Publication Information

{'id': 'https://openalex.org/W1563909160', 'doi': None, 'title': 'Calculus & Its Applications', 'display_name': 'Calculus & Its Applications', 'publication_year': 2009, 'publication_date': '2009-07-31', 'ids': {'openalex': 'https://openalex.org/W1563909160', 'mag': '1563909160'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://ci.nii.ac.jp/ncid/BA81758283', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book', 'type_crossref': 'book', 'indexed_in': [], '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/A5010219191', 'display_name': 'Larry Goldstein', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Larry Joel Goldstein', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5108795850', 'display_name': 'David C. Lay', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'David C. Lay', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5022133661', 'display_name': 'David Schneider', 'orcid': 'https://orcid.org/0000-0002-3272-2337'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'David I. Schneider', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5109215173', 'display_name': 'Nakhlé H. Asmar', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Nakhlé H. Asmar', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.445122, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 71, 'max': 74}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.6085, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.6085, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/T14500', 'display_name': 'Advanced Mathematical Theories', 'score': 0.5349, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/T12170', 'display_name': 'History and Theory of Mathematics', 'score': 0.5222, 'subfield': {'id': 'https://openalex.org/subfields/2614', 'display_name': 'Theoretical Computer Science'}, '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/logarithmic-derivative', 'display_name': 'Logarithmic derivative', 'score': 0.48475167}, {'id': 'https://openalex.org/keywords/chain-rule', 'display_name': 'Chain rule (probability)', 'score': 0.4839104}, {'id': 'https://openalex.org/keywords/derivative', 'display_name': 'Derivative (finance)', 'score': 0.42937985}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.674537}, {'id': 'https://openalex.org/C39927690', 'wikidata': 'https://www.wikidata.org/wiki/Q11197', 'display_name': 'Logarithm', 'level': 2, 'score': 0.65413606}, {'id': 'https://openalex.org/C151376022', 'wikidata': 'https://www.wikidata.org/wiki/Q168698', 'display_name': 'Exponential function', 'level': 2, 'score': 0.59065795}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.49358284}, {'id': 'https://openalex.org/C184537036', 'wikidata': 'https://www.wikidata.org/wiki/Q14163503', 'display_name': 'Generalizations of the derivative', 'level': 3, 'score': 0.484962}, {'id': 'https://openalex.org/C36649600', 'wikidata': 'https://www.wikidata.org/wiki/Q762521', 'display_name': 'Logarithmic derivative', 'level': 2, 'score': 0.48475167}, {'id': 'https://openalex.org/C33825631', 'wikidata': 'https://www.wikidata.org/wiki/Q17004731', 'display_name': 'Chain rule (probability)', 'level': 5, 'score': 0.4839104}, {'id': 'https://openalex.org/C202615002', 'wikidata': 'https://www.wikidata.org/wiki/Q783507', 'display_name': 'Differentiable function', 'level': 2, 'score': 0.47285557}, {'id': 'https://openalex.org/C111771559', 'wikidata': 'https://www.wikidata.org/wiki/Q66295', 'display_name': 'Derivative (finance)', 'level': 2, 'score': 