Complex analysis, complex variables Books
Taylor & Francis Ltd Real and Complex Analysis
a huge range and FREE tracked UK delivery on ALL orders.
£58.89
Taylor & Francis Ltd An Introduction to Complex Analysis and the Laplace Transform
a huge range and FREE tracked UK delivery on ALL orders.
£105.00
Cambridge University Press Intro to Hp Spaces 2ed 115 Cambridge Tracts in Mathematics Series Number 115
a huge range and FREE tracked UK delivery on ALL orders.
£33.24
Cambridge University Press Spectral Thry Riemann ZetaFunction 127 Cambridge Tracts in Mathematics Series Number 127
a huge range and FREE tracked UK delivery on ALL orders.
£49.39
Cambridge University Press Cauchy and the Creation of Complex Function Theory
Book SynopsisDr Smithies analyses the process whereby Cauchy created one of the most important branch of mathematics discovered in the nineteenth century. It is the first book to make use of the whole spectrum of available original sources, and will be recognised as the authoritative work on the creation of complex function theory.Trade ReviewReview of the hardback: 'This exemplary book is the first thorough and comprehensive presentation of Cauchy's creation between 1814 and 1831, of complex function theory … the papers form a diary that testifies to the gradual development of a new field in the mind of an outstanding mathematician.' D. Laugwitz, DarmstadtReview of the hardback: ' … an invaluable guide to anyone interested in the work of a great mathematician'. Jeremy Gray, The Open UniversityReview of the hardback: 'This book is a welcome contribution to the history of mathematical ideas. It is carefully written … in the case of a great mathematician of the first half of the nineteenth century, it is very useful to have a book analyzing his ideas. Smithie's book helps us understand the technical achievements of Cauchy in founding the theory of complex functions.' The Mathematical GazetteReview of the hardback: '… new light is thrown on Cauchy's thinking.' L'Enseignment MathématiqueReview of the hardback: '… a unique source not only for the historians of mathematics but to all who are fascinated by the beauty of the complex function theory.' European Mathematical SocietyTable of Contents1. Introduction; 2. The background to Cauchy's work on complex function theory; 3. Cauchy's 1814 memoir on definite integrals; 4. Miscellaneous contributions (1815–1825); 5. The 1825 memoir and associated papers; 6. The calculus of residues; 7. The Lagrange series and the Turin memoirs; 8. Summary and conclusions; References.
£44.64
Cambridge University Press Automorphic Forms on SL2 R Cambridge Tracts in Mathematics Series Number 130
a huge range and FREE tracked UK delivery on ALL orders.
£48.44
Cambridge University Press Conformal Representation
Book SynopsisProfessor Carathéodory sets out the basic theory of conformal representations as simply as possible. In the early chapters on Mobius' and other elementary transformations and on non-Euclidean geometry, he deals with those elementary subjects that are necessary for an understanding of the general theory discussed in the remaining chapters.Table of Contents1. Mobius Transformation; 2. Non-Euclidean Geometry; 3. Elementary Transformations; 4. Schwarz's Lemma; 5. The Fundamental Theorems of Conformal Representation; 6. Transformation of the Frontier; 7. Transformation of Closed Surfaces; 8. The General Theorem of Uniformisation.
£35.14
Cambridge University Press Classical and Quantum Orthogonal Polynomials in One Variable 98 Encyclopedia of Mathematics and its Applications Series Number 98
a huge range and FREE tracked UK delivery on ALL orders.
£73.30
Cambridge University Press Complex Variable Theory and Transform Calculus With Technical Applications
a huge range and FREE tracked UK delivery on ALL orders.
£45.59
Cambridge University Press Several Complex Variables and Complex Manifolds II In Two Parts 66 London Mathematical Society Lecture Note Series Series Number 66
a huge range and FREE tracked UK delivery on ALL orders.
