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springer.com * (To be sold in India, Pakistan, Bangaldesh, Sri Lanka and Nepal) Catalogue 2014
Mathematics and Statistics Contents Highlights Algebra 1 Analysis 6 Application of Mathematics 14 Graph Theory 21 Geometry 23 Statistics 25 Order Form Algebra 31 Algebraic Geometry 31 Analysis 32 Applications of Mathematics 34 Applied Statistics 35 Calculus 36 Combinatorics 36 Cryptography 37 Difference and Functional Equations 37 General Mathematics 37 Geometry 38 Graph Theory 39 Group Theory 39 Linear and Multilinear Algebras 39 Logic 40 Mathematical Biology 40 Number Theory 40 Numerical Analysis 41 Ordinary Differential Equations 41 Partial Differential Equations 41 Probability Theory 42 Quantitative Finance 42 Ring Theory 43 Set Theory 43 Statistical Theory and Methods 43 Topology 44 Distributor’s Code 47 Distributor’s Addresses 49 South Asian Retailer’s Addresses 59 1 springer.com Prices are subject to change without prior notice Mathematics and Statistics These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. 103 Trigonometry Problems: From the Training of the USA IMO Team Titu Andreescu, The University of Texas at Dallas, Richardson, TX, USA Zuming Feng, Phillips Exeter Academy, Exeter, USA
103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques. Key features: - Problem-solving tactics and strategies, along with practical test-taking techniques, provide in-depth enrichment and preparation for possible participation in various mathematical competitions - Comprehensive introduction (first chapter) to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry expose advanced students to college level material 103 Trigonometry Problems is a cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training. Contents Preface - Abbreviations and Notations - Trigonometric Problems - Introductory Problems - Advanced Problems - Solutions to Introductory Problems - Solutions to Advanced Problems - Glossary - Further Reading.
Advanced Linear Algebra, 3e Steven Roman, Irvine, CA, USA About the Book For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products); upgraded some proofs that were originally done only for finite-dimensional/rank cases; added new theorems, including the spectral mapping theorem; corrected all known errors; the reference section has been enlarged considerably, with over a hundred references to books on linear algebra. From the reviews of the second edition: “In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. … As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. … the exercises are rewritten and expanded. … Overall, I found the book a very useful one. … It is a suitable choice as a graduate text or as a reference book.” Ali-Akbar Jafarian, ZentralblattMATH “This is a formidable volume, a compendium of linear algebra theory, classical and modern … . The development of the subject is elegant … . The proofs are neat … . The exercise sets are good, with occasional hints given for the solution of trickier problems. … It represents linear algebra and does so comprehensively.” Henry Ricardo, MathDL. Contents Preface to the third edition - Preface to the second edition - Preface to the first edition - Preliminaries - Vector spaces - Linear transformations - The isomorphism theorems - Modules I: basic properties - Modules II: free and noetherian modules - Modules over a principal ideal domain - The structure of a linear operator - Eigenvalues and eigenvectors - Real and complex inner product spaces - Structure theory for normal operators - Metric vector spaces: The theory of bilinear forms - Metric spaces - Hilbert spaces - Tensor products - Positive solutions to linear systems: Convexity and separation - Affine geometry - Singular values and the moore-penrose inverse - An introduction to algebras - The umbral calculus - References - Index of symbols - Index.
255.00
Market: UP Reprint Year: Mar-05 ISBN: 9788132202974 Page: XVIII, 526 p. 23 illus.
Price: ` 530.00
Market: Open Reprint Year: Jun-11 Highlights (Algebra) springer.com 2 Mathematics and Statistics Prices are subject to change without prior notice These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. Algebra Thomas W. Hungerford, Cleveland State University, Cleveland, OH, USA About the Book Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth. Contents Prerequisites and Preliminaries - Groups - The Structure of Groups - Rings - Modules - Fields and Galois Theory - The Structure of Fields - Linear Algebra - Commutative Rings and Modules - The Structure of Rings - Categories.
Serge Lang, Yale University, New Haven, CT, USA About the Book From April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books: 'Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books.' From MathSciNet's review of the first edition: 'The author has an impressive knack for presenting the important and interesting ideas of algebra in just the 'right' way, and he never gets bogged down in the dry formalism which pervades some parts of algebra.' This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text.
