Calculus Books
LEGARE STREET PR Traité De Calcul Différentiel Et De Calcul Intégral
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£26.55
LEGARE STREET PR The Principles of Elliptic and Hyperbolic Analysis
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£22.75
LEGARE STREET PR The Principles of Elliptic and Hyperbolic Analysis
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£14.09
LEGARE STREET PR Vector Analysis
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£17.95
Legare Street Press Newtons Abhandlung Über Die Quadratur Der Kurven. 1704
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£14.09
LEGARE STREET PR On the Definition of the sum of a Divergent Series
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£22.75
LEGARE STREET PR On the Definition of the sum of a Divergent Series
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£14.96
LEGARE STREET PR A Treatise on the Calculus of Operations
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£24.65
LEGARE STREET PR A Treatise on the Calculus of Operations
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£15.95
LEGARE STREET PR Four Lectures on Mathematics
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£22.75
Pearson Education Calculus
Book SynopsisFor three-semester undergraduate-level courses in Calculus. This text combines traditional mainstream calculus with the most flexible approach to new ideas and calculator/computer technology. It contains superb problem sets and a fresh conceptual emphasis flavored by new technological possibilities. The Calculus II portion now has a new focus on differential equations.Table of Contents1. Functions, Graphs, and Models. Functions and Mathematical Modeling. Graphs of Equations and Functions. Polynomials and Algebraic Functions. Transcendental Functions. Preview: What Is Calculus? 2. Prelude to Calculus. Tangent Lines and Slope Predictors. The Limit Concept. More about Limits. The Concept of Continuity. 3. The Derivative. The Derivative and Rates of Change. Basic Differentiation Rules. The Chain Rule. Derivatives of Algebraic Functions. Maxima and Minima of Functions on Closed Intervals. Applied Optimization Problems. Derivatives of Trigonometric Functions. Successive Approximations and Newton's Method. 4. Additional Applications of the Derivative. Implicit Functions and Related Rates. Increments, Differentials, and Linear Approximation. Increasing and Decreasing Functions and the Mean Value Theorem. The First Derivative Test and Applications. Simple Curve Sketching. Higher Derivatives and Concavity. Curve Sketching and Asymptotes. 5. The Integral. Introduction. Antiderivatives and Initial Value Problems. Elementary Area Computations. Riemann Sums and the Integral. Evaluation of Integrals. The Fundamental Theorem of Calculus. Integration by Substitution. Areas of Plane Regions. Numerical Integration. 6. Applications of the Integral. Riemann Sum Approximations. Volumes by the Method of Cross Sections. Volumes by the Method of Cylindrical Shells. Arc Length and Surface Area of Revolution. Force and Work. Centroids of Plane Regions and Curves. 7. Calculus of Transcendental Functions. Exponential and Logarithmic Functions. Indeterminate Forms and L'Hopîtal's Rule. More Indeterminate Forms. The Logarithm as an Integral. Inverse Trigonometric Functions. Hyperbolic Functions. 8. Techniques of Integration. Introduction. Integral Tables and Simple Substitutions. Integration by Parts. Trigonometric Integrals. Rational Functions and Partial Fractions. Trigonometric Substitutions. Integrals Involving Quadratic Polynomials. Improper Integrals. 9. Differential Equations. Simple Equations and Models. Slope Fields and Euler's Method. Separable Equations and Applications. Linear Equations and Applications. Population Models. Linear Second-Order Equations. Mechanical Vibrations. 10. Polar Coordinates and Parametric Curves. Analytic Geometry and the Conic Sections. Polar Coordinates. Area Computations in Polar Coordinates. Parametric Curves. Integral Computations with Parametric Curves. Conic Sections and Applications. 11. Infinite Series. Introduction. Infinite Sequences. Infinite Series and Convergence. Taylor Series and Taylor Polynomials. The Integral Test. Comparison Tests for Positive-Term Series. Alternating Series and Absolute Convergence. Power Series. Power Series Computations. Series Solutions of Differential Equations. 12. Vectors, Curves, and Surfaces in Space. Vectors in the Plane. Three-Dimensional Vectors. The Cross Product of Vectors. Lines and Planes in Space. Curves and Motions in Space. Curvature and Acceleration. Cylinders and Quadric Surfaces. Cylindrical and Spherical Coordinates. 13. Partial Differentiation. Introduction. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Multivariable Optimization Problems. Increments and Linear Approximation. The Multivariable Chain Rule. Directional Derivatives and the Gradient Vector. Lagrange Multipliers and Constrained Optimization. Critical Points of Functions of Two Variables. 14. Multiple Integrals. Double Integrals. Double Integrals over More General Regions. Area and Volume by Double Integration. Double Integrals in Polar Coordinates. Applications of Double Integrals. Triple Integrals. Integration in Cylindrical and Spherical Coordinates. Surface Area. Change of Variables in Multiple Integrals. 15. Vector Calculus. Vector Fields. Line Integrals. The Fundamental Theorem and Independence of Path. Green's Theorem. Surface Integrals. The Divergence Theorem. Stokes' Theorem. Appendices. Answers. Index.
