Complex analysis, complex variables Books
Springer Functional Equations and Inequalities 518 Mathematics and Its Applications
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£999.99
Springer Meromorphic Functions over NonArchimedean Fields 522 Mathematics and Its Applications
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£999.99
Springer Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift 523 Mathematics and Its Applications
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£999.99
Springer Asymptotics of Linear Differential Equations 533 Mathematics and Its Applications
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Birkhauser Boston Mathematical Analysis Functions of One Variable v 1
Book SynopsisFor more than two thousand years some familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person.Trade ReviewFrom the reviews: "Many teachers and students could benefit from thinking about its unique perspectives." ---SIAM Review "Giaquinta . . . and Modica . . . present the differential and integral calculus for real functions of a single real variable from a sophisticated point of view. Their book is far better suited as a source of unique perspectives on the logical development of calculus ideas and their physical applications . . . [so that] it will better serve the experienced calculus instructor seeking new approaches to familiar material, or the student who has already mastered the basic ideas and techniques of calculus but wishes to see it all again, 'done right,' . . . Highly recommended." ---CHOICE "This self-contained book introduces the main ideas and fundamental methods of mathematical analysis without loosing sight of the context in which it was developed and the role played in science, particularly in physics…. Each chapter has a short summary where the most important facts discussed are collected. There is also a large number of exercises inserted at various points into the text…. The book is meant principally for students in mathematics, physics, engineering, and computer science, but it can be used at technological and scientific faculties by anyone who wants to approach these topics." ---ZENTRALBLATT MATH "The presentation of the theory is clearly arranged, all theorems have rigorous proofs and every chapter closes with a summing up of the results and exericeses with different requirements. The aim of the authors was very successful[ly] realized, and this book is excellently suitable for students in mathematics, physics, engineering, computer science and all students of technological and scientific faculties." ---Journal of Analysis and its Applications "This is the first of several volumes on analysis by these authors. … It is essentially a calculus book at the advanced undergraduate level, or an analysis textbook for someone who has never seen calculus before. … I like this book … ." (Warren Johnson, The Mathematical Association of America, October, 2009)Table of ContentsNumbers, Functions and their Graphs * Limits and Continuity * The Fundamental Ideas of the Differential and Integral Calculus * The Calculus of Derivatives and Integrals * Further Developments in Calculus * Towards Differential Equations and Minimum Principles * Bibliographical Notes * Index
£44.99
Birkhauser Boston Mathematical Analysis Approximation and Discrete Processes
Book Synopsis1. Real Numbers and Natural Numbers.- 1.1 Introduction.- 1.2 The Axiomatic Approach to Real Numbers.- 1.3 Natural Numbers.- 1.4 Summing Up.- 1.5 Exercises.- 2. Sequences of Real Numbers.- 2.1 Sequences.- 2.2 Equivalent Formulations of the Continuity Axiom.- 2.3 Limits of Sequences and Continuity.- 2.4 Some Special Sequences.- 2.5 An Alternative Definition of Exponentials and Logarithms.- 2.6 Summing Up.- 2.7 Exercises.- 3. Integer Numbers: Congruences, Counting and Infinity.- 3.1 Congruences.- 3.2 Combinatorics.- 3.3 Infinity.- 3.4 Summing Up.- 3.5 Exercises.- 4. Complex Numbers.- 4.1 Complex Numbers.- 4.2 Sequences of Complex Numbers.- 4.3 Some Elementary Applications.- 4.4 Summing Up.- 4.5 Exercises.- 5. Polynomials, Rational Functions and Trigonometric Polynomials.- 5.1 Polynomials.- 5.2 Solutions of Polynomial Equations.- 5.3 Rational Functions.- 5.4 Sinusoidal Functions and Their Sums.- 5.5 Summing Up.- 5.6 Exercises.- 6. Series.- 6.1 Basic Facts.- 6.2 Taylor Series, e and ?.- 6.3 Series of Nonnegative Terms.- 6.4 Series of Terms of Arbitrary Sign.- 6.5 Series of Products.- 6.6 Products of Series.- 6.7 Rearrangements.- 6.8 Summing Up.- 6.9 Exercises.- 7. Power Series.- 7.1 Basic Theory.- 7.2 Further Results.- 7.3 Some Applications.- 7.4 Further Applications.- 7.5 Summing Up.- 7.6 Exercises.- 8. Discrete Processes.- 8.1 Recurrences.- 8.2 One-Dimensional Dynamical Systems.- 8.3 Two-Dimensional Dynamical Systems.- 8.4 Exercises.- A. Mathematicians and Other Scientists.- B. Bibliographical Notes.- C. Index.Trade Review"This self-contained book aims to introduce the main ideas for studying approximation processes, more generally discrete processes at graduate level. The use of computers induces a growing need for studying discrete processes.... A key feature this lively yet rigorous and systematic treatment is the historical accounts of ideas and methods of the subject. Ideas in mathematics develop in cultural, historical and economical contexts, thus the authors made brief accounts of those aspects and used a large number of beautiful illustrations.... Each chapter has a short summary where the most important facts discussed are collected and described. There is also a large number of exercises inserted at various points into the text....The book is meant principally for graduate students in mathematics, physics, engineering, and computer science, but it can be used at technological and scientific faculties by anyone who wants to approach these topics. It may also be used in graduate seminars and courses or as a reference text by mathematicians, physicists, and engineers." —Zentralblatt MATH"Mathematical Analysis does contain a substantial amount of material that is unusual in terms of an introductory text in real analysis…These are all interesting topics that have gained increasing importance in modern applications of mathematics, albeit outside the traditional area of analysis. It is very nice to have these topics developed outside a specialized textbook, in, e.g., combinatorics, dynamical systems, or number theory. The authors do a very good job presenting this material…Mathematical Analysis includes substantial amounts of historical background…The book also contains a lot of examples…I can happily recommend Mathematical Analysis as a good resource for instructors of introductory analysis courses, especially in terms of providing some unusual applications of analysis and developments of some basic classic topics that are often shortchanged in standard texts." —SIAM Review“This is the second volume of a series on analysis. … a real hodgepodge that could only be the primary textbook for a course specifically based on it. … In this series Giaquinta and Modica have set themselves the formidable task of constructing from scratch an analysis sequence of several years length. … they have more regard for classical topics and arguments than most authors writing analysis books today. … I enjoyed reading this volume … .” (Warren Johnson, The Mathematical Association of America, January, 2010) Table of ContentsPreface * Real Numbers and Natural Numbers * Sequences of Real Numbers * Integer Numbers: Congruences, Counting and Infinity * Complex Numbers * Polynomials, Rational Functions and Trigonometric Polynomials * Series * Power Series * Discrete Processes * Mathematicans and Other Scientists * Bibliographical Notes * Index
