Kalkyl & matematisk analys

This book introduces readers to¿theories that play a crucial¿role in modern mathematics, such as integration and¿functional analysis,¿employing¿a unifying approach that¿views¿these two subjects as¿being¿deeply intertwined. This feature is particul...

Läs mer »

From the reviews of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equ...

Läs mer »

Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) with ordinary calculus, resulting in a tool that has been of central importance to science for more than 200 years. This book brings this ...

Läs mer »

Understanding Real Analysis, Second Edition offers substantial coverage of foundational material and expands on the ideas of elementary calculus to develop a better understanding of crucial mathematical ideas. The text meets students at their curr...

Läs mer »

This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs.¿It is organized in a distinctive, flexible way that would make it equally...

Läs mer »

An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using...

Läs mer »

Boken är den första i en serie om tre och omfattar den matematik som brukar tas upp i inledande kurser på tekniska högskolor: matematikens byggstenar och struktur, funktionsbegrepp, exponential- och logaritmfunktioner, trigonometriska funktioner o...

Läs mer »

Geometric Measure Theory: A Beginner's Guide, Fifth Edition provides the framework readers need to understand the structure of a crystal, a soap bubble cluster, or a universe. The book is essential to any student who wants to learn geometric measu...

Läs mer »

This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the analytic theory of con...

Läs mer »

This book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations - so-called phase portraits - which visualize functions as images on their domains. Reading...

Läs mer »

Currently, nonstandard analysis is barely considered in university teaching. The author argues that nonstandard analysis is valuable not only for teaching, but also for understanding standard analysis and mathematics itself. An axiomatic approach ...

Läs mer »

Straightforward and easy to read, DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 9E, INTERNATIONAL METRIC EDITION gives you a thorough overview of the topics typically taught in a first course in Differential Equations as well as an introduc...

Läs mer »

Learn everything you need to know about Calculus and practice your reasoning and practical skills with a high-end textbook suitable for a wide range of course levels. Calculus: A Complete Course, 10th Edition by Robert Adams and Christopher Essex ...

Läs mer »

This book's aim is to provide the reader with a basic understanding of Fourier series and transforms, and Laplace transforms. It is based on the authors' notes for a one semester course. Prerequisites are a basic course in both calculus and linear...

Läs mer »

This book is written by award-winning author, Frank Morgan. It offers a simple and sophisticated point of view, reflecting Morgan's insightful teaching, lecturing, and writing style. Intended for undergraduates studying real analysis, this book bu...

Läs mer »

This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to stud...

Läs mer »

The aim of this book is to give an understandable introduction to the the ory of complex manifolds. With very few exceptions we give complete proofs. Many examples and figures along with quite a few exercises are included. Our intent is to familia...

Läs mer »

Denna bok är avsedd att användas i en första kurs i matematisk analys i flera reella variabler. Den förutsätter då kunskaper i matematisk analys i en reell variabel samt elementär linjär algebra. Boken innehåller en stor mängd övningar i slutet av...

Läs mer »

I den här boken presenteras problem för olika målgrupper. Den centrala idén bakom boken tar sig uttryck i på det sätt som problemen är uppbyggda. Varje problem är uppdelat i en sekvens av delproblem som mynnar ut i en mer öppen frågeställning, sjä...

Läs mer »

The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly usef...

Läs mer »

Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mat...

Läs mer »

Tips, tricks and lots of practice to help students get a handle on these complex calculus problems Pre-calculus classes prepare students for studies in calculus and other advanced Differential equations are essential in physics, economics, enginee...

Läs mer »

The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and develo...

Läs mer »

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are ...

Läs mer »