Calculus and mathematical analysis Books

Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of...

Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and...

Through four editions this popular textbook attracted a loyal readership and widespread use. Students find the book to be concise, accessible, and complete. Instructors find the book to be clear, authoritative, and dependable. The primary goal of this...

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point...

This textbook is written for the first introductory course on scientific computing. It covers elementary numerical methods for linear systems, root finding, interpolation, numerical integration, numerical differentiation, least squares problems, initial...

This book presents an analytical treatment of the principles of dynamics. As with any other physical science, dynamics involves a mathematical description of the subject. Thus, this book develops the study of differential equations in dynamics in a...

This pioneering text on harmonic functions and linear differential equations is essential reading for anyone interested in the history of mathematics. Bocher's elegant treatments of regular singularities and asymptotic expansions are combined with her...

Lebesgue a enseigné ces leçons pour expliquer les concepts clés de l'intégration et la recherche des fonctions primitives. Un classique important de la littérature mathématique.This work has been selected by scholars as being culturally important, and is...

This advanced text explores the mathematical field of interpolation theory, including both finite and infinite dimensions. Written by T.N. Thiele, a noted Danish mathematician, this book is an essential resource for graduate students and researchers in...

This book by the French mathematician Henri Poincaré is a seminal work in the theory of elliptic functions, a special class of mathematical functions that appear in many areas of physics and engineering, such as quantum mechanics, fluid dynamics, and...

Dieses Handbuch bietet einen umfassenden Überblick über die Theorie der Kugelfunktionen und ihre Anwendungen in der Mathematik und Physik. Der Autor gibt eine detaillierte Einführung in die wichtigsten Ergebnisse und Methoden der Kugelfunktionen und...

Smail's groundbreaking work on mathematical theory offers a number of insights and novel ideas for the study of divergent series. His innovative approach to this problem has established him as one of the leading voices in the field, and this book is...

Fricke's groundbreaking study of the theory of elliptic modular functions is a must-read for anyone interested in the foundations of modern mathematics. With clear explanations and insightful examples, Fricke offers a comprehensive overview of this...

Ce livre de maths classique d'Emile Borel explore les fonctions entières, connues sous le nom de fonctions holomorphes. Il explore les concepts mathématiques de base et offre une perspective historique sur les développements de cette branche fascinante...

Ernesto Pascal's mathematical treatise on the calculus of variations is a comprehensive guide to this important field of study. With detailed explanations and useful examples, this book offers readers a valuable resource for further exploration and...

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 is in the "public domain in the United States of America, and possibly other nations. Within the United...

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 is in the "public domain in the United States of America, and possibly other nations. Within the United...

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 is in the "public domain in the United States of America, and possibly other nations. Within the United...

The present monograph is devoted to the complex theory of differential equations. Not yet a handbook, neither a simple collection of articles, the book is a first attempt to present a more or less detailed exposition of a young...

In January 1992, the Sixth Workshop on Optimization and Numerical Analysis was held in the heart of the Mixteco-Zapoteca region, in the city of Oaxaca, Mexico, a beautiful and culturally rich site in ancient, colonial and...

The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies...

These Proceedings contain selected original papers by the speakers invited to the Seminar on Deformations, organized in 1988/92 by Julian Lawrynowicz (L6di), whose most fruitful parts took place in 1988 in E6di, Paris and...

On the occasion of the 150th anniversary of Sophus Lie, an International Work­ shop "Modern Group Analysis: advanced analytical and computational methods in mathematical physics" has been organized in Acireale (Catania, Sicily,...

This book aims to present, in a unified approach, a series of mathematical results con­ cerning triangular norm-based measures and a class of cooperative games with Juzzy coalitions. Our approach intends to emphasize that...

0.1 The partial differential equation (1) (Au)(x) = L aa(x)(Dau)(x) = f(x) m lal9 is called elliptic on a set G, provided that the principal symbol a2m(X,€) = L aa(x)€a lal=2m of the operator A is invertible on G X (~n \ 0); A...

This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of...

Fundamentals of Convex Analysis offers an in-depth look at some of the fundamental themes covered within an area of mathematical analysis called convex analysis. In particular, it explores the topics of duality, separation, ...

The theory of difference equations is now enjoying a period of Renaissance. Witness the large number of papers in which problems, having at first sight no common features, are reduced to the investigation of subsequent...

Integration in infinitely dimensional spaces (continual integration) is a powerful mathematical tool which is widely used in a number of fields of modern mathematics, such as analysis, the theory of differential and integral...

by spin or (spin s = 1/2) field equations is emphasized because their solutions can be used for constructing solutions of other field equations insofar as fields with any spin may be constructed from spin s = 1/2 fields. A...

Spline functions entered Approximation Theory as solutions of natural extremal problems. A typical example is the problem of drawing a function curve through given n + k points that has a minimal norm of its k-th derivative...

The aim of this book is to give a self-contained introduction to the mathe­ matical analysis and physical explanations of some basic nonlinear wave phe­ nomena. This volume grew out of lecture notes for graduate courf;!es which...

During the last twenty-five years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive operators. In...

Many important phenomena are described and modeled by means of differential and integral equations. To understand these phenomena necessarily implies being able to solve the differential and integral equations that model them...

'Et moi, ... , si j'avait su comment. One service mathematics has ren­ en revenir, je n'y serais point alle'. dered the human race. It has put common sense back where it be­ Jules Verne longs, on the topmost shelf next to the...

"Et moi9 .. ,' si j*avait su comment en revenir, je One service mathematics has rendered the n 'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty...

tEl moi, "0, si j'avait su comment en revenir, je One service mathematics has rendered the n 'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty...

This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed in modern physics, the spectral theory of operators, approximation of...

One service mathematics has rendered the 'Et moi, ... , si j'avait Sil comment en revenir, je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty...

One service mathematics has rendered the ~l moil ... , Ii j'avait su comment en revenir, je n'y serais point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty...

'Et moi, ... , si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point a1Ie.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty...

to Electromagnetic Inverse Scattering by K. I. Hopcraft Department of Theoretical Mechanics, University of Nottingham, Nottingham, U. K. and P. R. Smith Department of Electronic and Electrical Engineering, University of...

'Et mai •...• si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty...

One service mathematics has rendered the "Et moi, "'f si favait su comment en revenir. je n 'y serais point alleC human raoe. It hat put common sense back where it belongs. on the topmost shelf next Jules Verne to the dusty...

'Et mm. ... , si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point all':'' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf IIClI.t to the...

'Et moi • .... si favait su comment en revenir. One service mathematics bllS rendered the je n'y serais point aile.' human race. It hal put common sense back Jules Verne where it bdongs, on the topmost shelf next to the dusty...