part Part I - ELEMENTS OF NUMBER THEORY AND ALGEBRA -- chapter 1 Theorems of Euler, Fermat and Lagrange -- chapter 2 The integral domain of rational integers -- chapter 3 Euclidean domains -- chapter 4 Rings of polynomials and formal power series -- chapter 5 The Chinese Remainder Theorem and the evaluation of number of solutions of a linear congruence with side conditions -- chapter 6 Reciprocity laws -- chapter 7 Finite groups -- part Part II: THE RELEVANCE OF ALGEBRAIC STRUCTURES TO NUMBER THEORY -- chapter 8 Ordered fields, fields with valuation and other algebraic structures -- chapter 9 The role of the Möbius function— Abstract Möbius inversion -- chapter 10 The role of generating functions -- chapter 11 Semigroups and certain convolution algebras -- part Part III - A GLIMPSE OF ALGEBRAIC NUMBER THEORY -- chapter 12 Noetherian and Dedekind domains -- chapter 13 Algebraic number fields -- part Part IV - SOME MORE INTERCONNECTIONS -- chapter 14 Rings of arithmetic functions -- chapter 15 Analogues of the Goldbach problem -- chapter 16 An epilogue: More interconnections.