This text introduces linear and nonlinear problems and their associated models. The 1st part discusses linear systems, emphasizing perturbation or approximation techniques and asymptotic methods. The 2nd part comprises nonlinear problems, including weakly nonlinear oscillatory systems and nonlinear difference equations. 1990 edition. Includes exercises, 70 figures and 4 tables. Unabridged republication of the edition published by John Wiley & Sons, New York, 1990.
Mathematical Methods for Physicists and Engineers: Second Corrected Edition by Royal Eugene Collins Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.
Methods of Applied Mathematics by Francis B. Hildebrand Offering a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, this book explores linear algebraic equations, quadratic and Hermitian forms, the calculus of variations, more.
Mathematics for the Physical Sciences by Laurent Schwartz Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.
Fundamentals of Mathematical Physics by Edgar A. Kraut Indispensable for students of modern physics, this text provides the necessary background in mathematics to study the concepts of electromagnetic theory and quantum mechanics. 1967 edition.
Applied Nonlinear Analysis by Jean-Pierre Aubin, Ivar Ekeland This introductory text offers simple presentations of the fundamentals of nonlinear analysis, with direct proofs and clear applications. Topics include smooth/nonsmooth functions, convex/nonconvex variational problems, economics, and mechanics. 1984 edition.
Differential Forms by Henri Cartan The famous mathematician addresses both pure and applied branches of mathematics in a book equally essential as a text, reference, or a brilliant mathematical exercise. "Superb." — Mathematical Review. 1971 edition.
Kernel Functions and Elliptic Differential Equations in Mathematical Physics by Stefan Bergman, Menahem Schiffer Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.