£139.32
Pearson Calculus and Its Applications LooseLeaf Version
Book Synopsis
£185.98
Society for Industrial & Applied Mathematics,U.S. Classical Analysis of Real-Valued Functions
Book SynopsisDivided into two self-contained parts, this textbook is an introduction to modern real analysis. More than 350 exercises and 100 examples are integrated into the text to help clarify the theoretical considerations and the practical applications to differential geometry, Fourier series, differential equations, and other subjects. The first section of Classical Analysis of Real-Valued Functions covers the theorems of existence of supremum and infimum of bounded sets on the real line and the Lagrange formula for differentiable functions. Applications of these results are crucial for classical mathematical analysis, andmany are threaded through the text. In the second part of the book, the implicit function theorem plays a central role, while the Gauss–Ostrogradskii formula, surface integration, Heine–Borel lemma, the Ascoli–Arzelà theorem, and the one-dimensional indefinite Lebesgue integral are also covered. This book is intended for students in the first and second years of classical universities majoring in pure and applied mathematics, but students of engineering disciplines will also gain important and helpful insights. It is appropriate for courses in mathematical analysis, functional analysis, real analysis, and calculus and can be used for self-study as well.
£79.05
De Gruyter Einführung in die Analysis, 2, De Gruyter
Book Synopsis
£38.95
De Gruyter Einführung in die Analysis, 3, De Gruyter
Book Synopsis
£38.95
Pearson Education Mathematical Analysis
Book SynopsisIt provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.Table of Contents 1. The Real and Complex Number Systems. 2. Some Basic Notions of Set Theory. 3. Elements of Point Set Topology. 4. Limits and Continuity. 5. Derivatives. 6. Functions of Bounded Variation and Rectifiable Curves. 7. The Riemann-Stieltjes Integral. 8. Infinite Series and Infinite Products. 9. Sequences of Functions. 10. The Lebesgue Integral. 11. Fourier Series and Fourier Integrals. 12. Multivariable Differential Calculus. 13. Implicit Functions and Extremum Problems. 14. Multiple Riemann Integrals. 15. Multiple Lebesgue Integrals. 16. Cauchy's Theorem and the Residue Calculus.
£999.99
Legare Street Press Institutiones Calculi Integralis Volume 4
Book Synopsis
£32.25
CRC Press Numerical Methods for FractalFractional
Book SynopsisThis book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions.Numerical Methods for Fractal-Fractional Differential Equations and Engineering: Simulations and Modeling provides details for stability, convergence, and analysis along with numerical methods and their solution procedures for fractal-fractional operators. The book offers applications to chaotic problems and simulations using multiple fractal-fractional operators and concentrates on models that display chaos. The book details how these systems can be predictable for a while and then can appear to become random.Practitioners, engineers, researchers, and senior undergraduate and graduate students from mathematics and engineering disciplines will find this book of interest._
£55.20
Taylor & Francis Ltd Introduction to Stochastic Calculus Applied to
Book SynopsisSince the publication of the first edition of this book, the area of mathematical finance has grown rapidly, with financial analysts using more sophisticated mathematical concepts, such as stochastic integration, to describe the behavior of markets and to derive computing methods. Maintaining the lucid style of its popular predecessor, Introduction to Stochastic Calculus Applied to Finance, Second Edition incorporates some of these new techniques and concepts to provide an accessible, up-to-date initiation to the field. New to the Second EditionComplements on discrete models, including Rogers'' approach to the fundamental theorem of asset pricing and super-replication in incomplete markets Discussions on local volatility, Dupire''s formula, the change of numéraire techniques, forward measures, and the forward Libor model A new chapter on credit risk modeling An extension of the chapter on simulTrade ReviewThe second edition of this book provides a concise and accessible introduction to the probabilistic techniques needed to understand the most widely used financial models. This edition incorporates many new techniques and concepts to be used to describe the behavior of financial markets. … the solutions obtained using SciLab for computer experiments are available at http://cermics.enpc.fr/~bl/scilab/ These experiments were well designed by the authors based on their teaching and research experience and were found to be effective in communicating these concepts and ideas and enhancing the understanding of readers. … a solid introduction to stochastic approaches used in the financial world. The authors cover many key finance topics … . The book can be used as a reference text by researchers and graduate students in financial mathematics. It also is ideal reading material for practicing financial analysts and consultants using mathematical models for finance.—Technometrics, May 2009, Vol. 51, No. 2 Table of ContentsDiscrete-Time Models. Optimal Stopping Problem and American Options. Brownian Motion and Stochastic Differential Equations. The Black-Scholes Model. Option Pricing and Partial Differential Equations. Interest Rate Models. Asset Models with Jumps. Credit Risk Models. Simulation and Algorithms for Financial Models. Appendix. Bibliography. Index.