£50.95
Cambridge University Press Complex Functions
Book SynopsisIn this book the authors give elementary accounts of many aspects of classical complex function theory including Möbius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. A distinctive feature of their presentation is the way in which they have incorporated into the text many interesting topics from other branches of mathematics.Trade Review"...a very nice treatment which emphasizes the unity of mathematics...Several years ago the reviewer wanted to teach an undergraduate course that gave an introduction to hyperbolic geometry, Möbius transformations and discrete groups. There was no suitable undergraduate text. This book fills that void," Mathematical Reviews"Well motivated with good selection of problems at the end of each chapter." American Mathematical Monthly"...clear and well written...Its message, admirably conveyed, is that mathematics is not a collection of neat parcels, the contents of one being blind to the contents of another." Times Higher Education Supplement"...clearly presented...a delightful book..." American ScientistTable of ContentsIntroduction; 1. The Riemann sphere; 2. Möbius transformations; 3. Elliptic functions; 4. Meromorphic continuation and Riemann surfaces; 5. PSL(2,R) and its discrete subgroups; 6. The modular group; Appendices; References; Index of symbols; Index of names and definitions.
£54.14
Cambridge University Press Spectral Theory of the Riemann ZetaFunction 127 Cambridge Tracts in Mathematics Series Number 127
Book SynopsisThe Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. The story starts with an elementary but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. This is achieved by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory as well. These ideas are then utilized to unveil an image of the zeta-function, first perceived by the author, revealing it to be the main gem of a necklace composed of all automorphic L-functions. In this book, readers will find a detailed account of one of the most fascinating stories in the develoTrade ReviewReview of the hardback: '… gives an excellent presentation of the interplay between the Riemann zeta function and automorphic forms … nicely written and of great interest for any number theorists.' R. Tichy, International Mathematical NewsTable of Contents1. Non-Euclidean harmonics; 2. Trace formulas; 3. Automorphic L-functions; 4. An explicit formula; 5. Asymptotics; References; Index.
£105.45
Cambridge University Press Potential Theory in the Complex Plane
a huge range and FREE tracked UK delivery on ALL orders.
£47.49
Cambridge University Press LMS 199 Invariant Potential Theory London Mathematical Society Lecture Note Series Series Number 199
a huge range and FREE tracked UK delivery on ALL orders.
£45.16
Cambridge University Press An Introduction to the Theory of the Riemann ZetaFunction 14 Cambridge Studies in Advanced Mathematics Series Number 14
a huge range and FREE tracked UK delivery on ALL orders.
£46.54
Cambridge University Press Introduction to Compact Riemann Surfaces and Dessins dEnfants 79 London Mathematical Society Student Texts Series Number 79
a huge range and FREE tracked UK delivery on ALL orders.
£100.70
Cambridge University Press Complex Variables Introduction and Applications Second Edition 35 Cambridge Texts in Applied Mathematics Series Number 35
Book SynopsisComplex variables provide powerful methods for attacking many difficult problems, and it is the aim of this book to provide a thorough grounding in these methods and their application. This 2003 edition was improved throughout and is ideal for use in undergraduate and introductory graduate courses in complex variables.Trade Review'… an excellent text, and one of the most complete and well-written books on complex variables I have seen … The index is nicely composed, complete, and accurate … useful as a reference … I highly recommend it to anyone interested in the subject and have placed it prominently upon my reference bookshelf.' Duwayne Anderson, Optics and Photonics News'… an excellent text, and one of the most complete and well-written books on complex variables I have seen … I highly recommend it to anyone interested in the subject…'. Optics and Photonics News'Overall the book feels 'road-tested' both in the lecture theatre and in the crucible of research and the clear well-written text is complemented by a superb collection of worked examples and exercises ranging in scope from routine applications of techniques to more substantial illustrations of the theory.' The Mathematical Gazette'… the book is valuable for students in engineering and physical sciences.' ZAMMTable of ContentsPart I: 1. Complex numbers and elementary functions; 2. Analytic functions and integration; 3. Sequences, series and singularities of complex functions; 4. Residue calculus and applications of contour integration; Part II: 5. Conformal mapping and applications; 6. Asymptotic evaluation of integrals; 7. Riemann–Hilbert problems; Index.
£66.49
Cambridge University Press Singular Points of Plane Curves 63 London Mathematical Society Student Texts Series Number 63
a huge range and FREE tracked UK delivery on ALL orders.
