Calculus problems

• 作者： Baronti, Marco, author.
• 其他作者：
  • De Mari, Filippo, author.
  • Putten, Robertus van der, author.
  • Venturi, Irene, author.
  • SpringerLink (Online service)
• 其他題名：
  • UNITEXT ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： UNITEXT,volume 101
• 主題： Calculus--Problems, exercises, etc. , Mathematics. , Analysis. , Calculus of Variations and Optimal Control; Optimization.
• ISBN： 9783319154282 (electronic bk.) 、 9783319154275 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 1 Manipulation of Graphs -- 2 Invertible Mappings -- 3 Sequences -- 4 Maxima, minima, least upper bound, greatest lower bound -- 5 Limits of functions -- 6 Continuous Functions -- 7 Differentiable Functions -- 8 Taylor Expansions -- 9 Geometry of functions: extrema and convexity -- 10 Indefinite and Definite Integrals -- 11 Improper Integrals and Integral Functions -- 12 Numerical Series -- 13 Separation of Variables -- 14 First Order Linear Differential Equations -- 15 Constant Coefficient Differential Equations.
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• 摘要註: This book, intended as a practical working guide for students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, includes 450 exercises. Each chapter starts with a summary of the main definitions and results, which is followed by a selection of solved exercises accompanied by brief, illustrative comments. A selection of problems with indicated solutions rounds out each chapter. A final chapter explores problems that are not designed with a single issue in mind but instead call for the combination of a variety of techniques, rounding out the book's coverage. Though the book's primary focus is on functions of one real variable, basic ordinary differential equations (separation of variables, linear first order and constant coefficients ODEs) are also discussed. The material is taken from actual written tests that have been delivered at the Engineering School of the University of Genoa. Literally thousands of students have worked on these problems, ensuring their real-world applicability.
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