Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W116298310', 'doi': 'https://doi.org/10.1007/978-3-642-58893-8_2', 'title': 'Elements of Differential Calculus for Tensor Fields', 'display_name': 'Elements of Differential Calculus for Tensor Fields', 'publication_year': 1998, 'publication_date': '1998-01-01', 'ids': {'openalex': 'https://openalex.org/W116298310', 'doi': 'https://doi.org/10.1007/978-3-642-58893-8_2', 'mag': '116298310'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-642-58893-8_2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5063032299', 'display_name': 'Maciej Błaszak', 'orcid': 'https://orcid.org/0000-0002-3951-2850'}, 'institutions': [{'id': 'https://openalex.org/I59411706', 'display_name': 'Adam Mickiewicz University in Poznań', 'ror': 'https://ror.org/04g6bbq64', 'country_code': 'PL', 'type': 'education', 'lineage': ['https://openalex.org/I59411706']}], 'countries': ['PL'], 'is_corresponding': True, 'raw_author_name': 'Maciej Blaszak', 'raw_affiliation_strings': ['A. Mickiewicz University'], 'affiliations': [{'raw_affiliation_string': 'A. Mickiewicz University', 'institution_ids': ['https://openalex.org/I59411706']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5063032299'], 'corresponding_institution_ids': ['https://openalex.org/I59411706'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.464, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.405542, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 55, 'max': 63}, 'biblio': {'volume': None, 'issue': None, 'first_page': '13', 'last_page': '39'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.8712, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.8712, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11416', 'display_name': 'Numerical methods for differential equations', 'score': 0.8581, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12037', 'display_name': 'Algebraic and Geometric Analysis', 'score': 0.8115, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/tensor-calculus', 'display_name': 'Tensor calculus', 'score': 0.74241424}, {'id': 'https://openalex.org/keywords/differential-calculus', 'display_name': 'Differential calculus', 'score': 0.67133844}, {'id': 'https://openalex.org/keywords/differential-form', 'display_name': 'Differential form', 'score': 0.43136194}], 'concepts': [{'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.80574167}, {'id': 'https://openalex.org/C90952326', 'wikidata': 'https://www.wikidata.org/wiki/Q3650511', 'display_name': 'Tensor calculus', 'level': 4, 'score': 0.74241424}, {'id': 'https://openalex.org/C56802139', 'wikidata': 'https://www.wikidata.org/wiki/Q149999', 'display_name': 'Differential calculus', 'level': 2, 'score': 0.67133844}, {'id': 'https://openalex.org/C93226319', 'wikidata': 'https://www.wikidata.org/wiki/Q193137', 'display_name': 'Differential (mechanical device)', 'level': 2, 'score': 0.59831405}, {'id': 'https://openalex.org/C2777855551', 'wikidata': 'https://www.wikidata.org/wiki/Q12310021', 'display_name': 'Subject (documents)', 'level': 2, 'score': 0.4886325}, {'id': 'https://openalex.org/C155281189', 'wikidata': 'https://www.wikidata.org/wiki/Q3518150', 'display_name': 'Tensor (intrinsic definition)', 'level': 2, 'score': 0.48279846}, {'id': 'https://openalex.org/C115071613', 'wikidata': 'https://www.wikidata.org/wiki/Q1047080', 'display_name': 'Differential form', 'level': 2, 'score': 0.43136194}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.40885565}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.36391065}, {'id': 'https://openalex.org/C166077713', 'wikidata': 'https://www.wikidata.org/wiki/Q1758924', 'display_name': 'Tensor field', 'level': 3, 'score': 0.3601824}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.3336934}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.26747525}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.15972218}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.14970598}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.122797966}, {'id': 'https://openalex.org/C161191863', 'wikidata': 'https://www.wikidata.org/wiki/Q199655', 'display_name': 'Library science', 'level': 1, 'score': 0.064549655}, {'id': 'https://openalex.org/C29694066', 'wikidata': 'https://www.wikidata.org/wiki/Q118301', 'display_name': 'Orthodontics', 'level': 1, 'score': 0.047953963}, {'id': 'https://openalex.org/C520416788', 'wikidata': 'https://www.wikidata.org/wiki/Q5419229', 'display_name': 'Exact solutions in general relativity', 'level': 2, 'score': 0.045876205}, {'id': 'https://openalex.org/C146978453', 'wikidata': 'https://www.wikidata.org/wiki/Q3798668', 'display_name': 'Aerospace engineering', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-642-58893-8_2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4388578579', 'https://openalex.org/W4235074964', 'https://openalex.org/W3003118227', 'https://openalex.org/W2492493396', 'https://openalex.org/W2254082118', 'https://openalex.org/W2158810451', 'https://openalex.org/W2060415987', 'https://openalex.org/W2054485746', 'https://openalex.org/W180482619', 'https://openalex.org/W1603796495'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W116298310', 'counts_by_year': [], 'updated_date': '2024-12-17T03:22:25.687762', 'created_date': '2016-06-24'}