Ebook: Mathematics and Its History

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Content:
Front Matter....Pages i-xviii
The Theorem of Pythagoras....Pages 1-16
Greek Geometry....Pages 17-36
Greek Number Theory....Pages 37-50
Infinity in Greek Mathematics....Pages 51-65
Number Theory in Asia....Pages 66-81
Polynomial Equations....Pages 82-103
Analytic Geometry....Pages 104-119
Projective Geometry....Pages 120-145
Calculus....Pages 146-169
Infinite Series....Pages 170-191
The Number Theory Revival....Pages 192-212
Elliptic Functions....Pages 213-230
Mechanics....Pages 231-255
Complex Numbers in Algebra....Pages 256-275
Complex Numbers and Curves....Pages 276-292
Complex Numbers and Functions....Pages 293-314
Differential Geometry....Pages 315-337
Noneuclidean Geometry....Pages 338-360
Group Theory....Pages 361-381
Hypercomplex Numbers....Pages 382-403
Algebraic Number Theory....Pages 404-430
Topology....Pages 431-453
Sets, Logic, and Computation....Pages 454-478
Back Matter....Pages 479-542

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Content:
Front Matter....Pages i-xviii
The Theorem of Pythagoras....Pages 1-16
Greek Geometry....Pages 17-36
Greek Number Theory....Pages 37-50
Infinity in Greek Mathematics....Pages 51-65
Number Theory in Asia....Pages 66-81
Polynomial Equations....Pages 82-103
Analytic Geometry....Pages 104-119
Projective Geometry....Pages 120-145
Calculus....Pages 146-169
Infinite Series....Pages 170-191
The Number Theory Revival....Pages 192-212
Elliptic Functions....Pages 213-230
Mechanics....Pages 231-255
Complex Numbers in Algebra....Pages 256-275
Complex Numbers and Curves....Pages 276-292
Complex Numbers and Functions....Pages 293-314
Differential Geometry....Pages 315-337
Noneuclidean Geometry....Pages 338-360
Group Theory....Pages 361-381
Hypercomplex Numbers....Pages 382-403
Algebraic Number Theory....Pages 404-430
Topology....Pages 431-453
Sets, Logic, and Computation....Pages 454-478
Back Matter....Pages 479-542
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