£65.54
Cambridge University Press Cauchy and the Creation of Complex Function Theory
a huge range and FREE tracked UK delivery on ALL orders.
£105.45
Cambridge University Press Fundamentals of Hyperbolic Manifolds Selected Expositions London Mathematical Society Lecture Note Series Series Number 328
a huge range and FREE tracked UK delivery on ALL orders.
£79.10
Cambridge University Press Complexity Hierarchical Structures Hierarchical Structures and Scaling in Physics 6 Cambridge Nonlinear Science Series Series Number 6
a huge range and FREE tracked UK delivery on ALL orders.
£57.57
Cambridge University Press Heights in Diophantine Geometry 4 New Mathematical Monographs Series Number 4
a huge range and FREE tracked UK delivery on ALL orders.
£62.69
Cambridge University Press Harmonic Measure New Mathematical Monographs Series Number 2
a huge range and FREE tracked UK delivery on ALL orders.
£62.54
Cambridge University Press Geometry of Riemann Surfaces Proceedings of the Anogia Conference to Celebrate the 65th Birthday of William J Harvey 368 London Mathematical Society Lecture Note Series Series Number 368
a huge range and FREE tracked UK delivery on ALL orders.
£55.91
Cambridge University Press Introduction to Compact Riemann Surfaces and Dessins dEnfants 79 London Mathematical Society Student Texts Series Number 79
Book SynopsisFew books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this 2011 book, the authors begin with an elementary account of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups of finite type. They then use this knowledge to introduce the reader to the theory of dessins d'enfants and its connection with algebraic curves defined over number fields. A large number of worked examples are provided to aid understanding, so no experience beyond the undergraduate level is required. Readers without any previous knowledge of the field of dessins d'enfants are taken rapidly to the forefront of current research.Trade Review"Overall the text is very well written and easy to follow, partly due to the abundance of good concrete examples in every single section illustrating concepts from the very basic to the very technical." Aaron D. Wootton, Mathematical ReviewsTable of Contents1. Riemann surfaces and algebraic curves; 2. Riemann surfaces and Fuchsian groups; 3. Belyi's theorem; 4. Dessins d'enfants; References; Index.
£46.54
Cambridge University Press Several Complex Variables
a huge range and FREE tracked UK delivery on ALL orders.
£151.05
Cambridge University Press Elliptic Functions 67 London Mathematical Society Student Texts Series Number 67
Book SynopsisThis 2006 treatment of Jacobi elliptic functions seeks to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' A rich variety of applications of the elliptic and related functions are also presented.Trade Review'This solid text is a good place to start when working with elliptic functions and it is the sort of book that you will keep coming back to as reference text.' Mathematics TodayTable of Contents1. The 'simple' pendulum; 2. Jacobian elliptic functions of a complex variable; 3. General properties of elliptic functions; 4. Theta functions; 5. The Jacobian elliptic functions for complex k; 6. Introduction to transformation theory; 7. The Weierstrass elliptic functions; 8. Elliptic integrals; 9. Applications of elliptic functions in geometry; 10. An application of elliptic functions in algebra solution of the general quintic equation; 11. An arithmetic application of elliptic functions; 12. Applications in mechanics and statistics and other topics; Appendix; Bibliography.
£166.25
Cambridge University Press Elliptic Functions 67 London Mathematical Society Student Texts Series Number 67
a huge range and FREE tracked UK delivery on ALL orders.
£44.64
Cambridge University Press Characters and Automorphism Groups of Compact Riemann Surfaces 280 London Mathematical Society Lecture Note Series Series Number 280
Book SynopsisUsing modern methods from computational group theory and representation theory, this book addresses a classical topic in the theory of complex functions. It is suitable for graduate students and researchers.Trade Review'… by bringing together a number of very effective techniques, and by presenting a mass of specific evidence, Breuer has done the mathematical community a considerable service … the presentation of the material is excellent, with attractive layout … a valuable addition to the literature, which should be essential reading for anyone interested in the connections between Riemann surfaces and finite groups.' G. Jones, Proceedings of the Edinburgh Mathematical SocietyTable of ContentsPreface; Notation; 1. Compact Riemann surfaces; 2. Group characters; 3. Automorphisms of compact Riemann surfaces; 4. Generation of groups; 5. Classification for small genus; 6. Classification for fixed group: real characters; 7. Classification for fixed group: nonreal irrationalities; Appendix A. Abelian inariants; Appendix B. Irreducible characters; Appendix C. Maillet's determinant; Bibliography; Index.
