<< /S /GoTo /D (chapter.10) >> << /S /GoTo /D (section.7.4) >> (I Linear algebra) endobj Preface This book is based on a two-semester course in ordinary differential equa-tions that I have taught to graduate students for two decades at the Uni-versity of Missouri. The book does not furnish proofs of theorems, but each chapter contains problem sets and few examples. 3. 256 0 obj All terms related to differential equations used in the textbook are introduced in a form of a definition. 381 0 obj endobj the permission of the AMS and may not be changed, edited, or reposted at any other website without . 28 0 obj 289 0 obj 40 0 obj endobj 180 0 obj ���?^�B����\�j�UP���{���xᇻL��^U}9pQ��q����0�O}c���}����3t�Ȣ}�Ə!VOu���˷ endobj 105 0 obj endobj 29 0 obj 80 0 obj 445 0 obj 253 0 obj 292 0 obj 317 0 obj 324 0 obj 220 0 obj 341 0 obj endobj endobj endobj My purpose is to provide for the student a broad perspective on the subject, to illustrate the rich variety of … << /S /GoTo /D (subsection.11.2.2) >> Chapter-12: Jacobians 293 0 obj 288 0 obj << /S /GoTo /D (chapter.3) >> 373 0 obj << /S /GoTo /D (section.11.2) >> (Resonance) endobj 408 0 obj endobj endobj Elegant and relatively short textbook is written on less than 150 pages but covers a 12-week course in 10 chapters and 6 appendices. 45 0 obj << /S /GoTo /D (section.8.5) >> 48 0 obj (Subcritical pitchfork bifurcation) Majority of the material is devoted to analysis of the stability of autonomous systems in two variables. 312 0 obj << /S /GoTo /D (section.10.2) >> endobj This book has been designed for Undergraduate (Honours) and Postgraduate students of various Indian Universities.A set of objective problems has been provided at the end of each chapter which will be useful to the aspirants of competitve examinations . 96 0 obj 321 0 obj endobj (Chemical reactions) 448 0 obj Ordinary Differential Equations with Applications Carmen Chicone Springer. 296 0 obj endobj endobj endobj Analytical geometrical interpretation of results has been provided 400 0 obj << /S /GoTo /D (section.1.2) >> 264 0 obj endobj << /S /GoTo /D (subsection.11.2.5) >> 304 0 obj This book has been designed to meet the requirements of undergraduate students of BA and BSc courses. 352 0 obj (Terminal velocity) McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. (Inhomogeneous odes) endobj (The exponential function and the natural logarithm) 372 0 obj << /S /GoTo /D (section.3.10) >> 228 0 obj endobj The appendices take about a quarter of the book and could serve as review materials or lessons on their own. Additional … 53 0 obj endobj << /S /GoTo /D (section.2.4) >> (Matrix representation of complex numbers) The interface is well organized according to TeX standards of books with broad margins left for comments. 129 0 obj Material from our usual courses on linear algebra and differential equations have been combined into a single course (essentially, two half-semester courses) at the request of our Engineering School. endobj endobj 36 0 obj endobj << /S /GoTo /D (section.0.4) >> endobj << /S /GoTo /D (section.0.13) >> (Properties of the determinant) endobj endobj 281 0 obj 417 0 obj << /S /GoTo /D (section.0.12) >> endobj 125 0 obj (Inner product spaces) 336 0 obj (Supercritical pitchfork bifurcation) << /S /GoTo /D (chapter.4) >> 329 0 obj (Differentiating elementary functions) << /S /GoTo /D (section.1.4) >> << /S /GoTo /D (section.0.7) >> (Two dimensions) A differential equation involving derivatives of the dependent variable with respect to only one independent variable is called an ordinary differential equation, e.g., 2 3 2 2 dy dy dx dx ⎛⎞ +⎜⎟ ⎝⎠ = 0 is an ordinary differential equation .... (5) Of course, there are differential equations … endobj 185 0 obj The appendices take about a quarter of the book and could serve as review materials or lessons on their own. 124 0 obj << /S /GoTo /D (section.10.1) >> endobj 13 0 obj << /S /GoTo /D (subsection.8.4.3) >> /ColorSpace /DeviceRGB << /S /GoTo /D (section.1.8) >> (RLC circuit) 208 0 obj (Bifurcation theory) 392 0 obj endobj << /S /GoTo /D (section.8.8) >> Chapter-5: Successive Differentiation Chapter-10: Indeterminate Forms Many examples are assisted by pictures which significantly improve the clarity of the exposition.