عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
شابک
شابک
9783662054123
شابک
9783662054147
شماره کتابشناسی ملی
شماره
b407856
عنوان و نام پديدآور
عنوان اصلي
Proofs from THE BOOK
نام عام مواد
[Book]
نام نخستين پديدآور
by Martin Aigner, Günter M. Ziegler.
وضعیت ویراست
وضعيت ويراست
Third Edition.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Berlin, Heidelberg :
نام ناشر، پخش کننده و غيره
Imprint: Springer,
تاریخ نشرو بخش و غیره
2004.
یادداشتهای مربوط به مندرجات
متن يادداشت
Number Theory -- 1. Six proofs of the infinity of primes -- 2. Bertrand's postulate -- 3. Binomial coefficients are (almost) never powers -- 4. Representing numbers as sums of two squares -- 5. Every finite division ring is a field -- 6. Some irrational numbers -- 7. Three times ?2/6 -- Geometry -- 8. Hilbert's third problem: decomposing polyhedra -- 9. Lines in the plane and decompositions of graphs -- 10. The slope problem -- 11. Three applications of Euler's formula -- 12. Cauchy's rigidity theorem -- 13. Touching simplices -- 14. Every large point set has an obtuse angle -- 15. Borsuk's conjecture -- Analysis -- 16. Sets, functions, and the continuum hypothesis -- 17. In praise of inequalities -- 18. A theorem of Pólya on polynomials -- 19. On a lemma of Littlewood and Offord -- 20. Cotangent and the Herglotz trick -- 21. Buffon's needle problem -- Combinatorics -- 22. Pigeon-hole and double counting -- 23. Three famous theorems on finite sets -- 24. Shuffling cards -- 25. Lattice paths and determinants -- 26. Cayley's formula for the number of trees -- 27. Completing Latin squares -- 28. The Dinitz problem -- 29. Identities versus bijections -- Graph Theory -- 30. Five-coloring plane graphs -- 31. How to guard a museum -- 32. Turán's graph theorem -- 33. Communicating without errors -- 34. Of friends and politicians -- 35. Probability makes counting (sometimes) easy -- About the Illustrations.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately, and the proofs are brilliant. Moreover, the exposition makes them transparent. ..." LMS Newsletter, January 1999 This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such an exciting new way to "enumerate the rationals."
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9783662054147
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Combinatorics.
موضوع مستند نشده
Computer science.
موضوع مستند نشده
Geometry.
موضوع مستند نشده
Global analysis (Mathematics).
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Number theory.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Aigner, Martin.
نام شخص - (مسئولیت معنوی برابر )
مستند نام اشخاص تاييد نشده
Ziegler, Günter M.
نام تنالگان _ (مسئولیت معنوی برابر)
مستند نام تنالگان تاييد نشده
SpringerLink (Online service)
مبدا اصلی
تاريخ عمليات
20190307161300.0
دسترسی و محل الکترونیکی
نام الکترونيکي
مطالعه متن کتاب اطلاعات رکورد کتابشناسی
نوع ماده
[Book]
اطلاعات دسترسی رکورد
تكميل شده
Y
