Additive Combinatorics

Β·
· Cambridge Studies in Advanced Mathematics Книга 105 · Cambridge University Press
4,0
1 Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΡ˜Π°
Π•-ΠΊΠ½ΠΈΠ³Π°
18
Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†ΠΈ
ΠžΡ†Π΅Π½ΠΈΡ‚Π΅ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈΡ‚Π΅ Π½Π΅ сС ΠΏΠΎΡ‚Π²Ρ€Π΄Π΅Π½ΠΈ Β Π”ΠΎΠ·Π½Π°Ρ˜Ρ‚Π΅ повСќС

Π—Π° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as SzemerΓ©di's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.

ΠžΡ†Π΅Π½ΠΈ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈ

4,0
1 Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΡ˜Π°

Π—Π° Π°Π²Ρ‚ΠΎΡ€ΠΎΡ‚

Terence Tao is a Professor in the Department of Mathematics at the University of California, Los Angeles. He was awarded the Fields Medal in 2006 for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory.

Van H. Vu is a Professor in the Department of Mathematics at Rutgers University, New Jersey.

ΠžΡ†Π΅Π½Π΅Ρ‚Π΅ ја Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

ΠšΠ°ΠΆΠ΅Ρ‚Π΅ Π½ΠΈ ΡˆΡ‚ΠΎ мислитС.

Π˜Π½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΈ Π·Π° Ρ‡ΠΈΡ‚Π°ΡšΠ΅

ΠŸΠ°ΠΌΠ΅Ρ‚Π½ΠΈ Ρ‚Π΅Π»Π΅Ρ„ΠΎΠ½ΠΈ ΠΈ Ρ‚Π°Π±Π»Π΅Ρ‚ΠΈ
Π˜Π½ΡΡ‚Π°Π»ΠΈΡ€Π°Ρ˜Ρ‚Π΅ ја Π°ΠΏΠ»ΠΈΠΊΠ°Ρ†ΠΈΡ˜Π°Ρ‚Π° Google Play Books Π·Π° Android ΠΈ iPad/iPhone. Автоматски сС синхронизира со смСтката ΠΈ Π²ΠΈ ΠΎΠ²ΠΎΠ·ΠΌΠΎΠΆΡƒΠ²Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ онлајн ΠΈΠ»ΠΈ ΠΎΡ„Π»Π°Ρ˜Π½ ΠΊΠ°Π΄Π΅ ΠΈ Π΄Π° стС.
Π›Π°ΠΏΡ‚ΠΎΠΏΠΈ ΠΈ ΠΊΠΎΠΌΠΏΡ˜ΡƒΡ‚Π΅Ρ€ΠΈ
МоТС Π΄Π° ΡΠ»ΡƒΡˆΠ°Ρ‚Π΅ Π°ΡƒΠ΄ΠΈΠΎΠΊΠ½ΠΈΠ³ΠΈ ΠΊΡƒΠΏΠ΅Π½ΠΈ ΠΎΠ΄ Google Play со ΠΊΠΎΡ€ΠΈΡΡ‚Π΅ΡšΠ΅ Π½Π° Π²Π΅Π±-прСлистувачот Π½Π° ΠΊΠΎΠΌΠΏΡ˜ΡƒΡ‚Π΅Ρ€ΠΎΡ‚.
Π•-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ ΠΈ Π΄Ρ€ΡƒΠ³ΠΈ ΡƒΡ€Π΅Π΄ΠΈ
Π—Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΈ со Π΅-мастило, ΠΊΠ°ΠΊΠΎ ΡˆΡ‚ΠΎ сС Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈΡ‚Π΅ Kobo, ќС Ρ‚Ρ€Π΅Π±Π° Π΄Π° ΠΏΡ€Π΅Π·Π΅ΠΌΠ΅Ρ‚Π΅ Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠ° ΠΈ Π΄Π° ја ΠΏΡ€Π΅Ρ„Ρ€Π»ΠΈΡ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΎΡ‚. Π‘Π»Π΅Π΄Π΅Ρ‚Π΅ Π³ΠΈ Π΄Π΅Ρ‚Π°Π»Π½ΠΈΡ‚Π΅ упатства Π²ΠΎ Π¦Π΅Π½Ρ‚Π°Ρ€ΠΎΡ‚ Π·Π° помош Π·Π° ΠΏΡ€Π΅Ρ„Ρ€Π»Π°ΡšΠ΅ Π½Π° Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠΈΡ‚Π΅ Π½Π° ΠΏΠΎΠ΄Π΄Ρ€ΠΆΠ°Π½ΠΈ Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ.