Cantitate/Preț
Produs
Total produse
Vezi coșul
Elliptic Functions de Komaravolu Chandrasekharan

Elliptic Functions: Grundlehren der mathematischen Wissenschaften, cartea 281

Autor Komaravolu Chandrasekharan
en Limba Engleză Hardback – sep 1985
This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with theta-functions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are function-theoretic, and the next four concern arithmetical applications. There are Notes at the end of every chapter, which contain references to the literature, comments on the text, and on the ramifications, old and new, of the problems dealt with, some of them extending into cognate fields. The treatment is self-contained, and makes no special demand on the reader's knowledge beyond the elements of complex analysis in one variable, and of group theory.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 47300 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 28 iun 2012 47300 lei  6-8 săpt.
Hardback (1) 57389 lei  6-8 săpt.
  Springer Berlin, Heidelberg – sep 1985 57389 lei  6-8 săpt.

Din seria Grundlehren der mathematischen Wissenschaften

  • Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie I: Elementare Differentialgeometrie
    Preț: 35384 lei
  • 18% Abstract Harmonic Analysis: Volume I: Structure of Topological Groups Integration Theory Group Representations
    Preț: 72326 lei
  • Analytische Stellenalgebren
    Preț: 41021 lei
  • 24% Riemann-Roch Algebra
    Preț: 58787 lei
  • 17% Sphere Packings, Lattices and Groups
    Preț: 49873 lei
  • Convex Analysis and Minimization Algorithms II: Advanced Theory and Bundle Methods
    Preț: 59275 lei
  • 24% The Local Langlands Conjecture for GL(2)
    Preț: 89328 lei
  • 20% Optimal Transport: Old and New
    Preț: 82473 lei
  • 24% p-Adic Lie Groups
    Preț: 63296 lei
  • 15% Quantitative Stochastic Homogenization and Large-Scale Regularity
    Preț: 58463 lei
  • 15% Loewner's Theorem on Monotone Matrix Functions
    Preț: 70005 lei
  • Grundprobleme der Mathematischen Theorie Elektromagnetischer Schwingungen
    Preț: 33301 lei
  • 15% Basic Number Theory
    Preț: 46361 lei
  • Vorlesungen Über Differentialgeometrie I: Elementare Differentialgeometrie
    Preț: 34935 lei
  • Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie I: Elementare Differentialgeometrie
    Preț: 47465 lei
  • 15% Elementare Differentialgeometrie
    Preț: 44367 lei
  • Der Ricci-Kalkül: Eine Einführung in die neueren Methoden und Probleme der mehrdimensionalen Differentialgeometrie
    Preț: 44746 lei
  • 15% Ricci-Calculus: An Introduction to Tensor Analysis and Its Geometrical Applications
    Preț: 69442 lei
  • Der Ricci-Kalkül: Eine Einführung in die Neueren Methoden und Probleme der Mehrdimensionalen Differentialgeometrie
    Preț: 41457 lei
  • 15% Praxis der Konformen Abbildung
    Preț: 43533 lei
  • 15% The Differential Geometry of Finsler Spaces
    Preț: 51716 lei
  • 15% Absolute Analysis
    Preț: 57775 lei
  • Absolute Analysis
    Preț: 34630 lei
  • 18% Markov Chains: With Stationary Transition Probabilities
    Preț: 71293 lei
  • Markov Chains with Stationary Transition Probabilities
    Preț: 38017 lei
  • 15% Die innere Geometrie der metrischen Räume
    Preț: 44558 lei
  • 15% Grundzüge der Mathematischen Logik
    Preț: 47131 lei
  • Topologische Lineare Räume I
    Preț: 45519 lei
  • Die Grundlagen der Theorie der Markoffschen Prozesse
    Preț: 34178 lei
  • Vorlesungen über Funktionentheorie
    Preț: 35478 lei
  • Equations Differentielles Operationnelles: Et Problèmes aux Limites
    Preț: 47830 lei
  • 15% Vorlesungen Über Theoretische Mechanik
    Preț: 43854 lei
  • Hilbertsche Räume mit Kernfunktion
    Preț: 41137 lei
  • Linear Partial Differential Operators
    Preț: 38072 lei
  • Einführung in die Theorie der Speziellen Funktionen der Mathematischen Physik
    Preț: 41079 lei
  • 15% The Theory of Branching Processes
    Preț: 56927 lei
  • Methoden der Mathematischen Physik
    Preț: 48773 lei
  • Funktionalanalysis und Numerische Mathematik
    Preț: 35328 lei
  • Markov Processes: Volume II
    Preț: 37996 lei
  • Einführung in die Wahrscheinlichkeitsrechnung und mathematische Statistik
    Preț: 41137 lei
  • 18% Quasiconformal Mappings in the Plane
    Preț: 71107 lei
  • Quasikonforme Abbildungen
    Preț: 44463 lei
  • Enumerability · Decidability Computability: An Introduction to the Theory of Recursive Functions
    Preț: 37863 lei
  • Jordan-Algebren
    Preț: 35233 lei

