Elementary calculus : an infinitesimal approach
著者
書誌事項
Elementary calculus : an infinitesimal approach
Prindle, Weber & Schmidt, c1986
2nd ed
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注記
Includes index
内容説明・目次
内容説明
This book is concerned with the infinitesimal approach originally set forth by Newton and Leibnitz. The author has moved the theoretical material from Chapter One to an Appendix in this edition. A new chapter on differential equations has been added and the transcendental functions have been fully integrated into the first section. This book should be of interest to first and second year undergraduate mathematics students.
目次
Real and hyperreal numbers. Differentiation. Continuous functions. Integration. Limits, analytic geometry, and approximations. Applications of the integral. Trigonometric functions. Exponential and logarithmic functions. Infinite series. Vectors. Partial differentiation. Multiple integrals. Vector calculus. Differential equations. Epilogue. Appendix. Answers to selected problems. Index.
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