£43.99
Cambridge University Press Complex Analysis
Book SynopsisThis new edition of a classic textbook develops complex analysis from the established theory of real analysis by emphasising the differences that arise as a result of the richer geometry of the complex plane. Key features of the authors'' approach are to use simple topological ideas to translate visual intuition to rigorous proof, and, in this edition, to address the conceptual conflicts between pure and applied approaches head-on. Beyond the material of the clarified and corrected original edition, there are three new chapters: Chapter 15, on infinitesimals in real and complex analysis; Chapter 16, on homology versions of Cauchy''s theorem and Cauchy''s residue theorem, linking back to geometric intuition; and Chapter 17, outlines some more advanced directions in which complex analysis has developed, and continues to evolve into the future. With numerous worked examples and exercises, clear and direct proofs, and a view to the future of the subject, this is an invaluable companion forTable of ContentsPreface to the first edition; Preface to the second edition; The origins of complex analysis, and its challenge to intuition; 1. Algebra of the complex plane; 2. Topology of the complex plane; 3. Power series; 4. Differentiation; 5. The exponential function; 6. Integration; 7. Angles, logarithms, and the winding number; 8. Cauchy's theorem; 9. Homotopy versions of Cauchy's theorem; 10. Taylor series; 11. Laurent series; 12. Residues; 13. Conformal transformations; 14. Analytic continuation; 15. Infinitesimals in real and complex analysis; 16. Homology version of Cauchy's theorem; 17. The road goes ever on; References; Index.
£41.32
Cambridge University Press A Short Course in Intermediate Microeconomics
Book SynopsisThis second edition retains the positive features of being clearly written, well organized, and incorporating calculus in the text, while adding expanded coverage on game theory, experimental economics, and behavioural economics. It remains more focused and manageable than similar textbooks, and provides a concise yet comprehensive treatment of the core topics of microeconomics, including theories of the consumer and of the firm, market structure, partial and general equilibrium, and market failures caused by public goods, externalities and asymmetric information. The book includes helpful solved problems in all the substantive chapters, as well as over seventy new mathematical exercises and enhanced versions of the ones in the first edition. The authors make use of the book''s full color with sharp and helpful graphs and illustrations. This mathematically rigorous textbook is meant for students at the intermediate level who have already had an introductory course in microeconomics, anTrade Review'There are many textbooks covering intermediate microeconomics, but this one is distinctive for how clearly yet concisely it conveys the material. I highly recommend it.' Eric Maskin, Nobel Laureate in Economics, Harvard University, Massachusetts'This thoughtfully conceived and beautifully written textbook covers all of the material that one would hope to see in a modern course on intermediate microeconomics, from consumer theory and general equilibrium, to game theory and markets with asymmetric information. Rich examples and exercises follow each chapter and, all-combined, make this a masterfully executed book.' Philip J. Reny, Hugo F. Sonnenschein Distinguished Service Professor in Economics, University of ChicagoTable of Contents1. Introduction; Part I. Theory of the Consumer: 2. Preferences and utility; 3. The budget constraint and the consumer's optimal choice; 4. Demand functions; 5. Supply functions for labor and savings; 6. Welfare economics 1: the one-person case; 7. Welfare economics 2: the many-person case; Part II. Theory of the Producer: 8. Theory of the firm 1: the single-input model; 9. Theory of the firm 2: the long run, multiple-input model; 10. Theory of the firm 3: the short run, multiple-input model; Part III. Partial Equilibrium: Market Structure: 11. Perfectly competitive markets; 12. Monopoly and monopolistic competition; 13. Duopoly; 14. Game theory; Part IV. General Equilibrium: 15. An exchange economy; 16. A production economy; Part V. Market Failure: 17. Externalities; 18. Public goods; 19. Uncertainty and expected utility; 20. Uncertainty and asymmetric information.
