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Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrödinger EquationsApplied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrödinger Equations 
by Samuel S. Holland, Jr.
Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.

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Theoretical Numerical Analysis: An Introduction to Advanced TechniquesTheoretical Numerical Analysis: An Introduction to Advanced Techniques 
by Peter Linz
Concise text focuses on fundamentals of functional analysis and approximation theory, the major results of theoretical numerical analysis; and specific topics that illustrate the power and usefulness of theoretical analysis. 1979 edition.


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Functions of a Complex VariableFunctions of a Complex Variable 
by James Pierpont
A thorough treatment of fundamental elements, concepts, and theorems pertaining to the function of a complex variable, this rigorous treatment is suitable for advanced mathematics students, physicists, and engineers. 1914 edition.

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Methods of Numerical Integration: Second EditionMethods of Numerical Integration: Second Edition 
by Philip J. Davis, Philip Rabinowitz
Requiring only a background in calculus, this text covers approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. 1984 edition.

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Summation of SeriesSummation of Series 
by L.B. W. Jolley
More than 1,200 common series appear here. Collected, summed, and grouped for easy reference, they constitute an immensely useful handbook for mathematicians, physicists, computer technicians, engineers, and students.


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Iterative Solution of Large Linear SystemsIterative Solution of Large Linear Systems 
by David M. Young
Includes a review of matrix theory and iterative methods; successive overrelaxation (SOR) method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; more. 1971 edition.


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Analysis of Numerical MethodsAnalysis of Numerical Methods
by Eugene Isaacson, Herbert Bishop Keller
Excellent advanced-undergraduate and graduate text covers norms, numerical solutions of linear systems and matrix factoring, eigenvalues and eigenvectors, polynomial approximation, much more. Features examples and problems. 1966 edition. Bibliography.



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Applied AnalysisApplied Analysis
by Cornelius Lanczos
Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.



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Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrödinger EquationsApplied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrödinger Equations
by Samuel S. Holland, Jr.
Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.


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Applied Iterative MethodsApplied Iterative Methods
by Louis A. Hageman, David M. Young
This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. 1981 edition. Includes 48 figures and 35 tables.



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Counterexamples in AnalysisCounterexamples in Analysis
by Bernard R. Gelbaum, John M. H. Olmsted
These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.


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A Course in Mathematical Analysis Volume 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to GeometryA Course in Mathematical Analysis Volume 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry
by Edouard Goursat, Earle Raymond Hedrick
This classic three-volume study presents a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition.


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A Course in Mathematical Analysis Volume 2: Functions of a Complex Variable; Differential EquationsA Course in Mathematical Analysis Volume 2: Functions of a Complex Variable; Differential Equations
by Edouard Goursat, Earle Raymond Hedrick, Otto Dunkel
This classic three-volume study presents a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition.


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A Course in Mathematical Analysis Volume 3: Variation of Solutions; Partial Differential Equations of the Second Order; Integral Equations; Calculus of VariationsA Course in Mathematical Analysis Volume 3: Variation of Solutions; Partial Differential Equations of the Second Order; Integral Equations; Calculus of Variations
by Edouard Goursat, Howard G. Bergmann
This classic three-volume study presents a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition.


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A First Course in Numerical Analysis: Second EditionA First Course in Numerical Analysis: Second Edition
by Anthony Ralston, Philip Rabinowitz
Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.


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Foundations of Analysis: Second EditionFoundations of Analysis: Second Edition
by David F Belding, Kevin J Mitchell
Unified and highly readable, this introductory approach develops the real number system and the theory of calculus, extending its discussion of the theory to real and complex planes. 1991 edition.


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Functions of a Complex VariableFunctions of a Complex Variable
by James Pierpont
A thorough treatment of fundamental elements, concepts, and theorems pertaining to the function of a complex variable, this rigorous treatment is suitable for advanced mathematics students, physicists, and engineers. 1914 edition.


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The General Theory of Dirichlet's SeriesThe General Theory of Dirichlet's Series
by G. H. Hardy, Marcel Riesz
This classic work by two distinguished mathematicians explains theory and formulas behind Dirichlet's series and offers first systematic account of Riesz's theory of summation of series by typical means. 1915 edition.



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Interpolation: Second EditionInterpolation: Second Edition
by J. F. Steffensen
In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines." Topics include displacement symbols and differences, divided differences, formulas of interpolation, much more. 1950 edition.



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Introduction to Numerical Analysis : Second EditionIntroduction to Numerical Analysis : Second Edition
by F. B. Hildebrand
Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.


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Introductory Numerical AnalysisIntroductory Numerical Analysis
by Anthony J. Pettofrezzo
Written for undergraduates who require a familiarity with the principles behind numerical analysis, this classical treatment encompasses finite differences, least squares theory, and harmonic analysis. Over 70 examples and 280 exercises. 1967 edition.



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Iterative Solution of Large Linear SystemsIterative Solution of Large Linear Systems
by David M. Young
Includes a review of matrix theory and iterative methods; successive overrelaxation (SOR) method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; more. 1971 edition.



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Methods of Numerical Integration: Second EditionMethods of Numerical Integration: Second Edition
by Philip J. Davis, Philip Rabinowitz
Requiring only a background in calculus, this text covers approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. 1984 edition.


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Numerical MethodsNumerical Methods
by Germund Dahlquist, Åke Björck
Practical text strikes balance between students' requirements for theoretical treatment and the needs of practitioners, with best methods for both large- and small-scale computing. Many worked examples and problems. 1974 edition.



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Numerical Methods for Scientists and EngineersNumerical Methods for Scientists and Engineers
by Richard Hamming
This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, other topics. Revised and enlarged 2nd edition.


 


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