Calculus and mathematical analysis Books

964 products


  • Taylor & Francis Ltd Applications of Fractional Calculus to Modeling in Dynamics and Chaos

    15 in stock

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    £175.75

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    £58.89

  • Taylor & Francis Ltd Fundamentals of Abstract Analysis

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    15 in stock

    £58.89

  • Taylor & Francis Ltd Conference Harmonic Analysis Volume II

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    15 in stock

    £39.99

  • Taylor & Francis Ltd Introduction to Functions of a Complex Variable

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    15 in stock

    £56.04

  • Taylor & Francis Ltd HTransforms Theory and Applications

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    15 in stock

    £56.04

  • Taylor & Francis Ltd Real And Complex Singularities

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    £56.04

  • Taylor & Francis Ltd Bessel Functions and Their Applications

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  • Taylor & Francis Ltd An Introduction to Metric Spaces

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    £33.99

  • Taylor & Francis Ltd Fractional Calculus for Hydrology Soil Science and Geomechanics

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    £58.89

  • Taylor & Francis Ltd Piecewise and MaxType Difference Equations

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    £43.69

  • Taylor & Francis Ltd Wavelet Analysis

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    £43.69

  • Taylor & Francis Ltd Industry 4.0 AI and Data Science

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    15 in stock

    £128.25

  • Taylor & Francis Ltd Multivariable Calculus with Mathematica

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    £39.99

  • Taylor & Francis Ltd An Illustrative Introduction to Modern Analysis

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    £45.99

  • Taylor & Francis Ltd An Image Processing Tour of College Mathematics

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    £58.89

  • Taylor & Francis Ltd Banach Limit and Applications

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    £128.25

  • Taylor & Francis Ltd An Introduction to Analysis

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    £80.74

  • Taylor & Francis Ltd LevelCrossing Problems and Inverse Gaussian Distributions

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    £166.25

  • Taylor & Francis Ltd The Lambert W Function

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    £99.75

  • Taylor & Francis Ltd Quaternion and Clifford Fourier Transforms

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    £175.75

  • Taylor & Francis Ltd Fourier Theory in Optics and Optical Information Processing

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    £104.50

  • Taylor & Francis Ltd Change Request Impacts in Software Maintenance

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    £52.24

  • Taylor & Francis Ltd Bessel Functions and Their Applications

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    £166.25

  • Taylor & Francis Ltd HTransforms Theory and Applications 9 Analytical Methods and Special Functions

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    £166.25

  • Taylor & Francis Ltd Free Boundary Problems Involving Solids Theory and Applications 281 Chapman HallCRC Research Notes in Mathematics Series

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    £116.22

  • Taylor & Francis Ltd NonClassical Elastic Solids 293 Chapman HallCRC Research Notes in Mathematics Series

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    £163.80

  • Taylor & Francis Ltd Completeness of Root Functions of Regular Differential Operators 71 Monographs and Surveys in Pure and Applied Mathematics

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    £156.75

  • Taylor & Francis Ltd Quaternion and Clifford Fourier Transforms

    15 in stock

    Quaternion and Clifford Fourier Transforms describes the development of quaternion and Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first comprehensive, self-contained book covering this vibrant new area of pure and applied mathematics in depth.The book begins with a historic overview, followed by chapters on Clifford and quaternion algebra and geometric (vector) differential calculus (part of Clifford analysis). The core of the book consists of one chapter on quaternion Fourier transforms and one on Clifford Fourier transforms. These core chapters and their sections on more special topics are reasonably self-contained, so that readers already somewhat familiar with quaternions and Clifford algebra will hopefully be able to begin reading directly in the chapter and section of their particular interest, without frequently needing to skip back and forth. The topics covered are of fundamental interest to pure and

    15 in stock

    £43.69

  • Taylor & Francis Ltd Principles of Analysis

    15 in stock

    Book SynopsisPrinciples of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers' benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis.The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part IITrade Review"The author's aim for the book under review is to provide a rigorous and detailed treatment of the essentials of measure and integration, as well as other topics in functional analysis at the graduate level. Although he assumes readers to have an undergraduate background, such as real analysis (including some experience in dealing with limits, continuity, di erentiation, Riemann integration, and uniform convergence, including elementary set theory), a standard course of complex analysis (function theory, Cauchy's integral equation), and a knowledge of basic linear algebra, this book could also be very useful for a reader with a weaker mathematical background. This is possible since the excellently constructed introduction in Chapter 0 is a very good base for systematizing and developing the mathematical background for a broad group of readers. The book is divided into four parts.In Part I, which consists of Chapters 1{7, the author develops a detailed course concerning the general theory of Lebesgue integration as well as Fourier analysis on Rd (Chapter 6) and measures on locally compact spaces (Chapter 7). A short course on the general theory of Lebesgue integration could be based on Chapters 1{5 only but the full variant looks more attractive. It must be noted that the author's exposition is on a very high level as well as very clear and easily understandable.Part II is presented as a course in functional analysis. The author considers Chapters 8{12 to be the core of such a course. Chapter 13 could be an optional choice, but can be also included in the course. Chapter 14 plays an important role concerning Part I and Part II. This chapter includes not only deeper theorems in functional analysis but also several well-chosen applications. Note that some of them are related to the measure and integration developed in Part I and the others with the applications in the remainder of the book.Part III (Chapters 15{17) is a key part in the book since it includes many topics and applications that depend on, and indeed are meant to illustrate, the power of topics developed in the first two parts. It must be noted that these chapters are almost independent. Their goal is to provide a relatively quick overview of the subjects treated therein. The detailed exposition that this approach allows means that the reader can follow the development with relative ease. In addition to allowing the reader to consult the themes considered, some specialized sources are listed in the bibliography.Part IV consists of two appendices with proofs of the change of variables theorem and a theorem on separate and joint continuity. A reader may choose to safely omit the proofs without disturbing the flow of the text, as the author notes. An advantage for the readers is that the book contains a lot of exercises (nearly 700). It is very convenient that hints and/or a framework of intermediate steps are given for the more di□cult exercises. Many of these are extensions of material in the text or are of special independent interest. Additionally, the exercises related in a critical way to material elsewhere in the text are marked with either an upward arrow, referring to earlier results, or a downward arrow, referring to later material. Instructors may obtain complete solutions to theexercises from the publisher.In conclusion, I strongly recommend the book because it will be helpful for every level of reader. I only regret that it was not written when I was a student."- Andrey I. Zahariev - Mathematical Reviews Clippings February 2019Table of ContentsMeasurable Sets. Measurable Functions. Integration. Further Topics in Measure Theory. Banach Spaces. Hilbert Spaces. Locally Convex Spaces. Banach Algebras. Harmonic Analysis on Locally Compact Groups. Probability Theory. Operator Theory. Appendices.