£54.99
Lulu.com Contemporary Calculus 3rd Semester
Book Synopsis
£19.17
Hachette Livre - BNF Réflexions Sur La Métaphysique Du Calcul
Book Synopsis
£14.00
Alpha Edition The calculus for beginners
Book Synopsis
£21.91
MTG Learning Media Comprehensive Remedial Mathematics for Pharmacy
Book Synopsis
£999.99
Cengage Learning Multivariable Calculus
Book Synopsis
£281.70
Princeton University Press A Geometrical Introduction to Tensor Calculus
Book Synopsis
£35.70
Savvas Learning Co Advanced Placement Calculus Graphical Numerical
Book Synopsis
£999.99
Imperial College Press Using Counter-examples In Calculus
Book SynopsisThis book makes accessible to calculus students in high school, college and university a range of counter-examples to “conjectures” that many students erroneously make. In addition, it urges readers to construct their own examples by tinkering with the ones shown here in order to enrich the example spaces to which they have access, and to deepen their appreciation of conspectus and conditions applying to theorems.Table of ContentsWorking with Counter-examples; The Pathological Debate; Bones to Chew: Collection of False Statements; Suggested Solutions and New Challenges.
£30.40
Imperial College Press Using Counter-examples In Calculus
Book SynopsisThis book makes accessible to calculus students in high school, college and university a range of counter-examples to “conjectures” that many students erroneously make. In addition, it urges readers to construct their own examples by tinkering with the ones shown here in order to enrich the example spaces to which they have access, and to deepen their appreciation of conspectus and conditions applying to theorems.Table of ContentsWorking with Counter-examples; The Pathological Debate; Bones to Chew: Collection of False Statements; Suggested Solutions and New Challenges.
£60.80
Imperial College Press Operator Calculus On Graphs: Theory And
Book SynopsisThis pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science.Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.Table of ContentsCombinatorial Algebras and Their Properties; Combinatorics and Graph Theory; Operator Calculus; Probability on Algebraic Structures; Computational Complexity; Symbolic Computations Using Mathematica.
£121.50
Springer Fachmedien Wiesbaden Lineare Operatoren in Hilberträumen: Teil II:
Book SynopsisDie im ersten Teil des Buchs dargestellten Grundlagen der Theorie der linearen Operatoren in Hilberträumen werden hier benutzt, um die Spektraltheorie von Ein- und Mehrteilchen-Schrödingeroperatoren sowie des Dirac-Operators eingehend zu untersuchen.Table of ContentsSpektrale Teilräume eines selbstadjungierten Operators - Sturm-Liouville-Operatoren - Eindimensionale Diracoperatoren - Periodische Differentialoperatoren - Ein-Teilchen-Schrödingeroperatoren - Separation der Variablen und Kugelflächenfunktionen - Spektraltheorie von N-Teilchen-Schrödingeroperatoren - Grundbegriffe der Streutheorie - Existenz der Wellenoperatoren - Ein eindimensionales Streuproblem
£999.99
Springer Fachmedien Wiesbaden Analysis Band 2: Ein Lernbuch
