner L. Smith. |
title_fullStr |
The Theory of Potential and Spherical Harmonics / Wolfgang J. Sternberg, Turner L. Smith. |
title_full_unstemmed |
The Theory of Potential and Spherical Harmonics / Wolfgang J. Sternberg, Turner L. Smith. |
title_auth |
The Theory of Potential and Spherical Harmonics / |
title_alt |
Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- I. THE NEWTONIAN LAW OF GRAVITY -- II. CONCEPT OF POTENTIAL -- III. THE INTEGRAL THEOREMS OF POTENTIAL . THEORY -- IV. ANALYTIC CHARACTER OF THE POTENTI..L. SPHERICAL HARMONICS -- V. BEHAVIOUR OF THE POTENTIAL AT POINTS OF THE MASS -- VI. RELATION OF POTENTIAL TO THEORY OF FUNCTIONS -- VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY -- VIII. THE POISSON INTEGRAL IN THE PLANE -- IX. THE' POISSON INTEGRAL IN SPACE -- X. THE FREDHOLM THEORY OF INTEGRAL EQUATIONS -- XI. GENERAL SOLUTION OF THE BOUNDARY VALUE PROBLEMS -- INDEX |
title_new |
The Theory of Potential and Spherical Harmonics / |
title_sort |
the theory of potential and spherical harmonics / |
series |
Heritage |
series2 |
Heritage |
publisher |
University of Toronto Press, |
publishDate |
2019 |
physical |
1 online resource (324 p.) |
contents |
Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- I. THE NEWTONIAN LAW OF GRAVITY -- II. CONCEPT OF POTENTIAL -- III. THE INTEGRAL THEOREMS OF POTENTIAL . THEORY -- IV. ANALYTIC CHARACTER OF THE POTENTI..L. SPHERICAL HARMONICS -- V. BEHAVIOUR OF THE POTENTIAL AT POINTS OF THE MASS -- VI. RELATION OF POTENTIAL TO THEORY OF FUNCTIONS -- VII. THE BOUNDARY VALUE PROBLEMS OF POTENTIAL THEORY -- VIII. THE POISSON INTEGRAL IN THE PLANE -- IX. THE' POISSON INTEGRAL IN SPACE -- X. THE FREDHOLM THEORY OF INTEGRAL EQUATIONS -- XI. GENERAL SOLUTION OF THE BOUNDARY VALUE PROBLEMS -- INDEX |
isbn |
9781487574178 9783110490947 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA825 |
callnumber-sort |
QA 3825 S83 EB |
url |
https://doi.org/10.3138/9781487574178 https://www.degruyter.com/isbn/9781487574178 https://www.degruyter.com/cover/covers/9781487574178.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
531 - Classical mechanics; solid mechanics |
dewey-full |
531.51 |
dewey-sort |
3531.51 |
dewey-raw |
531.51 |
dewey-search |
531.51 |
doi_str_mv |
10.3138/9781487574178 |
oclc_num |
1129215492 |
work_keys_str_mv |
AT sternbergwolfgangj thetheoryofpotentialandsphericalharmonics AT smithturnerl thetheoryofpotentialandsphericalharmonics AT sternbergwolfgangj theoryofpotentialandsphericalharmonics AT smithturnerl theoryofpotentialandsphericalharmonics |
status_str |
n |
ids_txt_mv |
(DE-B1597)536771 (OCoLC)1129215492 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 |
is_hierarchy_title |
The Theory of Potential and Spherical Harmonics / |
container_title |
Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 |
author2_original_writing_str_mv |
noLinkedField noLinkedField |
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1806143860711096320 |
fullrecord |
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