|Partial Differential Equations for Scientists and Engineers |
by Stanley J. Farlow
Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 edition.
|An Introduction to Differential Equations and Their Applications |
by Stanley J. Farlow
This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
|Differential Manifolds |
by Antoni A. Kosinski
Introductory text for advanced undergraduates and graduate students presents systematic study of the topological structure of smooth manifolds, starting with elements of theory and concluding with method of surgery. 1993 edition.
|Hilbert Space Methods in Partial Differential Equations |
by Ralph E. Showalter
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
|Advanced Calculus |
by H.K Nickerson, D.C. Spencer, N.E. Steenrod
Starting with an abstract treatment of vector spaces and linear transforms, this introduction presents a corresponding theory of integration and concludes with applications to analytic functions of complex variables. 1959 edition.
|Advanced Calculus: Second Edition |
by David V. Widder
Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.
|Advanced Calculus of Several Variables |
by C. H. Edwards, Jr.
Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.
|A Course in Advanced Calculus |
by Robert S. Borden
An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.
|Advanced Calculus |
by Avner Friedman
Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 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.
|Tensors, Differential Forms, and Variational Principles |
by David Lovelock, Hanno Rund
Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
|Introduction to Differentiable Manifolds |
by Louis Auslander, Robert E. MacKenzie
This text presents basic concepts in the modern approach to differential geometry. Topics include Euclidean spaces, submanifolds, and abstract manifolds; fundamental concepts of Lie theory; fiber bundles; and multilinear algebra. 1963 edition.
|Topological Vector Spaces and Distributions |
by John Horvath
Precise exposition provides an excellent summary of the modern theory of locally convex spaces and develops the theory of distributions in terms of convolutions, tensor products, and Fourier transforms. 1966 edition.
|Topological Vector Spaces, Distributions and Kernels |
by Francois Treves
Extending beyond the boundaries of Hilbert and Banach space theory, this text focuses on key aspects of functional analysis, particularly in regard to solving partial differential equations. 1967 edition.
|Vector Spaces and Matrices |
by Robert M. Thrall, Leonard Tornheim
Students receive the benefits of axiom-based mathematical reasoning as well as a grasp of concrete formulations. Suitable as a primary or supplementary text for college-level courses in linear algebra. 1957 edition.
|How to Solve Applied Mathematics Problems |
by B. L. Moiseiwitsch
This workbook bridges the gap between lectures and practical applications, offering students of mathematics, engineering, and physics the chance to practice solving problems from a wide variety of fields. 2011 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.
|Principles and Techniques of Applied Mathematics |
by Bernard Friedman
Stimulating study of how abstract methods of pure mathematics can solve problems in applied math. Solving integral equations, finding Green’s function, spectral representation of ordinary differential operators, more. Problems. Bibliography.
|Worked Problems in Applied Mathematics |
by N. N. Lebedev, Richard A. Silverman
These 566 problems plus answers cover a wide range of topics in an accessible manner, including steady-state harmonic oscillations, Fourier method, integral transforms, curvilinear coordinates, integral equations, and more. 1965 edition.
|Abstract Methods in Partial Differential Equations |
by Robert W. Carroll
Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 edition.
|Applied Partial Differential Equations |
by Paul DuChateau, David Zachmann
Book focuses mainly on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included.
|Basic Linear Partial Differential Equations |
by Francois Treves
Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Nearly 400 exercises. 1975 edition.
|Differential Equations with Applications |
by Paul D. Ritger, Nicholas J. Rose
Coherent introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and differences between linear and nonlinear systems. Answers to most problems.
|Ordinary Differential Equations |
by Morris Tenenbaum, Harry Pollard
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Explores integrating factors; dilution and accretion problems; Laplace Transforms; Newton's Interpolation Formulas, more.
|Ordinary Differential Equations in the Complex Domain |
by Einar Hille
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.
|Partial Differential Equations: Sources and Solutions |
by Arthur David Snider
This newly updated text explores the solution of partial differential equations by separating variables, reviewing the tools for the technique, and examining the algorithmic nature of the process. 1999 edition.