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Principal Solutions Of Ordinary Differential Equations In The Complex Domain
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Book Synopsis Principal Solutions of Ordinary Differential Equations in the Complex Domain by : Walter Strodt
Download or read book Principal Solutions of Ordinary Differential Equations in the Complex Domain written by Walter Strodt and published by American Mathematical Soc.. This book was released on 1957 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Principal Solutions of Ordinary Differential Equations in the Complex Domain by : Walter Strodt
Download or read book Principal Solutions of Ordinary Differential Equations in the Complex Domain written by Walter Strodt and published by . This book was released on 1966 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Principal Solutions of Ordinary Differential Equations in the Complex Domain by : Walter Strodt
Download or read book Principal Solutions of Ordinary Differential Equations in the Complex Domain written by Walter Strodt and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ordinary Differential Equations in the Complex Domain by : Einar Hille
Download or read book Ordinary Differential Equations in the Complex Domain written by Einar Hille and published by Courier Corporation. This book was released on 1997-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.
Book Synopsis Ordinary Differential Equations and Dynamical Systems by : Gerald Teschl
Download or read book Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl and published by American Mathematical Society. This book was released on 2024-01-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm–Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincaré–Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman–Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.
Book Synopsis Asymptotic Differential Algebra and Model Theory of Transseries by : Matthias Aschenbrenner
Download or read book Asymptotic Differential Algebra and Model Theory of Transseries written by Matthias Aschenbrenner and published by Princeton University Press. This book was released on 2017-06-06 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity. Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
Book Synopsis Contributions to the Asymptotic Theory of Ordinary Differential Equations in the Complex Domain by : Walter Charles Strodt
Download or read book Contributions to the Asymptotic Theory of Ordinary Differential Equations in the Complex Domain written by Walter Charles Strodt and published by American Mathematical Soc.. This book was released on 1954 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Isoclinic $n$-Planes in Euclidean $2n$-Space, Clifford Parallels in Elliptic $(2n-1)$-Space, and the Hurwitz Matrix Equations by : Yung-Chow Wong
Download or read book Isoclinic $n$-Planes in Euclidean $2n$-Space, Clifford Parallels in Elliptic $(2n-1)$-Space, and the Hurwitz Matrix Equations written by Yung-Chow Wong and published by American Mathematical Soc.. This book was released on 1961 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Invariants for Effective Homotopy Classification and Extension of Mappings by : Paul Olum
Download or read book Invariants for Effective Homotopy Classification and Extension of Mappings written by Paul Olum and published by American Mathematical Soc.. This book was released on 1961 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Classification of $G$-Spaces by : Richard S. Palais
Download or read book The Classification of $G$-Spaces written by Richard S. Palais and published by American Mathematical Soc.. This book was released on 1960 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Fourier and Geometric Analysis by : Victor L. Shapiro
Download or read book Topics in Fourier and Geometric Analysis written by Victor L. Shapiro and published by American Mathematical Soc.. This book was released on 1961 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Regular Mappings and the Space of Homeomorphisms on a 3-Manifold by : Mary-Elizabeth Hamstrom
Download or read book Regular Mappings and the Space of Homeomorphisms on a 3-Manifold written by Mary-Elizabeth Hamstrom and published by American Mathematical Soc.. This book was released on 1961 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lie Algebras and Lie Groups written by and published by American Mathematical Soc.. This book was released on 1955 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Mathematical Society, with the financial support of the National Science Foundation, held its First Summer Mathematical Institute from June 20 to July 31, 1953. The topic chosen was Lie theory, twenty-nine mathematicians active in this area attended. The six-week period provided opportunity both for the interchange of ideas and for the subsequent shaping of ideas into theorems. The five papers present some results achieved by the participants.--Foreword.
Book Synopsis A Panorama of Pure Mathematics, As Seen by N. Bourbaki by :
Download or read book A Panorama of Pure Mathematics, As Seen by N. Bourbaki written by and published by Academic Press. This book was released on 1982-08-18 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Panorama of Pure Mathematics, As Seen by N. Bourbaki
Book Synopsis Rendiconti del Seminario matematico della Università di Padova by : Università di Padova. Seminario matematico
Download or read book Rendiconti del Seminario matematico della Università di Padova written by Università di Padova. Seminario matematico and published by . This book was released on 1991 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Differential Equations in the Complex Domain by : Yoshishige Haraoka
Download or read book Linear Differential Equations in the Complex Domain written by Yoshishige Haraoka and published by Springer Nature. This book was released on 2020-11-16 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, deformation theory, and the theory of integral representations are comprehensively covered. Complete proofs are given, offering the reader a precise account of the classical and modern theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems. The prerequisites are a course in complex analysis and the basics of differential equations, topology and differential geometry. This book will be useful for graduate students, specialists in differential equations, and for non-specialists who want to use differential equations.
Book Synopsis Ordinary Differential Equations by : Edward Lindsay Ince
Download or read book Ordinary Differential Equations written by Edward Lindsay Ince and published by . This book was released on 1927 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: