Tensor Calculus With Applications

This book presents a concise and rigorous treatment of stochastic calculus. It also gives its main applications in finance, biology and engineering. In finance, the stochastic calculus is applied to p

This book presents a concise and rigorous treatment of stochastic calculus. It also gives its main applications in finance, biology and engineering. In finance, the stochastic calculus is applied to p

Calculus & Its Applications builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits,

新的版本，除了符合應用工程學上，新的需求之外，筆者還特別精挑細選，補充了一些例題、習題以及應用題。重新編訂後的版本，筆者將其命名為《Vector Calculus with its Applications (向量演算學及其應用)》，無論是在字體或是符號上而言，都有新的面貌。

Exploring Microeconomics: Formal Theory and Practical Problems Significantly revised and updated with new real-world examples, exercises, and applications, this Fourth Edition of Microeconomics: Theor

The goal of this book is to present Stochastic Calculus at an introductory level and not at its maximum mathematical detail. The author aims to capture as much as possible the spirit of elementary det

This textbook on elementary stochastic calculus is designed for senior undergraduate students in math, economics, and business. Although the material is presented at an introductory level, students sh

Advanced Engineering Analysis is a textbook on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines t

The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering stud

Principles of Physics: A Calculus Approach is designed for a one-year introductory calculus-based physics course for engineering and science students as well as premed students. This book has two main objectives: to provide students with a clear and logical presentation of the basic concepts and principles of physics; and to strengthen their understanding of these concepts and principles through a board of interesting real-world applications.● Style The book is written in a clear, logical, and engaging style.● Pitfall Prevention Over 140 Pitfall Preventions are provided to help students avoid common mistakes and misunderstandings.● Problem-Solving Strategies This helps students identify necessary steps for solving problems.● Worked Examples These examples are set off in boxes, and the answers are highlighted with a tan screen.● Problems Over 2,100 end-of-chapter problems are provided with varied levels of difficulty.● Review Problems These problems can be used by students in preparing

An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

This book provides an accessible yet accurate presentation of applied calculus combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. Re

Elementary Linear Algebra: Applications Version, 12th Edition, gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. In this edition, a new section has been added to describe the applications of linear algebra in emerging fields such as data science, machine learning, climate science, geomatics, and biological modeling. New exercises have been added with special attention to the expanded early introduction to linear transformations and new examples have been added, where needed, to support the exercise sets. Calculus is not a prerequisite, but there are clea

本書序言This text is intended for a calculus-based introductory physics course for science and engineering students. Ideally,students should have completed one semester of calculus. However, calculus may also be taken concurrently. Derivativesare used sparingly in the early chapters in Mechanics, and integrals appear for the first time in Chapter 7 (Work and Energy)but are not crucial for the understanding of basic concepts.This 4th. edition of University Physics incorporates several changes meant to enhance the appeal and effectiveness of thetext and includes several new applications of Physics in Science, Engineering and everyday life. Despite the addition of newmaterial this 4th. edition remains relatively short.Now to This Edition● New Layout: The page layout and artwork have been revamped and updated.● Self-Test: each chapter now includes a short Self-Test with complete solutions provided at the back of the book. This feature is meant to give the student some feedback on how well the

Calculus: Applications in Constrained Optimization provides an accessible yet mathematically rigorous introduction to constrained optimization, designed for undergraduate students who have some experiences with multivariable calculus. Based on a successful course at National Taiwan University (NTU) ── Calculus 4: Applications in Economics and Management, this book connects foundational calculus with contemporary techniques of optimization used in economics, management, and data science.Classical tools such as Lagrange multipliers and second derivative tests are extended into a general framework that covers both equality and inequality constraints. Readers will also learn to identify degenerate cases and apply second-order conditions in multivariable settings. Key concepts from linear algebra are introduced and integrated throughout.Each chapter concludes with a carefully structured set of exercises:● Type (A) questions test basic understanding;● Type (B) questions reinforce key example

This book provides a rigorous course in microeconomics at the intermediate level. The book contains an axiomatic approach to the theory with calculus applications (at the one variable level) and a sub

本書是專為非理工科學生撰寫的微積分教科書，譯自美國Pennsylvania州立大學Roland E. Larson及Behrend學院Robert P. Hostetler兩位教授依多年教學經驗所著的《Brief Calculus with Applications》，原書在美國極為暢銷，在國內也廣受各大專院校採用。 全書對微積分的基本概念、解題方法及應用均作了詳細而系統的解說，而較艱深的理論則