Multivariable Calculus with Mathematica

Multivariable Calculus with Mathematica is a textbook addressing the calculus of several variables. Instead of just using Mathematica to directly solve problems, the students are encouraged to learn the syntax and to write their own code to solve problems. This not only encourages scientific computing skills but at the same time stresses the complete understanding of the mathematics. Questions are provided at the end of the chapters to test the student’s theoretical understanding of the mathematics, and there are also computer algebra questions which test the student’s ability to apply their knowledge in non-trivial ways. 
Features 
Ensures that students are not just using the package to directly solve problems, but learning the syntax to write their own code to solve problems 
Suitable as a main textbook for a Calculus III course, and as a supplementary text for topics scientific computing, engineering, and mathematical physics 
Written in a style that engages the students’ interest and encourages the understanding of the mathematical ideas

Computers & Technology

Gilbert, Robert P.

Shoushani, Michael

Ou, Yvonne

Computer Science

Chapman and Hall/CRC

Applications of Homogenization Theory to the Study of Mineralized Tissue (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Science & Math

Vasilic, Ana

Klinge, Sandra

Panchenko, Alex

Biological Sciences

A broad ranging collection of recent results in the subject covering areas from plane elasticity to second and higher order elliptic equations. The chapters may be read individually, providing a more accessible forum for the applications.

Transformations, Transmutations, and Kernel Functions, Volume I (Monographs and Surveys in Pure and Applied Mathematics)

Begehr, H

Mathematics

This Research Note contains papers presented at the SIAM 40th anniversary meeting organised by the editors and held in Los Angeles in 1992. The papers focus on new fundamental results in the theory of plates and shells, with particular emphasis on the treatment of different materials and the nonlinearities involved. Asymptotic methods, such as formal expansions, homogenization, and two-scale convergence, are analytical tools that pervade much of the research. Some of the papers are also concerned with existence results, especially for nonlinear problems, using various functional analytic methods.

Asymptotic Theories for Plates and Shells (Chapman & Hall/CRC Research Notes in Mathematics Series)

Hackl, Klaus

This volume consists of papers presented in the special sessions on "Complex and Numerical Analysis", "Value Distribution Theory and Complex Domains", and "Use of Symbolic Computation in Mathematics Education" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT-9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense.

Recent Developments in Complex Analysis and Computer Algebra (INTERNATIONAL SOCIETY FOR ANALYSIS, APPLICATIONS AND)

Networking & Cloud Computing

Springer

This volume consists of papers presented in the special sessions on "Wave Phenomena and Related Topics", and "Asymptotics and Homogenization" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT -9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the 'participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense. This volume has the title Direct and Inverse Problems of Mathematical Physics which consists of the papers on scattering theory, coefficient identification, uniqueness and existence theorems, boundary controllability, wave propagation in stratified media, viscous flows, nonlinear acoustics, Sobolev spaces, singularity theory, pseudo differential operators, and semigroup theory.

Direct and Inverse Problems of Mathematical Physics (INTERNATIONAL SOCIETY FOR ANALYSIS, APPLICATIONS AND)

This book illustrates how MAPLE™ can be used to supplement a standard, elementary text in ordinary and partial differential equation. The authors are firm believers in the teaching of mathematics as an experimental science where the student does numerous calculations and then synthesizes these experiments into a general theory. The goal of the book is to teach the students enough about the computer algebra system MAPLE™ so that it can be used in an investigative way. This book was developed through ten years of instruction in the differential equations course.

Differential Equations (Textbooks in Mathematics)

Hsiao, George C.

Ronkese, Robert J.

"This book illustrates how MAPLE can be used to supplement a standard, elementary text in ordinary and partial differential equation. MAPLE is used with several purposes in mind. The authors are firm believers in the teaching of mathematics as an experimental science where the student does numerous calculations and then synthesizes these experiments into a general theory. Projects based on the concept of writing generic programs test a student's understanding of the theoretical material of the course. A student who can solve a general problem certainly can solve a specialized problem. The authors show MAPLE has a built-in program for doing these problems. While it is important for the student to learn MAPLES in built programs, using these alone removes the student from the conceptual nature of differential equations. The goal of the book is to teach the students enough about the computer algebra system MAPLE so that it can be used in an investigative way. The investigative materials which are present in the book are done in desk calculator mode DCM, that is the calculations are in the order command line followed by output line. Frequently, this approach eventually leads to a program or procedure in MAPLE designated by proc and completed by end proc. This book was developed through ten years of instruction in the differential equations course"--

Differential Equations: A Maple™ Supplement (Textbooks in Mathematics)

"Multivariable Calculus with Mathematica is a textbook addressing the calculus of several variables. Instead of just using Mathematica to directly solve problems, the students are encouraged to learn the syntax and to write their own code to solve problems. This not only encourages scientific computing skills but at the same time stresses the complete understanding of the mathematics. Questions are provided at the end of the chapters to test the student's theoretical understanding of the mathematics, and there are also computer algebra questions which test the student's ability to apply their knowledge in non-trivial ways. Features Ensures that students are not just using the package to directly solve problems, but learning the syntax to write their own code to solve problems Suitable as a main textbook for a Calculus III course, and as a supplementary text for topics scientific computing, engineering, and mathematical physics Written in a style that engages the students' interest and encourages the understanding of the mathematical ideas"--

This book provides a thorough introduction to homogenization, a modeling procedure used to describe processes in complicated structures with known microstructures. It first presents the theoretical foundations of this powerful tool of analysis. Building on the theory, the authors explore various types of application problems, including flow in porous media, sound propagation in fluid saturated solids, acoustics of granular material, computational multiscale finite element methods, and interfaces in viscoelastic materials. The book also discusses results in which G-limits have different structures from the initial operators.

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Books by Gilbert, Robert P.

See the best price to sell, buy, or rent books by Gilbert, Robert P.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Multivariable Calculus with Mathematica

Applications of Homogenization Theory to the Study of Mineralized Tissue (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Transformations, Transmutations, and Kernel Functions, Volume I (Monographs and Surveys in Pure and Applied Mathematics)

Asymptotic Theories for Plates and Shells (Chapman & Hall/CRC Research Notes in Mathematics Series)

Recent Developments in Complex Analysis and Computer Algebra (INTERNATIONAL SOCIETY FOR ANALYSIS, APPLICATIONS AND)

Direct and Inverse Problems of Mathematical Physics (INTERNATIONAL SOCIETY FOR ANALYSIS, APPLICATIONS AND)

Differential Equations (Textbooks in Mathematics)

Differential Equations: A Maple™ Supplement (Textbooks in Mathematics)

Multivariable Calculus with Mathematica

Applications of Homogenization Theory to the Study of Mineralized Tissue (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)