# Science and Technics / Science / Mathematics / Mathematical Analysis

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### Math Common Core 1St Grade

#### by Speedy Publishing

Using the Math Common Core 1st Grade Study Guide will help you prepare your child for their math standardized test. The Study Guide will help you review the content that was covered during their math units,...

### Introduction to the Calculus of Variations

#### by Bernard Dacorogna

The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such...

### 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,...

### 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...

### 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....

### Ordinary Differential Equations with Applications

#### by Sze-Bi Hsu

During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential...

### An Introduction to Differential Equations: Stochastic Modeling, Methods and Analysis(Volume 2)

#### by Anil G Ladde & G S Ladde

Volume 1: Deterministic Modeling, Methods and Analysis

For more than half a century, stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the...

### Analytic Number Theory: An Introductory Course(Reprinted 2009)

#### by Paul T Bateman & HAROLD G DIAMOND

This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative...

### Introduction to the Fractional Calculus of Variations

#### by Agnieszka B Malinowska & Delfim F M Torres

This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems...

### 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...

### 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...

### Stochastic Modeling: Analysis and Simulation

#### by Barry L. Nelson

Coherent introduction to techniques also offers a guide to the mathematical, numerical, and simulation tools of systems analysis. Includes formulation of models, analysis, and interpretation of results. 1995...

### Mathematical Fallacies and Paradoxes

#### by Bryan Bunch

Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.

### Mathematics and the Physical World

#### by Morris Kline

Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics,...

### Analysis in Euclidean Space

#### by Kenneth Hoffman

Developed for a beginning course in mathematical analysis, this text focuses on concepts, principles, and methods, offering introductions to real and complex analysis and complex function theory. 1975 edition....