Calculus and mathematical analysis Books

<p><b><i>Differential Calculus for Beginners</i> by Alexander Knox is a beginner-friendly introduction to the principles and techniques of differential calculus, designed to help students build a strong foundation in this...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. ...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. ...

This book describes in detail the basic context of the Banach setting and the most important Lie structures found in finite dimension. The authors expose these concepts in the convenient framework which is a common context for projective and direct...

This book introduces calculus, and other key mathematical methods, to students from applied sciences. Special attention is paid to real-world applications, and for every concept, many concrete examples are provided.

The Summability of the Developments in Bessel Functions with Applications is a comprehensive study of the mathematical theory behind Bessel functions and offers an in-depth analysis of their summability. Charles Napoleon Moore provides a detailed...

Ferdinand Minding hat mit dieser Sammlung von Integraltafeln ein unverzichtbares Hilfsmittel für den Mathematik-Unterricht geschaffen. Die Tafeln bieten eine umfassende Übersicht über die wichtigsten Integralrechnungen und sind für Schüler und Lehrer...

Mathematical treatise on the calculus of differentials, published with two previously unpublished works by Gottfried Wilhelm Leibniz. A must-read for mathematicians and historians of science.This work has been selected by scholars as being culturally...

Dieses Buch enthält Vorlesungen über die Theorie der Differential- und Integralrechnung, was eine grundlegende mathematische Disziplin ist. Emanuel Czuber geht auf alle wichtigen Themen dieser Disziplin ein und liefert zahlreiche Beispiele zur...

The integral calculus is one of the most important and fundamental concepts in mathematics, and this book provides a clear and comprehensive introduction to its principles and applications. Through numerous examples and exercises, readers will gain a...

Dieses Buch bietet eine moderne Einführung in die Theorie der linearen Differenzengleichungen. Es richtet sich an Studierende der Mathematik sowie an Forscher und Lehrende. Der Autor stellt die Grundlagen der linearen Differenzengleichungen vor und...

This classic text presents the fixed point theorem, one of the most powerful and important results in mathematics. Written in a clear and concise style, it is an essential resource for mathematics students and researchers alike.This work has been...

In this seminal work, mathematician Lloyd N. Trefethen explores the stability of numerical methods for solving partial differential equations. A must-read for anyone interested in numerical analysis and scientific computing.This work has been selected by...

This book presents a detailed study of divergent series and their summability. The author explores various methods for summability of divergent series, including Cesàro summation, Abel summation, and Borel summation. The book is suitable for advanced...

Ludwig Stickelberger beschäftigt sich in diesem Buch mit der Theorie der linearen Differentialgleichungen. Es ist eine anspruchsvolle Abhandlung, die von Interesse für Mathematiker und andere Wissenschaftler sein dürfte.This work has been selected by...

Dieses Lehrbuch bietet eine vollständige Einführung in die Differential- und Integralrechnung. Es wurde von drei prominenten europäischen Mathematiker des 19. Jahrhunderts verfasst und ist ein wichtiger Meilenstein der mathematischen Forschung. Es bietet...

A classic text on calculus, this book provides a comprehensive introduction to the principles of differential and integral calculus. Corridi's clear and concise explanations make the material accessible to students of all levels. With numerous exercises...

Questo volume presenta un'esaustiva trattazione del calcolo infinitesimale, dall'analisi delle funzioni alle derivate, all'integrazione, alle equazioni differenziali. Il testo include numerosi esempi e problemi, oltre a un'ampia gamma di esercizi...

This book provides a comprehensive explanation of the mathematical concept of fluxions, including its elements and its applications in various areas of mathematics and natural philosophy. It is an essential guide to anyone seeking to understand more...

Eine umfassende Darstellung der Funktionentheorie und der Theorie der elliptischen Funktionen. Mit detaillierten Beispielen und Erklärungen, bietet diese Vorlesungsserie einen Einblick in die grundlegenden Konzepte und Anwendungen und ist ein wertvolles...

