More (almost) impossible integrals, sums, and series: a new collection of fiendish problems and surprising solutions
This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks. As in the author’s previous book, these fascinating mathematical problems are shown in...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2023]
|
| Ausgabe: | 2023 |
| Schriftenreihe: | Problem books in mathematics
|
| Schlagworte: | |
| Zusammenfassung: | This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks. As in the author’s previous book, these fascinating mathematical problems are shown in new and engaging ways, and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Classical problems are shown in a fresh light, with new, surprising or unconventional ways of obtaining the desired results devised by the author. This book is accessible to readers with a good knowledge of calculus, from undergraduate students to researchers. It will appeal to all mathematical puzzlers wholove a good integral or series and aren’t afraid of a challenge |
| Beschreibung: | Chapter 1. Integrals.- Chapter 2. Hints.- Chapter 3. Solutions.- Chapter 4. Sums and Series.- Chapter 5. Hints.- Chapter 6. Solutions. |
| Beschreibung: | xxxiv, 816 Seiten 235 mm |
| ISBN: | 9783031212642 |
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Datensatz im Suchindex
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| isbn | 9783031212642 |
| language | English |
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| spelling | Vălean, Cornel Ioan Verfasser (DE-588)1287699480 aut More (almost) impossible integrals, sums, and series a new collection of fiendish problems and surprising solutions Cornel Ioan Vălean Cham Springer [2023] xxxiv, 816 Seiten 235 mm txt rdacontent n rdamedia nc rdacarrier Problem books in mathematics Chapter 1. Integrals.- Chapter 2. Hints.- Chapter 3. Solutions.- Chapter 4. Sums and Series.- Chapter 5. Hints.- Chapter 6. Solutions. This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks. As in the author’s previous book, these fascinating mathematical problems are shown in new and engaging ways, and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Classical problems are shown in a fresh light, with new, surprising or unconventional ways of obtaining the desired results devised by the author. This book is accessible to readers with a good knowledge of calculus, from undergraduate students to researchers. It will appeal to all mathematical puzzlers wholove a good integral or series and aren’t afraid of a challenge bicssc bisacsh Special functions Number theory Functions of real variables Mathematical physics Engineering mathematics Sequences (Mathematics) Folge Mathematik (DE-588)4017790-7 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Reihe (DE-588)4049197-3 gnd rswk-swf Integral (DE-588)4131477-3 gnd rswk-swf Hardcover, Softcover / Mathematik/Analysis Integral (DE-588)4131477-3 s Reihe (DE-588)4049197-3 s Folge Mathematik (DE-588)4017790-7 s Berechnung (DE-588)4120997-7 s DE-604 Erscheint auch als Online-Ausgabe 978-3-031-21262-8 |
| spellingShingle | Vălean, Cornel Ioan More (almost) impossible integrals, sums, and series a new collection of fiendish problems and surprising solutions bicssc bisacsh Special functions Number theory Functions of real variables Mathematical physics Engineering mathematics Sequences (Mathematics) Folge Mathematik (DE-588)4017790-7 gnd Berechnung (DE-588)4120997-7 gnd Reihe (DE-588)4049197-3 gnd Integral (DE-588)4131477-3 gnd |
| subject_GND | (DE-588)4017790-7 (DE-588)4120997-7 (DE-588)4049197-3 (DE-588)4131477-3 |
| title | More (almost) impossible integrals, sums, and series a new collection of fiendish problems and surprising solutions |
| title_auth | More (almost) impossible integrals, sums, and series a new collection of fiendish problems and surprising solutions |
| title_exact_search | More (almost) impossible integrals, sums, and series a new collection of fiendish problems and surprising solutions |
| title_full | More (almost) impossible integrals, sums, and series a new collection of fiendish problems and surprising solutions Cornel Ioan Vălean |
| title_fullStr | More (almost) impossible integrals, sums, and series a new collection of fiendish problems and surprising solutions Cornel Ioan Vălean |
| title_full_unstemmed | More (almost) impossible integrals, sums, and series a new collection of fiendish problems and surprising solutions Cornel Ioan Vălean |
| title_short | More (almost) impossible integrals, sums, and series |
| title_sort | more almost impossible integrals sums and series a new collection of fiendish problems and surprising solutions |
| title_sub | a new collection of fiendish problems and surprising solutions |
| topic | bicssc bisacsh Special functions Number theory Functions of real variables Mathematical physics Engineering mathematics Sequences (Mathematics) Folge Mathematik (DE-588)4017790-7 gnd Berechnung (DE-588)4120997-7 gnd Reihe (DE-588)4049197-3 gnd Integral (DE-588)4131477-3 gnd |
| topic_facet | bicssc bisacsh Special functions Number theory Functions of real variables Mathematical physics Engineering mathematics Sequences (Mathematics) Folge Mathematik Berechnung Reihe Integral |
| work_keys_str_mv | AT valeancornelioan morealmostimpossibleintegralssumsandseriesanewcollectionoffiendishproblemsandsurprisingsolutions |