Author: Henning Andersen
Publisher:
ISBN: 9781936367504
Category : Mathematics
Languages : en
Pages : 216
Book Description
This thoughtful book, written by an experienced Waldorf teacher in Denmark, explores ways of making arithmetic and maths lessons active, engaging and concrete for children. Anderson concentrates on methods which use aspects of movement and drawing to make maths 'real', drawing on children's natural need for physical activity and innate curiosity.The techniques discussed here will work well for younger classes in Steiner-Waldorf schools.
Active Arithmetic!
Author: Henning Anderson
Publisher:
ISBN: 9781936367290
Category :
Languages : en
Pages : 216
Book Description
This thoughtful book, written by an experienced Waldorf teacher in Denmark, explores ways of making arithmetic and maths lessons active, engaging and concrete for children. Anderson concentrates on methods which use aspects of movement and drawing to make maths 'real', drawing on children's natural need for physical activity and innate curiosity.The techniques discussed here will work well for younger classes in Steiner-Waldorf schools.
Publisher:
ISBN: 9781936367290
Category :
Languages : en
Pages : 216
Book Description
This thoughtful book, written by an experienced Waldorf teacher in Denmark, explores ways of making arithmetic and maths lessons active, engaging and concrete for children. Anderson concentrates on methods which use aspects of movement and drawing to make maths 'real', drawing on children's natural need for physical activity and innate curiosity.The techniques discussed here will work well for younger classes in Steiner-Waldorf schools.
The Arithmetic of Elliptic Curves
Author: Joseph H. Silverman
Publisher: Springer Science & Business Media
ISBN: 0387094946
Category : Mathematics
Languages : en
Pages : 525
Book Description
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
Publisher: Springer Science & Business Media
ISBN: 0387094946
Category : Mathematics
Languages : en
Pages : 525
Book Description
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
A Course in Arithmetic
Author: J-P. Serre
Publisher: Springer Science & Business Media
ISBN: 1468498843
Category : Mathematics
Languages : en
Pages : 126
Book Description
This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.
Publisher: Springer Science & Business Media
ISBN: 1468498843
Category : Mathematics
Languages : en
Pages : 126
Book Description
This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.