Edouard Goursat's three-volume A Course in Mathematical Analysis remains a classic study and 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. Subjects in this, the second of the th... read more
Calculus: Problems and Solutions by A. Ginzburg Ideal for self-instruction as well as for classroom use, this text improves understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. Over 1,200 problems, with hints and complete solutions. 1963 edition.
Modern Calculus and Analytic Geometry by Richard A. Silverman Highly readable, self-contained text provides clear explanations for students at all levels of mathematical proficiency. Over 1,600 problems, many with detailed answers. Corrected 1969 edition. Includes 394 figures. Index.
Foundations of Mathematical Analysis by Richard Johnsonbaugh, W.E. Pfaffenberger Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.
Complex Variables: Second Edition by Stephen D. Fisher Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.
Edouard Goursat's three-volume A Course in Mathematical Analysis remains a classic study and 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. Subjects in this, the second of the three volumes, begin with functions of a complex variable and elements of the theory; the general theory of analytic functions according to Cauchy; single-valued analytic functions; analytic extension; and analytic functions of several variables. The second part of this volume covers differential equations, including elementary methods of integration; existence theorems; linear and non-linear differential equations; and partial differential equations of the first order. The preceding volume in this series addresses applications to geometry, expansion in series, definite integrals, and derivatives and differentials; the succeeding volume explores variations of solutions, partial differential equations of the second order, integral equations, and calculus of variations.
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