£57.57
Cambridge University Press Complex Analysis Cambridge Studies in Advanced
Book SynopsisWritten by a master of the subject, this text will be appreciated by students and experts for the way it develops the classical theory of functions of a complex variable in a clear and straightforward manner. In general, the approach taken here emphasises geometrical aspects of the theory in order to avoid some of the topological pitfalls associated with this subject. Thus, Cauchy's integral formula is first proved in a topologically simple case from which the author deduces the basic properties of holomorphic functions. Starting from the basics, students are led on to the study of conformal mappings, Riemann's mapping theorem, analytic functions on a Riemann surface, and ultimately the RiemannâRoch and Abel theorems. Profusely illustrated, and with plenty of examples, and problems (solutions to many of which are included), this book should be a stimulating text for advanced courses in complex analysis.Trade Review'While most of the material included in the first part could be used in a basic course on complex analysis, the whole book could serve as a text for an advanced course on Riemann surfaces. The book contains many pictures (helping to build geometric intuition) and problems (elementary and advanced). The book could be very helpful for students as well as for experts in the field.' European Mathematical Society NewsletterTable of Contents1. Holomorphic functions; 2. Cauchy's theorem; 3. Conformal mappings; 4. Analytic continuation; 5. Riemann's mapping theorem; 6. Riemann surfaces; 7. The structure of Riemann surfaces; 8. Analytic functions on a closed Riemann surface.
£69.34
Cambridge University Press An Introduction to Involutive Structures 6 New Mathematical Monographs Series Number 6
a huge range and FREE tracked UK delivery on ALL orders.
£122.55
Cambridge University Press Equivalents of the Riemann Hypothesis Volume 3 Further Steps towards Resolving the Riemann Hypothesis
a huge range and FREE tracked UK delivery on ALL orders.
£142.50
Cambridge University Press Numbers and Functions
Book SynopsisIn this updated edition of Numbers and Functions, the reader is invited to tackle each of the key concepts of mathematical analysis in turn, progressing from experience through a structured sequence of over 800 problems to concepts, definitions and proofs of classical real analysis.Trade Review'This third edition of Numbers and Functions continues the author's long-term commitment to support every reader in making sense of mathematics by responding to a succession of well-chosen questions that encourage personal reflection and discussion with others. Groups of questions are followed by a summary to build the bigger picture. Every chapter includes details of the historical development and ends with a full list of solutions. The author is aware of the difficulties that students encounter with the complexity of the limit concept and begins with a pragmatic approach to null sequences. This broadens into a full study of limits of sequences, completeness, and a full range of tests for convergence of infinite series … This latest edition maintains the original chapters of the original, while benefiting from detailed improvements that have arisen from the experience of many readers. Thoroughly recommended.' David Tall, University of Warwick'… written in a very comprehensible but exact way … an excellent guide through the basic course of mathematical analysis at university.' European Mathematical Society NewsletterTable of ContentsPreface to first edition; Preface to second edition; Preface to third edition; Glossary; Part I. Numbers: 1 Mathematical induction; 2. Inequalities; 3. Sequences: a first bite at infinity; 4. Completeness: what the rational numbers lack; 5. Series: infinite sums; Part II. Functions: 6. Functions and continuity: neighbourhoods, limits of functions; 7. Continuity and completeness: functions on intervals; 8. Derivatives: tangents; 9. Differentiation and completeness: mean value theorems, Taylor's Theorem; 10. Integration: the fundamental theorem of calculus; 11. Indices and circle functions; 12. Sequences of functions; Appendix 1. Properties of the real numbers; Appendix 2. Geometry and intuition; Appendix 3. Questions for student investigation and discussion; Bibliography; Index.
£44.64
McGraw-Hill Education - Europe Students Solutions Manual to accompany Complex
Book Synopsis
£216.24
