Calculus and mathematical analysis Books

This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral...

An introduction to the variational methods used to formulate and solve mathematical and physical problems, allowing the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in...

This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry. For that material, the...

The purpose of this book is to communicate some of the recent advances in this field while preparing the reader for more advanced study. The material can be roughly divided into three different types: classical, standard but...

This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow,...

This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further...

Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and...

This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including...

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations.  This self-contained monograph explores all aspects of...

Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied...

This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J...

Enlarged, updated, and extensively revised, this second edition illuminates specific problems of nonlinear elasticity, emphasizing the role of nonlinear material response. Opening chapters discuss strings, rods, and shells, and...

The International Symposium on Generalized Functions and Their Applications was organized by the Department of Mathematics, Banaras Hindu University, and held December 23-26, 1991, on the occasion of the Platinum Jubilee...

In the few years since their appearance in the mid-sixties, variational inequalities have developed to such an extent and so thoroughly that they may now be considered an "institutional" development of the theory of ...

In this easily-accessible textbook, the authors integrate the ill-posed problem theory and its underlying mathematical apparatus. This comprehensive work includes descriptions of recent results and a presentation of actual...

""A Treatise On The Differential And Integral Calculus: And On The Calculus Of Variations"" is a comprehensive mathematical textbook written by Edward Henry Courtenay and first published in 1868. The book covers various topics related to calculus,...

""A Treatise On The Calculus Of Variations: Arranged With The Purpose Of Introducing Its Principles To The Reader By Means Of Problems"" is a book written by Lewis Buffett Carll and published in 1885. The book provides a comprehensive introduction to the...

""A Treatise On The Calculus Of Finite Differences"" is a mathematical book written by George Boole and published in 1860. The book focuses on the calculus of finite differences, which is a mathematical technique used to study discrete changes in a...

""A Treatise On Problems Of Maxima And Minima, Solved By Algebra"" is a mathematical text written by Ramchundra and originally published in 1859. The book focuses on the principles of maxima and minima, which are key concepts in calculus and optimization...

A Treatise On Plane Trigonometry: Containing An Account Of Hyperbolic Functions, With Numerous Examples (1888) is a comprehensive book on the subject of plane trigonometry written by John Casey. The book covers a wide range of topics related to plane...

A Short Treatise On The Principles Of The Differential And Integral Calculus (1829) is a mathematical book written by Baden Powell. The book provides a comprehensive introduction to the principles of differential and integral calculus, which are...

""A Short Table of Integrals"" is a mathematical reference book written by Benjamin Osgood Peirce and first published in 1910. The book is a compilation of integrals, or mathematical expressions that represent the area under a curve, arranged in a...

Dieses Buch beschäftigt sich mit der Anwendung von elliptischen Funktionen auf konforme Abbildungen. Conrad Brandenberger zeigt, wie einige schwierige Konstruktionsprobleme mithilfe von elliptischen Funktionen gelöst werden können. Das Buch ist von...

Précis élémentaire de la théorie des fonctions elliptiques avec les tables numériques et applications est un livre de mathématiques écrit par Lucien Lévy. Ce livre est destiné aux mathématiciens professionnels et aux étudiants de mathématiques avancées,...

This classic text on logarithmic tables is an essential resource for anyone working in mathematics, science, or engineering. Peter Gray's clear and concise guide provides step-by-step instructions on how to use logarithms and anti-logarithms to solve...

This fascinating and comprehensive treatise on conic-sections, fluxions, and fluents offers a wealth of information and insights on these important mathematical concepts. With numerous examples and practical applications, this book is an important...

Dans cet ouvrage, Joseph Bertrand présente un traité complet sur le calcul différentiel et intégral. Les mathématiques sont présentées de manière claire et précise pour le lecteur débutant comme pour l'expert en la matière.This work has been selected by...

Questo libro propone un vasto assortimento di esercizi di calcolo infinitesimale, suddivisi per area tematica, dalle funzioni alle equazioni differenziali. Ogni esercizio è accompagnato da note teoriche e suggerimenti critici sulla soluzione, per aiutare...