Eine gründliche Einführung in die Theorie der elliptischen Funktionen, ihrer Anwendungen und ihrer Geschichte. Mit klaren Definitionen, Beispielen und Beweisen, ermöglicht dieses Buch ein tieferes Verständnis dieses wichtigen Zweigs der Mathematik und...

Discover the beauty and power of differential equations with this comprehensive textbook by mathematician Andrew Russell Forsyth. From initial value problems to boundary-value problems, Forsyth's clear and insightful explanations will guide readers...

This textbook offers a rigorous but accessible introduction to the theory of analytic functions. From the basics of complex analysis to the deep results of Riemann and Weierstrass, Morley and Harkness guide the reader through this challenging subject...

Ce livre est un classique de l'analyse mathématique, qui présente les principes fondamentaux du calcul différentiel et intégral, ainsi que des applications à la géométrie et à la physique.This work has been selected by scholars as being culturally...

Plongez dans l'univers des mathématiques avec ce traité d'analyse intégrale-simple et multiple. À travers l'étude de l'équation de Laplace et ses nombreuses applications, Émile Picard vous invite à une exploration inédite du monde mathématique au XIXe...

This reference book provides important mathematical formulae and tables of elliptic functions to help researchers and students solve mathematical problems.This work has been selected by scholars as being culturally important, and is part of the knowledge...

This classic work provides an introduction to the principles of differential and integral calculus for those with a basic understanding of algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of...

A comprehensive guide to mathematical analysis, including key concepts such as limits and derivatives. Suitable for students at both the undergraduate and graduate level.This work has been selected by scholars as being culturally important, and is part...

Revue sur la théorie des D-modules et modèles d'opérateurs pseudodifférentiells, A Survey on the Theory of D-modules. Models for Pseudodifferential Operators.- Fourier Transform and Differential Equations.- Excursions and Itô Calculus in Nelson's...

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as...

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as...

Tensor calculus is a generalization of vector calculus, and comes near of being a universal language in physics. Physical laws must be independent of any particular coordinate system used in describing them. This requirement leads to tensor calculus. The...

Introduction. General matters concerning integral equations. Demonstration of an integral equation solution. Classification of integral equations. Numerical solution. Elements of electrostatics and potential theory. Differential representation of...

Numerical bifurcation techniques for chemical reactor problems.- Path-following of large bifurcation problems with iterative methods.- On the bifurcation from continuous to segmented chip formation in metal cutting.- Using dynamical system tools in...

The radiation therapy planning problem.- Mathematical models for medical imaging.- Articles by Workshop Speakers.- Tomography through the transport equation.- A general framework for iterative reconstruction algorithms in optical tomography, using a...

A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, they...

1 Path Integrals and Stability.- 1.1 Introduction.- 1.2 Path Independence.- 1.3 Positivity of Quadratic Differential Forms.- 1.4 Lyapunov Theory for High-Order Differential Equations.- 1.5 The Bezoutian.- 1.5.1 The Routh Test.- 1.5.2 The Kharitonov...

Fast algorithms for solving electromagnetic scattering problems.- 2d photonic crystals with cubic structure: asymptotic analysis.- On waves in random media in the diffusion-approximation regime.- Coherent effects in scattering from bounded random systems...

Continuing the theme of the first, this second volume continues the study of the uses and techniques of numerical experimentation in the solution of PDEs. It includes topics such as initial-boundary-value problems, a complete...

Calculus and linear algebra are two dominant themes in contemporary mathematics and its applications. The aim of this book is to introduce linear algebra in an intuitive geometric setting as the study of linear maps and to use...

Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's...

From the Preface: "The material in this book is based on notes for a course which I gave several times at Brown University. The target of the course was juniors and seniors majoring in applied mathematics, engineering and other...

Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with...

Why This Book: The theory of von Neumann algebras has been growing in leaps and bounds in the last 20 years. It has always had strong connections with ergodic theory and mathematical physics. It is now beginning to make contact...

An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician. The author includes...

Wave propagation inverse problems in medicine and environmental health.- Variational structure of inverse problems in wave propagation and vibration.- Convergence of numerical methods for inverse problems with general input sources.- Topics in ocean...

The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in...