Foundations of Mathematical Analysis offers a practical path through calculus and limits for beginners, with clear explanations and many worked examples.
This practical introduction covers calculus, limits, derivatives, and integrals, using worked examples to build understanding. It is aimed at freshmen and others starting a deeper study of mathematics, with guidance on how the topics fit together and how to approach problems.
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A sy Wsg PREFACE The present course is the result of several years of study and trial in the classroom in an effort to make an introduction to college mathematics more effective, rational and better suited to its place in a scheme of education under modern conditions of life. A broader field has been attempted than is customary in books of its class. This is made possible by certain principles which controlled the construction of the text. One principle on which the course is built is correlation by topics. For example, all methods of calculation have been associated in one chapter and early in the course in order to beavailable for use in the sequel. The function idea has also been emphasized and used as a means of correlation. Brevity and directness of treatment have contributed to reduce the size of the book. An effort has been made to keep in view of the student the steps in the development of the subject and to point out useful contacts of mathematics with affairs. The first two chapters are intended to be used for review and reference at the discretion of the instructor. Graphic representation and its uses have been given considerable attention. The simple cases of determining empirical formulae give a very valuable drill in the solution of simultaneous equations and a foundation for later work in the laboratory. The treatment of the trigonometric functions is brief, direct and in some respects more advanced in style than is customary in current texts in trigonometry which are constructed mostly from the secondary school standpoint.
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Vendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : New. Print on Demand. This book provides a comprehensive and engaging introduction to the fundamental concepts of college mathematics. It goes beyond traditional introductory texts by exploring a wider range of topics, emphasizing the interconnectedness of mathematical ideas. The author utilizes a unique approach that correlates different methods of calculation within a single chapter, allowing for immediate application throughout the subsequent material. The function concept is prominently featured, serving as a unifying thread throughout the book. The author also integrates graphic representation and its applications, providing valuable practice in solving simultaneous equations and laying a foundation for further laboratory work. Trigonometric functions are addressed in a direct and concise manner, distinguishing this approach from traditional trigonometry texts primarily focused on secondary school level concepts. The book explores the power of vectors, demonstrating their versatility in science and engineering. A dedicated chapter on series delves into their significance in understanding functions, providing a solid foundation for future mathematical endeavors. The book concludes with an introduction to differential and integral calculus, offering a springboard for those seeking a deeper exploration of this critical mathematical discipline. The author's clear and engaging style fosters a deep understanding of the interconnectedness of mathematical concepts and their practical applications, making this book a valuable resource for both students and those seeking a deeper appreciation of this essential field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781451002638_0
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Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781451002638
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Paperback. Etat : Brand New. 322 pages. 9.00x6.00x0.73 inches. This item is printed on demand. N° de réf. du vendeur zk1451002637
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