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Honors Calculus
This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics ofte...
Calculus of Variations
First truly up-to-date treatment offers a simple introduction to optimal control, linear-quadratic control design, and more. Broad perspective features numerous exercises, hints, outlines, and appendixes, including a practical discussion of MATLAB. 2005 edition.
A Survey of Industrial Mathematics
Students learn how to solve problems they'll encounter in their professional lives with this concise single-volume treatment. It employs MATLAB and other strategies to explore typical industrial problems. 2000 edition.
Boundary Value Problems and Fourier Expansions
Based on modern Sobolev methods, this text integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. 2004 edition. Includes 64 figures. Exercises.
Industrial Mathematics
This book provides a concise, single-source survey of all the mathematics most useful in industry today-- particularly modeling and the unit $. Each chapter begins with a brief review of some relevant mathematics; then introduces the industrial extension of this same material via typical real-world applications. The power of interweaving analytic with computing methods during problem solving is demonstrated throughout and MATLAB code is integrated into the flow of the narrative. A chapter on Technical Writing--covering formal technical reports, memos, progress reports, executive summaries, problem statements, overhead projector presentations--shows how to best present mathematical data in a ...
Boundary Value Problems and Orthogonal Expansions
For a first course in the topic using the modern, norm-based Sobolev techniques not currently available in published format. Major concepts are presented with minimal possible detail and details are pushed into the exercises, omitted, or postponed until later sections. Includes worked examples of pr
Regents' Proceedings
None
Advanced Calculus
"Classroom-tested in a Princeton University honors course, this text offers a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors present a corresponding theory of integration, concluding with a series of applications to analytic functions of complex variables. 1959 edition"--
Theoretical Nuclear Physics
An uncommonly clear and cogent investigation and correlation of key aspects of theoretical nuclear physics by leading experts: the nucleus, nuclear forces, nuclear spectroscopy, two-, three- and four-body problems, nuclear reactions, beta-decay and nuclear shell structure.
An Introduction to Mathematics
Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.
