Nature and Growth of Modern Mathematics
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A01=Edna Ernestine Kramer
Abstract algebra
Academic publishing
Algebraic equation
Algebraic geometry
Applied mathematics
Author_Edna Ernestine Kramer
Axiom
Boolean algebra
Boolean algebra (structure)
Cardinal number
Cartesian coordinate system
Category=PBB
Commutative ring
Complex number
Elementary arithmetic
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Equation
Foundations of Differential Geometry
Foundations of mathematics
Fundamental theorem of algebra
Fundamental theorem of arithmetic
Future of mathematics
Geometric transformation
Geometry
Harmonic series (mathematics)
Hypercomplex number
Indian mathematics
Integer
Integer factorization
Interval (mathematics)
Mathematical economics
Mathematical instrument
Mathematical logic
Mathematical physics
Mathematical Reviews
Mathematician
Mathematics
Mathematics education
Mathematische Zeitschrift
Matrix (mathematics)
Max-plus algebra
Messenger of Mathematics
Modern philosophy
Modular arithmetic
Multiplication table
Natural number
New algebra
Number theory
Parity (mathematics)
Philosophiae Naturalis Principia Mathematica
Prime number theorem
Probability
Proportionality (mathematics)
Pure mathematics
Quantity
Range (mathematics)
Rational number
Real number
Result
Ring (mathematics)
Ring of integers
Scripta Mathematica
Second Industrial Revolution
Series (mathematics)
Set (mathematics)
Sign (mathematics)
Statement (computer science)
Tensor calculus
Theorem
Theory
Unification (computer science)
Variable (computer science)
Variable (mathematics)
Product details
- ISBN 9780691023724
- Weight: 879g
- Dimensions: 140 x 216mm
- Publication Date: 21 Feb 1983
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.