Preț: 57389 lei

Preț vechi: 67516 lei
-15% Nou

Puncte Express: 861
Preț estimativ în valută:
10987€ • 11420$ • 9109£

Carte tipărită la comandă

Livrare economică 06-20 februarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783540152958
ISBN-10: 3540152954
Pagini: 208
Ilustrații: XI, 192 p.
Dimensiuni: 156 x 234 x 17 mm
Greutate: 0.47 kg
Ediția:1985
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Grundlehren der mathematischen Wissenschaften

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

I. Periods of meromorphic functions.- § 1. Meromorphic functions.- § 2. Periodic meromorphic functions.- § 3. Jacobi’s lemma.- § 4. Elliptic functions.- § 5. The modular group and modular functions.- Notes on Chapter I.- II. General properties of elliptic functions.- §1. The period parallelogram.- § 2. Elementary properties of elliptic functions.- Notes on Chapter II.- III. Weierstrass’s elliptic function ?(z).- §1. The convergence of a double series.- § 2. The elliptic function ?(z).- § 3. The differential equation associated with ?(z).- § 4. The addition-theorem.- § 5. The generation of elliptic functions.- Appendix I. The cubic equation.- Appendix II. The biquadratic equation.- Notes on Chapter III.- IV. The zeta-function and the sigma-function of Weierstrass.- § 1. The function ?(z).- §2. The function ?(z).- § 3. An expression for elliptic functions.- Notes on Chapter IV.- V. The theta-functions.- §1. The function ?(?, ?).- § 2. The four sigma-functions.- § 3. The four theta-functions.- § 4. The differential equation.- § 5. Jacobi’s formula for ?’ (0, ?).- § 6. The infinite products for the theta-functions.- § 7. Theta-functions as solutions of functional equations.- § 8. The transformation formula connecting ?3(v, ?) and ?3(?, ?1/?) ..- Notes on Chapter V.- VI. The modular function J(?).- § 1. Definition of J(?).- § 2. The functions g2(?) and g3(?).- § 3. Expansion of the function J(?) and the connexion with theta-functions.- § 4. The function J(?) in a fundamental domain of the modular group ..- § 5. Relations between the periods and the invariants of ?(u).- § 6. Elliptic integrals of the first kind.- Notes on Chapter VI.- VII. The Jacobian elliptic functions and the modular function ?(?).- § 1.The functions sn u, en u, dn u of Jacobi.- § 2. Definition by theta-functions.- § 3. Connexion with the sigma-functions.- § 4. The differential equation.- § 5. Infinite products for the Jacobian elliptic functions.- § 6. Addition-theorems for sn u, cn u, dn u.- § 7. The modular function ?(?).- §8. Mapping properties of ?(?) and Picard’s theorem.- Notes on Chapter VII.- VIII. Dedekind’s ?-function and Euler’s theorem on pentagonal numbers.- § 1. Connexion with the invariants of the ?-function and with the theta-functions.- § 2. Euler’s theorem and Jacobi’s proof.- § 3. The transformation formula connecting ?(z) and ?(?½).- §4. Siegel’s proof of Theorem 1.- §5. Connexion between ?(z) and the modular functions J(z), ?(z).- Notes on Chapter VIII.- IX. The law of quadratic reciprocity.- § 1. Reciprocity of generalized Gaussian sums.- § 2. Quadratic residues.- §3. The law of quadratic reciprocity.- Notes on Chapter IX.- X. The representation of a number as a sum of four squares ..- §1. The theorems of Lagrange and of Jacobi.- § 2. Proof of Jacobi’s theorem by means of theta-functions.- §3. Siegel’s proof of Jacobi’s theorem.- Notes on Chapter X.- XI. The representation of a number by a quadratic form.- §1. Positive-definite quadratic forms.- § 2. Multiple theta-series and quadratic forms.- § 3. Theta-functions associated to positive-definite forms.- § 4. Representation of an even integer by a positive-definite form.- Notes on Chapter XI.- Chronological table.

Recenzii

"...In the breadth, depth and inevitability of treatment of this beautiful material, the author has made a contribution to the mathematical community consistent with the distinction of his career. That he has succeeded in compressing this treatment into a succinct monograph of fewer than 190 pages is a testament to his taste, discipline and powers of exposition."-- MATHEMATICAL REVIEWS