L. Elsgolts

Hardcover 

440 pages

Mir Publishers Moscow 

Step beyond the ordinary boundaries of standard mathematics and unlock the powerful tools that govern change, motion, and optimization. Designed specifically for advanced high school and university students, this masterclass in mathematical analysis bridges the gap between abstract theory and real-world application. Written by the esteemed Professor Lev Elsgolts a pioneer whose research shaped modern mathematical analysis this definitive textbook delves into the two most critical pillars of advanced math: differential equations and the calculus of variations.

The journey begins in the first section, where you will master the theory of differential equations, discover reliable integration methods, and learn how to rigorously investigate complex solutions. The second section invites you into the elegant world of the calculus of variations, equipping you with cutting-edge techniques to solve intricate optimization problems. What truly sets this work apart is its hands-on philosophy; it is packed with a rich array of fully worked examples and practical problems that vividly demonstrate how mathematical theory breathes life into physics and mechanics.

Whether you are an ambitious student preparing for higher-level studies or an expert mathematician seeking a master's enduring perspective, this book offers a timeless roadmap to mathematical discovery.

About Author 

at Lev Elsgolts (deceased) was a doctor of Physico-Mathematical Sciences, Pro-the Patrice fessor Lumumba University of Friendship of Peoples. His research work was dedicated to the calculus of variations and differential equations. He worked out the theory of differential equations with deviating arguments and supplied methods for their solution.

Lev Elsgolts was the author of many printed works. Among others, he wrote the well-known books "Qualita-tive Methods in Mathemati-cal Analysis" and "Introduc-tion to the Theory of Differ-ential Equations with Deviat-ing Arguments".