Mathematical Models in the Biosciences I /
An award-winning professor's introduction to essential concepts of calculus and mathematical modeling for students in the biosciences This book introduces mathematical modeling to bioscience students, with first semester calculus as the only prerequisite. It is the first of a two-part series ex...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New Haven, CT :
Yale University Press,
[2021]
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Temas: | |
Acceso en línea: | Texto completo Texto completo |
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245 | 1 | 0 | |a Mathematical Models in the Biosciences I / |c Michael Frame. |
264 | 1 | |a New Haven, CT : |b Yale University Press, |c [2021] | |
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505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Ways to use this book -- |t Acknowledgments -- |t 1 Review -- |t 2 Discrete dynamics -- |t 3 Differential equations models -- |t 4 Single-variable differential equations -- |t 5 Definite integrals and improper integrals -- |t 6 Power laws -- |t 7 Differential equations in the plane -- |t 8 Linear systems and stability -- |t 9 Nonlinear systems and stability -- |t 10 Infinite series and power series -- |t 11 Some probability -- |t 12 Why this matters -- |t Appendix A. Technical -- |t Appendix B. Some Mathematica code -- |t Appendix C. Some useful integrals and hints -- |t Figure credits -- |t References -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a An award-winning professor's introduction to essential concepts of calculus and mathematical modeling for students in the biosciences This book introduces mathematical modeling to bioscience students, with first semester calculus as the only prerequisite. It is the first of a two-part series exploring essential concepts of calculus in the context of biological systems. Michael Frame covers the essential ideas and theories of basic calculus while providing examples of how they relate and are applicable to subjects such as chemotherapy and tumor growth, chemical diffusion, allometric scaling, predator-prey relations, nerve impulses, and more. He presents Pearl's causality calculus to resolve Simpson's paradox, simple cardiac dynamics models, basic epidemiological models including Ronald Ross's study of malaria and its epidemic curves, and limit cycles for the glycolysis model. Based on the author's calculus class at Yale, the book makes concepts of calculus less abstract and more relatable for science majors and premedical students. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Dez 2022) | |
650 | 0 | |a Life sciences |x Mathematical models. | |
650 | 7 | |a MATHEMATICS / Applied. |2 bisacsh | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2021 English |z 9783110754001 |
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773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2021 English |z 9783110754131 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2021 |z 9783110753905 |o ZDB-23-DMA |
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