دانلود کتاب زبان اصلی CALCULUS اثر Apostol
This book is a continuation of the author’s Calculus, Volume I, Second Edition. The present volume has been written with the same underlying philosophy that prevailed in the first. Sound training in technique is combined with a strong theoretical development. Every effort has been made to convey the spirit of modern mathematics without undue emphasis on formalization. As in Volume I, historical remarks are included to give the student a sense of participation in the evolution of ideas. The second volume is divided into three parts, entitled Linear Analysis, Nonlinear Ana!ysis, and Special Topics. The last two chapters of Volume I have been repeated as the first two chapters of Volume II so that all the material on linear algebra will be complete in one volume. Part 1 contains an introduction to linear algebra, including linear transformations, matrices, determinants, eigenvalues, and quadratic forms. Applications are given to analysis, in particular to the study of linear differential equations. Systems of differential equations are treated with the help of matrix calculus. Existence and uniqueness theorems are proved by Picard’s method of successive approximations, which is also cast in the language of contraction operator
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عنوان: کتاب زبان اصلی CALCULUS اثر Apostol
نویسنده: Apostol
تعداد صفحات:۶۹۶
زبان: انگلیسی