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THE

ANALYSIS AND SOLUTION

OF

QA 218 y73

CUBIC AND BIQUADRATIC EQUATIONS.

PRINTED BY C. ADLARD, BARTHOLOMEW CLOSE.

ANALYSIS AND SOLUTION

OF

CUBIC AND BIQUADRATIC

EQUATIONS;

FORMING A SEQUEL TO

THE ELEMENTS OF ALGEBRA,

AND AN INTRODUCTION TO THE

THEORY AND SOLUTION OF EQUATIONS OF THE
HIGHER ORDERS.

BY J. R. YOUNG,

PROFESSOR OF MATHEMATICS IN BELFAST COLLEGE.

LONDON:

SOUTER AND LAW, 131, FLEET STREET.
1842.

40. NRJ,

PREFACE.

CONSIDERABLE advances have of late been made in that department of analysis to which the theory and solution of Numerical Equations belongs; although, as is often the case with extensive innovations upon longestablished practices, these improvements have met with general acceptance by but very slow degrees.

In a work on Equations, published in 1835, I endeavoured to embody the principal of the modern discoveries in this department of enquiry, in a form accessible to the algebraic student; and from the various public testimonies which have appeared in commendation of I that endeavour, I am encouraged to hope that the book has in some degree contributed to awaken that spirit of examination into the pretensions and capabilities of the modern methods, which is now in pretty active exercise among British mathematicians; and from which it may be reasonably expected that these methods will be eventually perfected into the forms best suited to the actual demands of practical science.

On account of the variety of topics discussed in the publication just adverted to, all of them closely connected with the general doctrine of equations, it was found that brevity and compression were essential to the design of comprehending the enquiry within the compass of a single volume of moderate size and price.

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