0.42937985}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.38230494}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.37851787}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.34057194}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.3085409}, {'id': 'https://openalex.org/C33257320', 'wikidata': 'https://www.wikidata.org/wiki/Q1932744', 'display_name': 'Second derivative', 'level': 2, 'score': 0.28321186}, {'id': 'https://openalex.org/C122123141', 'wikidata': 'https://www.wikidata.org/wiki/Q176623', 'display_name': 'Random variable', 'level': 2, 'score': 0.088869125}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C197096303', 'wikidata': 'https://www.wikidata.org/wiki/Q869887', 'display_name': 'Probability mass function', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C106159729', 'wikidata': 'https://www.wikidata.org/wiki/Q2294553', 'display_name': 'Financial economics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C103982235', 'wikidata': 'https://www.wikidata.org/wiki/Q7309594', 'display_name': 'Regular conditional probability', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://ci.nii.ac.jp/ncid/BA81758283', 'pdf_url': None, 'source': None, '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/W961245288', 'https://openalex.org/W651098770', 'https://openalex.org/W632687724', 'https://openalex.org/W566173980', 'https://openalex.org/W3201717007', 'https://openalex.org/W3100018246', 'https://openalex.org/W2952234263', 'https://openalex.org/W2366165100', 'https://openalex.org/W2182762083', 'https://openalex.org/W210506913', 'https://openalex.org/W2093134534', 'https://openalex.org/W2077268148', 'https://openalex.org/W2072909173', 'https://openalex.org/W2050706448', 'https://openalex.org/W2041811079', 'https://openalex.org/W2037419927', 'https://openalex.org/W200967826', 'https://openalex.org/W1980307955', 'https://openalex.org/W1601388632', 'https://openalex.org/W1568353892'], 'abstract_inverted_index': {'Contents': [0], 'Preface': [1], 'Introduction': [2], '0': [3], 'Functions': [4, 6, 13, 18, 31, 33, 95, 159, 162, 172, 199, 251, 258, 270, 292, 320], '0.1': [5], 'and': [7, 25, 29, 34, 62, 67, 99, 106, 110, 130, 139, 146, 154, 196, 203, 229, 235, 267, 277, 301, 306, 311, 317, 396, 419, 432, 436, 442, 449, 456, 465, 472], 'Their': [8], 'Graphs': [9, 35, 93], '0.2': [10], 'Some': [11, 70, 344], 'Important': [12], '0.3': [14], 'The': [15, 39, 42, 49, 58, 79, 97, 104, 137, 143, 164, 174, 179, 222, 281, 290, 299, 315, 403], 'Algebra': [16], 'of': [17, 21, 44, 51, 84, 88, 94, 126, 134, 170, 181, 186, 193, 210, 246, 252, 257, 259, 269, 271, 283, 296, 308, 323, 335, 340, 346, 357, 362, 371, 379, 384, 390], '0.4': [19], 'Zeros': [20], 'Functions--The': [22], 'Quadratic': [23], 'Formula': [24], 'Factoring': [26], '0.5': [27], 'Exponents': [28], 'Power': [30, 149], '0.6': [32], 'in': [36, 241], 'Applications': [37, 87, 125, 192, 209, 245, 345, 370, 383], '1': [38], 'Derivative': [40, 59, 64, 80, 90, 101, 108, 180], '1.1': [41], 'Slope': [43, 50], 'a': [45, 52, 55, 82], 'Straight': [46], 'Line': [47], '1.2': [48], 'Curve': [53, 111, 114, 483], 'at': [54], 'Point': [56], '1.3': [57], '1.4': [60], 'Limits': [61], 'the': [63, 89, 147, 187, 194, 211, 236, 242, 247, 302, 347, 450, 457, 466, 473, 480], '1.5': [65], 'Differentiability': [66], 'Continuity': [68], '1.6': [69], 'Rules': [71, 102, 141], 'for': [72], 'Differentiation': [73, 135, 153, 169, 305], '1.7': [74], 'More': [75], 'About': [76], 'Derivatives': [77, 127, 264], '1.8': [78], 'as': [81], 'Rate': [83], 'Change': [85], '2': [86], '2.1': [91], 'Describing': [92], '2.2': [96], 'First': [98, 105], 'Second': [100, 107], '2.3': [103], 'Tests': [109], 'Sketching': [112, 115], '2.4': [113], '(Conclusion)': [116], '2.5': [117], 