all ebooks in category: Mathematical Analysis (45)

Fourier Analysis: An Introduction

The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. …

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Quaternionic de Branges Spaces and Characteristic Operator Function

This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions …

KP Solitons and the Grassmannians: Combinatorics and Geometry of Two-Dimensional Wave Patterns (Repost)

This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the …

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Differential Forms

"Guillemin and Haine’s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, …

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Mathematical Methods for Physics and Engineering: A Comprehensive Guide [Repost]

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical …

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Additive Combinatorics

Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years …

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Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantu Ed 2

The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those …

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Ordinary Differential Equations : Example-driven, Including Maple Code

This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer …

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Stochastic Modeling: Analysis and Simulation

A coherent introduction to the techniques for modeling dynamic stochastic systems, this volume also offers a guide to the mathematical, numerical, and simulation tools of …

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Navier–Stokes Equations: An Introduction with Applications (Repost)

This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to …

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