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Books > Science & Mathematics > Mathematics > Geometry > General

Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves (Hardcover): Yong-Geun Oh Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves (Hardcover)
Yong-Geun Oh
R2,733 Discovery Miles 27 330 Ships in 12 - 17 working days

This is the first book to provide a systematic explanation of both the problems of symplectic topology, and analytical details and techniques in applying the machinery embedded in the Floer theory as a whole. It provides a self-contained exposition of all foundational materials of Floer theory and its applications to various problems arising in symplectic topology. The author gives complete analytic details assuming the reader's knowledge of basic elliptic theory of (first-order) partial differential equations, second-year graduate differential geometry and first-year algebraic topology. He motivates various constructions appearing in Floer theory from the historical context of Lagrange Hamilton's variational principle and Hamiltonian mechanics. He also provides 100 exercises so that readers can test their understanding. The book is a comprehensive resource suitable for experts and newcomers alike."

Exploring Scale Symmetry (Hardcover): Thomas Lowe Exploring Scale Symmetry (Hardcover)
Thomas Lowe
R1,853 Discovery Miles 18 530 Ships in 10 - 20 working days

Welcome to the world of scale symmetry, the last elementary symmetry and the least explored!Find out how this long-neglected element transforms the traditional geometry of lines and planes into a rich landscape of trees, craggy mountains and rolling oceans.Enjoy a visual exploration through the intricate and elaborate structures of scale-symmetric geometry. See unique fractals, Mandelboxes, and automata and physical behaviors. Take part in the author's forage into the lesser-trodden regions of this landscape, and discover unusual and attractive specimens!You will also be provided with all the tools needed to recreate the structures yourself.Every example is new and developed by the author, and is chosen because it pushes the field of scale-symmetric geometry into a scarcely explored region. The results are complex and intricate but the method of generation is often simple, which allows it to be presented graphically without depending on too much mathematical syntax. If you are interested in the mathematics, science and art of scale symmetry, then read on!This is also a book for programmers and for hobbyists: those of us who like to dabble with procedural imagery and see where it leads.

Asymptotic, Algebraic and Geometric Aspects of Integrable Systems - In Honor of Nalini Joshi On Her 60th Birthday, TSIMF,... Asymptotic, Algebraic and Geometric Aspects of Integrable Systems - In Honor of Nalini Joshi On Her 60th Birthday, TSIMF, Sanya, China, April 9-13, 2018 (Hardcover, 1st ed. 2020)
Frank Nijhoff, Yang Shi, Dajun Zhang
R3,336 Discovery Miles 33 360 Ships in 12 - 17 working days

This proceedings volume gathers together selected works from the 2018 "Asymptotic, Algebraic and Geometric Aspects of Integrable Systems" workshop that was held at TSIMF Yau Mathematical Sciences Center in Sanya, China, honoring Nalini Joshi on her 60th birthday. The papers cover recent advances in asymptotic, algebraic and geometric methods in the study of discrete integrable systems. The workshop brought together experts from fields such as asymptotic analysis, representation theory and geometry, creating a platform to exchange current methods, results and novel ideas. This volume's articles reflect these exchanges and can be of special interest to a diverse group of researchers and graduate students interested in learning about current results, new approaches and trends in mathematical physics, in particular those relevant to discrete integrable systems.

The Geometry of Multivariate Statistics (Paperback): Thomas D. Wickens The Geometry of Multivariate Statistics (Paperback)
Thomas D. Wickens
R1,242 Discovery Miles 12 420 Ships in 12 - 17 working days

A traditional approach to developing multivariate statistical theory is algebraic. Sets of observations are represented by matrices, linear combinations are formed from these matrices by multiplying them by coefficient matrices, and useful statistics are found by imposing various criteria of optimization on these combinations. Matrix algebra is the vehicle for these calculations. A second approach is computational. Since many users find that they do not need to know the mathematical basis of the techniques as long as they have a way to transform data into results, the computation can be done by a package of computer programs that somebody else has written. An approach from this perspective emphasizes how the computer packages are used, and is usually coupled with rules that allow one to extract the most important numbers from the output and interpret them. Useful as both approaches are--particularly when combined--they can overlook an important aspect of multivariate analysis. To apply it correctly, one needs a way to conceptualize the multivariate relationships that exist among variables. This book is designed to help the reader develop a way of thinking about multivariate statistics, as well as to understand in a broader and more intuitive sense what the procedures do and how their results are interpreted. Presenting important procedures of multivariate statistical theory geometrically, the author hopes that this emphasis on the geometry will give the reader a coherent picture into which all the multivariate techniques fit.

