This material is intended to contribute to a wider appreciation of the mathematical words "continuity and linearity". The book's purpose is to illuminate the meanings of these words and their relation to each other.

Introduction to Topology and Modern Analysis.

Science & Math

George F. Simmons

Mathematics

McGraw-Hill Book Co.

A revision of a much-admired text distinguished by the exceptional prose and historical/mathematical context that have made Simmons' books classics. The Second Edition includes expanded coverage of Laplace transforms and partial differential equations as well as a new chapter on numerical methods.

Differential Equations with Applications and Historical Notes, 2nd Edition (International Series in Pure and Applied Mathematics)

John S. Robertson

McGraw=Hill

Differential Equations with Applications and Historical Notes

This work takes an intuitive approach to calculus and focuses on the application of methods to real-world problems. Topics new to this edition include first-order nonlinear differential equations, elementary probability and hyperbolic functions.

Calculus with Analytic Geometry

McGraw-Hill Inc.,US

Calculus With Analytic Geometry

This work takes an intuitive approach to calculus and focuses on the application of methods to real-world problems. Topics new to this edition include first-order nonlinear differential equations, elementary probability and hyperbolic functions.

McGraw-Hill/Higher Education

This traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences. Written by two of the world's leading authorities on differential equations, Simmons/Krantz provides a cogent and accessible introduction to ordinary differential equations written in classical style. Its rich variety of modern applications in engineering, physics, and the applied sciences illuminate the concepts and techniques that students will use through practice to solve real-life problems in their careers. This text is part of the "Walter Rudin Student Series" in Advanced Mathematics.

Differential Equations: Theory, Technique, and Practice. George F. Simmons and Steven G. Krantz

Cálculo com Geometria Analítica - Volume 1

Pearson

"Geometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries . . . Algebra's importance lies in the student's future . . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics . . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun" In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.

Precalculus mathematics in a nutshell: Geometry, algebra, trigonometry

Barnes&Noble Books

Differential Equations With Applications And Historical Notes, 3rd Edition

Calculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices ("Biographical Notes" and "Variety of Additional Topics") found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, "What is mathematics for?" and in Simmons' answer, "To delight the mind and help us understand the world". The essays are independent of one another, allowing the instructor to pick and choose among them. Part A, "Brief Lives", is a biographical history of mathematics from earliest times (Thales, 625 547 BC) through the late 19th century (Weierstrass, 1815 1897) that serves to connect mathematics to the broader intellectual and social history of Western civilization. Part B, "Memorable Mathematics", is a collection of interesting topics from number theory, geometry, and science arranged in an order roughly corresponding to the order of most calculus courses. Some of these sections have a few problems for the student to solve. Students can gain perspective on the mathematical experience and learn some mathematics not contained in the usual courses, and instructors can assign student papers and projects based on the essays. The book teaches by example that mathematics is more than computation. Original illustrations of influential mathematicians in history and their inventions accompany the brief biographies and mathematical discussions.

Calculus Gems: Brief Lives and Memorable Moments (Spectrum) (Spectrum, 95)

American Mathematical Society

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Books by George F. Simmons