Description: Source from back cover (image provided with listing): This enlightening survey of mathematical concept formation holds a natural appeal to philosophically minded readers, and no formal training in mathematics is necessary to appreciate its clear exposition of mathematic fundamentals. Rather than a system of theorems with completely developed proofs or examples of applications, readers will encounter a coherent presentation of mathematical ideas that begins with the natural numbers and basic laws of arithmetic and progresses to the problems of the real-number continuum and concepts of the calculus. Contents include examinations of the various types of numbers and a criticism of the extension of numbers; arithmetic, geometry, and the rigorous construction of the theory of integers; the rational numbers, the foundation of the arithmetic of natural numbers, and the rigorous construction of elementary arithmetic. Advanced topics encompass the principle of complete induction; the limit and point of accumulation; operating with sequences and differential quotient; remarkable curves; real numbers and ultrareal numbers; and complex and hypercomplex numbers.In issues of mathematical philosophy, the author explores basic theoretical differences that have been a source of debate among the most prominent scholars and on which contemporary mathematicians remain divided. "With exceptional clarity, but with no evasion of essential ideas, the author outlines the fundamental structure of mathematics." Carl B. Boyer, Brooklyn College. 27 figures. Index."
Price: 8 USD
Location: Woodland, California
End Time: 2024-11-10T07:24:42.000Z
Shipping Cost: 4.63 USD
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Item Specifics
Restocking Fee: No
Return shipping will be paid by: Buyer
All returns accepted: Returns Accepted
Item must be returned within: 30 Days
Refund will be given as: Money Back
Personalized: No
Educational Level: Adult & Further Education, High School
Level: Intermediate, Advanced
Features: indexed
SKU: 123E19
Country/Region of Manufacture: United States
Number of Pages: 272 Pages
Language: English
Publication Name: Introduction to Mathematical Thinking : the Formation of concepts in Modern Mathematics
Publisher: Dover Publications, Incorporated
Publication Year: 2003
Subject: History & Philosophy, Number Theory, Logic
Item Height: 0.6 in
Item Weight: 10.8 Oz
Type: Textbook
Subject Area: Mathematics
Author: Friedrich Waismann
Item Length: 8.3 in
Series: Dover Books on Mathematics Ser.
Item Width: 5.2 in
Format: Trade Paperback