    15 in stock

    £43.99

  • Taylor & Francis Ltd Differential Calculus in Several Variables

    15 in stock

    Book SynopsisThe aim of this book is to lead the reader out from the ordinary routine of computing and calculating by engaging in a more dynamic process of learning. This Learning-by-Doing Approach can be traced back to Aristotle, who wrote in his Nicomachean Ethics that âœFor the things we have to learn before we can do them, we learn by doing themâ.The theory is illustrated through many relevant examples, followed by a large number of exercises whose requirements are rendered by action verbs: find, show, verify, check and construct. Readers are compelled to analyze and organize analytical skills.Rather than placing the exercises in bulk at the end of each chapter, sets of practice questions after each theoretical concept are included. The reader has the possibility to check their understanding, work on the new topics and gain confidence during the learning activity. As the theory unfolds, the exercises become more complex â sometimes they span over several topics. Hints have been added in order to guide the reader in the process.This book stems from the Differential Calculus course which the author taught for many years. The goal of this book is to immerse the reader in the subtleties of Differential Calculus through an active perspective. Particular attention was paid to continuity and differentiability topics, presented in a new course of action.Table of ContentsCh 1. Vectors and Sets Ch 2. Functions of several variables Ch 3. Limits and continuity Ch 4. Differentiable functions Ch 5. Chain rule and the Mean Value Theorem Ch 6. Directional derivative Ch 7. Higher order derivatives Ch 8. Taylor’s theorem and approximations Ch 9. Inverse and Implicit Function Theorem Ch 10. Maxima and Minima Ch 11. Constrained optimisation and applications Ch 12. Solutions

    15 in stock

    £49.39

  • Taylor & Francis Ltd An Illustrative Introduction to Modern Analysis

    15 in stock

    Book SynopsisAimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis.The themes treated include Metric Spaces, General Topology, Continuity, Completeness, Compactness, Measure Theory, Integration, Lebesgue Spaces, Hilbert Spaces, Banach Spaces, Linear Operators, Weak and Weak* Topologies. Suitable both for classroom use and independent reading, this book is ideal preparation for further study in research areas where a broad mathematical toolbox is required.Table of ContentsSets, mappings, countability and choice. Metric spaces and normed spaces. Completeness and applications. Topological spaces and continuity. Compactness and sequential compactness. The Lebesgue measure on the Euclidean space. Measure theory on general spaces. The Lebesgue integration theory. The class of Lebesgue functional spaces. Inner product spaces and Hilbert spaces. Linear operators on normed spaces. Weak topologies on Banach spaces. Weak* topologies and compactness. Functional properties of the Lebesgue spaces. Solutions to the exercises.

    15 in stock

    £105.00

  • Cambridge University Press Weighing the Odds A Course in Probability and Statistics

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    15 in stock

    £68.39

  • Cambridge University Press Approximation by Algebraic Numbers 160 Cambridge Tracts in Mathematics Series Number 160

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    15 in stock

    £64.59

  • Cambridge University Press Riemann Approach to Integration Local Geometric Theory 109 Cambridge Tracts in Mathematics Series Number 109

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    15 in stock

    £51.29

  • Cambridge University Press Analysis on Fractals 143 Cambridge Tracts in Mathematics Series Number 143

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    15 in stock

    £53.43

  • Cambridge University Press Gaussian Hilbert Spaces 129 Cambridge Tracts in Mathematics Series Number 129

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    15 in stock

    £65.02

  • Cambridge University Press Multivalent Functions 2ed 110 Cambridge Tracts in Mathematics Series Number 110

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    15 in stock

    £48.47

  • Cambridge University Press Random Walks on Infinite Graphs Cambridge Tracts in Mathematics Series Number 138

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    15 in stock

    £53.43

  • Cambridge University Press Topics in Metric Fixed Point Theory 28 Cambridge Studies in Advanced Mathematics Series Number 28

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    15 in stock

    £56.74

  • Cambridge University Press Absolutely Summing Operators 43 Cambridge Studies in Advanced Mathematics Series Number 43

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    £62.54

  • Cambridge University Press Duality and Perturbation Methods in Critical Point Theory Cambridge Tracts in Mathematics Series Number 107

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    15 in stock

    £51.29

  • Cambridge University Press Analysis and Geometry on Groups 100 Cambridge Tracts in Mathematics Series Number 100

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    15 in stock

    £42.74

  • Cambridge University Press Introduction to Dynamics

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    15 in stock

    £44.64

  • Cambridge University Press An Analytical Calculus

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    15 in stock

    £41.79

  • Cambridge University Press An Analytical Calculus

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    15 in stock

    £40.84

  • Cambridge University Press An Analytical Calculus For School and University

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    £40.84

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