東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁 到查詢結果 [ subject:"Real Functions." ]

切換: 標籤 | MARC模式 | ISBD

A compact capstone course in classic...

Mercer, Peter R.

FindBook

Google Book

Amazon

博客來

A compact capstone course in classical calculus

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A compact capstone course in classical calculus/ by Peter R. Mercer.
作者:	Mercer, Peter R.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xi, 157 p. :illustrations, digital ;24 cm.
內容註:	Chapter 1. Prelude: Vi'ete's Product -- Chapter. 2. Calculus Warm-up -- Chapter. 3. The Probability Integral & Gamma Function -- Chapter. 4. Wallis's Product -- Chapter. 5. Interlude: How Big is a Ball ? -- Chapter. 6. Convexity - Tangents -- Chapter. 7. Some Important Series -- Chapter. 8. Geometric Probability -- Chapter. 9. Convexity - Chords -- Chapter. 10. Interlude: Minkowski Distance -- Chapter. 11. The Basel Problem -- Chapter. 12. Interlude: Beyond Basel -- Chapter. 13. Stirling's Formula -- Chapter. 14. Euler's Sine Product -- Chapter. 15. Postlude: Stirling's Formula Again -- Index.
Contained By:	Springer Nature eBook
標題:	Calculus. -
電子資源:	https://doi.org/10.1007/978-3-031-43914-8
ISBN:	9783031439148

A compact capstone course in classical calculus
Mercer, Peter R.

A compact capstone course in classical calculus[electronic resource] /by Peter R. Mercer. - Cham :Springer Nature Switzerland :2023. - xi, 157 p. :illustrations, digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..

Chapter 1. Prelude: Vi'ete's Product -- Chapter. 2. Calculus Warm-up -- Chapter. 3. The Probability Integral & Gamma Function -- Chapter. 4. Wallis's Product -- Chapter. 5. Interlude: How Big is a Ball ? -- Chapter. 6. Convexity - Tangents -- Chapter. 7. Some Important Series -- Chapter. 8. Geometric Probability -- Chapter. 9. Convexity - Chords -- Chapter. 10. Interlude: Minkowski Distance -- Chapter. 11. The Basel Problem -- Chapter. 12. Interlude: Beyond Basel -- Chapter. 13. Stirling's Formula -- Chapter. 14. Euler's Sine Product -- Chapter. 15. Postlude: Stirling's Formula Again -- Index.

This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The author's enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisites. Readers will gain a broad knowledge of the area, with approaches based on those found in recent literature, as well as historical remarks that deepen the exposition. Specific topics covered include the binomial theorem, the harmonic series, Euler's constant, geometric probability, and much more. Over the fifteen chapters, readers will discover the elegance of calculus and the pivotal role it plays within mathematics. A Compact Capstone Course in Classical Calculus is ideal for exploring interesting topics in mathematics beyond the standard calculus sequence, particularly for undergraduates who may not be taking more advanced math courses. It would also serve as a useful supplement for a calculus course and a valuable resource for self-study. Readers are expected to have completed two one-semester college calculus courses.

ISBN: 9783031439148

Standard No.: 10.1007/978-3-031-43914-8doiSubjects--Topical Terms:

517463
Calculus.

LC Class. No.: QA303.2 / .M47 2023

Dewey Class. No.: 515

A compact capstone course in classical calculus
LDR:02777nmm a2200337 a 4500 001 2336267
003 DE-He213
005 20231120160654.0
006 m d
007 cr nn 008maaau
008 240402s2023 sz s 0 eng d
020 $a 9783031439148 $q (electronic bk.)
020 $a 9783031439131 $q (paper)
024 7 $a 10.1007/978-3-031-43914-8 $2 doi
035 $a 978-3-031-43914-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA303.2 $b .M47 2023
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 515 $2 23
090 $a QA303.2 $b .M554 2023
100 1 $a Mercer, Peter R. $3 2108859
245 1 2 $a A compact capstone course in classical calculus $h [electronic resource] / $c by Peter R. Mercer.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2023.
300 $a xi, 157 p. : $b illustrations, digital ; $c 24 cm.
490 1 $a Compact textbooks in mathematics, $x 2296-455X
505 0 $a Chapter 1. Prelude: Vi'ete's Product -- Chapter. 2. Calculus Warm-up -- Chapter. 3. The Probability Integral & Gamma Function -- Chapter. 4. Wallis's Product -- Chapter. 5. Interlude: How Big is a Ball ? -- Chapter. 6. Convexity - Tangents -- Chapter. 7. Some Important Series -- Chapter. 8. Geometric Probability -- Chapter. 9. Convexity - Chords -- Chapter. 10. Interlude: Minkowski Distance -- Chapter. 11. The Basel Problem -- Chapter. 12. Interlude: Beyond Basel -- Chapter. 13. Stirling's Formula -- Chapter. 14. Euler's Sine Product -- Chapter. 15. Postlude: Stirling's Formula Again -- Index.
520 $a This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The author's enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisites. Readers will gain a broad knowledge of the area, with approaches based on those found in recent literature, as well as historical remarks that deepen the exposition. Specific topics covered include the binomial theorem, the harmonic series, Euler's constant, geometric probability, and much more. Over the fifteen chapters, readers will discover the elegance of calculus and the pivotal role it plays within mathematics. A Compact Capstone Course in Classical Calculus is ideal for exploring interesting topics in mathematics beyond the standard calculus sequence, particularly for undergraduates who may not be taking more advanced math courses. It would also serve as a useful supplement for a calculus course and a valuable resource for self-study. Readers are expected to have completed two one-semester college calculus courses.
650 0 $a Calculus. $3 517463
650 1 4 $a General Mathematics. $3 3602211
650 2 4 $a Real Functions. $3 891265
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Compact textbooks in mathematics. $3 2107015
856 4 0 $u https://doi.org/10.1007/978-3-031-43914-8
950 $a Mathematics and Statistics (SpringerNature-11649)