Book SynopsisDas Buch ist im Stil der Analysis 1 geschrieben: Alles wird sehr ausführlich motiviert und entwickelt, und wieder gab es eine besonders intensive Zusammenarbeit mit Studierenden. Neben dem üblichen Stoff einer Analysis 2 (Funktionenräume, Integration, Differentialrechnung für Funktionen in mehreren Veränderlichen) enthält das Buch eine Reihe von Besonderheiten, die es sonst in keinem Lehrbuch gibt. Zum Beispiel ist der Satz von Liouville enthalten, durch den garantiert wird, dass gewisse einfache Funktionen nicht geschlossen integriert werden können. Im Kapitel "Anwendungen der Integralrechnung" gibt es einen Abschnitt zur Zahlentheorie, in dem Transzendenzbeweise für konkrete Zahlen - unter anderem für die Zahl e - geführt werden; in diesem Kapitel wird auch der Existenzsatz von Picard-Lindelöf behandelt. Und schließlich gibt es noch einen ausführlichen Anhang zum Thema "Englisch für Mathematiker": Was muss man beachten, wenn man sich auf Englisch über Mathematik unterhalten möchte? In der 2.Auflage wurde der Text an vielen Stellen korrigiert, und in Kapitel 6 (Integration) wurde ein Abschnitt überarbeitet.Trade Review"Das Buch schließt mit einem fast unterhaltsamen Abschnitt über "Englisch für Mathematiker" der ebenfalls wie das gesamte Werk auch Nicht-Mathematikern zur Lektüre, zur Vertiefung und als Ergänzung zu den einschlägigen Vorlesungen empfohlen sei." ImpulsE, 12/2007Table of ContentsFunktionenräume - Integration - Anwendungen der Integralrechnung - Differentialrechnung im R^n - Mathematische Ausblicke: Lebesgue-Integral, Fourierreihen, Mehrfachintegrale - Englisch für Mathematiker
£26.59
Springer Fachmedien Wiesbaden Nichtlineare Optimierung: Eine Einführung in
Book SynopsisZiel des Buches ist es, eine Einführung in die theoretischen Grundlagen, die numerischen Verfahren und die Anwendungen der nichtlinearen Optimierung zu geben. Die Auswahl wurde so getroffen, dass auch die praktische Vorgehensweise bei der Lösung konkreter Aufgabenstellungen ausreichend berücksichtigt wird. Dazu betrachtet der Autor beispielsweise einfache Modelle für Produktions- und Lagerhaltungsprobleme. An diesen Modellen erläutert er die theoretischen Resultate, diskutiert mögliche Varianten, Verbesserungen und Verfeinerungen der Modellierung und geht auf verschiedene Möglichkeiten zur Formulierung solcher Aufgaben als nichtlineare Optimierungsprobleme ein. Außerdem demonstriert er an zahlreichen Beispielen die Anwendung von Optimierungssoftware zur numerischen Berechnung einer Lösung nichtlinearer Optimierungsaufgaben, wobei er die Implementierungen von Optimierungsverfahren aus Matlab oder aus der NAG-Bibliothek benutzt. Neu in der 2. Auflage sind zwei Kapitel über nichtglatte Optimierungsprobleme sowie Übungsaufgaben zu allen Kapiteln.Table of ContentsOptimierungsaufgaben - Ableitungsfreie Verfahren - Unrestringierte Optimierungsprobleme: Theorie und Verfahren - Optimierungsprobleme mit linearen Restriktionen: Theorie und Verfahren - Optimierungsprobleme mit nichtlinearen Restriktionen: Theorie und Verfahren - Nichtglatte Optimierungsprobleme: Theorie und Verfahren
£31.34
Springer Fachmedien Wiesbaden Kompendium der ANALYSIS - Ein kompletter
Book SynopsisDas zweibändige Werk umfasst den gesamten Stoff von in der „Analysis“ üblichen Vorlesungen für einen sechssemestrigen Bachelor-Studiengang der Mathematik. Die Bücher sind vorlesungsnah aufgebaut und bilden die Vorlesungen exakt ab. Jeder Band enthält Beispiele und zusätzlich ein Kapitel "Prüfungsfragen", das Studierende auf mündliche und schriftliche Prüfungen vorbereiten soll. Das Werk ist ein Kompendium der Analysis und eignet sich als Lehr- und Nachschlagewerk sowohl für Studierende als auch für Dozenten.Table of ContentsBand 1 eignet sich für Vorlesungen Analysis I – III in den ersten drei Semestern: - Differential- und Integralrechnung I und II (Funktionen einer und mehrerer Veränderlicher) - Gewöhnliche Differentialgleichungen Am Ende des Buches gibt es ein Kapitel zur Prüfungsvorbereitung.
