Can I read Lectures on the Calculus of Variations on EtoBox?

Lectures on the Calculus of Variations by Oskar Bolza is a nonfiction available to read on EtoBox.

What is Lectures on the Calculus of Variations about?

Title page Preface CHAPTER I: THE FIRST VARIATION OF THE INTEGRAL 1. Introduction 2. Agreements concerning Notation and Terminology 3. General Formulation of the Problem 4. Vanishing of the First Variation 5. The Fundamental Lemma and Euler's Differential Equation 6. Du Bois-Reymond's and Hilbert's Proofs of Euler's Differential Equation 7. Miscellaneous Remarks concerning the Integration of Euler's Differential Equation 8. Weierstrass's Lemma and the E-function 9. Discontinuous Solutions 10. Boundary Conditions CHAPTER II: THE SECOND VARIATION OF THE INTEGRAL ll. Legendre's Condition 12. Jacobi's Transformation of the Second Variation 13. Jacobi's Theorem 14. Jacobi's Criterion 15. Geometrical Interpretation of the Conjugate Points 16. Necessity of Jacobi's Condition CHAPTER III: SUFFICIENT CONDITIONS FOR AN EXTREMUM OF THE INTEGRAL 17. Sufficient Conditions for a Weak Minimum 18. Insufficiency of the Preceding Three Oonditions for a Strong Minimum, and Fourth Necessary Condition 19. Existence of a Field of Extremals 20. Weierstrass's Theorem 21. Hilbert's Proof of Weierstrass's Theorem 22. Sufficient Conditions for a Strong Minimum 23. The Case of Variable End-Points CHAPTER IV:

Who reads Lectures on the Calculus of Variations?

Author

Oskar Bolza

Publisher

University of Chicago

Published

1904

Language

EN

Category

nonfiction

Subjects

Mathematics, Stem