Topological Persistence in Geometry and Analysis (Paperback): Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang Topological Persistence in Geometry and Analysis (Paperback)
Leonid Polterovich, Daniel Rosen, Karina Samvelyan, Jun Zhang
R1,224 R1,120 Discovery Miles 11 200 Save R104 (8%) Ships in 12 - 17 working days

The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research. In particular, the authors present applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and embedding problems. Furthermore, they discuss topological function theory, which provides new insight into oscillation of functions. The book is accessible to readers with a basic background in algebraic and differential topology.

A Treatise on the Line Complex (Paperback): C.M. Jessop A Treatise on the Line Complex (Paperback)
C.M. Jessop
R935 Discovery Miles 9 350 Ships in 12 - 17 working days

Originally published in 1903, this book contains a summary of the contemporary research on the theory of line-geometry. Jessop illustrates the text with many diagrams and various examples of how line theory can be applied. This book will be of particular value to anyone with an interest in the history of mathematics.

An Introduction to the Mathematics of Map Projections (Paperback): R. K. Melluish An Introduction to the Mathematics of Map Projections (Paperback)
R. K. Melluish
R845 Discovery Miles 8 450 Ships in 12 - 17 working days

Originally published in 1931 as a guide for mathematically-minded geography students, this book addresses the mathematical theories underlying the construction of maps. Melluish reviews the problems inherent in depicting a sphere on a flat plane and the various ways in which these problems can be solved by varying projections. This book will be of value to anyone with an interest in the mathematical underpinnings of maps.

Symplectic, Poisson, and Noncommutative Geometry (Hardcover): Tohru Eguchi, Yakov Eliashberg, Yoshiaki Maeda Symplectic, Poisson, and Noncommutative Geometry (Hardcover)
Tohru Eguchi, Yakov Eliashberg, Yoshiaki Maeda
R2,360 Discovery Miles 23 600 Ships in 12 - 17 working days

Symplectic geometry originated in physics, but it has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics. Noncommutative geometry has developed an alternative mathematical quantization scheme based on a geometric approach to operator algebras. Deformation quantization, a blend of symplectic methods and noncommutative geometry, approaches quantum mechanics from a more algebraic viewpoint, as it addresses quantization as a deformation of Poisson structures. This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology (honoring Alan Weinstein, one of the key figures in the field) and Symplectic Geometry, Noncommutative Geometry and Physics. The chapters include presentations of previously unpublished results and comprehensive reviews, including recent developments in these areas.

Number Theory, Fourier Analysis and Geometric Discrepancy (Paperback): Giancarlo Travaglini Number Theory, Fourier Analysis and Geometric Discrepancy (Paperback)
Giancarlo Travaglini
R629 Discovery Miles 6 290 Ships in 12 - 17 working days

The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions."

Number Theory, Fourier Analysis and Geometric Discrepancy (Hardcover): Giancarlo Travaglini Number Theory, Fourier Analysis and Geometric Discrepancy (Hardcover)
Giancarlo Travaglini
R2,631 Discovery Miles 26 310 Ships in 12 - 17 working days

The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions."

