MATH 2100, 2200, 3200, 4050, 4060 - Calculus

Calculus for Biology and Medicine by Claudia Neuhauser; Marcus Roper For freshman-level, two-semester or three-semester courses in Calculus for Life Sciences. Shows students how calculus is used to analyze phenomena in nature -- while providing flexibility for instructors to teach at their desired level of rigor Calculus for Biology and Medicine motivates life and health science majors to learn calculus through relevant and strategically placed applications to their chosen fields. It presents the calculus in such a way that the level of rigor can be adjusted to meet the specific needs of the audience -- from a purely applied course to one that matches the rigor of the standard calculus track.   In the 4th Edition, new co-author Marcus Roper (UCLA) partners with author Claudia Neuhauser to preserve these strengths while adding an unprecedented number of real applications and an infusion of modeling and technology. Also available with MyLab Math MyLab(tm) Math is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. For the first time, instructors teaching with  Calculus for Biology and Medicine  can assign text-specific online homework and other resources to students outside of the classroom. NOTE: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab Math, search for: 0134845048 / 9780134845043  Calculus for Biology and Medicine plus MyLab Math with Pearson eText  - Access Card Package, 4/e Package consists of: 0134070046 / 9780134070049  Calculus for Biology and Medicine 0134782895 / 9780134782898  MyLab Math with Pearson eText - Standalone Access Card - for Calculus for Biology and Medicine, 4/e

Prime Numbers and the Riemann Hypothesis by Barry Mazur; William Stein Prime numbers are beautiful, mysterious, and beguiling mathematical objects. The mathematician Bernhard Riemann made a celebrated conjecture about primes in 1859, the so-called Riemann hypothesis, which remains one of the most important unsolved problems in mathematics. Through the deep insights of the authors, this book introduces primes and explains the Riemann hypothesis. Students with a minimal mathematical background and scholars alike will enjoy this comprehensive discussion of primes. The first part of the book will inspire the curiosity of a general reader with an accessible explanation of the key ideas. The exposition of these ideas is generously illuminated by computational graphics that exhibit the key concepts and phenomena in enticing detail. Readers with more mathematical experience will then go deeper into the structure of primes and see how the Riemann hypothesis relates to Fourier analysis using the vocabulary of spectra. Readers with a strong mathematical background will be able to connect these ideas to historical formulations of the Riemann hypothesis.

Universal Formulas in Integral and Fractional Differential Calculus by Khavtgai Namsrai

Limit Theorems for Nonlinear Cointegrating Regression by Qiying Wang This book provides the limit theorems that can be used in the development of nonlinear cointegrating regression. The topics include weak convergence to a local time process, weak convergence to a mixture of normal distributions and weak convergence to stochastic integrals. This book also investigates estimation and inference theory in nonlinear cointegrating regression.The core context of this book comes from the author and his collaborator's current researches in past years, which is wide enough to cover the knowledge bases in nonlinear cointegrating regression. It may be used as a main reference book for future researchers.

Multivariate Characteristic and Correlation Functions by Zoltán Sasvári; Zoltán Sasvári In a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness. Many results in probability theory, mathematical statistics and stochastic processes can be derived by using these functions. While there are books on characteristic functions of one variable, books devoting some sections to the multivariate case, and books treating the general case of locally compact groups, interestingly there is no book devoted entirely to the multidimensional case which is extremely important for applications. This book is intended to fill this gap at least partially. It makes the basic concepts and results on multivariate characteristic and correlation functions easily accessible to both students and researchers in a comprehensive manner.

Understanding Calculus II: Problems, Solutions, and Tips Calculus II is the payoff for mastering Calculus I. This second course in the calculus sequence introduces you to exciting new techniques and applications of one of the most powerful mathematical tools ever invented. Equipped with the skills of Calculus II, you can solve a wide array of problems in the physical, biological, and social sciences, engineering, economics, and other areas. Success at Calculus II also gives you a solid foundation for the further study of mathematics, and it meets the math requirement for many undergraduate majors.

Understanding Calculus I: Problems, Solutions, and Tips Calculus is the greatest mathematical breakthrough since the pioneering discoveries of the ancient Greeks. Without it, there would be no spaceflight, skyscrapers, jet planes, economic modeling, or accurate weather forecasting. One of the most powerful problem solving tools ever invented, calculus is a skill that can be learned. Its techniques are used to analyze situations involving change, to calculate optimum values, and to measure complex shapes. With crystal-clear explanations of the beautiful ideas of calculus, frequent study tips, pitfalls to avoid, and--best of all--hundreds of examples and practice problems that are specifically designed to explain and reinforce major concepts, this course will be a valuable guide to conquering calculus.

Single Variable Calculus by William L. Briggs; Lyle Cochran; Bernard Gillett; Bill L. Briggs Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher's voice beyond the classroom. That voice-evident in the narrative, the figures, and the questions interspersed in the narrative-is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers' geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope.

Guide to Calculus by Greg Hill Calculus is the basis of all advanced science and math. But it can be very intimidating, especially if you're learning it for the first time! If finding derivatives or understanding integrals has you stumped, this book can guide you through it. This indispensable resource offers hundreds of practice exercises and covers all the key concepts of calculus, including: Limits of a function Derivatives of a function Monomials and polynomials Calculating maxima and minima Logarithmic differentials Integrals Finding the volume of irregularly shaped objects By breaking down challenging concepts and presenting clear explanations, you'll solidify your knowledge base--and face calculus without fear!

Calculus by Ron Larson; Bruce Edwards Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, continues to offer users innovative teaching and learning resources. The Larson team always has two main objectives for book revisions: to develop precise, readable materials for users that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for users that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus user. Every edition from the first to the fourth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.

Differential and Integral Equations by Peter J. Collins Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform methods and phase-plane analysis. The calculus of variations will take them further into the world of applied analysis. Providing a wealth of techniques, but yet satisfying the needs of the pure mathematician, and with numerous carefully worked examples and exercises, the text is ideal for any undergraduate with basic calculus to gain a thorough grounding in 'analysis for applications'.

Advanced Calculus by Gerald B. Folland This book presents a unified view of calculus in which theory and practice reinforces each other. It is about the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard calculus books. Chapter topics cover: Setting the Stage, Differential Calculus, The Implicit Function Theorem and Its Applications, Integral Calculus, Line and Surface Integrals--Vector Analysis, Infinite Series, Functions Defined by Series and Integrals, and Fourier Series. For individuals with a sound knowledge of the mechanics of one-variable calculus and an acquaintance with linear algebra.