Lyt når som helst, hvor som helst

Nyd den ubegrænsede adgang til tusindvis af spændende e- og lydbøger - helt gratis

  • Lyt og læs så meget du har lyst til
  • Opdag et kæmpe bibliotek fyldt med fortællinger
  • Eksklusive titler + Mofibo Originals
  • Opsig når som helst
Start tilbuddet
DK - Details page - Device banner - 894x1036

Functional Analysis: Introduction to Further Topics in Analysis

Sprog
Engelsk
Format
Kategori

Fakta

This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject.

• A comprehensive and authoritative text that treats some of the main topics of modern analysis

• A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables

• Key results in each area discussed in relation to other areas of mathematics

• Highlights the organic unity of large areas of analysis traditionally split into subfields

• Interesting exercises and problems illustrate ideas

• Clear proofs provided

© 2011 Princeton University Press (E-bog): 9781400840557

Release date

E-bog: 22. august 2011

Andre kan også lide...

  1. Complex Analysis Elias M. Stein
  2. Real Analysis: Measure Theory, Integration, and Hilbert Spaces Elias M. Stein
  3. Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling William J. Stewart
  4. Partial Differential Equations: An Introduction to Theory and Applications Michael Shearer
  5. Selfsimilar Processes Paul Embrechts
  6. General Theory of Algebraic Equations Etienne Bézout
  7. The Princeton Companion to Mathematics Timothy Gowers
  8. The Mathematics of Various Entertaining Subjects: Research in Recreational Math Jason Rosenhouse
  9. Nonlinear Optimization Andrzej Ruszczynski
  10. Nonplussed!: Mathematical Proof of Implausible Ideas Julian Havil
  11. The Best Writing on Mathematics 2010 Mircea Pitici
  12. Martin Gardner: The Magic and Mystery of Numbers Scientific American
  13. Discrete and Computational Geometry Satyan L. Devadoss
  14. Numerical Analysis Larkin Ridgway Scott
  15. Topics in Mathematical Modeling Ka-Kit Tung
  16. Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms Tim P. Chartier
  17. Unsolved Problems in Mathematical Systems and Control Theory Vincent D. Blondel
  18. The Fascinating World of Graph Theory Gary Chartrand
  19. Duelling Idiots and Other Probability Puzzlers Paul J. Nahin
  20. Mathematics in Nature: Modeling Patterns in the Natural World John Adam
  21. Classical Mathematical Logic: The Semantic Foundations of Logic Richard L. Epstein
  22. Creating Symmetry: The Artful Mathematics of Wallpaper Patterns Frank A. Farris
  23. Viewpoints: Mathematical Perspective and Fractal Geometry in Art Marc Frantz
  24. Calculating the Cosmos: How Mathematics Unveils the Universe Ian Stewart
  25. Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Glen Van Brummelen
  26. Numbers: A Very Short Introduction Peter M. Higgins
  27. Topics in Commutative Ring Theory John J. Watkins
  28. How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics William Byers
  29. The Creativity Code: How AI is learning to write, paint and think Marcus du Sautoy
  30. Blow-up Theory for Elliptic PDEs in Riemannian Geometry Olivier Druet
  31. Mathematical Modeling of Earth's Dynamical Systems: A Primer Rudy Slingerland
  32. In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem Paul J. Nahin
  33. Mathematics for Human Flourishing Francis Su
  34. Mathematics: A Very Short Introduction Timothy Gowers
  35. Logic: A Very Short Introduction Graham Priest
  36. Strange Curves, Counting Rabbits, & Other Mathematical Explorations Keith Ball
  37. Real Analysis with Economic Applications Efe A. Ok
  38. Machine Learning Introbooks Team
  39. Mathematics for the Life Sciences Suzanne Lenhart
  40. Mathematical Knowledge and the Interplay of Practices José Ferreirós
  41. Mathematical Techniques in Finance: Tools for Incomplete Markets - Second Edition Ales Cerný
  42. The Calculus of Friendship: What a Teacher and a Student Learned about Life while Corresponding about Math Steven Strogatz
  43. Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice Roi Wagner
  44. The Joy of X: A Guided Tour of Math, from One to Infinity Steven Strogatz
  45. Introduction to Mathematical Sociology Philip Lu

Vælg dit abonnement

  • Over 600.000 titler

  • Download og nyd titler offline

  • Eksklusive titler + Mofibo Originals

  • Børnevenligt miljø (Kids Mode)

  • Det er nemt at opsige når som helst

Flex

For dig som vil prøve Mofibo.

89 kr. /måned
  • 1 konto

  • 20 timer/måned

  • Gem op til 100 ubrugte timer

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Prøv gratis
Den mest populære

Premium

For dig som lytter og læser ofte.

129 kr. /måned
  • 1 konto

  • 100 timer/måned

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Start tilbuddet

Unlimited

For dig som lytter og læser ubegrænset.

149 kr. /måned
  • 1 konto

  • Ubegrænset adgang

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Start tilbuddet

Family

For dig som ønsker at dele historier med familien.

Fra 179 kr. /måned
  • 2-6 konti

  • 100 timer/måned pr. konto

  • Fri lytning til podcasts

  • Kun 39 kr. pr. ekstra konto

  • Ingen binding

2 konti

179 kr. /måned
Prøv gratis