Henry P. McKean Jr. Selecta (Hardcover, 1st ed. 2015): F. Alberto Grunbaum, Pierre Van Moerbeke, Victor H. Moll Henry P. McKean Jr. Selecta (Hardcover, 1st ed. 2015)
F. Alberto Grunbaum, Pierre Van Moerbeke, Victor H. Moll
R2,670 Discovery Miles 26 700 Ships in 12 - 17 working days

This volume presents a selection of papers by Henry P. McKean, which illustrate the various areas in mathematics in which he has made seminal contributions. Topics covered include probability theory, integrable systems, geometry and financial mathematics. Each paper represents a contribution by Prof. McKean, either alone or together with other researchers, that has had a profound influence in the respective area.

Rigid Geometry of Curves and Their Jacobians (Hardcover, 1st ed. 2016): Werner L utkebohmert Rigid Geometry of Curves and Their Jacobians (Hardcover, 1st ed. 2016)
Werner L utkebohmert
R3,087 Discovery Miles 30 870 Ships in 12 - 17 working days

This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of curves with split rational reduction there is a complete analogue to the fascinating theory of Riemann surfaces. In the case of proper smooth group varieties the uniformization and the construction of abelian varieties are treated in detail. Rigid geometry was established by John Tate and was enriched by a formal algebraic approach launched by Michel Raynaud. It has proved as a means to illustrate the geometric ideas behind the abstract methods of formal algebraic geometry as used by Mumford and Faltings. This book should be of great use to students wishing to enter this field, as well as those already working in it.

Harmonic Maps, Conservation Laws and Moving Frames (Hardcover, 2nd Revised edition): Frederic Helein Harmonic Maps, Conservation Laws and Moving Frames (Hardcover, 2nd Revised edition)
Frederic Helein
R2,364 Discovery Miles 23 640 Ships in 12 - 17 working days

This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces.

Geometrical Vectors (Paperback, New): Gabriel Weinreich Geometrical Vectors (Paperback, New)
Gabriel Weinreich
R804 Discovery Miles 8 040 Ships in 7 - 11 working days

Physics/Mathematics

Every advanced undergraduate and graduate student of physics must master the concepts of vectors and vector analysis. Yet most textbooks cover this topic by merely repeating the introductory-level treatment based on a limited algebraic or analytic view of the subject.

By contrast, Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition.

Written in an informal and personal style, Geometrical Vectors provides a handy guide for any student of vector analysis. Clear, carefully constructed line drawings illustrate key points in the text, and a set of problems is provided at the end of each chapter (except the Epilogue) to deepen understanding of the material presented. Pertinent physical examples are cited to show how geometrically informed methods of vector analysis may be applied to situations of special interest to physicists.

A Functorial Model Theory - Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos... A Functorial Model Theory - Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos (Hardcover)
Cyrus F Nourani
R3,088 Discovery Miles 30 880 Ships in 12 - 17 working days

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.

Random Geometrically Graph Directed Self-Similar Multifractals (Paperback): Lars Olsen Random Geometrically Graph Directed Self-Similar Multifractals (Paperback)
Lars Olsen
R1,452 Discovery Miles 14 520 Ships in 12 - 17 working days

Multifractal theory was introduced by theoretical physicists in 1986. Since then, multifractals have increasingly been studied by mathematicians. This new work presents the latest research on random results on random multifractals and the physical thermodynamical interpretation of these results. As the amount of work in this area increases, Lars Olsen presents a unifying approach to current multifractal theory. Featuring high quality, original research material, this important new book fills a gap in the current literature available, providing a rigorous mathematical treatment of multifractal measures.

Topics on Continua (Paperback): Sergio Macias Topics on Continua (Paperback)
Sergio Macias
R1,452 Discovery Miles 14 520 Ships in 12 - 17 working days