Foreword - Groups - Rings - Modules - Polynomials - Algebraic Equations - Galois Theory - Extensions of Rings - Transcendental Extensions - Algebraic Spaces - Noetherian Rings and Modules - Real Fields - Absolute Values - Matrices and Linear Maps - Representation of One Endomorphism - Structure of Bilinear Forms - The Tensor Product Semisimplicity - Representations of Finite Groups - The Alternating Product - General Homology Theory - Finite Free Resolutions - Appendices - Bibliography. ISBN: 9788181281401 Page: XXIII, 509 p. Price: ` 695.00
Market: CBS Reprint Year: Mar-04 ISBN: 9788181281418 Page: XV, 918 p. Price: ` 1,095.00
Market: CBS Reprint Year: Mar-04 Highlights (Algebra) 3 springer.com Prices are subject to change without prior notice Mathematics and Statistics These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. Applied Linear Algebra and Matrix Analysis Thomas S. Shores, University of Nebraska, Lincoln, NE, USA About the Book This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one- semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises. The student will develop a solid foundation in the following topics: Gaussian elimination and other operations with matrices; basic properties of matrix and determinant algebra; standard Euclidean spaces, both real and complex; geometrical aspects of vectors, such as norm, dot product, and angle; eigenvalues, eigenvectors, and discrete dynamical systems; general norm and inner- product concepts for abstract vector spaces. For many students, the tools of matrix and linear algebra will be as fundamental in their professional work as the tools of calculus; thus it is important to ensure that students appreciate the utility and beauty of these subjects as well as the mechanics. By including applied mathematics and mathematical modeling, this new textbook will teach students how concepts of matrix and linear algebra make concrete problems workable. Thomas S. Shores is Professor of Mathematics at the University of Nebraska, Lincoln, where he has received awards for his teaching. His research touches on group theory, commutative algebra, mathematical modeling, numerical analysis, and inverse theory. Contents Preface - Linear Systems of Equations - Matrix Algebra - Vector Spaces - Geometrical Aspects of Standard Spaces - The Eigenvalue Problem - Geometrical Aspects of Abstract Spaces - Table of Symbols - Answers to Selected Exercises - References - Index. Field Theory, 2e Steven Roman, University of California at Irvine, CA, USA About the Book Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials – the Kummer theory. This new edition has been completely rewritten in order to improve the pedagogy and to make the text more accessible to graduate students. The exercises have also been improved and a new chapter on ordered fields has been included. About the first edition: ' ...the author has gotten across many important ideas and results. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study.' -J.N. Mordeson, Zentralblatt 'The book is written in a clear and explanatory style. It contains over 235 exercises which provide a challenge to the reader. The book is recommended for a graduate course in field theory as well as for independent study.' - T. Albu, MathSciNet.
Preface - Preliminaries - Polynomials - Field Extensions - Algebraic Independence - Separability - Galois Theory I - Galois Theory II - A Field Extension as a Vector Space - Finite Fields I: Basic Properties - Finite Fields II: Additional Properties - The Roots of Unity - Cyclic Extensions - Solvable Extensions - Binomials - Families of Binomials - Mobius Inversion - References - Index of Symbols - Index.
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Price: ` 449.00
Market: Open Reprint Year: May-12 ISBN: 9788132206620 Page: XII, 335 p. 18 illus.
Price: ` 349.00
Market: Open Reprint Year: May-12 Highlights (Algebra) springer.com 4 Mathematics and Statistics Prices are subject to change without prior notice These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. Introduction to Calculus and Classical Analysis, 2e Omar Hijab, Temple University, Philadelphia, PA, USA About the Book This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. The book contains many remarkable features: - complete avoidance of /epsilon-/delta arguments by instead using sequences, - definition of the integral as the area under the graph, while area is defined for EVERY subset of the plane, - complete avoidance of complex numbers, - heavy emphasis on computational problems, - applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more, - 344 problems with solutions in the back of the book, - interesting applications, many of which are not usually found in advanced calculus books About the first edition: 'The treatment, however, is far from standard, and many topics are included, especially in the last chapter, that are not available in other modern elementary texts…This is a rigorous book with good motivational material and explanatory remarks. It includes 347 problems, with solutions given in a 73-page appendix…some of the most attractive material requires considerable skill in manipulation.' D.H. Armitage (MathSciNet). New in the second edition: For the new edition, the author has corrected errors and rewritten large portions of the text. In addition, the author has introduced new topics, such as a combinatorial proof that the radius of convergence of the Bernoulli series is 2p. 'ICCA is beautifully conceived and carefully executed...[this book] has much to teach, both about mathematics and how to write mathematics.' Marvin Knopp, American Mathematical Monthly. Contents The Set of Real Numbers - Continuity - Differentiation - Integration - Applications - Solutions - References - Index.
Paul M. Cohn, University College, London, UK About the Book Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions. Contents Basics.- Linear Algebras and Artinian Rings.- Noetherian Rings.- Ring Constructions.- General Rings.- Outline Solutions.- List of Notations.- Bibliography.- Index.
429.00
Market: Open Reprint Year: Nov-11 ISBN: 9788184899696 Page: X, 229 p. Price: ` 425.00
Market: Open Reprint Year: Jan-11 Highlights (Algebra) 5 springer.com Prices are subject to change without prior notice Mathematics and Statistics These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. Linear Algebra Through Geometry, 2e Thomas Banchoff, Brown University, Providence, RI, USA John Wermer, Brown University, Providence, RI, USA
Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry. Contents Preface to the Second Edition - Acknowledgment - Vectors in the Line - The Geometry of Vectors in the Plane - Vector Geometry in 3-Space - Vector Geometry in n-Space n 4 - Vector Spaces - Vector Spaces with an Inner Product - 6.1 Orthonormal Bases - 6.2 Orthogonal Decomposition of a Vector Space - Differential Systems - Least Squares Approximation - Index.
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Price: ` 429.00
Market: Open Reprint Year: Oct-11 Highlights (Algebra) springer.com 6 Mathematics and Statistics Prices are subject to change without prior notice These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. A Course in Functional Analysis, 2e John B. Conway, University of Tennessee, Knoxville, TN, USA About the Book This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author introduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included.
Hilbert Spaces - Operators on Hilbert Space - Banach Spaces - Locally Convex Spaces - Weak Topologies - Linear Operators on a Banach Space - Banach Algebras and Spectral Theory for Operators on a Banach Space - Algebras - Normal Operators on Hilbert Space - Unbounded Operators - Fredholm Theory. An Introduction to Laplace Transforms and Fourier Series P.P.G. Dyke, University of Plymouth, UK About the Book This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace transform, the notion of Fourier series is developed from first principles. Exercises are provided to consolidate understanding of the concepts and techniques, and only a knowledge of elementary calculus and trigonometry is assumed. For second and third year students looking for a rigorous and practical introduction to the subject, this book will be an invaluable source.
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