**Author**: J. Aczel,Hansjorg Oser

**Publisher:**Courier Corporation

**ISBN:**0486445232

**Category:**Mathematics

**Page:**510

**View:**1810

Skip to content
# Search Results for: lectures-on-functional-equations-and-their-applications-dover-books-on-mathematics

**Author**: J. Aczel,Hansjorg Oser

**Publisher:** Courier Corporation

**ISBN:** 0486445232

**Category:** Mathematics

**Page:** 510

**View:** 1810

Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.
*Theory and Problem-solving Strategies for Mathematical Competitions and Beyond*

**Author**: Costas Efthimiou

**Publisher:** American Mathematical Soc.

**ISBN:** 0821853147

**Category:** Mathematics

**Page:** 363

**View:** 3491

Functions and their properties have been part of the rigorous precollege curriculum for decades. And functional equations have been a favorite topic of the leading national and international mathematical competitions. Yet the subject has not received equal attention by authors at an introductory level. The majority of the books on the topic remain unreachable to the curious and intelligent precollege student. The present book is an attempt to eliminate this disparity. The book opens with a review chapter on functions, which collects the relevant foundational information on functions, plus some material potentially new to the reader. The next chapter presents a working definition of functional equations and explains the difficulties in trying to systematize the theory. With each new chapter, the author presents methods for the solution of a particular group of equations. Each chapter is complemented with many solved examples, the majority of which are taken from mathematical competitions and professional journals. The book ends with a chapter of unsolved problems and some other auxiliary material. The book is an invaluable resource for precollege and college students who want to deepen their knowledge of functions and their properties, for teachers and instructors who wish to enrich their curricula, and for any lover of mathematical problem-solving techniques. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

**Author**: Stanley J. Farlow

**Publisher:** Dover Publications

**ISBN:** N.A

**Category:** Mathematics

**Page:** 640

**View:** 9406

Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied mathematics with a working knowledge of algebra, trigonometry, and elementary calculus. Its mathematical rigor is balanced by complete but simple explanations that appeal to readers' physical and geometric intuition. Starting with an introduction to differential equations, the text proceeds to examinations of first- and second-order differential equations, series solutions, the Laplace transform, systems of differential equations, difference equations, nonlinear differential equations and chaos, and partial differential equations. Numerous figures, problems with solutions, and historical notes clarify the text.

**Author**: Jacob T. Schwartz

**Publisher:** Courier Dover Publications

**ISBN:** 0486828034

**Category:** Business & Economics

**Page:** 304

**View:** 4083

An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.

**Author**: Andre? Nikolaevich Kolmogorov,Serge? Vasil?evich Fomin,S. V. Fomin

**Publisher:** Courier Corporation

**ISBN:** 9780486406831

**Category:** Mathematics

**Page:** 288

**View:** 4463

Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

**Author**: Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

**Publisher:** World Scientific Publishing Company

**ISBN:** 9814425656

**Category:** Mathematics

**Page:** 208

**View:** 4157

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the Euler function is treated in several different places, as the number of generators of a finite cyclic group, as one counting the order of the multiplicative group of reduced residue classes modulo q, and as the order and degree of the Galois group of the cyclotomic field, respectively. One of the important principles of learning is to work with the material many times. This book presents many worked-out examples and exercises to enhance the reader's comprehension on the topics covered in an in-depth manner. This is done in a different setting each time such that the reader will always be challenged. For the keen reader, even browsing the text alone, without solving the exercises, will yield some knowledge and enjoyment.

**Author**: Nikolaos Katzourakis,Eugen Varvaruca

**Publisher:** CRC Press

**ISBN:** 1351765329

**Category:** Mathematics

**Page:** 558

**View:** 1946

Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General Topology, Continuity, Completeness, Compactness, Measure Theory, Integration, Lebesgue Spaces, Hilbert Spaces, Banach Spaces, Linear Operators, Weak and Weak* Topologies. Suitable both for classroom use and independent reading, this book is ideal preparation for further study in research areas where a broad mathematical toolbox is required.