Specialized as it might be, continuum theory is one of the most intriguing areas in mathematics. However, despite being popular journal fare, few books have thoroughly explored this interesting aspect of topology. In Topics on Continua, Sergio Macias, one of the field's leading scholars, presents four of his favorite continuum topics: inverse limits, Jones's set function T, homogenous continua, and n-fold hyperspaces, and in doing so, presents the most complete set of theorems and proofs ever contained in a single topology volume. Many of the results presented have previously appeared only in research papers, and some appear here for the first time. After building the requisite background and exploring the inverse limits of continua, the discussions focus on Professor Jones's set function T and continua for which T is continuous. An introduction to topological groups and group actions lead to a proof of Effros's Theorem, followed by a presentation of two decomposition theorems. The author then offers an in-depth study of n-fold hyperspaces. This includes their general properties, conditions that allow points of n-fold symmetric products to be arcwise accessible from their complement, points that arcwise disconnect the n-fold hyperspaces, the n-fold hyperspaces of graphs, and theorems relating n-fold hyperspaces and cones. The concluding chapter presents a series of open questions on each topic discussed in the book. With more than a decade of teaching experience, Macias is able to put forth exceptionally cogent discussions that not only give beginning mathematicians a strong grounding in continuum theory, but also form an authoritative, single-source guide through some of topology's most captivating facets.

Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties (Hardcover): Feyzi Basar, Hemen Dutta Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties (Hardcover)
Feyzi Basar, Hemen Dutta
R3,581 Discovery Miles 35 810 Ships in 12 - 17 working days

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several geometric properties of summable spaces, as well as dealing with the construction of summable spaces using Orlicz functions, and explores several structural properties of such spaces. Each chapter contains a conclusion section highlighting the importance of results, and points the reader in the direction of possible new ideas for further study. Features Suitable for graduate schools, graduate students, researchers and faculty, and could be used as a key text for special Analysis seminars Investigates different types of summable spaces and computes their duals Characterizes several matrix classes transforming one summable space into other Discusses several geometric properties of summable spaces Examines several possible generalizations of Orlicz sequence spaces

Geometry of Time and Space (Paperback): Alfred A. Robb Geometry of Time and Space (Paperback)
Alfred A. Robb
R1,281 Discovery Miles 12 810 Ships in 12 - 17 working days

Alfred Robb (1873-1936) was a British physicist who worked extensively in the area of special relativity. Originally published in 1936, this book essentially formed a second edition to Robb's A Theory of Time and Space (1914). The alteration in the title was made since it was thought the word 'geometry' better reflected the contents of the text. A considerable amount of fresh material was introduced for the second edition, with the introduction being rewritten and extended, whilst the proofs of a number of theorems were curtailed and simplified. This book will be of value to anyone with an interest in special relativity and the history of science.

Topology Through Inquiry (Paperback): Michael Starbird, Francis Su Topology Through Inquiry (Paperback)
Michael Starbird, Francis Su
R1,329 R1,223 Discovery Miles 12 230 Save R106 (8%) Ships in 12 - 17 working days

Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning--of mathematics and beyond--joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.

Convex Bodies: The Brunn-Minkowski Theory (Hardcover, 2nd Revised edition): Rolf Schneider Convex Bodies: The Brunn-Minkowski Theory (Hardcover, 2nd Revised edition)
Rolf Schneider
R2,983 Discovery Miles 29 830 Ships in 12 - 17 working days

At the heart of this monograph is the Brunn-Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notions of mixed volume and mixed area measure arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered here in detail. The author presents a comprehensive introduction to convex bodies, including full proofs for some deeper theorems. The book provides hints and pointers to connections with other fields and an exhaustive reference list. This second edition has been considerably expanded to reflect the rapid developments of the past two decades. It includes new chapters on valuations on convex bodies, on extensions like the Lp Brunn-Minkowski theory, and on affine constructions and inequalities. There are also many supplements and updates to the original chapters, and a substantial expansion of chapter notes and references.

