Автор: Richard A. Silverman Название: Modern Calculus and Analytic Geometry ISBN: 0486421007 ISBN-13(EAN): 9780486421001 Издательство: Dover Рейтинг: Цена: 5925 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory -- many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.
Автор: Spain Barry Название: Tensor Calculus: A Concise Course ISBN: 0486428311 ISBN-13(EAN): 9780486428314 Издательство: Dover Рейтинг: Цена: 1372 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "This book will prove to be a good introduction, both for the physicist who wishes to make applications and for the mathematician who prefers to have a short survey before taking up one of the more voluminous textbooks on differential geometry." -- MathSciNet (Mathematical Reviews on the Web), American Mathematical Society A compact exposition of the fundamental results in the theory of tensors, this text also illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and relativity. The first five chapters--comprising tensor algebra, the line element, covariant differentiation, geodesics and parallelism, and curvature tensor--develop their subjects without undue rigor. The final three chapters function independently of each other and cover Euclidean three-dimensional differential geometry, Cartesian tensors and elasticity, and the theory of relativity. Both special and general theories of relativity are reviewed, with introductory material for readers unfamiliar with the concepts.
Автор: Stein, Sherman Название: Calculus in the First Three Dimensions ISBN: 0486801144 ISBN-13(EAN): 9780486801148 Издательство: Dover Рейтинг: Цена: 4131 р. Наличие на складе: Поставка под заказ.
Описание: This introduction to calculus is designed for beginning college undergraduates majoring in mathematics as well as undergraduates pursuing other areas of science and engineering for whom calculus will be a vital tool. The three-part treatment begins by exploring the core of the calculus, concentrating on three basic ideas: the definite integral, the derivative, and the fundamental theorem of calculus. Part Two takes up topics such as the maximum and minimum of a function, Taylor's series, partial derivatives, differentiation of vectors, and Green's theorem in the plane. Part Three, which contains no further mathematical development, applies the techniques developed earlier to significant problems in the natural, social, and physical sciences. Appendixes supplement the treatment, offering helpful information on the rudiments of analytic geometry, real numbers, and functions. Numerous examples and exercises appear throughout the text, and solutions to the problems are available as free downloads from the Dover website.
Автор: Lichnerowicz, A. Название: Elements of Tensor Calculus ISBN: 0486805174 ISBN-13(EAN): 9780486805177 Издательство: Dover Рейтинг: Цена: 2338 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This classic introductory text, geared toward undergraduate students of mathematics, is the work of an internationally renowned authority on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as discussions of the most important applications of tensor calculus. Starting with a chapter on vector spaces, Part I explores affine Euclidean point spaces, tensor algebra, curvilinear coordinates in Euclidean space, and Riemannian spaces. Part II examines the use of tensors in classical analytical dynamics and details the role of tensors in special relativity theory. The book concludes with a brief presentation of the field equations of general relativity theory.
Описание: A course in analysis that focuses on the functions of a real variable, this text is geared toward upper-level undergraduate students. It introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, practical theorems, and coherent proofs. Starting with the structure of the system of real and complex numbers, the text deals at length with the convergence of sequences and series and explores the functions of a real variable and of several variables. Subsequent chapters offer a brief and self-contained introduction to vectors that covers important aspects, including gradients, divergence, and rotation. An entire chapter is devoted to the reversal of order in limiting processes, and the treatment concludes with an examination of Fourier series.
Автор: Nickerson H.K Название: Advanced Calculus ISBN: 0486480909 ISBN-13(EAN): 9780486480909 Издательство: Dover Рейтинг: Цена: 3442 р. Наличие на складе: Поставка под заказ.
Описание: "This book is a radical departure from all previous concepts of advanced calculus," declared the Bulletin of the American Mathematics Society, "and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics." Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives -- gradient, divergent, curl, and exterior -- are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.
Автор: Widder, David V. Название: Advanced calculus ISBN: 0486661032 ISBN-13(EAN): 9780486661032 Издательство: Dover Рейтинг: Цена: 3166 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Edwards, C.h. Название: Advanced calculus of several variables ISBN: 0486683362 ISBN-13(EAN): 9780486683362 Издательство: Dover Рейтинг: Цена: 4131 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Ginzburg A. Название: Calculus: Problems and Solutions ISBN: 0486432777 ISBN-13(EAN): 9780486432779 Издательство: Dover Рейтинг: Цена: 4131 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Ideal for self-instruction as well as for classroom use, this text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. More than 1,200 problems appear in the text, with concise explanations of the basic notions and theorems to be used in their solution. Many are followed by complete answers; solutions for the others appear at the end of the book. Topics include sequences, functions of a single variable, limit of a function, differential calculus for functions of a single variable, fundamental theorems and applications of differential calculus, the differential, indefinite and definite integrals, applications of the definite integral, and infinite series.
Автор: Franklin, Philip Название: A Treatise on Advanced Calculus ISBN: 048680707X ISBN-13(EAN): 9780486807072 Издательство: Dover Рейтинг: Цена: 4821 р. Наличие на складе: Поставка под заказ.
Описание: "This book is a valuable contribution to the field of advanced calculus. It definitely bridges the gap between formal elementary work and the exacting rigor of modern analysis ... it would be difficult to find better exposition at this level." ― American Mathematical Monthly This classic book offers a comprehensive logical treatment of the theory of calculus and related topics. Suitable for advanced undergraduates and graduate students in mathematics, it provides students with a substantial base for graduate work in physics by concentrating on theory rather than on techniques and applications. Topics include real numbers; limits of functions; exponential, logarithmic, and trigonometric functions; differentiation; complex numbers; integration; integrable functions; extensions and applications of integration; infinite series and infinite products; partial differentiation; multiple integration; sequences of functions; functions of complex variables; Fourier series and integrals; differential functions; and the Gamma function and other definite integrals. More than 600 problems amplify the text.
Автор: Friedman, Avner Название: Advanced Calculus ISBN: 0486788938 ISBN-13(EAN): 9780486788937 Издательство: Dover Цена: 6614 р. Наличие на складе: Поставка под заказ.
Описание: This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments. The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text.
Автор: Borden, Robert S. Название: A Course in Advanced Calculus ISBN: 0486672905 ISBN-13(EAN): 9780486672908 Издательство: Dover Рейтинг: Цена: 2476 р. Наличие на складе: Поставка под заказ.
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