£26.59
Springer Fachmedien Wiesbaden Kompendium der ANALYSIS - Ein kompletter
Book SynopsisDas zweibändige Werk umfasst den gesamten Stoff von in der „Analysis“ üblichen Vorlesungen für einen sechssemestrigen Bachelor-Studiengang der Mathematik. Die Bücher sind vorlesungsnah aufgebaut und bilden die Vorlesungen exakt ab. Jeder Band enthält Beispiele und zusätzlich ein Kapitel "Prüfungsfragen", das Studierende auf mündliche und schriftliche Prüfungen vorbereiten soll. Das Werk ist ein Kompendium der Analysis und eignet sich als Lehr- und Nachschlagewerk sowohl für Studierende als auch für Dozenten.Table of ContentsMaß- und Integrationstheorie.- Funktionentheorie.- Funktionalanalysis. -Partielle Differentialgleichungen.-Prüfungsvorbereitung
£23.74
Springer Fachmedien Wiesbaden Aufgabensammlung Mathematik. Band 2: Analysis
Book SynopsisDer zweite Teil dieser Aufgabensammlung umfasst einen großen Vorrat an Beispielen aus Analysis mehrerer Variablen, Vektoranalysis, Gewöhnlichen Differentialgleichungen und Integraltransformationen. Wie bei Band 1 werden für jedes Teilgebiet zunächst die zum Bearbeiten der nachfolgenden Aufgaben erforderlichen Grundlagen kurz zusammengefasst und anschließend jeweils eine Reihe speziell ausgewählter Beispiele ausführlich gelöst. In einem weiteren Abschnitt werden Aufgaben mit Lösungen angegeben. In einem abschließenden Kapitel behandelt der Autor Aufgabenstellungen aus Technik und Physik.Table of ContentsStetigkeit und Differenzierbarkeit - Richtungsableitung, Tangentialebene - Kettenregel - Mittelwertsatz und Satz von TAYLOR - Implizite Funktionen und Umkehrfunktion - Extrema ohne Nebenbedingungen - Extrema mit Nebenbedingungen - Kurven im lRn - Mehrfachintegrale - Oberflächen und Oberflächenintegrale - Kurvenintegrale - Dfferentialoperatoren - Satz von GAUSS - Satz von GREEN-RIEMANN - Satz von STOKES - Wegunabhängigkeit von Kurvenintegralen, Potentiale - Gewöhnliche Differentialgleichungen erster Ordnung - Lineare Differentialgleichungen zweiter und höherer Ordnung - Lösungsdarstellungen mittels Reihen - Lineare Systeme von Differentialgleichungen - Autonome Differentialgleichungen und autonome Systeme - LAPLACE-Transformation - FOURIER-Transformation
£999.99
Springer Fachmedien Wiesbaden Einführung in die Funktionalanalysis
Book SynopsisDieses Buch wendet sich an Studenten der Mathematik und der Physik, welche über Grundkenntnisse in Analysis und linearer Algebra verfügen.Table of ContentsPräliminarien - Banachräume und metrische Vektorräume - Spektraltheorie linearer Operatoren
£26.59
Springer Fachmedien Wiesbaden Analysis - Arbeitsbuch: Bezüge zwischen Schul-
Book SynopsisSchulmathematik und universitäre Mathematik – zwei getrennte Welten? Das vorliegende Buch begegnet dieser Frage mit einem neuen Konzept: Es bietet Schnittstellenaufgaben, die in den zentralen Themenbereichen der Analysis vielfältige Bezüge zwischen Schul- und Hochschulmathematik herstellen und diese für das Mathematiklernen nutzbar machen.- Schnittstellenaufgaben greifen Vorstellungen aus der Schulmathematik auf und nutzen diese, um Begriffsbildungen und Konzepte der Hochschulmathematik besser zu verstehen. - Umgekehrt zeigen sie, dass die Instrumente der Hochschulmathematik Möglichkeiten bieten, Schulmathematik tiefer zu durchdringen und sie auch dort zu erklären, wo in der Schule Plausibilitätsbetrachtungen genügen müssen. Ausführliche kommentierte Lösungsvorschläge unterstützen dabei den Lernprozess.Table of ContentsWie benutzt man dieses Buch? - Funktionen, Folgen und Grenzwerte - Differenzierbare Funktionen - Monotonie und Extrema - Integration - Reflexion mathematischer Arbeitsweisen
£18.99
World Scientific Publishing Co Pte Ltd Applications Of Fractional Calculus In Physics
Book SynopsisFractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus.This volume provides an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.Table of ContentsAn introduction to fractional calculus, P.L. Butzer & U. Westphal; fractional time evolution, R. Hilfer; fractional powers of infinitesimal generators of semigroups, U. Westphal; fractional differences, derivatives and fractal time series, B.J. West and P. Grigolini; fractional kinetics of Hamiltonian chaotic systems, G.M. Zaslavsky; polymer science applications of path integration, integral equations, and fractional calculus, J.F. Douglas; applications to problems in polymer physics and rheology, H. Schiessel et al; applications of fractional calculus and regular variation in thermodynamics, R. Hilfer.
