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  • 1
    Online Resource
    Online Resource
    (Almost) impossible integrals, sums, and series (2019)
    Cham : Springer
    Details
    UID:
    b3kat_BV045913855
    Format: 1 Online-Ressource (xxxviii, 539 Seiten) , Illustrationen
    ISBN: 9783030024628
    Series Statement: Problem books in mathematics
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-030-02461-1
    Language: English
    Subjects: Mathematics
    RVK:
    SK 490
    RVK:
    SK 470
    RVK:
    SK 640
    Keywords: Aufgabensammlung
    DOI: 10.1007/978-3-030-02462-8
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: lizenzpflichtig
    Author information: Nahin, Paul J. 1940-
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    UB Potsdam
    HTW Berlin
    BTU Cottbus
  • 2
    Online Resource
    Online Resource
    Inside interesting integrals : a collection of sneaky tricks, sly substitutions, and numerous other stupendously clever, awesomely wicked, and devilishly seductive maneuvers for computing hundreds of perplexing definite integrals from physics, engineering, and mathematics (plus numerous challenge problems with complete, detailed solutions) (2020)
    Cham : Springer
    Details
    UID:
    b3kat_BV046791941
    Format: 1 Online-Ressource (xlvii, 503 Seiten) , Illustrationen, Diagramme
    Edition: Second edition
    ISBN: 9783030437886
    Series Statement: Undergraduate lecture notes in physics
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-030-43787-9
    Language: English
    Subjects: Mathematics
    RVK:
    SK 950
    Keywords: Mathematische Physik ; Integration
    DOI: 10.1007/978-3-030-43788-6
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Nahin, Paul J. 1940-
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    HU Berlin
    TH Brandenburg
  • 3
    Online Resource
    Online Resource
    Transients for Electrical Engineers : Elementary Switched-Circuit Analysis in the Time and Laplace Transform Domains (with a touch of MATLAB) (2019)
    Cham : Springer International Publishing
    Details
    UID:
    b3kat_BV045240107
    Format: 1 Online-Ressource (XXVI, 189 p. 70 illus., 1 illus. in color)
    ISBN: 9783319775982
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-77597-5
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-77599-9
    Language: English
    Subjects: Engineering
    RVK:
    ZN 5310
    RVK:
    ZN 5400
    Keywords: Einschwingvorgang ; Ausschwingvorgang ; Laplace-Transformation
    DOI: 10.1007/978-3-319-77598-2
    URL: Volltext  (URL des Erstveröffentlichers)
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    HTW Berlin
    BTU Cottbus
  • 4
    Online Resource
    Online Resource
    Time Machine Tales : The Science Fiction Adventures and Philosophical Puzzles of Time Travel (2017)
    Cham : Springer
    Details
    UID:
    b3kat_BV043990557
    Format: 1 Online-Ressource (XLIX, 383 p. 53 illus., 3 illus. in color)
    ISBN: 9783319488646
    Series Statement: Science and Fiction
    Additional Edition: Erscheint auch als Druckausgabe ISBN 978-3-319-48862-2
    Language: English
    DOI: 10.1007/978-3-319-48864-6
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Nahin, Paul J. 1940-
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    FU Berlin
  • 5
    Online Resource
    Online Resource
    Chases and escapes : the mathematics of pursuit and evasion ; with a new preface by the author (2012)
    Princeton ; Oxford : Princeton Univ. Press
    Details
    UID:
    b3kat_BV042522988
    Format: 1 Online-Ressource (XXVIII, 253 S.) , graph. Darst.
    ISBN: 9781400842063
    Series Statement: Princeton Puzzlers
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-0-691-12514-5
    Additional Edition: ISBN 0-691-12514-7
    Language: English
    Keywords: Spieltheorie ; Differentialspiel
    DOI: 10.1515/9781400842063
    URL: Volltext
    URL: Volltext
    Author information: Nahin, Paul J. 1940-
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  • 6
    Online Resource
    Online Resource
    The Probability Integral : Its Origin, Its Importance, and Its Calculation (2023)
    Cham : Springer Nature Switzerland | Cham : Imprint: Springer
    Details
    UID:
    gbv_1859289347
    Format: 1 Online-Ressource(XXX, 189 p. 34 illus. in color.)
    Edition: 1st ed. 2023.
    ISBN: 9783031384165
    Content: 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 Comment on Mathematical Proofs.
    Content: 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 accessible to 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.