Master the tools and techniques of mathematical physics with this comprehensive guide. Jeffrey's clear explanations and worked examples make even the most abstract concepts accessible to students and researchers alike. Topics covered include wave...

Cet ouvrage traite de l'utilisation des intégrales analogues à celles de Cauchy pour résoudre des problèmes en physique mathématique, tels que la propagation des ondes ou la thermodynamique.This work has been selected by scholars as being culturally...

Publiées en 1907, ces leçons de Jacques Hadamard et Maurice Fréchet font autorité dans leur domain. Elles couvrent la théorie des variations et ses applications sur le premier ordre et le secondordre ainsi quesur la théorie de Jacobi.This work has been...

Ce livre est une introduction claire et concise à la théorie des équations aux dérivées partielles. Il est destiné aux étudiants et aux chercheurs en mathématiques et en sciences appliquées. Avec des exemples pratiques et des exercices résolus, ce livre...

Sur les Équations Intégro-différentielles Définissant des Fonctions de Lignes est un livre sur les équations différentielles, un domaine mathématique complexe mais crucial. Paul Lévy offre une explication détaillée des équations intégro-différentielles...

This book covers differential and integral calculus as well as the calculus of variations. It is a comprehensive and exhaustive treatise on the subject.This work has been selected by scholars as being culturally important, and is part of the knowledge...

Dieses Buch ist ein klassisches Lehrbuch der Analysis und setzt sich mit der Theorie der reellen Funktionen auseinander. Hans Hahn, einer der Begründer des Wiener Kreises und der Mathematischen Grundlagenforschung, legt hier eine grundlegende Darstellung...

This collection of problems and exercises in differential and integral calculus is a classic text of mathematical pedagogy. Compiled by the German mathematicians Hermann Amstein and Ludwig Adolph Sohncke, the book presents a series of increasingly...

Dieses Buch bietet eine einführende Betrachtung der Funktionentheorie, einem zentralen Bereich der Mathematik, der sich mit den Eigenschaften von Funktionen auseinandersetzt. Durch eine detaillierte Untersuchung von Grundkonzepten wie der Ableitung und...

This book is an application of differential and integral calculus to the general theory of surfaces and lines. It is an important study of the history of mathematics and the development of calculus.This work has been selected by scholars as being...

Written by a renowned mathematician, Theory of Differential Equation is a comprehensive guide to the theory and applications of differential equations. With clear explanations and numerous examples, this book is appropriate for anyone with a basic...

Isaac Todhunter's "A Treatise on the Differential Calculus" is an essential guide for anyone learning this complex mathematical concept. Packed with numerous examples, Todhunter's book provides a clear and concise explanation of the differential calculus...

Dieses Lehrbuch zur Differential- und Integralrechnung richtet sich an alle Studenten und Schüler, die sich mit diesem mathematischen Gebiet beschäftigen. Es fokussiert insbesondere auf die Integralrechnung und bietet zahlreiche Beispiele zur Vertiefung...

This textbook provides an introduction to differential and integral calculus, with a focus on applications in engineering. The book includes numerous examples and exercises, as well as a range of appendices covering topics like mathematical tables and...

Questo libro scientifico è un testo ben noto su serie di Fourier ed altre rappresentazioni analitiche delle funzioni di uno spazio a una dimensione. Scritto dal matematico italiano Ulisse Dini, il libro è una fonte importante per lo studio dell'Analisi...

In diesem Buch beschäftigt sich der Autor mit einer bestimmten Art von partiellen Differentialgleichungen, nämlich der Gleichung Δvk = v. Er untersucht die Eigenschaften dieser Gleichung, die in der mathematischen Physik und anderen Bereichen der...

Integrationsformeln gehören zu den fundamentalen Konzepten der Analysis und finden in zahlreichen mathematischen Anwendungen Verwendung. Meyer Hirsch bietet in diesem Buch eine umfassende Sammlung von Integraltafeln und Formeln, die es dem Leser...

This comprehensive guide to vector analysis and its applications in infinitesimal geometry is a must-read for anyone working in the fields of mathematics or engineering. With detailed explanations and worked examples throughout, Fehr's book is an...