£134.10
World Scientific Publishing Co Pte Ltd Calculus: The Elements
Book SynopsisThis book provides a full and clear account of the essentials of calculus, presented in an engaging style that is both readable and mathematically precise. Concepts and central ideas are emphasized throughout. Physical examples and interpretations play a leading role, and alternative approaches to fundamental ways of thinking help the student develop the intuitive understanding so important in science and engineering. Many questions and problems, with detailed solutions, encourage active reading and independent thought. Usable either as a basic classroom text or as a supplement that will give the reader a grasp of calculus as a whole, the book is also ideally suited for self-study.Trade Review"This book is unlike any other calculus book I have seen. It is an extremely scholarly work, by a pure mathematician with research credentials, as well as years of teaching experience, whose goal seems to be to explain the ideas behind the calculus, as well as its origins and applications, to the intelligent and curious but mathematically unsophisticated beginner, even lay persons."Roy SmithUniversity of Georgia, Athens, GA"Whether you're studying the subject in class or on your own, Calculus provides an introduction whose intellectual depth few other texts match."Library of Science"A work by a mathematician still in close touch with physics ... The author is conscious of the possible use of the book by a learner studying alone, and it is well suited for either such study or for use in a lecture course ... The author succeeds well in giving an excellent intuitive introduction while ultimately maintaining a healthy respect for rigor."Zentralblatt MATH"The text is presented in an interesting and engaging fashion that makes it easy to follow where the elements in calculus have been treated in full and clear fashion ... the book can be described as an essential source for further reading and thought development as it offers detailed solutions and explanations for many problems and questions in calculus ... this text is a must for those learners studying alone giving the wealth of examples and solutions included."School Science and MathematicsTable of ContentsThe Problem of Calculus; Integral and Derivative; Differentiation and Integration; Differential Equations of Rectilinear Motion; The Differential Equation of Intrinsic Growth: The Exponential and Logarithmic Functions; Length and Curvature of Plane Curves and Representation of Functions by Infinite Taylor Series.
£56.05
World Scientific Publishing Co Pte Ltd Calculus: The Elements
Book SynopsisThis book provides a full and clear account of the essentials of calculus, presented in an engaging style that is both readable and mathematically precise. Concepts and central ideas are emphasized throughout. Physical examples and interpretations play a leading role, and alternative approaches to fundamental ways of thinking help the student develop the intuitive understanding so important in science and engineering. Many questions and problems, with detailed solutions, encourage active reading and independent thought. Usable either as a basic classroom text or as a supplement that will give the reader a grasp of calculus as a whole, the book is also ideally suited for self-study.Trade Review"This book is unlike any other calculus book I have seen. It is an extremely scholarly work, by a pure mathematician with research credentials, as well as years of teaching experience, whose goal seems to be to explain the ideas behind the calculus, as well as its origins and applications, to the intelligent and curious but mathematically unsophisticated beginner, even lay persons."Roy SmithUniversity of Georgia, Athens, GA"Whether you're studying the subject in class or on your own, Calculus provides an introduction whose intellectual depth few other texts match."Library of Science"A work by a mathematician still in close touch with physics ... The author is conscious of the possible use of the book by a learner studying alone, and it is well suited for either such study or for use in a lecture course ... The author succeeds well in giving an excellent intuitive introduction while ultimately maintaining a healthy respect for rigor."Zentralblatt MATH"The text is presented in an interesting and engaging fashion that makes it easy to follow where the elements in calculus have been treated in full and clear fashion ... the book can be described as an essential source for further reading and thought development as it offers detailed solutions and explanations for many problems and questions in calculus ... this text is a must for those learners studying alone giving the wealth of examples and solutions included."School Science and MathematicsTable of ContentsThe Problem of Calculus; Integral and Derivative; Differentiation and Integration; Differential Equations of Rectilinear Motion; The Differential Equation of Intrinsic Growth: The Exponential and Logarithmic Functions; Length and Curvature of Plane Curves and Representation of Functions by Infinite Taylor Series.
