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### 1) Calculus

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English

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“Homework Helpers: Calculus” is a straightforward and understandable introduction to differential calculus and its applications. It covers all of the topics in a typical Calculus class, including: • Limits • Continuity • The product, quotient, and chain rules • Implicit differentiation • Related rates • Graphical analysis • Optimization.
This book also contains a review of the pre-calculus concepts that form the foundation on which...

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Español

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El Dr. Clement E. Falbo es Profesor Emérito de Matemáticas en la Universidad Estatal de Sonoma, donde enseñó durante 35 años. Es autor de varios artículos en revistas de matemáticas, incluyendo el ampliamente leído "La Proporción Áurea: un Punto de Vista Contrario" en el College Mathematics Journal (2005). Su artículo "Teoremas Casi de Goldbach" en The Mathematical Gazette (2021) también es popular.
Además de este libro de cálculo,...

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Valuable as both a text and a reference, this concise monograph starts with a consideration of the calculus of finite differences and advances to discussions of the gamma and psi functions and other methods of summation. Subsequent chapters offer a summation of tables and an examination of infinite sums. The treatment concludes with a table of finite sums and helpful indexes. This volume was written by a prominent mathematician and educator whose...

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Students often struggle to understand Calculus and get through their first Calculus course. And to make things worse, many popular textbooks reach a whopping 1,000 pages to introduce this crucial subject, needlessly frustrating and overwhelming students. Calculus in 5 Hours develops the confidence you need in approximately 124 pages. You may not realize it, but you're smarter than you think you are. The problem is that assigned textbooks give exhaustive...

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Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. The first two chapters examine gamma and beta functions, including applications to certain geometrical and physical problems such as heat-flow in a straight wire. The following two chapters treat Legendre polynomials, addressing applications to specific series expansions,...

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Filled with humorous illustrations as well as lively and absorbing mathematical learning, this calculus comic book requires only a familiarity with high school algebra and a sense of humor. Prof. E. McSquared introduces each concept in differential calculus in the form of a memorable character and helps readers develop their intuitive powers. A lifesaver for struggling students and a treat for the mathematically minded, the book includes helpful exercises...

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This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments. The first part explores functions of one variable, including numbers and sequences,...

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Designed for those seeking help studying calculus in school, also valuable for adults attempting to learn/re-learn calculus. A resource for instructors supplementing their instruction. 501 Calculus Problems helps users prepare for academic exams and build problem-solving skills. Unlike textbooks, full answer explanations are, provided for all problems. Includes: Questions covering all of single variable calculus -Common calculus mistakes -Detailed...

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This rewarding text, beautifully illustrated by the author and written with superb clarity, offers undergraduate students a solid mathematical background and functions equally well for independent study. The five-part treatment begins with geometry, defining three-dimensional Euclidean space and its axioms, the coordinate system and coordinate transformation, and matrices. A review of vector algebra covers vector properties, multiplication, the resolution...

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Get the Summary of Steven Strogatz's Infinite Powers in 20 minutes. Please note: This is a summary & not the original book. "Infinite Powers" delves into the historical evolution of mathematics, tracing its origins from ancient civilizations' practical needs to the sophisticated realms of calculus and infinity. The book highlights how ancient counting systems and geometry laid the groundwork for later mathematical breakthroughs, including the development...

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Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives - gradient, divergent, curl, and exterior - are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various...

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Written by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series. Several useful tests for the convergence and divergence of series are developed, as is a method for finding the limits of error in series expansions. The latter half of the book discusses difference-equations, including linear, mixed, and...

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Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to numerous diagrams, problems, and answers. Bearing the needs of beginners constantly in mind, the treatment...

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Excellent text provides basis for thorough understanding of the problems, methods and techniques of the calculus of variations and prepares readers for the study of modern optimal control theory. Treatment limited to extensive coverage of single integral problems in one and more unknown functions. Carefully chosen variational problems and over 400 exercises. 1969 edition. Bibliography.

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This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods. Chapters 1 through 4 employ infinitesimals to quickly...

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One of the twentieth century's most original mathematicians and thinkers, Karl Menger taught students of many backgrounds. In this, his radical revision of the traditional calculus text, he presents pure and applied calculus in a unified conceptual frame, offering a thorough understanding of theory as well as of the methodology underlying the use of calculus as a tool. The most outstanding feature of this text is the care with which it explains basic...

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Español

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Este libro estudia el fascinante campo de las integrales múltiples donde se han incluido muchos gráficos de apoyo. El primer capítulo, transformaciones, es la clave para la comprensión de todo el libro; aquí se muestran los sistemas de coordenadas polares, cilíndricas y esféricas. Se estudian las integrales dobles, triples y sus cambios de variables. Se hace un estudio básico de la topología en el plano y en el espacio que permite comprender...

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This book is unique in English as a refresher for engineers, technicians, and students who either wish to brush up their calculus or find parts of calculus unclear. It is not an ordinary textbook. It is, instead, an examination of the most important aspects of integral and differential calculus in terms of the 756 questions most likely to occur to the technical reader. It provides a very easily followed presentation and may also be used as either...

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The fourth book in Peterson's NEW series of guides for visual learners, this volume covers basic calculus topics that are essential for success on high school and college calculus tests. Topics include limits & continuity, derivatives & their applications, and integrals. Students who need help with the basics will find that egghead's Guide to Calculus offers just what they need to be able to improve their understanding of the fundamentals of calculus...

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Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

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