'Optimization': [118, 122, 279], 'Problems': [119, 123], '2.6': [120], 'Further': [121, 218], '2.7': [124], 'to': [128, 215, 485], 'Business': [129], 'Economics': [131, 216], '3': [132], 'Techniques': [133, 322], '3.1': [136], 'Product': [138], 'Quotient': [140], '3.2': [142], 'Chain': [144], 'Rule': [145, 150], 'General': [148], '3.3': [151], 'Implicit': [152], 'Related': [155], 'Rates': [156], '4': [157], 'Logarithm': [158, 176, 189, 198, 213], '4.1': [160], 'Exponential': [161, 165, 171, 195, 201, 219, 435], '4.2': [163], 'Function': [166, 177, 190, 214], 'ex': [167], '4.3': [168], '4.4': [173], 'Natural': [175, 188, 197, 212], '4.5': [178], 'ln': [182], 'x': [183], '4.6': [184], 'Properties': [185], '5': [191], '5.1': [200], 'Growth': [202], 'Decay': [204], '5.2': [205], 'Compound': [206], 'Interest': [207], '5.3': [208], '5.4': [217], 'Models': [220], '6': [221], 'Definite': [223, 233, 248, 336, 341], 'Integral': [224, 249, 348], '6.1': [225], 'Antidifferentiation': [226], '6.2': [227], 'Areas': [228, 240, 478], 'Riemann': [230], 'Sums': [231], '6.3': [232], 'Integrals': [234, 288, 337, 342, 351], 'Fundamental': [237], 'Theorem': [238], '6.4': [239], 'xy-Plane': [243], '6.5': [244], '7': [250], 'Several': [253, 260, 272], 'Variables': [254, 261, 273, 363, 424, 428, 439, 445], '7.1': [255], 'Examples': [256], '7.2': [262], 'Partial': [263], '7.3': [265], 'Maxima': [266], 'Minima': [268], '7.4': [274], 'Lagrange': [275], 'Multipliers': [276], 'Constrained': [278], '7.5': [280], 'Method': [282], 'Least': [284], 'Squares': [285], '7.6': [286], 'Double': [287], '8': [289], 'Trigonometric': [291, 319], '8.1': [293], 'Radian': [294], 'Measure': [295], 'Angles': [297], '8.2': [298], 'Sine': [300], 'Cosine': [303], '8.3': [304], 'Integration': [307, 324, 326, 330], 'sin': [309], 't': [310, 313], 'cos': [312], '8.4': [314], 'Tangent': [316], 'Other': [318], '9': [321], '9.1': [325], 'by': [327, 331], 'Substitution': [328], '9.2': [329], 'Parts': [332], '9.3': [333], 'Evaluation': [334], '9.4': [338], 'Approximation': [339], '9.5': [343], '9.6': [349], 'Improper': [350], '10': [352], 'Differential': [353, 358, 367, 374, 380, 385, 391], 'Equations': [354, 359, 368, 375, 381, 386, 392], '10.1': [355], 'Solutions': [356, 378], '10.2': [360], 'Separation': [361], '10.3': [364], 'First-Order': [365, 372], 'Linear': [366, 373], '10.4': [369], '10.5': [376], 'Graphing': [377], '10.6': [382], '10.7': [387], 'Numerical': [388], 'Solution': [389], '11': [393], 'Taylor': [394, 400, 415], 'Polynomials': [395, 401], 'Infinite': [397, 407], 'Series': [398, 408, 410, 416], '11.1': [399], '11.2': [402], 'Newton-Raphson': [404], 'Algorithm': [405], '11.3': [406], '11.4': [409], 'with': [411], 'Positive': [412], 'Terms': [413], '11.5': [414], '12': [417], 'Probability': [418], 'Calculus': [420, 448, 455, 464, 471], '12.1': [421], 'Discrete': [422], 'Random': [423, 427, 438, 444], '12.2': [425], 'Continuous': [426], '12.3': [429], 'Expected': [430], 'Value': [431], 'Variance': [433], '12.4': [434], 'Normal': [437, 482], '12.5': [440], 'Poisson': [441], 'Geometric': [443], 'Appendix': [446, 453, 462, 469, 476], 'A': [447], 'TI-82': [451], 'Calculator': [452, 468, 475], 'B': [454], 'TI-83/TI-83': [458], 'Plus/TI-84': [459], 'Plus': [460], 'Calculators': [461], 'C': [463], 'TI-85': [467], 'D': [470], 'TI-86': [474], 'E': [477], 'under': [479], 'Standard': [481], 'Answers': [484], 'Exercises': [486], 'Index': [487], 'I1': [488]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1563909160', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 1}], 'updated_date': '2024-12-17T11:37:38.491585', 'created_date': '2016-06-24'}