£93.60
World Scientific Publishing Co Pte Ltd Analysis: A Gateway To Understanding Mathematics
Book SynopsisThis book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.
£38.00
World Scientific Publishing Co Pte Ltd Basic Insights In Vector Calculus: With A
Book SynopsisBasic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows.The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms.There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching.Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus.Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided.
£85.50
World Scientific Publishing Co Pte Ltd Casual Calculus: A Friendly Student Companion -
Book SynopsisYes, this is another Calculus book. However, it fits in a niche between the two predominant types of such texts. It could be used as a textbook, albeit a streamlined one — it contains exposition on each topic, with an introduction, rationale, train of thought, and solved examples with accompanying suggested exercises. It could be used as a solution guide — because it contains full written solutions to each of the hundreds of exercises posed inside. But its best position is right in between these two extremes. It is best used as a companion to a traditional text or as a refresher — with its conversational tone, its 'get right to it' content structure, and its inclusion of complete solutions to many problems, it is a friendly partner for students who are learning Calculus, either in class or via self-study.Exercises are structured in three sets to force multiple encounters with each topic. Solved examples in the text are accompanied by 'You Try It' problems, which are similar to the solved examples; the students use these to see if they're ready to move forward. Then at the end of the section, there are 'Practice Problems': more problems similar to the 'You Try It' problems, but given all at once. Finally, each section has Challenge Problems — these lean to being equally or a bit more difficult than the others, and they allow students to check on what they've mastered.The goal is to keep the students engaged with the text, and so the writing style is very informal, with attempts at humor along the way. The target audience is STEM students including those in engineering and meteorology programs.
£121.50
World Scientific Publishing Co Pte Ltd Fractal Calculus And Its Applications:
Book SynopsisFractal calculus is the simple, constructive, and algorithmic approach to natural processes modeling, which is impossible using smooth differentiable structures and the usual modeling tools such as differential equations. It is the calculus of the future and will have many applications.This book is the first to introduce fractal calculus and provides a basis for the research and development of this framework. It is suitable for undergraduate and graduate students in mathematics and physics who have mastered general mathematics, quantum physics, and statistical mechanics, as well as researchers dealing with fractal structures in various disciplines.
£99.00
World Scientific Publishing Co Pte Ltd Primer On Smooth Manifolds A
Book SynopsisDifferential Geometry is one of the major branches of current Mathematics, and it is an unavoidable language in modern Physics. The main characters in Differential Geometry are smooth manifolds: a class of geometric objects that locally behave like the standard Euclidean space.The book provides a first introduction to smooth manifolds, aimed at undergraduate students in Mathematics and Physics. The only prerequisites are the Linear Algebra and Calculus typically covered in the first two years. The presentation is as simple as possible, but it does not sacrifice the rigor.The lecture notes are divided into 10 chapters, with gradually increasing difficulty. The first chapters cover basic material, while the last ones present more sophisticated topics. The definitions, propositions, and proofs are complemented by examples and exercises. The exercises, which include part of the proofs, are designed to help the reader learn the language of Differential Geometry and develop their problem-solving skills in the area. The exercises are also aimed at promoting an active learning process. Finally, the book contains pictures which are useful aids for the visualization of abstract geometric situations. The lecture notes can be used by instructors as teaching material in a one-semester course on smooth manifolds.
£85.50
World Scientific Publishing Co Pte Ltd Economics With Calculus
Book SynopsisThis textbook provides a calculus-based introduction to economics. Students blessed with a working knowledge of the calculus will find that this text facilitates their study of the basic analytical framework of economics. The textbook examines a wide range of micro and macro topics, including prices and markets, equity versus efficiency, Rawls versus Bentham, accounting and the theory of the firm, optimal lot size and just in time, monopoly and competition, exchange rates and the balance of payments, inflation and unemployment, fiscal and monetary policy, IS-LM analysis, aggregate demand and supply, speculation and rational expectations, growth and development, exhaustible resources and over-fishing. While the content is similar to that of conventional introductory economics textbook, the assumption that the reader knows and enjoys the calculus distinguishes this book from the traditional text.
£108.00
