The legacy of Leonhard Euler : a tricentennial tribute /

This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler's works on number theory, algebra, geomet...

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Bibliographic Details
Main Authors: Debnath, Lokenath
Corporate Authors: World Scientific Firm
Published: Imperial College Press ; Distributed by World Scientific Pub. Co.,
Publisher Address: London : Singapore :
Publication Dates: 2010.
Literature type: eBook
Language: English
Subjects:
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/P698#t=toc
Summary: This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler's works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and
Carrier Form: 1 online resource (xxv,392pages) : illustrations, ports. (some color)
Bibliography: Includes bibliographical references (pages 373-381) and index.
ISBN: 9781848165267 (electronic bk.)
CLC: O11
Contents: 1. Mathematics before Leonhard Euler. 1.1. Introduction. 1.2. Pythagoras, the Pythagorean school and euclid. 1.3. The major impact of the European renaissance on mathematics and science. 1.4. The discovery of calculus by Newton and Leibniz -- 2. Brief biographical sketch and career of Leonhard Euler. 2.1. Euler's early life. 2.2. Euler's professional career -- 3. Euler's contributions to number theory and algebra. 3.1. Introduction. 3.2. Euler's Phi function and cryptography. 3.3. Euler's other work on number theory. 3.4. Euler and partitions of numbers. 3.5. Euler's contributions to continu