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Textbook of Mathematics 1 solved exercises

by Alessio Mangoni

This book wants to be a collection of solved math exercises suitable for students of high schools, high schools, science high school or even college students. The topics of the exercises are, in general: trigonometry,...


Asymptotic Methods in Analysis

by N. G. de Bruijn

This pioneering study/textbook in a crucial area of pure and applied mathematics features worked examples instead of the formulation of general theorems. Extensive coverage of saddle-point method, iteration,...


A Second Course in Complex Analysis

by William A. Veech

A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis...


Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills

by Paul J. Nahin

I used to think math was no fun

'Cause I couldn't see how it was done

Now Euler's my hero

For I now see why zero

Equals e[pi] i+1

--Paul Nahin, electrical engineer

In the mid-eighteenth century, Swiss-born mathematician...


Applied Nonstandard Analysis

by Martin Davis

Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques...


Formulary of mathematical analysis

by Alessio Mangoni

In this Formulary of Mathematical Analysis are presented the most important and useful formulas of analysis. The principal arguments are mathematical analysis and complex analysis. The last chapter is for constants...


An Elementary Treatise on Fourier's Series: and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical

by William Elwood Byerly

This classic text is one of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. Includes 190 problems, approximately half with answers. 1893...


Summation 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...


Schaum's Outline of Probability, Random Variables, and Random Processes, 3/E

by Hwei Hsu

Tough Test Questions? Missed Lectures? Not Enough Time?

Fortunately, there's Schaum's. This all-in-one-package includes more than 400 fully solved problems, examples, and practice exercises to sharpen your problem-solving...


Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188)

by Christopher D. Sogge

Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl...


Real Analysis

by Edward James McShane & Truman Arthur Botts

This text surveys practical elements of real function theory, general topology, and functional analysis. Discusses the maximality principle, the notion of convergence, the Lebesgue-Stieltjes integral, function...


Applied 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....


Mathematical Foundations of Quantum Mechanics

by George W. Mackey

This graduate-level text introduces fundamentals of classical mechanics; surveys basics of quantum mechanics; and concludes with a look at group theory and quantum mechanics of the atom. 1963 edition.


Iterative 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...


Variational Analysis: Critical Extremals and Sturmian Extensions

by Marston Morse

This text presents extended separation, comparison, and oscillation theorems that replace classical analysis. Its analysis of related quadratic functionals shows how critical extremals can substitute for minimizing...


How to Solve Mathematical Problems

by Wayne A. Wickelgren

Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems...


Introductory 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...


Journey into Mathematics: An Introduction to Proofs

by Joseph J. Rotman

This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.


Applied 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.


Introduction 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...