    Additional Edition: ISBN 9783031384158
    Additional Edition: ISBN 9783031384172
    Additional Edition: ISBN 9783031384189
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783031384158
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783031384172
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783031384189
    Language: English
    DOI: 10.1007/978-3-031-38416-5
    URL: lizenzpflichtig
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  • 7
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    Online Resource
    Hot molecules, cold electrons : from the mathematics of heat to the development of the trans-atlantic telegraph cable (2020)
    Princeton, NJ ; Oxford : Princeton University Press
    Details
    UID:
    b3kat_BV046669111
    Format: 1 Online-Ressource (xiii, 212 Seiten) , Illustrationen, Diagramme
    ISBN: 9780691199948
    Content: An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cableHeat, like gravity, shapes nearly every aspect of our world and universe, from how milk dissolves in coffee to how molten planets cool. The heat equation, a cornerstone of modern physics, demystifies such processes, painting a mathematical picture of the way heat diffuses through matter. Presenting the mathematics and history behind the heat equation, Hot Molecules, Cold Electrons tells the remarkable story of how a foundational idea brought about one of the greatest technological advancements of the modern era.Paul Nahin vividly recounts the heat equation's tremendous influence on society, showing how French mathematical physicist Joseph Fourier discovered, derived, and solved the equation in the early nineteenth century. Nahin then follows Scottish physicist William Thomson, whose further analysis of Fourier's explorations led to the groundbreaking trans-Atlantic telegraph cable. This feat of engineering reduced the time a message could be sent across the ocean from weeks to minutes. Readers also learn that Thomson used Fourier's solutions to calculate the age of the earth, and, in a bit of colorful lore, that writer Charles Dickens relied on the trans-Atlantic cable to save himself from a career-damaging scandal. The book's mathematical and scientific explorations can be easily understood by anyone with a basic knowledge of high school calculus and physics, and MATLAB code is included to aid readers who would like to solve the heat equation themselves.A testament to the intricate links between mathematics and physics, Hot Molecules, Cold Electrons offers a fascinating glimpse into a formative equation's relationship with one of the most important developments in human communication
    Note: In English
    Additional Edition: Erscheint auch als Druck-Ausgabe, Hardcover ISBN 978-0-691-19172-0
    Additional Edition: Erscheint auch als Druck-Ausgabe, Paperback ISBN 978-0-691-20784-1
    Language: English
    Subjects: Physics
    RVK:
    UB 2415
    Keywords: Wärmeleitungsgleichung ; Leitungsgleichungen ; Telegraf ; Telefonleitung ; Atlantischer Ozean ; Geschichte 1800-1900
    DOI: 10.1515/9780691199948
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Nahin, Paul J. 1940-
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  • 8
    Online Resource
    Online Resource
    Duelling idiots and other probability puzzlers (2012)
    Princeton, N.J : Princeton University Press
    Details
    UID:
    gbv_721882242
    Format: Online-Ressource (xxviii, 269 p) , ill
    Edition: Online-Ausg. Palo Alto, Calif ebrary 2011 Electronic reproduction; Available via World Wide Web
    ISBN: 9780691102863 , 1280494387 , 9780691155005 , 9781280494383
    Series Statement: Princeton puzzlers
    Content: What are your chances of dying on your next flight, being called for jury duty, or winning the lottery? We all encounter probability problems in our everyday lives. In this collection of twenty-one puzzles, Paul Nahin challenges us to think creatively about the laws of probability as they apply in playful, sometimes deceptive, ways to a fascinating array of speculative situations. Games of Russian roulette, problems involving the accumulation of insects on flypaper, and strategies for determining the odds of the underdog winning the World Series all reveal intriguing dimensions to the worki
    Note: First printing, 2000, third printing and first paperback printing with a new preface, 2002 ; paperback reissue for the Princeton puzzlers series, 2012 , Cover; Contents; Acknowledgments; Preface to the Paperback Edition; Preface; Introduction; The Problems; 1. How to Ask an Embarrassing Question; 2. When Idiots Duel; 3. Will the Light Bulb Glow?; 4. The Underdog and the World Series; 5. The Curious Case of the Snony Birthdays; 6. When Human Flesh Begins to Fail; 7. Baseball Again, and Mortal Flesh, Too; 8. Ball Madness; 9. Who Pays for the Coffee?; 10. The Chess Champ versus the Gunslinger; 11. A Different Slice of Probabilistic Pi; 12. When Negativity Is a No-No; 13. The Power of Randomness; 14. The Random Radio , 15. An Inconceivable Difficulty16. The Unsinkable Tub Is Sinking! How to Find Her, Fast; 17. A Walk in the Garden; 18. Two Flies Stuck on a Piece of Flypaper-How Far Apart?; 19. The Blind Spider and the Fly; 20. Reliably Unreliable; 21. When Theory Fails, There Is Always the Computer; The Solutions; Random Number Generators; ""Some Things Just Have to Be Done By Hand!""; MATLAB Programs; Index; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; R; S; T; U; V; W; Y , Electronic reproduction; Available via World Wide Web
    Additional Edition: ISBN 9781400843046
    Additional Edition: ISBN 1280493623
    Additional Edition: Print version Duelling Idiots and Other Probability Puzzlers
    Language: English
    URL: Volltext  (Connect to this resource online)
    URL: Inhaltstext
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    UB Potsdam
  • 9
    Online Resource
    Online Resource
    Dr. Euler's Fabulous Formula : Cures Many Mathematical Ills (New in Paper) (2011)
    Princeton : Princeton University Press
    Details
    UID:
    gbv_723211590
    Format: Online-Ressource (416 p.)
    ISBN: 9780691150376 , 1283058014 , 9781283058018
    Content: I used to think math was no fun 'Cause I couldn't see how it was done Now Euler's my hero For I now see why zero Equals e[pi] i+1 --Paul Nahin, electrical engineer In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. This book is
    Note: Description based upon print version of record , Cover; Contents; Preface to the Paperback Edition; What This Book Is About, What You Need to Know to Read It, and WHY You Should Read It; Preface: "When Did Math Become Sexy?"; Introduction; Chapter 1. Complex Numbers (an assortment of essays beyond the elementary involving complex numbers); Chapter 2.Vector Trips (some complex plane problems in which direction matters); Chapter 3. The Irrationality of p[sup(2)] ("higher" math at the sophomore level); Chapter 4. Fourier Series (named after Fourier but Euler was there first-but he was, alas, partially WRONG!) , Chapter 5. Fourier Integrals (what happens as the period of a periodic function becomes infinite, and other neat stuff)Chapter 6. Electronics and (omitted) (technological applications of complex numbers that Euler, who was a practical fellow himself, would have loved); Euler: The Man and the Mathematical Physicist; Notes; Acknowledgments; Index;
    Additional Edition: ISBN 9781400838479
    Additional Edition: ISBN 1283057662
    Additional Edition: ISBN 9780691118222
    Additional Edition: Print version Dr. Euler's Fabulous Formula Cures Many Mathematical Ills (New in Paper)
    Language: English
    Keywords: Electronic books
    URL: Inhaltstext
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    UB Potsdam
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