springer.com Special Priced Indian Edition Mathematics and Statistics * (To be sold in India, Pakistan, Bangaldesh, Sri Lanka and Nepal) Catalogue 2014 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 springer.com Highlights (Algebra) 1 103 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 About the Book 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 ISBN: 9788181283399 in-depth enrichment and preparation for possible participation in various mathematical competitions Page: XII, 214 p. - Comprehensive introduction (first chapter) to trigonometric functions, their relations and functional Price: ` 255.00 properties, and their applications in the Euclidean plane and solid geometry expose advanced students to Market: UP college level material 103 Trigonometry Problems is a cogent problem-solving resource for advanced high Reprint Year: Mar-05 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 ISBN: 9788132202974 new theorems, including the spectral mapping theorem; corrected all known errors; the reference section Page: XVIII, 526 p. 23 has been enlarged considerably, with over a hundred references to books on linear algebra. From the illus. reviews of the second edition: “In this 2nd edition, the author has rewritten the entire book and has added Price: ` 530.00 more than 100 pages of new materials. … As in the previous edition, the text is well written and gives a Market: Open thorough discussion of many topics of linear algebra and related fields. … the exercises are rewritten and Reprint Year: Jun-11 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. 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. 2 Highlights (Algebra) springer.com 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 ISBN: 9788181281401 exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics Page: XXIII, 509 p. students in sufficient breadth and depth. Price: ` 695.00 Market: CBS Contents Reprint Year: Mar-04 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. Algebra, 3e Rev Ed 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 ISBN: 9788181281418 and interesting ideas of algebra in just the 'right' way, and he never gets bogged down in the dry formalism Page: XV, 918 p. which pervades some parts of algebra.' This book is intended as a basic text for a one-year course in Algebra Price: ` 1,095.00 at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level Market: CBS algebra. This book successfully addresses all of the basic concepts of algebra. For the new edition, the Reprint Year: Mar-04 author has added exercises and made numerous corrections to the text. Contents 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. 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. springer.com Highlights (Algebra) 3 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 ISBN: 9788132206644 platforms. Throughout the book, significant motivating examples are woven into the text, and each section Page: XII, 388 p. 27 ends with a set of exercises. The student will develop a solid foundation in the following topics: Gaussian illus. elimination and other operations with matrices; basic properties of matrix and determinant algebra; Price: ` 449.00 standard Euclidean spaces, both real and complex; geometrical aspects of vectors, such as norm, dot Market: Open product, and angle; eigenvalues, eigenvectors, and discrete dynamical systems; general norm and inner- Reprint Year: May-12 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