£44.99
Cambridge University Press Rectifiability
Book SynopsisRectifiable sets, measures, currents and varifolds are foundational concepts in geometric measure theory. The last four decades have seen the emergence of a wealth of connections between rectifiability and other areas of analysis and geometry, including deep links with the calculus of variations and complex and harmonic analysis. This short book provides an easily digestible overview of this wide and active field, including discussions of historical background, the basic theory in Euclidean and non-Euclidean settings, and the appearance of rectifiability in analysis and geometry. The author avoids complicated technical arguments and long proofs, instead giving the reader a flavour of each of the topics in turn while providing full references to the wider literature in an extensive bibliography. It is a perfect introduction to the area for researchers and graduate students, who will find much inspiration for their own research inside.Table of ContentsIntroduction; 1. Preliminaries; 2. Rectifiable curves; 3. One-dimensional rectifiable sets; 4. Higher dimensional rectifiable sets; 5. Uniform rectifiability; 6. Rectifiability of measures; 7. Rectifiable sets in metric spaces; 8. Heisenberg and Carnot groups; 9. Bounded analytic functions and the Cauchy transform; 10. Singular integrals; 11. Harmonic measure and elliptic measures; 12. Sets of finite perimeter and functions of bounded variation; 13. Currents and varifolds; 14. Minimizers and quasiminimizers; 15. Rectifiability of singularities; 16. Miscellaneous topics related to rectifiability; References; Index.
£60.00
Saint Philip Street Press Advanced Problems in Mathematics Preparing for University
£27.50
Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 18 1854
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£22.75
Legare Street Press Brush and Pencil 7
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£19.90
Legare Street Press A Treatise on Differential Equations and on the Calculus of Finite Differences
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£26.55
Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 18 1854
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£14.96
Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 13 1852
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£23.70
Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 17 1854
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Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 19 1855
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Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 12 1851
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£22.75
Legare Street Press A History of the Conceptions of Limits and Fluxions in Great Britain
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£25.60
Legare Street Press Problems in the Calculus With Formulas and Suggestions
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£24.65
Legare Street Press On the Direct Numerical Calculation of Elliptic Functions and Integrals
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£14.09
Legare Street Press On the Solution of a Certain Differential Equation Which Presents Itself in Laplaces Kinetic Theory of Tides microform
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£13.22
Legare Street Press The Calculus for Engineers and Physicists
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£17.95
Legare Street Press A Treatise on Differential Equations and on the Calculus of Finite Differences
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Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 16 1853
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£14.96
Legare Street Press An Elementary Treatise of the Differential and Integral Calculus
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Legare Street Press An Introduction to the Lie Theory of Oneparameter Groups
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Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 11 1851
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£13.95
Legare Street Press Life v.53 JAJE1909
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£21.80
Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 12 1851
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£14.96
Legare Street Press The Watercure Journal and Herald of Reforms Devoted to Physiology Hydropathy and the Laws of Life 14 1852
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£13.95
Legare Street Press A History of the Conceptions of Limits and Fluxions in Great Britain
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£18.95
Legare Street Press Table of Reciprocals
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Legare Street Press Das Zittern. Monographien Aus Dem Gesamtgebiet Der Neurologie Und Psychiatrie 8 electronic Resource
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£17.95
Legare Street Press The American Botanist
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Legare Street Press Problems in the Calculus With Formulas and Suggestions
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Legare Street Press Numerical Values of Certain Functions Involving E x superscript microform
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Legare Street Press Brush and Pencil 9
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Legare Street Press Life v.2 JYD1883
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LEGARE STREET PR A Course of Pure Mathematics
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LEGARE STREET PR A Course of Pure Mathematics
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LEGARE STREET PR Integral Calculus
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LEGARE STREET PR Integral Calculus
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Legare Street Press An Introduction To Abstract Harmonic Analysis
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LEGARE STREET PR An Introduction To Abstract Harmonic Analysis
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LEGARE STREET PR A Course of Modern Analysis
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LEGARE STREET PR A Course of Modern Analysis
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LEGARE STREET PR Ordinary Differential Equations
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LEGARE STREET PR A Treatise on the Integral Calculus With Applications Examples and Problems Volume 1
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LEGARE STREET PR Ordinary Differential Equations
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