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Calculus and mathematical analysis Books

Calculus

Calculus of variations

Complex analysis, complex variables

Differential calculus and equations

Functional analysis and transforms

Integral calculus and equations

Numerical analysis

Real analysis, real variables

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Rigid Analytic Geometry and Its Applications

Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an...

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$129.00

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Approximation by Multivariate Singular Integrals

-1. Uniform Approximation by General Multivariate Singular Integral Operators(Introduction, Main Results, Applications, References). -2. Approximation by General Multivariate Singular Integral...

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$116.00

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Aspects of Calculus

This book is intended for students familiar with a beginner's version of differential and integral calculus stressing only manipulation offormulas and who are now looking for a closer study of basic...

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$116.00

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Fundamentals of Two-Fluid Dynamics

Two-fluid dynamics is a challenging subject rich in physics and prac tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential...

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$116.00

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Theorems and Problems in Functional Analysis

Even the simplest mathematical abstraction of the phenomena of reality the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic...

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$136.00

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Integration and Probability

An introduction to analysis with the right mix of abstract theories and concrete problems. Starting with general measure theory, the book goes on to treat Borel and Radon measures and introduces the...

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$119.00

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Differential and Riemannian Manifolds

This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I...

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$136.00

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The Parsimonious Universe

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$129.00

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Elementary Stability and Bifurcation Theory

This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it...

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$108.00

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Theory of Complex Functions

A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical...

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$149.00

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Functions of One Complex Variable II

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats...

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$82.00

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Weakly Differentiable Functions

The term "weakly differentiable functions" in the title refers to those inte n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP...

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$125.00

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Lectures on the Hyperreals

An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, or for self-study by anyone familiar with elementary...

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$119.00

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Fundamentals of Differential Geometry

This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new...

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$119.00

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A Brief on Tensor Analysis

In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated...

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$96.00

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A Short Introduction to Perturbation Theory for Linear Operators

This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132,...

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$140.00

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An Introduction to Hilbert Space and Quantum Logic

Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their ...

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$140.00

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Univalent Functions and Teichmuller Spaces

This monograph grew out of the notes relating to the lecture courses that I gave at the University of Helsinki from 1977 to 1979, at the Eidgenossische Technische Hochschule Zurich in 1980, and at...

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$140.00

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Modern Geometry - Methods and Applications

This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and...

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$136.00

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An Introduction to Complex Function Theory

This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it...

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$129.00

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An Introduction to Banach Space Theory

Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the...

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$150.00

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Introductory Functional Analysis

Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts...

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$140.00

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Topology, Calculus and Approximation

Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost...

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$65.00

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Hypergeometric Summation

Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple™.The algorithms of...

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$168.00

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Functional Analysis, Calculus of Variations and Optimal Control

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also...

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$163.00

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Complex Analysis and Differential Equations

This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and...

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$82.00

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Partial Differential Equations 2

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this second volume,...

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$140.00

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Partial Differential Equations 1

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.In this first volume,...

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$140.00

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Functional Spaces for the Theory of Elliptic Partial Differential Equations

The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is essential in this theory as a tool for...

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$129.00

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Ergodic Theory and Dynamical Systems

This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics.This book contains a broad...

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$168.00

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Lectures on Functional Analysis and the Lebesgue Integral

This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane...

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$151.00

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An Introduction to Laplace Transforms and Fourier Series

In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes...

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$63.00

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Mathematical Methods in Biology and Neurobiology

Mathematical models can be used to meet many of the challenges and opportunities offered by modern biology. The description of biological phenomena requires a range of mathematical theories. This is...

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$163.00

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Hypernumbers and Extrafunctions

"Hypernumbers and Extrafunctions" presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of...

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$122.00

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The Art of Proof

The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of...

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$71.00

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Advanced Mathematical Methods for Scientists and Engineers I

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed...

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$125.00

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Holomorphic Functions and Integral Representations in Several Complex Variables

The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental...

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$136.00

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An Introduction to Semiclassical and Microlocal Analysis

This book presents the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics in a pedagogical, way and is mainly addressed to non-specialists in the...

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$136.00

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Mathematical Principles of Signal Processing

From the reviews: "[...] the interested reader will find in Bremaud's book an invaluable reference because of its coverage, scope and style, as well as of the unified treatment it offers of (signal...

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$119.00

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Analysis for Applied Mathematics

This well-written book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics. It treats various practical methods for solving problems such as differential...

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$119.00

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Analysis on Fock Spaces

Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms "Hardy spaces" and "Bergman...

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$129.00

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An Introduction to Delay Differential Equations with Applications to the Life Sciences

This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary...

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$171.00

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The Theory of Differential Equations

For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an...

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$163.00

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Complex Analysis with Applications in Science and Engineering

The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent...

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$95.00

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Numerical Partial Differential Equations for Environmental Scientists and Engineers

For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere,...

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$184.00

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A Course in Robust Control Theory

During the 90s robust control theory has seen major advances and achieved a new maturity, centered around the notion of convexity. The goal of this book is to give a graduate-level course on this...

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$140.00

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Nonholonomic Mechanics and Control

This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian...

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$149.00

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Glimpses of Algebra and Geometry

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$108.00

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Calculus and mathematical analysis

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