**Author**: Francesco Giacomo Tricomi

**Publisher:** Courier Corporation

**ISBN:** 9780486648286

**Category:** Mathematics

**Page:** 238

**View:** 3927

Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.

**Author**: S. L. Sobolev

**Publisher:** Courier Corporation

**ISBN:** 9780486659640

**Category:** Science

**Page:** 427

**View:** 5093

This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.
*Theory and Applications*

**Author**: George Isac,Sándor Zoltán Németh

**Publisher:** Springer Science & Business Media

**ISBN:** 0387739882

**Category:** Mathematics

**Page:** 245

**View:** 1681

This extremely useful book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings and the non-gradient type monotonicity on Riemannian manifolds. The text is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry and applied mathematics.

**Author**: Stanley J. Farlow

**Publisher:** Courier Corporation

**ISBN:** 0486134733

**Category:** Mathematics

**Page:** 414

**View:** 1032

Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.
*Theory and Applications*

**Author**: A. Ivi?

**Publisher:** Courier Corporation

**ISBN:** 9780486428130

**Category:** Mathematics

**Page:** 517

**View:** 819

Comprehensive and coherent, this text covers exponential integrals and sums, 4th power moment, zero-free region, mean value estimates over short intervals, higher power moments, omega results, zeros on the critical line, zero-density estimates, distribution of primes, Dirichlet and various other divisor problems, and more. 1985 edition.

**Author**: Emil Artin

**Publisher:** N.A

**ISBN:** N.A

**Category:** Galois theory

**Page:** 86

**View:** 3054

**Author**: I. M. Gelfand,S. V. Fomin

**Publisher:** Courier Corporation

**ISBN:** 0486135012

**Category:** Mathematics

**Page:** 240

**View:** 8512

Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

**Author**: Harold Widom

**Publisher:** Courier Dover Publications

**ISBN:** 0486816591

**Category:** Mathematics

**Page:** 176

**View:** 8108

Well-known, concise lecture notes present fundamentals of the Lebesgue theory of integration and introduce some applications. Topics include measures, integration, theorems of Fubini, representations of measures, Lebesgue spaces, differentiation, Fourier series. 1969 edition.

**Author**: Jacques Hadamard

**Publisher:** Courier Corporation

**ISBN:** 9780486495491

**Category:** Mathematics

**Page:** 316

**View:** 6557

Basing his research on prior studies by Riemann, Kirchhoff, and Volterra, the author extends and improves Volterra's work, applying its theories relating to spherical and cylindrical waves to all normal hyperbolic equations. 1923 edition.

**Author**: I. G. Petrovsky

**Publisher:** Courier Corporation

**ISBN:** 0486155080

**Category:** Mathematics

**Page:** 272

**View:** 2960

Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.

**Author**: Howard J. Wilcox,David L. Myers

**Publisher:** Courier Corporation

**ISBN:** 9780486682938

**Category:** Mathematics

**Page:** 159

**View:** 9582

This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.

**Author**: Theodore J. Rivlin

**Publisher:** Courier Corporation

**ISBN:** 9780486495545

**Category:** Mathematics

**Page:** 150

**View:** 7198

Concise but wide-ranging, this text provides an introduction to methods of approximating continuous functions by functions that depend only on a finite number of parameters. Not only does the author discuss the theoretical underpinnings of many common algorithms, but he also demonstrates the procedure's practical applications. Each method of approximation features at least one algorithm that traces the path to formulation of the actual numerical approximation. This volume will prove particularly useful as a supplement to introductory courses in both mathematical and numerical analysis; written for upper-level graduate students, it presupposes a knowledge of advanced calculus and linear algebra.

Full PDF Download Free

Privacy Policy

Copyright © 2019 Download PDF Site — Primer WordPress theme by GoDaddy