sum of "n" consecutive integers - ScholarWorks @ UMT
... Theorem For all n , it is always possible to find at least one sum of n consecutive numbers with an equivalent sum of n 1 consecutive numbers? ----------Until recently I did not realise that this wonderful pattern existed. ...
... Theorem For all n , it is always possible to find at least one sum of n consecutive numbers with an equivalent sum of n 1 consecutive numbers? ----------Until recently I did not realise that this wonderful pattern existed. ...
Available for adoption from JOHNS HOPKINS UNIVERSITY PRESS
... students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a c ...
... students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a c ...
Mathematical Approaches that Support K-12
... • Geometric illustrations of number, relations, numerical operations, algebraic operations, algebraic concepts, – including tangents, limits, area under curves, equilibrium values, rate of change, …. – Rolle’s theorem for 10th graders. ...
... • Geometric illustrations of number, relations, numerical operations, algebraic operations, algebraic concepts, – including tangents, limits, area under curves, equilibrium values, rate of change, …. – Rolle’s theorem for 10th graders. ...
1 Introduction 2 What is Discrete Mathematics?
... This course covers the mathematical topics most directly related to computer science. Topics include: logic, basic set theory, proof techniques, number theory, mathematical induction, recursion, recurrence relations, counting, probability and graph theory. Emphasis will be placed on providing a cont ...
... This course covers the mathematical topics most directly related to computer science. Topics include: logic, basic set theory, proof techniques, number theory, mathematical induction, recursion, recurrence relations, counting, probability and graph theory. Emphasis will be placed on providing a cont ...
Indian Mathematics
... Unlike Modern mathematics, addition was indicated by juxtaposition, rather than multiplication. ...
... Unlike Modern mathematics, addition was indicated by juxtaposition, rather than multiplication. ...
Math History: Final Exam Study Guide
... Math History: Final Exam Study Guide 1. Tallying, Hieroglyphics, Cuneiform, Rosetta Stone, Behistun Rock, Rhind Papyrus, Plimpton 322. 2. Egyptian whole number arithmetic (addition and multiplication) 3. Egyptian rules for “unit” fractions; simple examples 4. General nature of Egyptian math, includi ...
... Math History: Final Exam Study Guide 1. Tallying, Hieroglyphics, Cuneiform, Rosetta Stone, Behistun Rock, Rhind Papyrus, Plimpton 322. 2. Egyptian whole number arithmetic (addition and multiplication) 3. Egyptian rules for “unit” fractions; simple examples 4. General nature of Egyptian math, includi ...
History of mathematics
The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. The most ancient mathematical texts available are Plimpton 322 (Babylonian mathematics c. 1900 BC), the Rhind Mathematical Papyrus (Egyptian mathematics c. 2000-1800 BC) and the Moscow Mathematical Papyrus (Egyptian mathematics c. 1890 BC). All of these texts concern the so-called Pythagorean theorem, which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry.The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans, who coined the term ""mathematics"" from the ancient Greek μάθημα (mathema), meaning ""subject of instruction"". Greek mathematics greatly refined the methods (especially through the introduction of deductive reasoning and mathematical rigor in proofs) and expanded the subject matter of mathematics. Chinese mathematics made early contributions, including a place value system. The Hindu-Arabic numeral system and the rules for the use of its operations, in use throughout the world today, likely evolved over the course of the first millennium AD in India and were transmitted to the west via Islamic mathematics through the work of Muḥammad ibn Mūsā al-Khwārizmī. Islamic mathematics, in turn, developed and expanded the mathematics known to these civilizations. Many Greek and Arabic texts on mathematics were then translated into Latin, which led to further development of mathematics in medieval Europe.From ancient times through the Middle Ages, bursts of mathematical creativity were often followed by centuries of stagnation. Beginning in Renaissance Italy in the 16th century, new mathematical developments, interacting with new scientific discoveries, were made at an increasing pace that continues through the present day.