{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":2,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":40,"n_cols":5,"rows_kept":40,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[3,2,3,3],[4,2,4,3],[5,2,5,3],[6,2,6,3],[12,2,12,3],[12,4,12,5],[13,2,13,3],[13,4,13,5],[14,2,14,3],[14,4,14,5],[15,2,15,3],[16,2,16,3],[17,2,17,3],[18,2,18,3],[19,2,19,3],[21,2,21,3],[34,2,34,3],[35,2,35,3],[37,2,37,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNISA996386875403316"]
[null,null,"Titolo",null,"A true relation of the taking of Grafton House by the Parliaments forces, under the command of Sergeant Major Skipton [[electronic resource] ] : With the demands of Sir Iohn Digby upon a surrender. And the resolute answer of Sergeant Major Skipton, to the said demands. As it was sent in a letter from a commander in the service, to his friend in London. With the names of the chiefe commanders that were taken prisoners. The names of the chiefe commanders that were taken prisoners. Sir Iohn Digby. Captaine Iohn Clarke. Lieutenant Lonfield. Quarter master Doswell. Corporall Thorogood. Major Brookebancke. Captaine Longfield. Quater master Collenrigge. Corporall Haynes. And 80 troopers, all with swords, pistols, and carbines"]
[null,null,"Pubbl/distr/stampa",null,"[London], : Decemb. 29. Printed for Iohn Wright in the Old-Bailey, 1643"]
[null,null,"Descrizione fisica",null,"[2], 6 p"]
[null,null,"Soggetti",null,"Great Britain History Civil War, 1642-1649"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Signed: W.B."]
[{"$nulls":4},"\"The names of the chiefe commanders that were taken prisoners: Sir John Digby, Captaine John Clarke, Lieutenant Lonfield, Quarter master Doswell, Corporall Thorogood, Major Brookebancke, Captaine Longfield, Quarter master  Collenrigge, Corporall Haynes, and 80 troopers all with swords, pistols and carbines.\""]
[{"$nulls":4},"Reproduction of original in Thomason Collection, British Library."]
[null,null,null,"Sommario/riassunto","eebo-0018"]
[null,"2.","Record Nr.",null,"UNINA9910746094103321"]
[null,null,"Autore",null,"Nahin Paul J"]
[null,null,"Titolo",null,"The Probability Integral : Its Origin, Its Importance, and Its Calculation / / by Paul J. Nahin"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023"]
[null,null,"ISBN",null,"3-031-38416-4"]
[null,null,"Edizione",null,"[1st ed. 2023.]"]
[null,null,"Descrizione fisica",null,"1 online resource (205 pages)"]
[null,null,"Disciplina",null,"530.15"]
[{"$nulls":4},"519.2"]
[null,null,"Soggetti",null,"Mathematical physics"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Measure theory"]
[{"$nulls":4},"Probabilities"]
[{"$nulls":4},"Statistics"]
[{"$nulls":4},"History"]
[{"$nulls":4},"Mathematics"]
[{"$nulls":4},"Mathematical Methods in Physics"]
[{"$nulls":4},"Engineering Mathematics"]
[{"$nulls":4},"Measure and Integration"]
[{"$nulls":4},"Probability Theory"]
[{"$nulls":4},"History of Statistics"]
[{"$nulls":4},"History of Mathematical Sciences"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Chapter 1. De Moivre and the Discovery of the Probability Integral -- Chapter 2. Laplace’s First Derivation -- Chapter 3. How Euler Could Have Done It Before Laplace (but did he?) -- Chapter 4. Laplace’s Second Derivation -- Chapter 5. Generalizing the Probability Integral -- Chapter 6. Poisson’s Derivation -- Chapter 7. Rice’s Radar Integral -- Chapter 8. Liouville’s Theorem that Has No Finite Form -- Chapter 9. How the Error Function Appeared in the Electrical Response of the Trans-Atlantic Telegraph Cable -- Chapter 10. Doing the Probability Integral with Differentiation -- chapter 11. The Probability Integral as a Volume -- Chapter 12. How Cauchy Could Have Done It (but didn’t) -- Chapter 13. Fourier Has the Penultimate Technical Word -- Chapter 14. Finbarr Holland Has the Last Technical Word -- Chapter 15. A Final "]
[{"$nulls":4},"Comment on Mathematical Proofs."]
[null,null,null,"Sommario/riassunto","This book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering and probability theory. Stubbornly resistant to the undergraduate toolkit for handling integrals, calculating its value and investigating its properties occupied such mathematical luminaries as De Moivre, Laplace, Poisson, and Liouville. This book introduces the probability integral, puts it into a historical context, and describes the different approaches throughout history to evaluate and analyze it. The author also takes entertaining diversions into areas of math, science, and engineering where the probability integral arises: as well as being indispensable to probability theory and statistics, it also shows up naturally in thermodynamics and signal processing. Designed to be accessibleto anyone at the undergraduate level and above, this book will appeal to anyone interested in integration techniques, as well as historians of math, science, and statistics."]