Apollonii Pergaei quae Graece exstant cum commentariis antiquis: Volume 1 (Paperback): Apollonius of Perga, Johan Ludvig Heiberg Apollonii Pergaei quae Graece exstant cum commentariis antiquis: Volume 1 (Paperback)
Apollonius of Perga, Johan Ludvig Heiberg
R871 Discovery Miles 8 710 Ships in 12 - 17 working days

The Greek astronomer and geometrician Apollonius of Perga (c.262-c.190 BCE) produced pioneering written work on conic sections in which he demonstrated mathematically the generation of curves and their fundamental properties. His innovative terminology gave us the terms 'ellipse', 'hyperbola' and 'parabola'. The Danish scholar Johan Ludvig Heiberg (1854-1928), a professor of classical philology at the University of Copenhagen, prepared important editions of works by Euclid, Archimedes and Ptolemy, among others. Published between 1891 and 1893, this two-volume work contains the definitive Greek text of the first four books of Apollonius' treatise together with a facing-page Latin translation. (The fifth, sixth and seventh books survive only in Arabic translation, while the eighth is lost entirely.) Volume 1 contains the first three books, with the editor's introductory matter in Latin.

Apollonii Pergaei quae Graece exstant cum commentariis antiquis: Volume 2 (Paperback): Apollonius of Perga, Johan Ludvig Heiberg Apollonii Pergaei quae Graece exstant cum commentariis antiquis: Volume 2 (Paperback)
Apollonius of Perga, Johan Ludvig Heiberg
R870 Discovery Miles 8 700 Ships in 12 - 17 working days

The Greek astronomer and geometrician Apollonius of Perga (c.262-c.190 BCE) produced pioneering written work on conic sections in which he demonstrated mathematically the generation of curves and their fundamental properties. His innovative terminology gave us the terms 'ellipse', 'hyperbola' and 'parabola'. The Danish scholar Johan Ludvig Heiberg (1854-1928), a professor of classical philology at the University of Copenhagen, prepared important editions of works by Euclid, Archimedes and Ptolemy, among others. Published between 1891 and 1893, this two-volume work contains the definitive Greek text of the first four books of Apollonius' treatise together with a facing-page Latin translation. (The fifth, sixth and seventh books survive only in Arabic translation, while the eighth is lost entirely.) Volume 2 contains the fourth book in addition to other Greek fragments and ancient commentaries, notably that of Eutocius, as well as the editor's Latin prolegomena comparing the various manuscript sources.

Lilawati; or a Treatise on Arithmetic and Geometry (Paperback): Bhascara Acharya Lilawati; or a Treatise on Arithmetic and Geometry (Paperback)
Bhascara Acharya; Translated by John Taylor
R602 Discovery Miles 6 020 Ships in 12 - 17 working days

An important mathematician and astronomer in medieval India, Bhascara Acharya (1114 85) wrote treatises on arithmetic, algebra, geometry and astronomy. He is also believed to have been head of the astronomical observatory at Ujjain, which was the leading centre of mathematical sciences in India. Forming part of his Sanskrit magnum opus Siddh nta Shiromani, the present work is his treatise on arithmetic, including coverage of geometry. It was first published in English in 1816 after being translated by the East India Company surgeon John Taylor (d.1821). Used as a textbook in India for centuries, it provides the basic mathematics needed for astronomy. Topics covered include arithmetical terms, plane geometry, solid geometry and indeterminate equations. Of enduring interest in the history of mathematics, this work also contains Bhascara's pictorial proof of Pythagoras' theorem.

The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies - Being Part II of a Treatise on the Whole Subject... The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies - Being Part II of a Treatise on the Whole Subject (Paperback)
Edward John Routh
R876 Discovery Miles 8 760 Ships in 12 - 17 working days

As senior wrangler in 1854, Edward John Routh (1831-1907) was the man who beat James Clerk Maxwell in the Cambridge mathematics tripos. He went on to become a highly successful coach in mathematics at Cambridge, producing a total of twenty-seven senior wranglers during his career - an unrivalled achievement. In addition to his considerable teaching commitments, Routh was also a very able and productive researcher who contributed to the foundations of control theory and to the modern treatment of mechanics. First published in one volume in 1860, this textbook helped disseminate Routh's investigations into stability. This revised fifth edition was published in two volumes between 1891 and 1892. The second part develops the extensive coverage of dynamics, providing formulae and examples throughout. While the growth of modern physics and mathematics may have forced out the problem-based mechanics of Routh's textbooks from the undergraduate syllabus, the utility and importance of his work is undiminished.

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