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) 46429 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 28 iun 2012 46429 lei  6-8 săpt.
Hardback (1) 56317 lei  6-8 săpt.
  Springer Berlin, Heidelberg – sep 1985 56317 lei  6-8 săpt.

Din seria Grundlehren der mathematischen Wissenschaften

  • 17% Sphere Packings, Lattices and Groups
    Preț: 53972 lei
  • 18% Convex Analysis and Minimization Algorithms I: Fundamentals
    Preț: 86765 lei
  • Convex Analysis and Minimization Algorithms II: Advanced Theory and Bundle Methods
    Preț: 64148 lei
  • Vorlesungen über Grundlagen der Geometrie
    Preț: 37184 lei
  • 18% Percolation
    Preț: 74716 lei
  • Moderne Algebra
    Preț: 41752 lei
  • 24% p-Adic Lie Groups
    Preț: 68505 lei
  • 15% Quantitative Stochastic Homogenization and Large-Scale Regularity
    Preț: 57368 lei
  • 15% Basic Number Theory
    Preț: 45501 lei
  • 24% Loewner's Theorem on Monotone Matrix Functions
    Preț: 65497 lei
  • Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie I: Elementare Differentialgeometrie
    Preț: 40327 lei
  • 15% Elementare Differentialgeometrie
    Preț: 43543 lei
  • Vorlesungen Über Differentialgeometrie I: Elementare Differentialgeometrie
    Preț: 34301 lei
  • Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie I: Elementare Differentialgeometrie
    Preț: 46591 lei
  • Der Ricci-Kalkül: Eine Einführung in die Neueren Methoden und Probleme der Mehrdimensionalen Differentialgeometrie
    Preț: 40697 lei
  • 15% Praxis der Konformen Abbildung
    Preț: 42726 lei
  • 15% The Differential Geometry of Finsler Spaces
    Preț: 50750 lei
  • 15% Absolute Analysis
    Preț: 56694 lei
  • Absolute Analysis
    Preț: 34003 lei
  • 18% Markov Chains: With Stationary Transition Probabilities
    Preț: 69951 lei
  • Markov Chains with Stationary Transition Probabilities
    Preț: 37324 lei
  • 15% Die innere Geometrie der metrischen Räume
    Preț: 43732 lei
  • 15% Grundzüge der Mathematischen Logik
    Preț: 46255 lei
  • Topologische Lineare Räume I
    Preț: 44683 lei
  • Vorlesungen über Funktionentheorie
    Preț: 34834 lei
  • Equations Differentielles Operationnelles: Et Problèmes aux Limites
    Preț: 46946 lei
  • 15% Vorlesungen Über Theoretische Mechanik
    Preț: 43041 lei
  • Hilbertsche Räume mit Kernfunktion
    Preț: 40383 lei
  • 18% Abstract Harmonic Analysis: Volume I: Structure of Topological Groups Integration Theory Group Representations
    Preț: 70963 lei
  • Linear Partial Differential Operators
    Preț: 37376 lei
  • Einführung in die Theorie der Speziellen Funktionen der Mathematischen Physik
    Preț: 40327 lei
  • 15% The Theory of Branching Processes
    Preț: 55862 lei
  • Methoden der Mathematischen Physik
    Preț: 47873 lei
  • Funktionalanalysis und Numerische Mathematik
    Preț: 34688 lei
  • Markov Processes: Volume II
    Preț: 37303 lei
  • Einführung in die Wahrscheinlichkeitsrechnung und mathematische Statistik
    Preț: 40383 lei
  • Quasikonforme Abbildungen
    Preț: 43647 lei
  • Enumerability · Decidability Computability: An Introduction to the Theory of Recursive Functions
    Preț: 37173 lei
  • Jordan-Algebren
    Preț: 34594 lei
  • Vorlesungen über Differenzenrechnung
    Preț: 48384 lei
  • Geometrische Ordnungen
    Preț: 41324 lei
  • Handbook for Automatic Computation: Volume I · Part a
    Preț: 37601 lei
  • Handbook for Automatic Computation: Volume I · Part b
    Preț: 38009 lei
  • 15% Stability of Motion
    Preț: 56929 lei

Preț: 56317 lei

Preț vechi: 66255 lei
-15% Nou

Puncte Express: 845
Preț estimativ în valută:
9964€ • 11626$ • 8711£

Carte tipărită la comandă

Livrare economică 17-31 ianuarie 26

 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