Handbook of Differential Equations e-bog

Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers.The book is a compilation of methods for solving and approximating differential equations. These include the most widely applicable methods for solving and approximating differential equations,a as well asa numerous methods. Topics include methods for ordinary differential equations, partial differential equations, stochastic differential equations, and systems of such equations. Included for nearly every method are:The types of equations to which the method is applicableThe idea behind the methodThe procedure for carrying out the methodAt least one simple example of the methodAny cautions that should be exercisedNotes for more advanced usersThe fourth edition includes corrections, many supplied by readers, as well as many new methods and techniques. These new and corrected entries make necessary improvements in this edition.