Two-Point Boundary Value Problems (Mathematics in Science and Engineering, #205)
by De Coster Colette, C De Coster, and P Habets
This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications...
Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011 Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems. Current analytical solutions of equations within mathematical physics fail completely to meet boundary conditions of the second and third kind, and are wholly obtained by the defunct theory of s...
Scientific Computing and Differential Equations
by Gene H. Golub and James M Ortega
Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context. This book is appropriate for upper undergraduate cou...
Differential Equations And Their Applications: Analysis From A Physicist's Viewpoint
by Noboru Nakanishi and Kenji Seto
This book is written for students and researchers who are fond of mathematics and the natural sciences. It consists of two parts. Part I presents the theory of analysis in which the mathematical theory is described not as an accomplished palace, but as a building under construction. It uncovers how a theory has been or is being constructed. In Part II, the theory of differential equations is applied to interesting practical problems, such as pursuit-line and tractrix, attack on an object from an...
This guide provides a roadmap for students transitioning from an undergraduate mathematics curriculum and degree into a graduate mathematics curriculum and program. It discusses a selection of concepts and ideas that are central in mathematics and found in a wide range of areas ranging from pure to applied mathematics developing the readers' self-reliance and independence as mathematical thinkers.
Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap. The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional...
Laplace Transforms and Their Applications to Differential Equations (Dover Books on Mathematics)
by Nw McLachlan
Planners 2018-2019 (Academic Calendar 2018-2019 Daily Weekly and Monthly Planner, #2)
by Mae J Moscato
200 Multiplication Worksheets with 5-Digit Multiplicands, 4-Digit Multipliers (200 Days Math Multiplication, #14)
by Kapoo Stem
Nonlinear Dynamics and Chaos, 2nd ed. SET with Student Solutions Manual
by Steven H. Strogatz
Steven H. Strogatz's Nonlinear Dynamics and Chaos, second edition, is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, c...
Integration Theory (Chapman Hall/CRC Mathematics, #14)
by Wolfgang Filter and Karl Weber
This introductory text acts as a singular resource for undergraduates learning the fundamental principles and applications of integration theory.Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures, elements of the theory of real functions on R.
The Moment-SOS hierarchy is a powerful methodology that is used to solve the Generalized Moment Problem (GMP) where the list of applications in various areas of Science and Engineering is almost endless. Initially designed for solving polynomial optimization problems (the simplest example of the GMP), it applies to solving any instance of the GMP whose description only involves semi-algebraic functions and sets. It consists of solving a sequence (a hierarchy) of convex relaxations of the initial...
Nonlocal Nonlinear Fractional-order Boundary Value Problems
by Bashir Ahmad and Sotiris Ntouyas
There has been a great advancement in the study of fractional-order nonlocal nonlinear boundary value problems during the last few decades. The interest in the subject of fractional-order boundary value problems owes to the extensive application of fractional differential equations in many engineering and scientific disciplines. Fractional-order differential and integral operators provide an excellent instrument for the description of memory and hereditary properties of various materials and pro...
Half-Linear Differential Equations (North-Holland Mathematics Studies, #202)
by Ondrej Doly and Ondrej Dosly
The book presents a systematic and compact treatment of the qualitative theory of half-linear differential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contain...
100 Worksheets - Identifying Places with 6 Digit Numbers (100 Days Math Identify Place, #5)
by Kapoo Stem
Single Variable Calculus (de Gruyter Textbook)
by Galina Filipuk and Andrzej Kozlowski
A computer algebra system such as Mathematica is able to do much more than just numerics: This text shows how to tackle real mathematical problems from basic analysis. The reader learns how Mathematica represents domains, qualifiers and limits to implement actual proofs - a requirement to unlock the huge potential of Mathematica for a variety of applications.
Ordinary Differential Equations, Solutions Manual
by Michael D. Greenberg
100 Worksheets - Identifying Places with 3 Digit Numbers (100 Days Math Identify Place, #2)
by Kapoo Stem
Basic Theory of Fractional Differential Equations (Second Edition)
by Yong Zhou and Jinrong Wang Zhang