1 Table of Contents: “...Problems and Tricks -- Number Theory -- Some Applications of Elementary Number Theory -- Ideas...”

2 Table of Contents: “...The Plancherel Theorem for a Reductive Symmetric Space -- The Paley—Wiener Theorem for a Reductive...”

3 Table of Contents: “...I. A Few Fundamentals -- 1. Introduction -- 2. The Natural Numbers -- 3. Primes -- 4. The Prime...”

4 Table of Contents: “...I A Few Fundamentals -- 1. Introduction -- 2. The Natural Numbers -- 3. Primes -- 4. The Prime...”

5 Table of Contents: “...1. Fundamental Notions of Quantum Mechanics -- § 1. Wave Functions -- § 2. Hilbert Spaces -- § 3...”

6 Table of Contents: “... and the Orbit Method -- Epilogue: Outlook to Number Theory...”

7 Table of Contents: “... Formulae -- Verma Modules I: Preliminaries -- Verma Modules II: Structure Theorem -- A Duality among Verma...”

8 Table of Contents: “... -- B.1 Stone-Weierstrass Theorem -- B.2 The Gelfand Transform -- C. Division Polynomials -- E.1 Lehmer...”

9 Table of Contents: “... Differential Forms and Haar Measure -- D Clebsch-Gordan Theory for SU(2) and the Wigner-Eckart Theorem -- D.1...”

10 Table of Contents: “...Fundamentals -- Divisibility -- Powers of Integers -- Floor Function and Fractional Part -- Digits...”

11 Table of Contents: “... and the Classification of Finite Abelian Groups -- 6 Symmetric and Alternating Groups -- 7 The Sylow Theorems -- Part III...”

12 Table of Contents: “... subalgebras of ?(W)associated with the Virasoro algebra -- 5.7 General construction theorems for vertex...”

13 “... algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics...”

14 Table of Contents: “... modules -- Suslin’s stability theorem -- Annex -- Constructive logic...”

15 Subjects: “...Mathematical Physics...”

16 Table of Contents: “.... & Ipek, P.) -- Non-Commutative Geometry and Applications to Physical Systems (Zaim...”

17 Table of Contents: “...I Representations and Characters -- 1 Generalities on linear representations -- 2 Character theory...”

18 Table of Contents: “... Damiani, Towards a version of Markov’s theorem for ribbon torus-links in ${\Bbb R} 4$ -- Ioannis Diamantis...”

19 Subjects: “...Number theory...”

20 Table of Contents: “...Notes on Chapter 6 -- 7. Lp-Theory of Harish-Chandra Transform. Fourier Analysis on the Spaces Cp(G...”